•   Derivatives and Integrals TKV22MA04-3001 06.03.2023-30.04.2023  3 credits  (ÖH22ELA-LED-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
    Failed (0)
    Kraven för vitsordet 1 kunde inte uppfyllas (not translated)
    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)

    Ronnie Sundsten

    Learning material

    Allt material finns på Moodle och i eMath (not translated)

    Learning methods

    Undervisningen sker i form av undervisning i klass enligt schemat i PEPPI. (not translated)

    Objects, timing and methods of assessment

    Bedömningsgrunderna diskuteras och slås fast vid kursstart. För godkänd kurs krävs 1/3 av totalpoängen. (not translated)

    Teaching language

    Swedish

    Timing

    06.03.2023 - 30.04.2023

    Enrollment date range

    01.12.2022 - 05.03.2023

    Group(s)
    • ÖH22ELA-LED-V
    • ELA22D-V
    Responsible unit

    Faculty of Technology and Seafaring

    Small group(s)
    • Group A (Size: 30.
    • Group B (Size: 30.
    • Group C (Size: 30.
    Teachers and responsibilities

    Anders Skjäl

    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

    Assessment scale

    H-5

    Alternative methods of attainment for implementation

    Godkända tenter samt gjorda inlämningsuppgifter.
    Tentdatumen finns i Moodlekursen. (not translated)

    Exam dates and retake possibilities

    Presenteras vid kursstart , finns i Moodlekursen. (not translated)

    Timing and attendance

    Period 4, våren 20223 (not translated)

    Student's schedule and workload

    Undervisning i klass : minst 36 timmar
    Eget arbete : 45 timmar (not translated)

    Content scheduling

    Se lektionsplaneringen i Moodle (not translated)

    Assessment criteria
    Failed (0)

    Kraven för vitsordet 1 kunde inte uppfyllas (not translated)

    Assessment criteria – satisfactory (1-2)

    Grafisk förståelse av begreppet derivata.
    Behärskar enkla deriveringsregler.
    Kan tillämpa derivatakalkyl på enkla problem

    Grundläggande förståelse av begreppet integral.
    Behärskar enkla integreringsregler
    Kan tillämpa integralkalkyl på enkla problem.


    Har viss förståelse för hur man gör en matematisk modell och hur denna kan lösas numeriskt (not translated)

    Assessment criteria – good (3-4)

    Kan lösa extremvärdesproblem med hjälp av derivator

    Kan beräkna areor och volymer med hjälp av integraler. Kan lösa problem från fysiken med hjälpav integraler.

    Modellering och numeriska metoder
    Har god förståelse för hur man gör matematiska modeller och kan lösa dessa medberäkningsprogram (not translated)

    Assessment criteria – excellent (5)

    Kan tillämpa derivatakalkyler på mer komplicerade tillämpningar och beräkningar.

    Kan tillämpa integralkalkyler på mer komplicerade tillämpningar och beräkningar. ( Rotationsytor, båglängder )

    Modellering och numeriska metoder
    Kan konstruera och numeriskt lösa mer komplicerade modeller med beräkningsprogram (not translated)