• Math2 Functions (TZLM2300-3063),
         01.01.2023 – 21.05.2023,  3 cr  (TAR22S1) — Face-to-face +-
    Learning outcomes of the course
    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.
    Prerequisites and co-requisites
    You are able to simplify polynomial and rational expressions. You understand the notion of an equation and common principles to solve equations.
    Course contents
    - 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
    Assessment criteria
    Assessment criteria - grade 1 and 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.
    Assessment criteria - grade 3 and 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 - grade 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.
    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.
    Language of instruction

    English

    Planned learning activities, teaching methods and guidance

    Weekly lessons and weekly homework exercise, independent studying from theory material (literal and videos), exams.

    Lecturer(s)

    Ida Arhosalo

    Learning materials and recommended literature

    Free openly licensed textbooks will be used. Links will be shared in the learning environment Moodle.

    Lecturer(s)

    Kalle Niemi

    Campus

    Main Campus

    Exam dates and re-exam possibilities

    Times of the exams will be given in the first lesson of the course.

    Internationality

    approx. 30 h for lessons and exams
    approx. 20h independent studying of theory
    approx. 30h independent studying of exercises

    Timing

    01.01.2023 - 21.05.2023

    Enrollment

    21.11.2022 - 05.01.2023

    Groups
    • TAR22S1
    Degree Programme

    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 Information and Communications Technology, Bachelor's Degree Programme in Purchasing and Logistics Engineering

    Mode of delivery

    Face-to-face

    Credits
    • 3 cr
    Unit

    School of Technology