•   Derivatives and Integrals TKV22MA04-3013 03.03.2025-04.05.2025  3 credits  (PRE24D-V) +-
    Competence objectives of the study unit
    The student understands how, where and when to use the two basic concepts in mathematical analysis: derivation and integration.
    The student can apply derivation and integration to various problems within their own field of study.
    The student can use mathematical software to analyze measured data ​​or other collected data sets.
    Prerequisites
    Functions and equations 1,
    Geometry and vectors,
    Functions and equations 2.
    Content of the study unit
    - Limit calculations
    - Definition of derivatives
    - Tangent and linearisation
    - Derivation rules
    - Extreme value problems
    - Second derivative and convexity
    - Applications of derivatives in different fields
    - Numerical derivation
    - Primitive function (antiderivative)
    - Definition of integrals
    - Integration rules
    - Area calculations, volume integrals
    - Integral applications from own specialist area
    - Numerical integration
    - Mathematical software (Mathcad, Matlab, GeoGebra or equivalent) as a tool for solving problems
    Assessment criteria
    Assessment criteria – satisfactory (1-2)
    Derivatives: Basic understanding of the concept of derivatives. Master simple derivation rules.
    Integrals: Basic understanding of the integral concept. Master simple integration rules.
    Modeling and numerical methods: Have some understanding of how to make a mathematical model and how it can be solved numerically.
    Assessment criteria – good (3-4)
    Derivatives: Is able to solve common types of extreme value problems using derivatives
    Integrals: Is able to calculate areas and volumes using integrals. Is able to solve mechanical problems using integrals.
    Modeling and numerical methods: Understands how to make a mathematical model and how it can be solved numerically.
    Assessment criteria – excellent (5)
    Derivatives: Can apply theory to more complicated applications and calculations.
    Integrals: Can apply the theory to more complicated applications and calculations (rotational surfaces, arc lengths, etc.).
    Modeling and numerical methods: Can construct and numerically solve more complicated models with calculation software.
    Name of lecturer(s)

    Niklas Kallenberg

    Teaching language

    Swedish

    Timing

    03.03.2025 - 04.05.2025

    Enrollment date range

    01.12.2024 - 02.03.2025

    Group(s)
    • PRE24D-V
    Responsible unit

    Faculty of Technology and Seafaring

    Small group(s)
    • PRE24-S (Size: 40.
    • PRE24-Y (Size: 40.
    Teachers and responsibilities

    Ing-Britt Rögård, Lina Åberg

    Degree Programme(s)

    Degree Programme in Civil and Construction Engineering, Degree Programme in Mechanical and Production Engineering, Degree Programme in Electrical Engineering and Automation, Degree Programme in Industrial Management, Degree Programme in Land Surveying

    Campus

    Vasa, Wolffskavägen 33

    RDI share

    0.00 credits

    Share of online studies

    0.00 credits

    Assessment scale

    H-5