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Derivatives and Integrals (3 cr)

Code: TKV18MA04-3015

General information

Enrollment

15.11.2021 - 20.03.2022

Timing

07.03.2022 - 01.05.2022

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology and Seafaring

Teaching languages

  • Svenska

Degree programmes

  • 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

Teachers

  • Ing-Britt Rögård
  • Sofia Frilund

Teacher in charge

Kaj Rintanen

Scheduling groups

  • Group A (MAP) (Size: 35. Open UAS: 0.)
  • Group B (MAP & PRE) (Size: 35. Open UAS: 0.)
  • Group C (PRE) (Size: 35. Open UAS: 0.)

Groups

  • ÖH21PRELED-V
    Öppna YH, IngProduktionsekonomiLed, Vasa
  • ÖH21MAPLED-V
    Öppna YH, IngMaskinoprodLED, Vasa
  • MAP21D-V
    Ingenjör (YH), maskin- och produktionsteknik, 2021 dagstudier
  • PRE21D-V
    Ingenjör (YH), produktionsekonomi, 2021 dagstudier

Small groups

  • Group A (MAP)
  • Group B (MAP & PRE)
  • Group C (PRE)

Objective

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.

Content

- 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

Evaluation scale

H-5

Assessment criteria, good (3)

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, 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.

Qualifications

Functions and equations 1,
Geometry and vectors,
Functions and equations 2.