• Math2 Functions (TZLM2300-3057),
         09.01.2023 – 19.05.2023,  3 cr  (LOGRAKVERKKO) — Online learning +-
    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

    Finnish

    Location and time

    The course is implemented 9.1.2023 - 19.5.2023.

    Planned learning activities, teaching methods and guidance

    Independent studying with videos, written learning material and exercises.

    Lecturer(s)

    Antti Kosonen

    Learning materials and recommended literature

    Videos and written material in e-learning environment Moodle.

    Recommended literature (in Finnish):
    - Alestalo, Lehtola, Nieminen, Rantakaulio: Tekninen matematiikka 1
    - Henttonen, Oinonen, Uusitalo: Tekniikan matematiikka 1

    Lecturer(s)

    Antti Kosonen

    Campus

    Main Campus

    Exam dates and re-exam possibilities

    Possible dates for exam / resit:
    - 18.1.2023
    - 8.2.2023
    - 22.3.2023
    - 12.4.2023
    - 17.5.2023
    - 31.5.2023

    Timing

    09.01.2023 - 19.05.2023

    Learning assignments and student workload

    Calculatory workload:
    27 h/op * 3op = 81 h

    Of this approximately
    - 32 h of studying the material
    - 45 h of exercises
    - 4 h for exams.

    Enrollment

    01.11.2022 - 05.01.2023

    Content scheduling

    A detailed schedule will be available in the e-learning environment when the course starts.

    Groups
    • LOGRAKVERKKO
    Alternative learning methods

    Face-to-face or hybrid implementation in spring. Online course in spring or in summer 2023.

    Seats

    0 - 5

    Assessment methods

    Summative assessment is based on a two-part final exam in which you can participate at Rajakatu campus or online.

    Degree Programme

    Bachelor's Degree Programme in Logistics, Bachelor's Degree Programme in Construction and Civil Engineering

    Mode of delivery

    Online learning

    Share of virtual studies

    3 cr

    Credits
    • 3 cr
    Unit

    School of Technology