•   Geometry and Vectors TKV22MA02-3019 19.02.2025-12.03.2025  3 credits  (ÖH24FLEXING) +-
    Competence objectives of the study unit
    The student :
    - is able to solve every kind of triangle ( both right angled triangles and others )
    - is able to calculate areas and volumes of figures and solids
    - is able to perform calculations with two-dimensional vectors and three-dimensional vectors.
    - is familiar with matrices and masters simply calculations with matrices
    Prerequisites
    No prerequisites
    Content of the study unit
    - Right angled triangles
    - Basic trigonometric functions (cosine, sine and tangent)
    - Angle units (degrees vs radians)
    - The sine and cosine formula
    - Uniformity and scales
    - Area- and volume caculations
    - Definition of the vector concept
    - Rules for vector operations
    - Dot product
    - Projections
    - Cross product
    - Introduction to matrices
    - MatchCad exercises

    Application according to specific education may occur.
    Assessment criteria
    Assessment criteria – satisfactory (1-2)
    Trigonometry: Master the trigonometry of right angled triangles
    Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
    Vectors: Can perform calculations with two-dimensional vectors
    Matrices: Knows matrices and can perform simple calculations with them
    Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.
    Assessment criteria – good (3-4)
    Trigonometry: Master the trigonometry of any triangle
    Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
    Vectors: Can do basic calculations with three-dimensional vectors
    Matrices: Is able to calculate the value of a determinant
    Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.
    Assessment criteria – excellent (5)
    Trigonometry: Can apply the theory for solving more complicated problems
    Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
    Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
    Matrices: Master the use of matrices in software programs
    Models and problem solving: Can apply mathematical models to technical problems.
    Name of lecturer(s)

    Matts Nickull

    Teaching language

    Swedish

    Timing

    19.02.2025 - 12.03.2025

    Enrollment date range

    15.06.2024 - 16.03.2025

    Group(s)
    • ÖH24FLEXING
    Responsible unit

    Faculty of Technology and Seafaring

    Teachers and responsibilities

    Sofia Frilund

    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

    RDI share

    0.00 credits

    Share of online studies

    0.00 credits

    Assessment scale

    H-5