Curricula

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 konsultaatiowebinaaria kevään kuluessa

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritus perustuu harjoitusten aktiiviseen laskemiseen.

Student workload

27h opiskelua

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 konsultaatiowebinaaria kevään kuluessa

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritus perustuu harjoitusten aktiiviseen laskemiseen.

Student workload

27h opiskelua

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

The course is implemented 09.09.2024 - 18.12.2024 simultaneously with Math3.

Learning materials and recommended literature

Same as on Math 3 course

Teaching methods

Face-to-face lessons and self studying

Exam dates and retake possibilities

Detailed information is given on first contact lesson.

Student workload

Approximate workload: 1 op = 27 h

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Course is implemented in 2.9. - 1.12. The course is intended to be studied together with the implementation TZLM3300-3084.

Learning materials and recommended literature

Text files in the learning environment

Teaching methods

Guided exercises

Exam dates and retake possibilities

Schedule is given on the first page of the learning environment

Student workload

Lectures face-to-face 12 h. Independent work 15 h.

Further information for students

You have to submit your calculations

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, sessions during weeks 10-15.

Learning materials and recommended literature

Same as on Math 3 course

Teaching methods

Face-to-face lessons and self studying

Exam dates and retake possibilities

Detailed information is given on first contact lesson.

Student workload

10-15 h contact lessons
12-17 h self studying

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, approximately 6 sessions during weeks 10-11

Learning materials and recommended literature

Same as on Math3 Derivate and Integral course.
Exercises available in the learning environment.

Teaching methods

Contact lessons, guided exercises.
This course is intended to be taken at the same time with Math3 Derivate and Integral.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

Contact lessons 12 h
Self studying 15 h

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, sessions during weeks 10-15.

Learning materials and recommended literature

Same as on Math 3 course

Teaching methods

Face-to-face lessons and self studying

Exam dates and retake possibilities

Detailed information is given on first contact lesson.

Student workload

10-15 h contact lessons
12-17 h self studying

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, approximately 6 sessions during weeks 10-11

Learning materials and recommended literature

Same as on Math3 Derivate and Integral course.
Exercises available in the learning environment.

Teaching methods

Contact lessons, guided exercises.
This course is intended to be taken at the same time with Math3 Derivate and Integral.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

Contact lessons 12 h
Self studying 15 h

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, approximately 6 sessions during weeks 10-11

Learning materials and recommended literature

Same as on Math3 Derivate and Integral course.
Exercises available in the learning environment.

Teaching methods

Contact lessons, guided exercises.
This course is intended to be taken at the same time with Math3 Derivate and Integral.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

Contact lessons 12 h
Self studying 15 h

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 laskuharjoitussessiota viikoilla 10-15

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritustapa täsmentyy ensimmäisellä tapaamiskerralla. Suoritus perustuu harjoitusten aktiiviseen laskemiseen ja ryhmätyöskentelyyn osallistumiseen.

Student workload

27h opiskelua

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, approximately 6 sessions during weeks 2-7.

Learning materials and recommended literature

Same as on Math3 Derivate and Integral course.
Exercises available in the learning environment.

Teaching methods

Contact lessons, guided exercises.
This course is intended to be taken at the same time with Math3 Derivate and Integral.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

Contact lessons 12 h
Self studying 15 h

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Course is implemented in 5.2. - 30.4.2024

Learning materials and recommended literature

Text files in the learning environment

Teaching methods

Guided exercises

Exam dates and retake possibilities

Schedule is given on the first page of the learning environment

Student workload

Lectures face-to-face 16 h. Independent work 11 h.

Further information for students

Palautettavat tehtävät

Avoin AMK 5

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

konsultaatiowebinaareja tarpeen mukaan

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritus perustuu harjoitusten aktiiviseen laskemiseen.

Student workload

27h opiskelua

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Learning materials and recommended literature

Kurssilla käytetään Matematiikka 3 -kurssin materiaalia.

Teaching methods

Kurssin suoritus koostuu harjoitustehtävistä ja Moodleen rakennetuista automaattitesteistä.

Exam dates and retake possibilities

Kurssi suoritetaan osallistumalla laskutunneille ja tekemällä Moodlen testejä.

Student workload

8 h laskutunteja
19 h itsenäistä opiskelua ja testien tekoa

Further information for students

Kurssista saa hyväksytyn suorituksen kun osallistuu harjoitustilaisuuksiin ja tekee kaikki Moodlen testit.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 konsultaatiowebinaaria kevään kuluessa

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritus perustuu harjoitusten aktiiviseen laskemiseen.

Student workload

27h opiskelua

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 konsultaatiowebinaaria kevään kuluessa

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritus perustuu harjoitusten aktiiviseen laskemiseen.

Student workload

27h opiskelua

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Course is implemented in 30.10. - 10.12.2023. The course is intended to be studied together with the implementation TZLM3300-3067.

Learning materials and recommended literature

Text files in the learning environment

Teaching methods

Guided exercises

Exam dates and retake possibilities

Schedule is given on the first page of the learning environment

Student workload

Lectures face-to-face 12 h. Independent work 15 h.

Further information for students

You have to submit your calculations

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Course is implemented in 30.10. - 10.12.2023. The course is intended to be studied together with the implementation TZLM3300-3068.

Learning materials and recommended literature

Text files in the learning environment

Teaching methods

Guided exercises

Exam dates and retake possibilities

Schedule is given on the first page of the learning environment

Student workload

Lectures face-to-face 12 h. Independent work 15 h.

Further information for students

You have to submit your calculations

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Avoin AMK polkuopiskelijat: 5 paikkaa

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, approximately 6 sessions during weeks 10-15

Learning materials and recommended literature

Same as on Math3 Derivate and Integral course.
Exercises available in the learning environment.

Teaching methods

Contact lessons, guided exercises.
This course is intended to be taken at the same time with Math3 Derivate and Integral.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

Contact lessons 12 h
Self studying 15 h

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, approximately 6 sessions during weeks 10-16

Learning materials and recommended literature

Same as on Math3 Derivate and Integral course.
Exercises available in the learning environment.

Teaching methods

Remote classes. Guided exercises 2 h/week.
This course is intended to be taken at the same time with Math3 Derivate and Integral.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

Contact lessons 12 h
Self studying 15 h

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week, approximately 6 sessions during weeks 10-16

Learning materials and recommended literature

Same as on Math3 Derivate and Integral course.
Exercises available in the learning environment.

Teaching methods

Contact lessons, guided exercises.
This course is intended to be taken at the same time with Math3 Derivate and Integral.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

Contact lessons 12 h
Self studying 15 h

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Course is implemented in 6.3. - 14.4.2023

Learning materials and recommended literature

Text files in the learning environment

Teaching methods

Guided exercises

Exam dates and retake possibilities

Schedule is given on the first page of the learning environment

Student workload

Lectures face-to-face 12 h. Independent work 17 h.

Further information for students

Palautettavat tehtävät

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week,6 sessions during weeks 10-15.

Learning materials and recommended literature

Same as on Math3 Equations course

Teaching methods

Face-to-face lessons and self studying

Exam dates and retake possibilities

Detailed information is given on first contact lesson.

Student workload

10-15 h contact lessons
12-17 h self studying

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Course is implemented in 20.2. - 21.4.2023

Learning materials and recommended literature

Text files in the learning environment

Teaching methods

Guided exercises

Exam dates and retake possibilities

Schedule is given on the first page of the learning environment

Student workload

Lectures face-to-face 16 h. Independent work 11 h.

Further information for students

Palautettavat tehtävät

Avoin AMK 5

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 konsultaatiowebinaaria kevään kuluessa

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritus perustuu harjoitusten aktiiviseen laskemiseen.

Student workload

27h opiskelua

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Course is implemented in 6.3. - 14.4.2023

Learning materials and recommended literature

Text files in the learning environment

Teaching methods

Guided exercises

Exam dates and retake possibilities

Schedule is given on the first page of the learning environment

Student workload

Lectures face-to-face 12 h. Independent work 17 h.

Further information for students

Palautettavat tehtävät

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

The course is implemented 9.1.2023 - 26.2.2023.

Learning materials and recommended literature

Exercises available in the learning environment.

Teaching methods

This course is intended to be taken at the same time with Math2 Derivative and Integral TZLM3300-3057.

Online lessons, guided exercises, independent work.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

1 cr = 27h, of which...
- lessons 6h
- independent work 21h

Content scheduling

Themes will be discussed in tandem with the course Math3 Derivative and Integral TZLM3300-3057.

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

The course is implemented 9.1.2023 - 26.2.2023.

Learning materials and recommended literature

Exercises available in the learning environment.

Teaching methods

This course is intended to be taken at the same time with Math2 Derivative and Integral TZLM3300-3057.

Face-to-face lessons, guided exercises, independent work.

Exam dates and retake possibilities

Schedule will be presented at the beginning of the course.

Student workload

1 cr = 27h, of which...
- lessons 9h
- independent work 18h

Content scheduling

Themes will be discussed in tandem with the course Math3 Derivative and Integral TZLM3300-3057.

Further information for students

Assessment is based on sets of exercises.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Course is implemented in 13.2. - 21.4.2023

Learning materials and recommended literature

Text files in the learning environment

Teaching methods

Guided exercises

Exam dates and retake possibilities

Schedule is given on the first page of the learning environment

Student workload

Lectures face-to-face 16 h. Independent work 11 h.

Further information for students

Palautettavat tehtävät

Avoin AMK 5

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 laskuharjoitussessiota viikoilla 35-41

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritustapa täsmentyy ensimmäisellä tapaamiskerralla. Suoritus perustuu harjoitusten aktiiviseen laskemiseen ja ryhmätyöskentelyyn osallistumiseen.

Student workload

27h opiskelua

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

One session per week,6 sessions during weeks 35-41.

Learning materials and recommended literature

Same as on Math1 Equations course

Teaching methods

Face-to-face lessons and self studying

Exam dates and retake possibilities

Detailed information is given on first contact lesson.

Student workload

10-15 h contact lessons
12-17 h self studying

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Kevätlukukauden 2022 toinen puolisko.

Learning materials and recommended literature

Opintojakson kirjallinen materiaali jaetaan oppimisympäristössä.

Teaching methods

Ohjatut laskuharjoitukset 2 h/viikko.

Exam dates and retake possibilities

Tarkempi aikataulu esitellään opintojakson työtilassa oppimisympäristössä.

Alternative completion methods

Ei ole.

Student workload

Kontaktitunteja 14. Lisäksi itsenäistä työskentelyä 13 h.

Further information for students

Arviointimenetelmä:
Jatkuva näyttö viikkotehtävillä.

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Opintojakso toteutuu aikavälillä 7.3. - 29.4.2022 Lutakon kampuksella Dynamolla tai etänä Zoomin välityksellä

Learning materials and recommended literature

Opintojakson kirjallinen materiaali jaetaan oppimisympäristössä

Teaching methods

Ohjatut laskuharjoitukset 2 h/viikko.

Exam dates and retake possibilities

Tarkempi aikataulu esitellään opintojakson työtilassa oppimisympäristössä.

Student workload

Kontaktitunteja 14. Lisäksi itsenäistä työskentelyä 13

Further information for students

Arviointimenetelmä:
Jatkuva näyttö viikkotehtävillä.
Avoin AMK 10 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

Opintojakso toteutuu aikavälillä 7.3. - 29.4.2022 etänä Zoomin välityksellä

Learning materials and recommended literature

Opintojakson kirjallinen materiaali jaetaan oppimisympäristössä

Teaching methods

Ohjatut laskuharjoitukset 2 h/viikko.

Exam dates and retake possibilities

Tarkempi aikataulu esitellään opintojakson työtilassa oppimisympäristössä.

Student workload

Ohjauksia 14h. Lisäksi itsenäistä työskentelyä 13h.

Further information for students

Arviointimenetelmä:
Jatkuva näyttö viikkotehtävillä.
Avoin AMK verkko-opinnot 20 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 laskuharjoitussessiota kevään aikana

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritustapa täsmentyy ensimmäisellä tapaamiskerralla. Suoritus perustuu harjoitusten aktiiviseen laskemiseen ja ryhmätyöskentelyyn osallistumiseen.

Student workload

27h opiskelua

Further information for students

Avoin AMK monimuotototeutus 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

7 laskuharjoitussessiota kevään aikana
Ohjattua laskemista 14h, itsenäistä harjoittelua 13h

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritustapa täsmentyy ensimmäisellä kontaktikerralla.

Student workload

10-15 h kontakteja
12-17 h itseopiskelua

Further information for students

Avoin AMK monimuotototeutus 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

6 laskuharjoitussessiota kevään aikana,

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritustapa täsmentyy ensimmäisellä tapaamiskerralla. Suoritus perustuu harjoitusten aktiiviseen laskemiseen ja ryhmätyöskentelyyn osallistumiseen.

Student workload

27h opiskelua

Further information for students

Avoin AMK monimuotototeutus 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Time and location

7 laskuharjoitussessiota kevään aikana, konsultaatiosessioita etänä.

Learning materials and recommended literature

Mat 3 kurssin materiaali

Teaching methods

Laskuharjoitusten laskeminen ryhmässä sekä itsenäisesti

Exam dates and retake possibilities

Suoritustapa täsmentyy ensimmäisellä tapaamiskerralla. Suoritus perustuu harjoitusten aktiiviseen laskemiseen ja ryhmätyöskentelyyn osallistumiseen.

Student workload

27h opiskelua

Further information for students

Avoin AMK monimuotototeutus 5 paikkaa

Evaluation scale

Pass/Fail

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.

Objectives

Course purpose

This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.

Course competences

During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes (EA-KW).

Learning outcomes

After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.

Content

During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.

Evaluation scale

0-5

Evaluation criteria, pass/failed

You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.

Prerequisites

You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.