MA-178 Mathematics 1
- ECTS Credits:
- 7.5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Vegard Lima
- Lecture Semester:
- Autumn
- Duration:
- 1 term
The course is connected to the following study programs
- Civil and Structural Engineering, Bachelor's Programme
- Computer Engineering, Bachelor's Programmme
- Electronics and Electrical Engineering, Bachelor's Programme
- Renewable Energy, Bachelor's Programme
- Mechatronics, Bachelor's Programme
- Artificial Intelligence, 5-year master programme
Course contents
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Introduction to basic differential and integral calculus.
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Functions, continuity and differentiability.
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Derivatives and applications of derivatives.
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Integration, integration methods and applications of integration.
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Taylor polynomials with remainder and Taylor series.
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Complex numbers.
Learning outcomes
On successful completion of this course the student should
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be familiar with applications of mathematics in engineering
-
know and be able to use terms, results and methods related to functions of one variable, such as limits, continuity, differentiation, integration and differential equations
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know the Taylor series of core functions, and know that these can be differentiated and integrated
-
know complex numbers in rectangular and polar form and know Euler’s formula
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be able to solve problems using analytical methods
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know and be able to use numerical methods to solve equations, integrals and differential equations
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be able to use software tools for simple numerical calculations and be familar with some limitations in applications of mathematical software
Examination requirements
A sufficient number of approved mandatory exercises. Information about the mandatory exercises will given in Canvas at the start of the semester.
Teaching methods
Lectures, tutorial groups for exercises, mandatory assignments. Information on exercises will be provided in Canvas.
Assessment methods and criteria
Individual written exam, 4 hours. Graded A-F.
Reduction of Credits
This course’s contents overlap with the following courses. A reduction of credits will occur if one of these courses is taken in addition:
| Course | Reduction of Credits |
|---|---|
| MA-169 – Mathematics 1 - Electrical Engineering | 7.5 |
| MA-154 – Mathematics 1 | 7.5 |