•   Differential calculus 5031283-3015 01.09.2022-31.12.2022  5 credits  (PKONTK22A, ...) +-
    Competence objectives of study unit
    After completing the course the student:
    - operate with mathematical expressions related to technology
    - to formulate mathematical model
    - understand the concept of a function and recognizes the characteristic properties of different functions
    - solve equations involving functions and apply them in practical problems
    - use derivatives to analyse graphs
    - use differentials to approximate changes and errors
    - use matrices and determinants (e.g. for solving linear simultaneous equations),
    - use dot and cross products in applications
    - give the answer in an expected form
    Content of study unit
    Topics covered in course are (in the order shown):

    * functions and graphs

    * Pythagoras’ theorem and trigonometric functions

    * line and slope

    * exponential and logarithmic functions

    * function composition

    * continuity and limit of a function

    * definition of the derivative

    * derivatives of basic functions

    * derivative rules

    * derivative of the composition of functions (chain rule)

    * product rule and quotient rule

    * tangent and differential

    * critical points and extreme values

    * finding extreme values by examination of critical points

    * functions of several variables

    * partial derivatives

    * differentials and error estimates

    * total differential

    Teacher(s) in charge

    Riku Mattila

    Teaching language

    Finnish

    Timing

    01.09.2022 - 31.12.2022

    Enrollment date range

    02.08.2022 - 15.10.2022

    Group(s)
    • PKONTK22A
    • PKONTK22B
    • PKONTK22
    Responsible unit

    Engineering and Business

    Degree Programme(s)

    Degree Programme in Mechanical Engineering

    Campus

    Kupittaa Campus

    Assessment scale

    H-5