Mat2 Funktiot (3 cr)
Code: TZLM2300-3009
General information
Enrollment
04.01.2021 - 10.01.2021
Timing
01.01.2021 - 31.05.2021
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
Teknologiayksikkö
Campus
Pääkampus
Teaching languages
- Finnish
Degree programmes
- Logistiikka (AMK)
- Rakennus- ja yhdyskuntatekniikka (AMK)
- Energia- ja ympäristötekniikka (AMK)
- Sähkö- ja automaatiotekniikka (AMK)
- Konetekniikka (AMK)
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Riitta Neittaanmäki
Teacher in charge
Pasi Lehtola
Groups
-
TLS20S1Logistiikka
-
ZJA20STPPLOAvoin AMK, tekn, AMK-polut (päivä), Logistiikka
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 between 11.1. - 26.2.2021
Oppimateriaali ja suositeltava kirjallisuus
Course material consists of written material.
Recommended literature:
- Alestalo, Lehtola, Nieminen, Rantakaulio - Tekninen matematiikka 1 (in Finnish)
- Lehtola, Rantakaulio - Tekninen matematiikka 2 (in Finnish)
- Majaniemi, Antti - Algebra 1 (in Finnish)
Teaching methods
Lectures, guided exercises, independent work
Exam schedules
The timetable of the course is agreed on at the first meeting of the course and then published in the e-learning environment.
Vaihtoehtoiset suoritustavat
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
The estimated workload is 81 hours, which is divided approximately fifty - fifty between contact teaching and independent work.
Content scheduling
The timetable of the course is agreed on at the first meeting of the course and then published in the e-learning environment.
Further information
Opintojaksoon liittyy palautettavia kotitehtäviä ja koe. Jotta kokeeseen voi osallistua, täytyy opintojakson kotitehtävistä olla tehtyinä väh. 50 %. Oppitunneilla on läsnäolovelvoite (80 %).
Avoin amk 5
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.