Math2 Functions (3 cr)
Code: TZLM2300-3052
General information
- Timing
-
09.01.2023 - 24.02.2023
Implementation has ended.
- Number of ECTS credits allocated
- 3 cr
- Local portion
- 0 cr
- Virtual portion
- 3 cr
- Mode of delivery
- Online learning
- Unit
- School of Technology
- Teaching languages
- Finnish
- Seats
- 0 - 70
- Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
- Teachers
- Ville Arvio
- Course
- TZLM2300
Evaluation scale
0-5
Content scheduling
The course timetable is agreed on at the beginning of the course and then published in the e-learning environment.
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
In this course, you will expand your range of mathematical tools by learning about the concept of functions and the use of different types of functions to model engineering phenomena. You will understand the concept of a function, identify different types of functions and their properties. You will learn how to use equations to consider functions and how to use different types of functions to model simple engineering phenomena. This course will give you a strong basis for applying mathematical methods in engineering.
- 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 9.1.2023 and 24.2.2023.
Materials
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 course timetable is agreed on at the beginning of the course and then published in the e-learning environment.
Completion alternatives
Mahdollisuus tenttiä kurssikokeella opintojakson alussa.
Student workload
The estimated total workload is 81 hours, which is divided by approximately 20% to contact teaching and 80% for independent work.
Assessment criteria, satisfactory (1)
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.
Assessment criteria, good (3)
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
Opintojaksoon liittyy kotitehtäviä, läpäisytestejä ja koe. Opintojakso on mahdollista suorittaa arvosanalla 1 tekemällä hyväksytysti (75 % oikein) perusasioihin liittyvät läpäisytestit. Korkeampi arvosana edellyttää kokeeseen osallistumista. Jotta kokeeseen voi osallistua, täytyy läpäisytestit olla suoritettu hyväksytysti.