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
-
ZJATER23S1Avoin amk, Energia- ja ympäristötekniikka , päivä
-
TER23S1Energia- ja ympäristötekniikka (AMK)
-
TER23SMEnergia- ja ympäristötekniikka (AMK)
-
ZJATER23SMAvoin 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.