Terminated in academic year 2024/2025
Vector and Tensor Analysis
| Type of study | Doctoral |
|---|---|
| Language of instruction | English |
| Code | 310-4000/02 |
| Abbreviation | VeTeA |
| Course title | Vector and Tensor Analysis |
| Credits | 10 |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | prof. RNDr. Radek Kučera, Ph.D. |
Subject syllabus
1. Orthogonal transformation, Cartesian tensors, tensor algebra
2. Vector and tensor field, derivatives and differential operators
3. Curvilinear and surface integrals, integral theorems
4. Local and global characteristics of vector fields
5. Fundamentals of tensor apparatus in static theory of elasticity
6. Equations of dynamic theory of elasticity
7. Facultative themes: anisotropy of materials, thermoelasticity atc.
2. Vector and tensor field, derivatives and differential operators
3. Curvilinear and surface integrals, integral theorems
4. Local and global characteristics of vector fields
5. Fundamentals of tensor apparatus in static theory of elasticity
6. Equations of dynamic theory of elasticity
7. Facultative themes: anisotropy of materials, thermoelasticity atc.
E-learning
Literature
Akivis, M. A. - Goldberg, V.V.: An Introduction to Linear Algebra and Tensors. Dover Publications, N.Y. 1993
Advised literature
Maxum, B.: Field Mathematics for Electromagnetics, Photonics and Material Science. SPIE Press, Bellingham, USA, 2004