Math2 Functions (TZLM2300)

Math2 Functions, 3 cr - TZLM2300

Math2 Functions (TZLM2300-3022), 30.08.2021 – 30.08.2022,
3 cr (ZJK22KT, ...) — Online learning + -
Language of instruction

Finnish

Timing

30.08.2021 - 30.08.2022

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

The course will be conducted independently in an e-learning environment. The course material consists of written and and video material, exercises and a final exam.

Learning materials and recommended literature

Written material and video material.

Campus

Main Campus

Exam dates and re-exam possibilities

Schedule will be announced in the e-learning environment

Learning assignments and student workload

3 cr * 27 h/cr = 81 h.

Enrollment

02.08.2021 - 31.05.2022
Groups
- ZJK22KT
- ZJA21ST
- LOGAKTIIVI
- ZJA22KT
Seats

0 - 15

Assessment methods

Avoin AMK syksy 5

Avoin AMK polku kevät 15

Avoin AMK kevät 5

Avoin AMK kesä 10

CampusOnline 20 (not translated)

Degree Programme

Bachelor's Degree Programme in Logistics

Mode of delivery

Online learning

Share of virtual studies

3 cr

Unit

School of Technology
Math2 Functions (TZLM2300-3037), 03.01.2022 – 31.05.2022,
3 cr (ZJA21KTPML) — Face-to-face + -
Language of instruction

Finnish

Timing

03.01.2022 - 31.05.2022

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

Verkko-opetus, itsenäinen työsentely. (not translated)

Learning materials and recommended literature

Kurssilla saat käyttöösi opintojaksoa varten laaditut oppimateriaalit (kirjallinen- ja videomateriaali) (not translated)

Learning assignments and student workload

3op * 27h/op = 81h (not translated)
Groups
- ZJA21KTPML
Alternative learning methods

Verkkototeutus kesällä 2022. (not translated)

Assessment methods

AVOIN AMK (not translated)

Degree Programme

Bachelor's Degree Programme in Logistics, Bachelor's Degree Programme in Construction and Civil Engineering, Bachelor's Degree Programme in Energy and Environmental Technology, Bachelor's Degree Programme in Electrical and Automation Engineering, Bachelor's Degree Programme in Mechanical Engineering, Bachelor's Degree Programme in Information and Communications Technology, Bachelor's Degree Programme in Purchasing and Logistics Engineering

Mode of delivery

Face-to-face

Unit

School of Technology
Math2 Functions (TZLM2300-3039), 09.01.2023 – 24.02.2023,
3 cr (TTV22S1) — Face-to-face + -
Language of instruction

Finnish

Timing

09.01.2023 - 24.02.2023

Lecturer(s)

Pekka Varis

Planned learning activities, teaching methods and guidance

Kontaktiopetus 2+2 h/viikko (luentoja ja laskuharjoituksia)
Videoluentoja
Itsenäisiä laskuharjoituksia (not translated)

Learning materials and recommended literature

Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa. (not translated)

Campus

Lutakko Campus

Exam dates and re-exam possibilities

Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä. (not translated)

Learning assignments and student workload

Kontaktiopetus noin 25 h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25 h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25 h (not translated)
Groups
- TTV22S1
Alternative learning methods

Mahdollisuus tenttiä kurssikokeella opintojakson alussa. (not translated)

Seats

0 - 35

Assessment methods

Arviointimenetelmä:

Kurssin lopussa pidetään koe. Viikoittaisista kotitehtävistä saa kokeeseen lisäpisteitä.

Suositellaan valitsemaan myös opintojakso Mat2 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla. (not translated)

Degree Programme

Bachelor's Degree Programme in Information and Communications Technology

Mode of delivery

Face-to-face

Unit

School of Technology
Math2 Functions (TZLM2300-3041), 09.01.2023 – 24.02.2023,
3 cr (TIC22S1) — Face-to-face + -
Language of instruction

English

Timing

09.01.2023 - 24.02.2023

Lecturer(s)

Harri Varpanen

Campus

Lutakko Campus
Groups
- TIC22S1
Seats

0 - 35

Degree Programme

Bachelor's Degree Programme in Information and Communications Technology

Mode of delivery

Face-to-face

Unit

School of Technology
Math2 Functions (TZLM2300-3042), 09.01.2023 – 24.02.2023,
3 cr (TTV22S2, ...) — Face-to-face + -
Language of instruction

Finnish

Timing

09.01.2023 - 24.02.2023

Lecturer(s)

Pekka Varis

Planned learning activities, teaching methods and guidance

Kontaktiopetus 2+2 h/viikko (luentoja ja laskuharjoituksia)
Videoluentoja
Itsenäisiä laskuharjoituksia (not translated)

Learning materials and recommended literature

Opettajan oppimisympäristössä julkaisema kirjallinen materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa. (not translated)

Campus

Lutakko Campus

Exam dates and re-exam possibilities

Tentin ajankohdat ja uusintapäivät julkaistaan opintojakson ensimmäisellä kerralla opintojakson oppimisympäristössä. (not translated)

Learning assignments and student workload

Kontaktiopetus noin 25 h. Joillakin viikoilla voi olla etäopetusta Dynamon tilojen käytettävyydestä riippuen.
Harjoitukset kontaktituntien ulkopuolella noin 25 h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25 h (not translated)
Groups
- TTV22S2
- ZJA22STI
Alternative learning methods

Mahdollisuus tenttiä kurssikokeella opintojakson alussa. (not translated)

Seats

0 - 30

Assessment methods

Arviointimenetelmä:

Kurssin lopussa pidetään koe. Viikoittaisista kotitehtävistä saa kokeeseen lisäpisteitä.

Suositellaan valitsemaan myös opintojakso Mat2 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla. (not translated)

Degree Programme

Bachelor's Degree Programme in Information and Communications Technology

Mode of delivery

Face-to-face

Unit

School of Technology
Math2 Functions (TZLM2300-3053), 09.01.2023 – 19.05.2023,
3 cr (TRY22S1) — Face-to-face + -
Language of instruction

Finnish

Timing

09.01.2023 - 19.05.2023

Lecturer(s)

Anne Rantakaulio

Planned learning activities, teaching methods and guidance

Lectures face-to-face, guided exercises, booklet tasks, independent work, automatic tests, exam.

Learning materials and recommended literature

Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1 and in Lehtola - Rantakaulio: Tekninen matematiikka 2

Campus

Main Campus

Exam dates and re-exam possibilities

Läpäisykoe Exam-studiossa aikavälillä 23.1. - 10.3.
Arvosanakoe viikolla 7, sen uusintakoe 1 viikolla 10 ja uusintakoe 2 viikolla 13. (not translated)

Learning assignments and student workload

Lectures, quided exercises and exam 40 h
Independent work and automatic tests 40 h

Enrollment

01.11.2022 - 05.01.2023

Content scheduling

Will be agreed on the first contact lesson of the course.
Groups
- TRY22S1
Alternative learning methods

Web-based course in Summer 2023

Seats

0 - 55

Assessment methods

Jatkuva palaute: automaattitestit

Läpäisykoe

Arvosanakoe

Bonustehtävä

Avoin AMK 5 (not translated)

Degree Programme

Bachelor's Degree Programme in Construction and Civil Engineering

Mode of delivery

Face-to-face

Unit

School of Technology
Math2 Functions (TZLM2300-3054), 29.08.2022 – 13.11.2022,
3 cr (ZJA22KTPML, ...) — Face-to-face + -
Language of instruction

Finnish

Timing

29.08.2022 - 13.11.2022

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

Online-lessons, contact teaching, independent work.

Learning materials and recommended literature

Written material and video material prepared by teacher.

Campus

Main Campus

Exam dates and re-exam possibilities

Final exam in two parts during week 45.

Learning assignments and student workload

3 cr * 27 h/cr = 81 h.

Enrollment

01.08.2022 - 25.08.2022

Content scheduling

A more detailed schedule will be presented at the beginning of the course, but the content will be arranged more or less as follows:
1. Revision and Supplementation of Functions
2. Exponential Functions and Logarithms
3. Trigonometric Functions
4. Limits and Continuity of Functions
Groups
- ZJA22KTPML
- ZJA21STPML
- TLS22KMM
Alternative learning methods

Independently conducted online course during autumn or spring. Face-to-face implementations are arranged in both autumn and spring.

Seats

0 - 40

Assessment methods

Assessment is based on two-part final exam and exercises.

Degree Programme

Bachelor's Degree Programme in Logistics

Mode of delivery

Face-to-face

Unit

School of Technology
Math2 Functions (TZLM2300-3056), 29.08.2022 – 21.12.2022,
3 cr (LOGRAKVERKKO) — Online learning + -
Language of instruction

Finnish

Timing

29.08.2022 - 21.12.2022

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

Independent studying with videos, written learning material and exercises.

Learning materials and recommended literature

Videos and written material in e-learning environment Moodle.

Recommended literature (in Finnish):
- Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen matematiikka 1
- Henttonen, Oinonen, Uusitalo: Tekniikan matematiikka 1

Campus

Main Campus

Exam dates and re-exam possibilities

Possible dates for exam / resit:
- 9.11.2022
- 30.11.2022
- 14.12.2022
- 18.1.2023
- 8.2.2023

Learning assignments and student workload

Calculatory workload:
27 h/op * 3op = 81 h

Of this approximately
- 32 h of studying the material
- 45 h of exercises
- 4 h for exams.

Enrollment

01.08.2022 - 25.08.2022

Content scheduling

A detailed schedule will be available in the e-learning environment when the course starts.
Groups
- LOGRAKVERKKO
Alternative learning methods

Face-to-face or hybrid implementation in autumn or in spring. Online course in spring or in summer 2023.

Seats

0 - 20

Assessment methods

Summative assessment is based on a two-part final exam in which you can participate at Rajakatu campus or online.

Degree Programme

Bachelor's Degree Programme in Logistics, Bachelor's Degree Programme in Construction and Civil Engineering

Mode of delivery

Online learning

Share of virtual studies

3 cr

Unit

School of Technology
Math2 Functions (TZLM2300-3057), 09.01.2023 – 19.05.2023,
3 cr (LOGRAKVERKKO) — Online learning + -
Language of instruction

Finnish

Timing

09.01.2023 - 19.05.2023

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

Independent studying with videos, written learning material and exercises.

Learning materials and recommended literature

Videos and written material in e-learning environment Moodle.

Recommended literature (in Finnish):
- Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen matematiikka 1
- Henttonen, Oinonen, Uusitalo: Tekniikan matematiikka 1

Campus

Main Campus

Exam dates and re-exam possibilities

Possible dates for exam / resit:
- 18.1.2023
- 8.2.2023
- 22.3.2023
- 12.4.2023
- 17.5.2023
- 31.5.2023

Learning assignments and student workload

Calculatory workload:
27 h/op * 3op = 81 h

Of this approximately
- 32 h of studying the material
- 45 h of exercises
- 4 h for exams.

Enrollment

01.11.2022 - 05.01.2023

Content scheduling

A detailed schedule will be available in the e-learning environment when the course starts.
Groups
- LOGRAKVERKKO
Alternative learning methods

Face-to-face or hybrid implementation in spring. Online course in spring or in summer 2023.

Seats

0 - 5

Assessment methods

Summative assessment is based on a two-part final exam in which you can participate at Rajakatu campus or online.

Degree Programme

Bachelor's Degree Programme in Logistics, Bachelor's Degree Programme in Construction and Civil Engineering

Mode of delivery

Online learning

Share of virtual studies

3 cr

Unit

School of Technology
Math2 Functions (TZLM2300-3060), 31.10.2022 – 18.12.2022,
3 cr (TER22S1, ...) — Face-to-face, Online learning + -
Language of instruction

Finnish

Timing

31.10.2022 - 18.12.2022

Lecturer(s)

Antti Kosonen

Planned learning activities, teaching methods and guidance

Lectures, guided exercises, independent work, exams.

Learning materials and recommended literature

Written material, video material and exercises prepared by teacher.

Appropriate textbooks in Finnish:
- Alestalo, S., Lehtola, P., Nieminen, T. & Rantakaulio, A. 2011. Tekninen matematiikka 1. 1. uusittu painos. Tampere: Tammertekniikka.
- Rantakaulio, A. & Lehtola, P. 2013. Tekninen matematiikka: 2. 1. uus. p. Tampere: Tammertekniikka.
- Henttonen, J., Peltomäki, J. & Uusitalo, S. 2003. Tekniikan matematiikka: 1. Helsinki: Edita.

Exam dates and re-exam possibilities

Exam to pass the course will be done independently during the course in e-exam studio or as a more traditional supervised exam during week 50, depending on the implementation of your degree programme.

A grade-determining exam will take place during week 50.

First resit 18.1.2023
Second resit 8.2.2023

Learning assignments and student workload

For six weeks:

Lectures 2 * 45 min

Exercises (depending on programme): 3 * 45 min or 2 * 45 min

Additionally:

Exams approximately 4 h

Independent work approximately 55 - 60 h

Enrollment

01.08.2022 - 25.08.2022

Content scheduling

Themes will be discussed in the following order (one week / theme):
1. Revision and Supplementation of Functions
2. Exponential Functions
3. Logarithms
4. Trigonometric Functions
5. Trigonometric Functions
6. Limits and Continuity of Functions
Groups
- TER22S1
- TER22SM
Alternative learning methods

Face-to-face, hybrid and online implementations are available in autumn and in spring. It is also possible to attend the course online during summer 2023
Small groups
- Päiväryhmä TER22S1 (: 50. : 0.)
- Monimuotoryhmä TER22SM (: 50. : 0.)
Seats

0 - 60

Assessment methods

Assessment is based on two-part final exam and exercises.

Degree Programme

Bachelor's Degree Programme in Energy and Environmental Technology

Mode of delivery

Face-to-face, Online learning

Share of virtual studies

2 cr

Unit

School of Technology
Math2 Functions (TZLM2300-3061), 15.08.2022 – 21.05.2023,
3 cr (TKN22S1, ...) — Face-to-face + -
Language of instruction

Finnish

Timing

15.08.2022 - 21.05.2023

Lecturer(s)

Anne Rantakaulio

Planned learning activities, teaching methods and guidance

Lectures face-to-face, guided exercises, booklet tasks, independent work, automatic tests, exam.

Learning materials and recommended literature

Videos in the learning environment, text files, automatic tests
Extra material in Alestalo - Lehtola - Nieminen - Rantakaulio: Tekninen matematiikka 1 and in Lehtola - Rantakaulio: Tekninen matematiikka 2

Campus

Main Campus

Exam dates and re-exam possibilities

Läpäisykoe Exam-studiossa aikavälillä 16.1. - 10.3.
Arvosanakoe viikolla 6, sen uusintakoe 1 viikolla 10 ja uusintakoe 2 viikolla 13. (not translated)

Learning assignments and student workload

Lectures, quided exercises and exam 40 h
Independent work and automatic tests 40 h

Enrollment

01.08.2022 - 25.08.2022

Content scheduling

Will be agreed on the first contact lesson of the course.
Groups
- TKN22S1
- TKN22SM
Alternative learning methods

Web-based course in Summer 2023

Seats

0 - 80

Assessment methods

Jatkuva palaute: automaattitestit

Läpäisykoe

Arvosanakoe

Bonustehtävä

Avoin AMK 5 (not translated)

Degree Programme

Bachelor's Degree Programme in Mechanical Engineering

Mode of delivery

Face-to-face

Unit

School of Technology
Show all (11) Hide

Course purpose

During this course you will expand the range of mathematical tools needed in your studies in the field of technology by studying the notion of a function and the use of functions in modelling different phenomena.

Course competences

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 know the notion of a function, recognise the type of a given function and understand the properties of different kinds of functions.

- The notion of a function and the notation related to functions
- Logarithmic functions and equations
- Exponential functions and equations
- Trigonometric functions: the sine curve
- The use of functions in modelling
- Piecewise defined functions
- Combined functions
- Inverse functions
- Limit of a function

The course offers good mathematical competencies for studies in other fields than technology. The course is also offered in the open university of applied sciences.

You are able to simplify polynomial and rational expressions. You understand the notion of an equation and common principles to solve equations.

0-5

Grade 1

You understand the notion of function and the notation related to functions. You recognise basic elementary functions. You are able to analyze functions with the help of information technology. You can solve basic tasks by using a model.

Grade 2

You understand the notion of function and the notation related to functions. You recognise basic elementary functions. You know basic properties of different types of functions. You are able to independently solve basic tasks. Your use of notation is dubious.

Grade 3

You understand the notion of function and the notation related to functions. You can analyze the graph of a function by inspecting the expression of the function and draw the graph without information technology. You are able to solve necessary function-related equations and model simple problems with functions.

Grade 4

You are able to analyze the properties of different types of functions also when the functions expressions contains parameters. Your notation is clear and valid. You solve function-related equations validly. You are able to model phenomena with functions, but you apply your knowledge uncertainly in new situations.

Grade 5

You are able to analyze the properties of different types of functions also when the functions expressions contains parameters. Your notation is precise. You solve function-related equations validly. You are able to model phenomena with functions and apply your knowledge in new situations.

Math2 Functions, 3 cr - TZLM2300

Upcoming implementations