Mat2 Funktiot (3 cr)
Code: TZLM2300-3081
General information
Enrollment
01.08.2023 - 24.08.2023
Timing
01.08.2023 - 15.10.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Online learning
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 Information and Communications Technology
- Rakennusmestari (AMK)
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Pekka Varis
Groups
-
TSA23KMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
- 31.08.2023 19:00 - 20:00, Mat2 Funktiot TZLM2300-3081
- 07.09.2023 19:00 - 20:00, Mat2 Funktiot TZLM2300-3081
- 14.09.2023 19:00 - 20:00, Mat2 Funktiot TZLM2300-3081
- 21.09.2023 19:00 - 20:00, Mat2 Funktiot TZLM2300-3081
- 28.09.2023 19:00 - 20:00, Mat2 Funktiot TZLM2300-3081
- 05.10.2023 19:00 - 20:00, Mat2 Funktiot TZLM2300-3081
- 12.10.2023 19:00 - 20:00, Mat2 Funktiot TZLM2300-3081
- 13.10.2023 16:00 - 18:30, Mat2 Funktiot TZLM2300-3081
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
Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2021)
Oppimateriaali ja suositeltava kirjallisuus
Opintojakson kirjallinen materiaali sekä videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Itsenäinen opiskelu videoluentojen avulla, viikottainen verkko-ohjaus
Exam schedules
Kokeen ajankohdat julkaistaan oppimisympäristössä opintojakson alussa. Kokeen voi tehdä paikan päällä tai etänä.
Student workload
verkko-ohjaukset 9 h
Itsenäiset harjoitukset 32 h
Itsenäinen opiskelu, kokeeseen valmistautuminen sekä koe 40 h
Further information
Opintoijakso arvioidaan kurssin lopulla pidettävällä kokeella. Viikottaisista kotitehtävistä saa kokeeseen lisäpisteitä.
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.