Linear Algebra 1
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
01LAL | Z | 2 | 2P+2C | Czech |
- Garant předmětu:
- Lubomíra Dvořáková
- Lecturer:
- Lubomíra Dvořáková
- Tutor:
- Petr Ambrož, Marek Dědič, Lubomíra Dvořáková, Miroslav Kolář, Václav Košík, David Kramár, David Krejčiřík, Romana Kvasničková, Martin Malachov, Jiří Mikyška, Rudolf Šmolka
- Supervisor:
- Department of Mathematics
- Synopsis:
-
1. Vector space.
2. Linear dependence and independence.
3. Basis and dimension.
4. Subspaces of vector spaces.
5. Linear mappings.
6. Matrices of linear mappings.
7. Frobenius theorem.
- Requirements:
-
Just basic highschool mathematics knowledge is demanded.
- Syllabus of lectures:
-
1. Vector space
2. Linear (in)dependance
3. Basis and dimension
4. Subspace
5. Linear mapping
6. Matrix of linear mapping
7. Frobenius theorem
- Syllabus of tutorials:
-
1. Vector space / examples
2. Linear dependence and independence.
3. Calculation of vector-space dimension.
4. Subspaces of vector spaces and spans.
5. Linear mappings and matrix composition. Mapping operations.
7. Solution of linear algebraic equation systems.
- Study Objective:
- Study materials:
-
Key references:
[1] L. Dvořáková: Linear algebra 1, textbook, accessible online on demand
[2] T. M. Apostol: Linear Algebra: A First Course with Applications to Differential Equations, John Wiley & Sons, 2014
[3] R. C. Penney: Linear algebra and applications, John Wiley &Sons, 2015
Recommended references:
[3] G. Strang: Introduction to Linear Algebra, Wesley – Cambridge Press, 2016
- Note:
- Time-table for winter semester 2022/2023:
- Time-table is not available yet
- Time-table for summer semester 2022/2023:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- BS Matematické inženýrství - Matematické modelování (compulsory course of the specialization)
- BS Matematické inženýrství - Matematická fyzika (compulsory course of the specialization)
- BS Matematické inženýrství - Aplikované matematicko-stochastické metody (compulsory elective course)
- BS Matematická informatika (compulsory course of the specialization)
- BS Informatická fyzika (compulsory elective course)
- BS Aplikace softwarového inženýrství (compulsory course of the specialization)
- BS jaderné inženýrství B (compulsory course of the specialization)
- BS Dozimetrie a aplikace ionizujícího záření (compulsory elective course)
- BS Experimentální jaderná a částicová fyzika (compulsory elective course)
- BS Inženýrství pevných látek (compulsory elective course)
- BS Diagnostika materiálů (compulsory elective course)
- BS Fyzika a technika termojaderné fúze (compulsory elective course)
- BS Fyzikální elektronika (compulsory elective course)
- Bc Laser Technology and Instrumentation (compulsory course of the specialization)
- Applications of Informatics in Natural Sciences (compulsory course in the program)