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Mathematical Concepts in Geophysics
Last Updated: 2026-02-05 16:16:19
Abstract
The course guides students in learning the mathematical machinery used to solve various physical problems. Special attention is paid to the analytical methods to solve partial differential equations describing physical processes such as heat transfer, electromagnetic induction, wave propagation, among others.
Objective
The goal of this course is to refresh and deepen students’ knowledge of mathematical methods relevant to the problems arising in solid Earth physics.
Content
The provisional subjects covered in this course are as follows: (i) Vectors, tensors, matrices, eigenvalue problems (ii) Single-variable calculus (iii) Vector calculus (iv) Fourier analysis (v) Partial Differential Equations (iv) Special functions Note: the actual content of the course may have slight deviations from the stated list.
Resources
Lecture Notes
Current lecture notes and homeworks will be found during the course on the course Moodle page.
Literature
1. E. Kreyszig, "Advanced engineering mathematics" 2. M. Boas, "Mathematical methods in the physical sciences" 3. K. F. Riley, M. P. Hobson, S. J. Bence, "Mathematical methods for physics and engineering" 4. R. Snieder, "A guided tour of mathematical methods for the physical sciences"
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- end-of-semester examination
- Mode
- written 150 minutes
- Aids
- None
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Mathematical Concepts in Geophysics |
|
3 h weekly |