Math2 Functions (3 cr)
Code: TZLM2300-3016
General information
Enrollment
01.12.2020 - 30.04.2021
Timing
01.05.2021 - 31.08.2021
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 50
Degree programmes
- 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
Teachers
- Antti Kosonen
Teacher in charge
Antti Kosonen
Groups
-
ZJA21KTAvoin AMK, tekniikka
-
ZJK21KTIKorkeakoulujen välinen yhteistyö, TEKN, ICT
-
VAz21K1Kesän 2021 opinnot
Objectives
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
Time and location
The course is implemented 1.5. - 31.8.
Learning materials and recommended literature
Videos and written material in e-learning environment Moodle.
Recommended literature:
- Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen matematiikka 1
- Henttonen, Oinonen, Uusitalo: Tekniikan matematiikka 1
Teaching methods
Independent studying with videos, written learning material and exercises. Webinars in May and August.
Exam dates and retake possibilities
Final exam 17.8.2021
1. re-exam 7.9.2021
2. re-exam 28.9.2021
Student workload
27 h/op * 3op = 81 h
Content scheduling
A detailed schedule will be available in the e-learning environment when the course starts.
Further information for students
Avoin AMK 10
CampusOnline 20
Evaluation scale
0-5
Evaluation criteria, satisfactory (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.
Evaluation criteria, good (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.
Evaluation 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.
Prerequisites
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.