Mat2 Funktiot (3 cr)
Code: TZLM2300-3072
General information
Enrollment
20.11.2023 - 04.01.2024
Timing
08.01.2024 - 23.02.2024
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Face-to-face, 33 % Online learning
Unit
Teknologiayksikkö
Campus
Lutakon kampus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Tieto- ja viestintätekniikka (AMK)
Teachers
- Sirpa Alestalo
Groups
-
TTV23S3Tieto- ja viestintätekniikka (AMK)
- 09.01.2024 14:15 - 16:30, Mat2 Funktiot TZLM2300-3072
- 10.01.2024 09:15 - 10:45, Mat2 Funktiot TZLM2300-3072
- 16.01.2024 14:15 - 16:30, Mat2 Funktiot TZLM2300-3072
- 17.01.2024 09:15 - 10:45, Mat2 Funktiot TZLM2300-3072
- 23.01.2024 14:15 - 16:30, Mat2 Funktiot TZLM2300-3072
- 24.01.2024 09:15 - 10:45, Mat2 Funktiot TZLM2300-3072
- 30.01.2024 14:15 - 16:30, Mat2 Funktiot TZLM2300-3072
- 31.01.2024 09:15 - 10:45, Mat2 Funktiot TZLM2300-3072
- 06.02.2024 14:15 - 16:30, Mat2 Funktiot TZLM2300-3072
- 07.02.2024 09:15 - 10:45, Mat2 Funktiot TZLM2300-3072
- 13.02.2024 14:15 - 16:30, Mat2 Funktiot TZLM2300-3072
- 14.02.2024 09:15 - 10:45, Mat2 Funktiot TZLM2300-3072
- 20.02.2024 14:15 - 16:30, Mat2 Funktiot TZLM2300-3072
- 21.02.2024 08:00 - 11:00, Mat2 Funktiot / vaihtoehtoinen koeaika
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 8.1. and 23.2.24
Oppimateriaali ja suositeltava kirjallisuus
Course material consists of written material and video material available in the e-learning environment.
Recommended literature:
- Alestalo, Lehtola, Nieminen, Rantakaulio - Tekninen matematiikka 1 (in Finnish)
- Henttonen, Peltomäki, Uusitalo - Tekniikan matematiikka 1 (in Finnish)
- Lehtola, Rantakaulio - Tekninen matematiikka 2 (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
Online course in Summer 2024
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
The course includes home assignments, intermediate tests, a pass examination and a grade examination. It is possible to pass the course with grade 1 by taking the pass examination (75 % correct) based on fundamentals studied in the course. A higher grade requires participation in the grade examination. To be able to participate in the pass examination and grade examination, the compulsory parts (home assignments and intermediate tests) must be completed acceptably.
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.