Derivatives and Integrals (3 cr)
Code: TKV22MA04-3018
General information
Enrollment
01.12.2024 - 09.03.2025
Timing
03.03.2025 - 04.05.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Campus
Vasa, Wolffskavägen 33
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
- Degree Programme in Land Surveying
Teachers
- Ing-Britt Rögård
- Sofia Frilund
Teacher in charge
Kaj Rintanen
Scheduling groups
- MAP24-Y (Size: 40. Open UAS: 0.)
- MAP24-S (Size: 40. Open UAS: 0.)
Groups
-
MAP24D-VIngenjör (YH), maskin- och produktionsteknik, 2024 dagstudier
Small groups
- MAP24-Y
- MAP24-S
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, satisfactory (1)
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)
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.
Qualifications
Functions and equations 1,
Geometry and vectors,
Functions and equations 2.