Siirry suoraan sisältöön

Mat2 Funktiot (3 cr)

Code: TZLM2300-3083

General information


Enrollment

01.08.2023 - 24.08.2023

Timing

16.10.2023 - 04.02.2024

Number of ECTS credits allocated

3 op

Virtual portion

1.5 op

Mode of delivery

50 % Face-to-face, 50 % Online learning

Unit

Teknologiayksikkö

Teaching languages

  • Finnish

Seats

0 - 70

Degree programmes

  • Energia- ja ympäristötekniikka (AMK)

Teachers

  • Antti Kosonen

Scheduling groups

  • TER23S1 (Paikkoja: 45. Open UAS: 0.)
  • TER23SM (Paikkoja: 45. Open UAS: 0.)

Groups

  • ZJATER23S1
    Avoin amk, Energia- ja ympäristötekniikka , päivä
  • TER23S1
    Energia- ja ympäristötekniikka (AMK)
  • TER23SM
    Energia- ja ympäristötekniikka (AMK)
  • ZJATER23SM
    Avoin amk, Energia- ja ympäristötekniikka , monimuoto

Small groups

  • TER23S1
  • TER23SM
  • 14.11.2023 14:00 - 15:30, Mat2 Funktiot TZLM2300-3083
  • 15.11.2023 17:30 - 18:15, Mat2 Funktiot TZLM2300-3083
  • 16.11.2023 09:00 - 10:30, Mat2 Funktiot TZLM2300-3083
  • 21.11.2023 13:15 - 14:45, Mat2 Funktiot TZLM2300-3083
  • 22.11.2023 17:30 - 18:15, Mat2 Funktiot TZLM2300-3083
  • 23.11.2023 09:00 - 10:30, Mat2 Funktiot TZLM2300-3083
  • 28.11.2023 13:15 - 14:45, Mat2 Funktiot TZLM2300-3083
  • 29.11.2023 17:30 - 18:15, Mat2 Funktiot TZLM2300-3083
  • 30.11.2023 09:00 - 10:30, Mat2 Funktiot TZLM2300-3083
  • 04.12.2023 09:00 - 10:30, Mat2 Funktiot TZLM2300-3083
  • 07.12.2023 09:00 - 10:30, Mat2 Funktiot TZLM2300-3083
  • 08.12.2023 13:45 - 14:45, Mat2 Funktiot TZLM2300-3083
  • 12.12.2023 13:15 - 14:45, Mat2 Funktiot TZLM2300-3083
  • 12.12.2023 17:30 - 18:15, Mat2 Funktiot TZLM2300-3083
  • 14.12.2023 09:00 - 10:30, Mat2 Funktiot TZLM2300-3083
  • 08.01.2024 15:00 - 16:30, Mat2 Funktiot TZLM2300-3083
  • 10.01.2024 17:30 - 18:15, Mat2 Funktiot TZLM2300-3083
  • 11.01.2024 11:30 - 13:00, Mat2 Funktiot TZLM2300-3083
  • 16.01.2024 15:00 - 16:30, Mat2 Funktiot TZLM2300-3083
  • 17.01.2024 17:30 - 18:15, Mat2 Funktiot TZLM2300-3083
  • 18.01.2024 11:30 - 13:00, Mat2 Funktiot TZLM2300-3083
  • 23.01.2024 15:00 - 16:30, Mat2 Funktiot TZLM2300-3083
  • 24.01.2024 17:30 - 18:15, Mat2 Funktiot TZLM2300-3083
  • 25.01.2024 11:30 - 13:00, Mat2 Funktiot TZLM2300-3083
  • 29.01.2024 15:00 - 16:30, Mat2 Funktiot TZLM2300-3083
  • 31.01.2024 17:30 - 19:00, Mat2 Funktiot - Monimuoto-opiskelijoille mahdollisuus läpäisykokeen tekemiseen verkossa
  • 02.02.2024 12:15 - 14:45, Mat2 Funktiot TZLM2300-3083 - Arvosanakoe
  • 02.02.2024 16:30 - 19:00, Mat2 Funktiot arvosanakoe

Objective

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

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.

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.

Content

- 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

Location and time

The course is implemented 13.11.2023 - 4.2.2024.

Oppimateriaali ja suositeltava kirjallisuus

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.

Teaching methods

Lectures, guided exercises, independent work, exams.

Lectures will also be streamed online.

Guided exercises will be held at campus or online depending on the implementation of your degree programme.

Exam schedules

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 5 (2024), depending on your degree programme.

The exam that determines the grade will be held for everyone during week 5 starting on January 29, 2024.

The first resit exam will be held
- on February 21, 2024 for the traditional-mode course
- on February 22, 2024 for the flexible-mode course

The second resit exam will be held
- on March 20, 2024 for traditional-mode course
- on March 21, 2024 for the flexible-mode course

International connections

-

Vaihtoehtoiset suoritustavat

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 2024.

Student workload

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

Weekly use of time:

Lectures 2 * 45 min

Exercises 2 * 45 min

Additionally:
- Exams approximately 4 h
- Independent work approximately 55 - 60 h

Content scheduling

More detailed schedule will be announced at the beginning of the course, but the topics will be covered roughly in the following order:
- Revision and Supplementation of Functions
- Exponential Functions
- Logarithms
- Trigonometric Functions
- Trigonometric Functions
- Limits and Continuity of Functions

Further information

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

Evaluation scale

0-5

Arviointikriteerit, tyydyttävä (1-2)

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.

Arviointikriteerit, hyvä (3-4)

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.

Assessment criteria, excellent (5)

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.

Qualifications

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

Further information

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.