Math2 Functions (3 cr)
Code: TZLM2300-3006
General information
Enrollment
03.08.2020 - 30.08.2020
Timing
26.10.2020 - 20.12.2020
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
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
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ida Arhosalo
Teacher in charge
Pasi Lehtola
Groups
-
ZJA20STPPSAAvoin AMK, tekn, AMK-polut (päivä), Sähkö- ja automaatiotekniikka
-
TSA20SABachelor's Degree Programme in Electrical and Automation Engineering
-
TSA20S1Bachelor's Degree Programme in Electrical and Automation Engineering
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
26.10.2020 - 20.12.2020
Luentoja 2 kertaa viikossa 1,5h kerralla
Learning materials and recommended literature
Kurssin työtilasta liittyvä kirjallinen sekä videoina oleva materiaali.
Lisämateriaaliksi suositellaan esimerkiksi Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen Matematiikka 1 -oppikirjaa sekä Lehtola, Rantakaulio: Tekninen Matematiikka 2 -oppikirjaa tai vastaavia ammattikorkeakouluun suunnattuja matematiikan peruskurssien kirjoja.
Teaching methods
Kontaktiopetus, joka sisältää sekä luennointia että laskuharjoituksien laskemista. Osa laskuharjoituksista tehdään kotitehtävinä. Lisäksi kontaktituntien ulkopuolella opiskelija perehtyy kirjalliseen teoriamateriaaliin ja opetusvideoihin.
Exam dates and retake possibilities
Tenttien ajankohdat sovitaan kurssin ensimmäisellä kontaktikerralla.
Alternative completion methods
Kurssin alussa järjestettään tarvittaessa kurssikoe, jolla kurssin voi suorittaa pohjautuen aikaisemmin hankitun osaamisen todentamiseen.
Student workload
Kontaktiopetus noin 30h
Harjoitukset kontaktituntien ulkopuolella noin 25h
Teoriamateriaalin opiskelu, kokeisiin valmistautuminen ja kokeiden suorittaminen noin 25h
Further information for students
Suositellaan valitsemaan myös opintojakso Mat2 Tukiopinnot, jos lukion pitkän matematiikan opintoja ei ole pohjalla.
Avoin amk 5
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.