Mat2 Funktiot (3 cr)
Code: TZLM2300-3032
General information
Enrollment
02.08.2021 - 05.09.2021
Timing
30.08.2021 - 17.12.2021
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 - 70
Degree programmes
- Energia- ja ympäristötekniikka (AMK)
Teachers
- Antti Kosonen
Teacher in charge
Antti Kosonen
Groups
-
ZJA21STPPENAvoin amk, tekniikka Enegia- ja ympäristötekniikka, päivä
-
ZJA21STPMENAvoin amk, tekniikka, Energia- ja ympäristöteniikka, monimuoto
-
TER21S1Energia- ja ympäristötekniikka (AMK)
-
TER21SMEnergia- ja ympäristötekniikka (AMK)
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 25.10.2021 - 10.12.2021.
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.
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 41, depending on the implementation of your degree programme.
A grade-determining exam will take place during week 41.
Vaihtoehtoiset suoritustavat
Online course during autumn or spring
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
Further information
Avoin AMK 10
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.