Course - Calculus 4D - TMA4135
TMA4135 - Calculus 4D
About
Examination arrangement
Examination arrangement: Written examination
Grade:
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Written examination | 100/100 | 4 hours | C |
Course content
Partial derivatives. The Laplace transform with applications to solving ordinary differential equations and integral equations. Fourier series and the Fourier transform with applications to solving linear partial differential equations. Discrete Fourier transform. Numerical methods: Interpolation, differentiation, and integration. Methods for solving linear and non-linear equations. Runge-Kutta methods for solving systems of ordinary differential equations. Difference methods for solving partial differential equations. Introduction to computational tools with examples.
Learning outcome
1. Knowledge. The student is able to recognize, understand and apply concepts and methods from the theory of Fourier series, Fourier transformation, Laplace transformation, ordinary and partial differential equations and numerical solution of systems of equations and differential equations.
2. Skills. The student is able to apply his or her knowledge of Fourier theory, ordinary and partial differential equations and numerical methods to formulate and solve problems in mathematics and the natural sciences/technology, if necessary with the additional aid of mathematical software.
Learning methods and activities
Lectures and compulsory exercises. Grade based on written final examination. Retake of examination may be given as an oral examination. The lectures may be given in English.
Compulsory assignments
- Øvinger
Further on evaluation
see «Teaching methods and activities».
Recommended previous knowledge
The course is based on TMA4100/10/15 Calculus 1/3 or equivalent.
Course materials
Will be announced at the start of the semester.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MA2104 | 3.7 | ||
| SIF5017 | 7.5 | ||
| MA2105 | 3.7 | ||
| TMA4120 | 3.7 | ||
| TMA4122 | 7.5 | ||
| TMA4123 | 7.5 | ||
| TMA4125 | 7.5 | ||
| TMA4130 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Third-year courses, level III
Term no.: 1
Teaching semester: AUTUMN 2018
Language of instruction: English, Norwegian
Location: Trondheim
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Written examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD Written examination 100/100 C 2018-12-14 09:00
-
Room Building Number of candidates SL322 Sluppenvegen 14 0 SL120 Sluppenvegen 14 0 SL215 Sluppenvegen 14 0 SL274 Sluppenvegen 14 0 Storhall del 1 Idrettssenteret (Dragvoll) 0 - Summer UTS Written examination 100/100 C
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"