Curricula

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Contact learning is during 26.8. - 6.10.2024., and its schedule is given on the front page of the course.

Learning materials and recommended literature

Material is in the learning environment.

Teaching methods

Contact implementation

Exam dates and retake possibilities

Pass tests 1, 2 and 3 open throughout the course in Moodle. Final exam open in Exam studio 1.10. - 20.10.2024.

Student workload

Contact learning: in classroom 30 h and independent work 51 h.

Further information for students

Pass tests 1, 2 and 3. Final Exam in Exam studio.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented between 26.8. - 13.10.

Learning materials and recommended literature

Videos in the learning environment, text files, automatic tests

Teaching methods

Guided exercises, booklet tasks, independent work, automatic tests, exam.

Exam dates and retake possibilities

Exam at week 41
Resits in weeks 43 and 47

Student workload

Lectures, quided exercises and exam 30 h
Independent work and automatic tests 51 h

Content scheduling

Schedule will be agreed on the first contact lesson of the course.

Further information for students

Automatic tests
Exam

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Contact learning is during 21.8. - 4.10., and its schedule is given on the front page of the course.

Learning materials and recommended literature

Material is in the learning environment.

Teaching methods

Contact implementation

Exam dates and retake possibilities

Pass tests 1, 2 and 3 open throughout the course in Moodle. Final exam open in Exam studio 19.8. - 11.10. 2024

Student workload

Contact learning: in classroom 40 h and independent work 41 h.

Further information for students

Pass tests 1, 2 and 3. Final Exam in Exam studio.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented between 19.8. - 6.10.

Learning materials and recommended literature

Videos in the learning environment, text files, automatic tests

Teaching methods

Guided exercises, booklet tasks, independent work, automatic tests, exam.

Exam dates and retake possibilities

Pass exam in the Exam studio between 23.10. - 30.11.

Student workload

Lectures, quided exercises and exam 30 h
Independent work and automatic tests 51 h

Content scheduling

Schedule will be agreed on the first contact lesson of the course.

Further information for students

Jatkuva palaute: automaattitestit
Läpäisykoe

Avoin AMK 5

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course will be implemented from August 19, 2024 to October 6, 2024.

Learning materials and recommended literature

The material required for completing the course is available in the Moodle workspace of the course.

Teaching methods

Face-to-face learning: Lessons at Rajakatu campus
Independent studying with written material and weekly online tutoring sessions

Practical training and working life connections

-

Exam dates and retake possibilities

Exam in the week starting September 30
1. resit in the week starting October 21
2.resit in the week starting November 11

International connections

-

Alternative completion methods

- Hybrid implementation (online) at the same time in autumn 2023
- Online course at one's own pace

Student workload

Computational workload: 3 credits * 27 hours/credit = 81 hours

Content scheduling

The schedule will be specified at the beginning of the course, but the content is roughly covered in the following order on a weekly basis:

- rules of calculation, powers, and square roots
- polynomials and rational expressions
- equations
- percentage calculations and problems
- right triangle, areas, and volumes
- function notation, lines

Further information for students

The assessment of the course is based on the tests completed independently on the Moodle learning platform and a supervised final exam.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented between 19.8. - 4.10.

Learning materials and recommended literature

The material is in the learning environment, and it consists of files, videos, exercises by pen and paper and automatic tests.

When you get enough points of automatic tests, you are able to answer to the passing test. There is the time limit of 1,5 hours in the passing test. You can do every passing test three times.

You must pass the passing tests before the final exam.

Teaching methods

Distance learning, videos, booklet tasks, automatic tests, independent work, pass tests, exam. Contact learning if needed in Zoom 10 h. Thr first contact on Tuesday 20.8. klo 17:00 in address https://jamk.zoom.us/j/69210831752?pwd=cFZUQ3IzbHdwdC8xbUorczlUcXg1dz09

Exam dates and retake possibilities

The three pass tests of the learning environment must be passed before the final exam.

Final exam at Exam-studio open on 19.8. - 11.10.

The final exam can also be taken online under supervision during autumn at a time to be agreed separately.

Student workload

The calculated workload is the number of credits times 27 hours, so in this course it is 81 hours.

Independent work 77 h
Final exam 2 h

Content scheduling

All practice tests and pass tests are open throughout the implementation.

Further information for students

Each passing test gives in maximum 12 points. The maximum of the final exam is 64 points.

The course is passed if the point of each passing test is at least 9 points and the points of the final exam are at least 48.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course begins on 9.4. with a presentation of the course in Zoom at the course Zoom address https://jamk.zoom.us/j/61422159156, Passcode: 810239 at 17:30 - 18:30. The presentation can later be viewed on a recording, the address of which will appear on the front page of the workspace.

The course ends on 28.5. at 23:55.

The final exam that will conclude this implementation will be held on Thursday 23.5. at 17:30 - 19:00 in a web-controlled manner at the Zoom addresses of the monitoring groups to be announced later. Log in to the final exam control address already at 16:00 to check your identity and test environment. In the final exam, scratch paper is allowed, but formulas or electronic formulas and calculators or calculator programs are not allowed. The supervision of the final exam takes place with the help of the student's webcam or mobile phone used as a surveillance camera. More detailed instructions can be found on the Final exam tab in the workspace.

Learning materials and recommended literature

The material is in the learning environment, and it consists of files, videos, exercises by pen and paper and automatic tests.

Teaching methods

Notice! This implementation is an elective course for those intending to become multimodal students in energy and environmental engineering and mechanical engineering. Other students will be directed to other implementations of the corresponding course.

Course is web-based self-directed course in Moodle environment. There is no contact lessons on this course.

Guiding for use of the environment in Zoom
on Tue 9.4. at 17:30 - 18:30
on Thu 11.4. at 9:00 - 10:00
on Thu 11.4. at 15:00 - 16:00

Guiding for the final exam in Zoom
on Mon 13.5. at 17:30 - 18:30
on Wed 15.5. at 9:00 - 10:00
on Wed 15.5. at 15:00 - 16:00

Exam dates and retake possibilities

When you get enough points for the automatically scored practice test assignments and you have also completed the booklet assignments, you will have access to the pass tests. The time of the pass test is limited to one hour. You can take each pass test three times.

Pass tests must be passed before the final examination. Register for the final exam in advance no later than 16.5. In Moodle, on the tab Final exam and course feedback!

Alternative completion methods

There are no alternative ways of completing the course

Student workload

Independent work 79 h, exam 2 h.

When the course lasts about 6 weeks and there are 6 topics to cover, 13 hours are available for one subject area.

Content scheduling

The recommended course schedule can be found on the workspace tab Start here.

Further information for students

Each pass test gives a maximum of 12 points. The maximum score for the final exam is 64 points.

The selection score is the sum of the pass test points and the final exam score. The applicant must score at least 50 points in total in order to be admitted. Applicants are selected in order of points with the highest score first.

This course is accepted if the score for each passing test is at least 9 points and the final exam score is at least 48.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented 08.01.2024 - 18.05.2024

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.

Student workload

Independent work 79 h
Controlled exam 2 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented 01.01.2024 - 30.04.2024

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.

Student workload

Independent work 79 h
Controlled exam 2 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course is implemented at Gradia Viitaniemi campus in winter 2023 - 2024.

Learning materials and recommended literature

Material available in course's Moodle e-learning environment

Teaching methods

Contact teaching, guided exercises

Exam dates and retake possibilities

Will be agreed at the beginning of the course

Student workload

3 credits corresponds to 81 hours of work

Further information for students

Tests in the Moodle environment / exam

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course will take place during weeks 35 - 41 (28.8. - 13.10.2023) at the Lutakko campus in Dynamo.

Learning materials and recommended literature

The written course material and possible video material will be published in the course learning environment at the beginning of the course.

Teaching methods

Contact teaching 2+ 2 h/week, including short lectures and calculation exercises.
Weekly tests
Independent study
Independent work on exercises

Exam dates and retake possibilities

The dates of the tests and retests are published in the learning environment at the beginning of the course.

Student workload

Contact classes approx. 30 h
Independent exercises 24 h
Independent study, test preparation and tests 27 h

Further information for students

The course is completed by means of a passed tests (3 pieces) . The pass mark is 80% correct. In addition to the tests, a final exam (80% correct) must be passed. In order to take the test, you must obtain at least the minimum number of marks indicated in the test papers for the homework in the test area.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023) Lutakon kampuksella Dynamolla

Learning materials and recommended literature

Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.

Teaching methods

Kontaktiopetus 3+ 2 h/viikko , joka sisältää lyhyitä luentoja sekä laskuharjoituksia.
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset

Exam dates and retake possibilities

Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.

Student workload

Kontaktiopetus n. 30 h
Itsenäiset harjoitukset 24 h
Itsenäinen opiskelu, testeihin valmistautuminen sekä testit 27 h

Further information for students

Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.

Avoin AMK 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023) Lutakon kampuksella Dynamolla

Learning materials and recommended literature

Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.

Teaching methods

Kontaktiopetus 3+ 2 h/viikko , joka sisältää lyhyitä luentoja sekä laskuharjoituksia.
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset

Exam dates and retake possibilities

Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.

Student workload

Kontaktiopetus n. 30 h
Itsenäiset harjoitukset 24 h
Itsenäinen opiskelu, testeihin valmistautuminen sekä testit 27 h

Further information for students

Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.

Avoin AMK 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023)

Learning materials and recommended literature

Opintojakson kirjallinen materiaali sekä videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.

Teaching methods

Verkkototeutus, ei lähiopetusta
Itsenäistä opiskelua videoiden avulla
Verkko-ohjausta
Itsenäiset laskuharjoitukset

Exam dates and retake possibilities

Kokeen ajankohdat julkaistaan oppimisympäristössä opintojakson alussa. Kokeen voi tehdä paikan päällä tai etänä.

Student workload

verkko-ohjaukset 9 h
Itsenäiset harjoitukset 32 h
Itsenäinen opiskelu, kokeeseen valmistautuminen sekä koe 40 h

Further information for students

Opintoijakso arvioidaan kurssin lopulla pidettävällä kokeella. Viikottaisista kotitehtävistä saa kokeeseen lisäpisteitä.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented between 28.8. - 15.10.

Learning materials and recommended literature

Videos in the learning environment, text files, automatic tests

Teaching methods

Guided exercises, booklet tasks, independent work, automatic tests, exam.

Exam dates and retake possibilities

Exam at week 41
Resits in weeks 43 and 47

Student workload

Lectures, quided exercises and exam 30 h
Independent work and automatic tests 51 h

Content scheduling

Schedule will be agreed on the first contact lesson of the course.

Further information for students

Automatic tests
Exam

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Non-stop during semester 2023-2024

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, consultation webinars, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment.

Student workload

Independent work 79 h
Controlled exam 2 h

Further information for students

Avoin amk: 50 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023).

Learning materials and recommended literature

Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.

Teaching methods

Virtuaalitoteutus, videoluennot
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset
Valvottu koe

Exam dates and retake possibilities

Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.

Student workload

Verkkomateriaalin läpikäynti (luennot + tuntiharjoitukset) 40 h
Kotitehtävät + harjoitustestit 25 h
Pakolliset testit + koe 16 h

Further information for students

Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.

Avoin AMK 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course will be implemented from August 21, 2023 to October 15, 2023.

Learning materials and recommended literature

The material required for completing the course is available in the Moodle workspace of the course.

Teaching methods

Face-to-face learning: Lessons at Rajakatu campus
Independent studying with written material and weekly online tutoring sessions

Practical training and working life connections

-

Exam dates and retake possibilities

Supervised final exam during week 41 (October 9, 2023 - October 15, 2023)

International connections

-

Alternative completion methods

- Hybrid implementation (online) at the same time in autumn 2023
- Online course at one's own pace

Student workload

Computational workload: 3 credits * 27 hours/credit = 81 hours, of which
- lessons approximately 21 hours
- exams and tests approximately 3 hours
- independent work approximately 57 hours

Content scheduling

The schedule will be specified at the beginning of the course, but the content is roughly covered in the following order on a weekly basis:

- rules of calculation, powers, and square roots
- polynomials and rational expressions
- equations
- percentage calculations and problems
- right triangle, areas, and volumes
- function notation, lines

Further information for students

The assessment of the course is based on the tests completed independently on the Moodle learning platform and a supervised final exam.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented between 21.8. - 8.10.

Learning materials and recommended literature

Videos in the learning environment, text files, automatic tests

Teaching methods

Guided exercises, booklet tasks, independent work, automatic tests, exam.

Exam dates and retake possibilities

Pass exam in the Exam studio between 23.10. - 30.11.

Student workload

Lectures, quided exercises and exam 30 h
Independent work and automatic tests 51 h

Content scheduling

Schedule will be agreed on the first contact lesson of the course.

Further information for students

Jatkuva palaute: automaattitestit
Läpäisykoe

Avoin AMK 5

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course will be implemented from August 21, 2023 to October 15, 2023.

Learning materials and recommended literature

The material required for completing the course is available in the Moodle workspace of the course.

Teaching methods

E-learning: Independent studying with written material and weekly online tutoring sessions

Practical training and working life connections

-

Exam dates and retake possibilities

Supervised final exam during week 41 (October 9, 2023 - October 15, 2023).

International connections

-

Alternative completion methods

- Contact teaching (face-to-face instruction) at the same time in autumn 2023
- Online course at one's own pace.

Student workload

Computational workload: 3 credits * 27 hours/credit = 81 hours, of which
- guidance sessions approximately 8 hours
- exams and tests approximately 3 hours
- independent work approximately 70 hours

Content scheduling

The schedule will be specified at the beginning of the course, but the content is roughly covered in the following order on a weekly basis:

- rules of calculation, powers, and square roots
- polynomials and rational expressions
- equations
- percentage calculations and problems
- right triangle, areas, and volumes
- function notation, lines

Further information for students

The assessment of the course is based on the tests completed independently on the Moodle learning platform and a supervised final exam.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented 1.8. - 31.12.

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.

Student workload

Independent work 79 h
Controlled exam 2 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Teaching methods

Toteutus lähtötasotestin hallinnointia varten.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023).

Learning materials and recommended literature

Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.

Teaching methods

Oppitunnit
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset
Valvottu loppukoe

Exam dates and retake possibilities

Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.

Student workload

Oppitunnit ja materiaalin läpikäynti (luennot + tuntiharjoitukset) 40 h
Kotitehtävät + harjoitustestit 25 h
Pakolliset testit + koe 16 h

Further information for students

Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course will be open on 10.4. The course begins on 11.4. by introduction in Zoom in https://jamk.zoom.us/j/61422159156, Passcode: 810239 at 17:00 - 18:00.

The course ends on 29.5. at 23:55.

The final exam is on 23.5. at 17:00 - 19:30 in Zoom.

Learning materials and recommended literature

The material is in the learning environment, and it consists of files, videos, exercises by pen and paper and automatic tests.

When you get enough points of automatic tests and you have also done the following exercises in pdf-files, you are able to answer to the passing test. There is the time limit of one hour in the passing test. You can do every passing test three times.

You must pass the passing tests before the final exam.

Teaching methods

Notice! This implementation is an elective course for those intending to become multimodal students in energy and environmental engineering and mechanical engineering. Other students will be directed to other implementations of the corresponding course.

Course is web-based self-directed course in Moodle environment. There is no contact lessons on this course.

Guiding is available for use of the environment if needed on 11.4., 18.4., 24.4, 3.5. and the practices in exam 9.5., 15.5. and 22.5. at 17:00 - 18:00 in Zoom in the address of the course.

Exam dates and retake possibilities

You must pass the three passing tests before the final exam. Register for the final exam in Moodle in advance no later than May 19!

Final exam is in Zoom on 23.5. at 17:00 - 19:30. The final exam cannot be repeated.

Student workload

Independent work 79 h, exam 2 h.

Further information for students

Each passing test gives in maximum 12 points. The maximum of the final exam is 64 points.

The applicant must obtain at least 50 points of the course to become chosen. The applicants are chosen in order of points, the highest score first.

The course is passed if the point of each passing test is at least 9 points and the points of the final exam are at least 51.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented 1.8. - 31.12.

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.

Student workload

Independent work 79 h
Controlled exam 2 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course is implemented at Gradia Viitaniemi campus in autumn 2022.

Learning materials and recommended literature

Material available in course's Moodle e-learning environment

Teaching methods

Contact teaching, guided exercises

Exam dates and retake possibilities

Will be agreed at the beginning of the course

Student workload

3 credits corresponds to 81 hours of work

Further information for students

Tests in the Moodle environment / exam

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Non-stop during semester 2022-2023

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, consultation webinars, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment.

Student workload

Independent work 79 h
Controlled exam 2 h

Further information for students

Avoin amk: 50 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Opintojakso toteutetaan viikoilla 35 - 41 (29.8. - 14.10.2022) Lutakon kampuksella Dynamolla

Learning materials and recommended literature

Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.

Teaching methods

Virtuaalitoteutus.
Opintojakso opiskellaan itsenäisesti Moodlessa olevan materiaalin avulla.
Itsenäiset laskuharjoitukset.
Opintojaksolla ei ole kiinteitä tunteja lukujärjestyksessä, mutta ohjausta saa opintojakson Teams-kanavalla.

Exam dates and retake possibilities

Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintojakson alussa.

Student workload

Itsenäinen opiskelu ja harjoitukset 54 h
Testeihin ja loppukokeeseen valmistautuminen sekä testit +koe 27 h

Further information for students

Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.

Loppukoe pidetään valvottuna Dynamolla.

Toteutus soveltuu parhaiten lukion käyneille, joilla on tarvetta kerrata matematiikan perusteita.

Avoin AMK 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Opintojakso toteutetaan viikoilla 35 - 41 (29.8. - 14.10.2022) Lutakon kampuksella Dynamolla

Learning materials and recommended literature

Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.

Teaching methods

Kontaktiopetus 3+ 2 h/viikko , joka sisältää lyhyitä luentoja sekä laskuharjoituksia.
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset

Exam dates and retake possibilities

Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.

Student workload

Kontaktiopetus n. 30 h
Itsenäiset harjoitukset 24 h
Itsenäinen opiskelu, testeihin valmistautuminen sekä testit 27 h

Further information for students

Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.

Avoin AMK 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Opintojakso toteutetaan viikoilla 35 - 41 (29.8. - 14.10.2022) Lutakon kampuksella Dynamolla

Learning materials and recommended literature

Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.

Teaching methods

Kontaktiopetus 3+ 2 h/viikko , joka sisältää lyhyitä luentoja sekä laskuharjoituksia.
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset

Exam dates and retake possibilities

Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.

Student workload

Kontaktiopetus n. 30 h
Itsenäiset harjoitukset 24 h
Itsenäinen opiskelu, testeihin valmistautuminen sekä testit 27 h

Further information for students

Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.

Avoin AMK 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Weeks 34 - 40

Learning materials and recommended literature

The written material of the course as well as possible video material will be published in the learning environment of the course at the beginning of the course.

Teaching methods

Teaching 2+2 hours / week
Self-study

Exam dates and retake possibilities

The dates of the exams are published in the learning environment at the beginning of the course.

Student workload

Contact teaching and exams approx. 30 h
Independent study approx. 50 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Weeks 35 - 41

Learning materials and recommended literature

The written material of the course as well as possible video material will be published in the learning environment of the course at the beginning of the course.

Teaching methods

Teaching 2+2 hours / week
Self-study

Exam dates and retake possibilities

The dates of the exams are published in the learning environment at the beginning of the course.

Student workload

Contact teaching and exams approx. 30 h
Independent study approx. 50 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The initial level test is during the start week according to the time table of each degree program. Contact learning is during 22.8. - 7.10., and its schedule is given on the front page of the course.

Learning materials and recommended literature

Material is in the learning environment.

Teaching methods

Course is web-based course before the new student's start week. For those who don't pass the initial level test during the start week this course is in contact learning.

Exam dates and retake possibilities

Verkkototeutuksen loppukoe aloitusviikolla.
Kontaktitoteutuksen loppukoe viikolla 40.

Student workload

Web-based course: independent work 79 h, the initial level test 2 h.
Contact learning: in classroom 40 h and independent work 41 h.

Further information for students

Läpäisytestit 1, 2 ja 3. Valvottu loppukoe.

Avoin amk 10

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The initial level test is during the start week according to the time table of each degree program. Contact learning is during 22.8. - 7.10., and its schedule is given on the front page of the course.

Learning materials and recommended literature

Material is in the learning environment.

Teaching methods

Course is web-based course before the new student's start week. For those who don't pass the initial level test during the start week this course is in contact learning.

Exam dates and retake possibilities

Verkkototeutuksen loppukoe aloitusviikolla.
Kontaktitoteutuksen loppukoe viikolla 40.

Student workload

Web-based course: independent work 79 h, the initial level test 2 h.
Contact learning: in classroom 40 h and independent work 41 h.

Further information for students

Läpäisytestit 1, 2 ja 3. Valvottu loppukoe.

Avoin amk 10

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Course is implemented 1.8. - 31.12.

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.

Student workload

Independent work 79 h
Controlled exam 2 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The initial level test is during the start week according to the time table of each degree program. Contact learning is during 22.8. - 7.10., and its schedule is given on the front page of the course.

Learning materials and recommended literature

Material is in the learning environment.

Teaching methods

Course is web-based course before the new student's start week. For those who don't pass the initial level test during the start week this course is in contact learning.

Exam dates and retake possibilities

Verkkototeutuksen loppukoe aloitusviikolla.
Kontaktitoteutuksen loppukoe viikolla 40.

Student workload

Web-based course: independent work 79 h, the initial level test 2 h.
Contact learning: in classroom 40 h and independent work 41 h.

Further information for students

Läpäisytestit 1, 2 ja 3. Valvottu loppukoe.

Avoin amk 10

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Weeks 35 - 41
The course is co-ordinated by Logistics Programmes

Learning materials and recommended literature

The written material of the course as well as possible video material will be published in the learning environment of the course at the beginning of the course.

Teaching methods

Teaching 2+2 hours / week
Self-study

Exam dates and retake possibilities

The dates of the exams are published in the learning environment at the beginning of the course.

Student workload

Contact teaching and exams approx. 30 h
Independent study approx. 50 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course begins on 11.4. by introduction in Zoom in https://jamk.zoom.us/j/61422159156, Passcode: 810239 at 17:00 - 18:00.

The course ends on 29.5.

The final exam is on 24.5. at 18:00 - 19:30 in Zoom.

Learning materials and recommended literature

The material is in the learning environment, and it consists of files, videos, exercises by pen and paper and automatic tests.

When you get enough points of automatic tests and you have also done the following exercises in pdf-files, you are able to answer to the passing test. There is the time limit of one hour in the passing test. You can do every passing test three times.

You must pass the passing tests before the final exam.

Teaching methods

Notice! This implementation is an elective course for those intending to become multimodal students in energy and environmental engineering and mechanical engineering. Other students will be directed to other implementations of the corresponding course.

Course is web-based self-directed course in Moodle environment. There is no contact lessons on this course.

Guiding for use of the environment and the practices in exam is available if needed in Zoom in the address of the course on 11.4., 18.4., 25.4, 2.5., 9.5., 16.5., 23.5. and 24.5. at 17:00 - 18:00.

Exam dates and retake possibilities

You have to pass the three passing tests before the final exam. Register for the final exam in Moodle in advance no later than May 19!

Final exam is in Zoom on 24.5. at 18:00 - 19:30. The final exam cannot be repeated.

Student workload

Web-based course: independent work 79 h, exam 2 h.

Further information for students

Each passing test gives in maximum 12 points. The maximum of the final exam is 64 points.

The applicant must obtain at least 50 points of the course to become chosen. The applicants are chosen in order of points, the highest score first.

The course is passed if the points of each passing test is at least 9 points and the points of the final exam are at least 51.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Exams during spring semester 2022 on in the beginning of autumn 2022

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, consultation webinars, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment.

Student workload

Independent work 79 h
Controlled exam 2 h

Further information for students

Avoin amk: 30 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

The course is implemented at Gradia Viitaniemi campus 2.11.2021-31.1.2022.

Learning materials and recommended literature

Material available in course's Moodle e-learning environment

Teaching methods

Contact teaching, guided exercises

Exam dates and retake possibilities

Will be agreed at the beginning of the course

Student workload

3 credits corresponds to 81 hours of work

Further information for students

Tests in the Moodle environment / exam

Evaluation scale

0-5

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.

Objectives

Course purpose

During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.

Course competences

EUR-ACE: Knowledge and understanding 
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.

Learning outcomes

After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.

Content

Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.

Time and location

Exams during spring semester 2022

Learning materials and recommended literature

Videos and text files in the learning environment, automatic tests

Teaching methods

Learning videos, independent work, automatic tests, consultation webinars, exam

Exam dates and retake possibilities

Schedule will be given on the front page of the learning environment.

Student workload

Independent work 79 h
Controlled exam 2 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.

Further information

The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.