Mat2 Funktiot (3 cr)
Code: TZLM2300-3060
General information
Enrollment
01.08.2022 - 25.08.2022
Timing
31.10.2022 - 18.12.2022
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
Teknologiayksikkö
Campus
Pääkampus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Energia- ja ympäristötekniikka (AMK)
Teachers
- Antti Kosonen
Scheduling groups
- Päiväryhmä TER22S1 (Paikkoja: 50. Open UAS: 0.)
- Monimuotoryhmä TER22SM (Paikkoja: 50. Open UAS: 0.)
Groups
-
TER22S1Energia- ja ympäristötekniikka (AMK)
-
TER22SMEnergia- ja ympäristötekniikka (AMK)
-
ZJATER22S1Avoin amk, Energia- ja ympäristötekniikka
-
ZJATER22SMAvoin amk, Energia- ja ympäristötekniikka , monimuoto
Small groups
- Päiväryhmä TER22S1
- Monimuotoryhmä TER22SM
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 31.10.2022 - 18.12.2022.
Lectures will also be streamed online.
Guided exercises will be held at campus or online depending on the implementation of your degree programme.
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.
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 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
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 2023
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
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
Further information
Assessment is based on two-part final exam and 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.