|
|
Main menu for Browse IS/STAG
Course info
KMA / LAB
:
Course description
Department/Unit / Abbreviation
|
KMA
/
LAB
|
Academic Year
|
2023/2024
|
Academic Year
|
2023/2024
|
Title
|
Linear Algebra B
|
Form of course completion
|
Pre-Exam Credit
|
Form of course completion
|
Pre-Exam Credit
|
Accredited / Credits
|
Yes,
3
Cred.
|
Type of completion
|
-
|
Type of completion
|
-
|
Time requirements
|
Lecture
2
[Hours/Week]
Tutorial
1
[Hours/Week]
|
Course credit prior to examination
|
No
|
Course credit prior to examination
|
No
|
Automatic acceptance of credit before examination
|
No
|
Included in study average
|
NO
|
Language of instruction
|
Czech
|
Occ/max
|
|
|
|
Automatic acceptance of credit before examination
|
No
|
Summer semester
|
0 / -
|
0 / -
|
0 / -
|
Included in study average
|
NO
|
Winter semester
|
50 / -
|
0 / -
|
0 / -
|
Repeated registration
|
NO
|
Repeated registration
|
NO
|
Timetable
|
Yes
|
Semester taught
|
Winter semester
|
Semester taught
|
Winter semester
|
Minimum (B + C) students
|
1
|
Optional course |
Yes
|
Optional course
|
Yes
|
Language of instruction
|
Czech
|
Internship duration
|
0
|
No. of hours of on-premise lessons |
|
Evaluation scale |
S|N |
Periodicity |
každý rok
|
Periodicita upřesnění |
|
Fundamental theoretical course |
Yes
|
Fundamental course |
No
|
Fundamental theoretical course |
Yes
|
Evaluation scale |
S|N |
Substituted course
|
None
|
Preclusive courses
|
KMA/LA and KMA/LA-A and KMA/LAA
|
Prerequisite courses
|
N/A
|
Informally recommended courses
|
N/A
|
Courses depending on this Course
|
N/A
|
Histogram of students' grades over the years:
Graphic PNG
,
XLS
|
Course objectives:
|
The subject is dedicated to the study of basics of linear algebra.
|
Requirements on student
|
Credit:
test
|
Content
|
Week 1. Vectors and matrix.
Week 2. Systems of linear equations, homogeneous and non-homogeneous systems of equations.
Week 3. Rank of a matrix, determinant of a matrix.
Week 4. Vector space, linear dependence and independence.
Week 5. Basis and dimension of a vector space, coordinates of a vector relative to a basis.
Week 6. Linear map (transformation), kernel and image and their dimensions.
Week 7. Associated matrix of a linear map and its properties.
Week 8. Change of basis and change-of-basis matrix.
Week 9. Eigenvalues and eigenvectors of a matrix, similarity of matrices, Jordan normal form of a matrix.
Week 10. Inner product and its properties.
Week 11. Orthogonal basis for a space, the Gram-Schmidt process.
Week 12. Orthogonal projection of a vector on a subspace.
Week 13. Method of least squares.
|
Activities
|
|
Fields of study
|
Coursewarové stránky předmětu: https://portal.zcu.cz/portal/studium/courseware/kma/lab
|
Guarantors and lecturers
|
|
Literature
|
|
Time requirements
|
All forms of study
|
Activities
|
Time requirements for activity [h]
|
Preparation for comprehensive test (10-40)
|
39
|
Contact hours
|
39
|
Total
|
78
|
|
Prerequisites
|
Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
vymezit pojem polynomu |
vymezit pojem vektoru |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
vyřešit jednoduché soustavy rovnic
|
vyřešit kvadratickou rovnici |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
|
Learning outcomes
|
Knowledge - knowledge resulting from the course: |
vysvětlit pojem vektoru, matice, polynomu |
popsat pojem lineárního prostoru a lineárního zobrazení |
charakterizovat vlastní čísla a vlastní vektory |
Skills - skills resulting from the course: |
určit kořeny polynomu |
vypočítat determinant matice, matici inverzní a hodnost matice |
vyřešit soustavu algebraických rovnic |
určit vlastní čísla a vlastní vektory matice |
použít metodu nejmenších čtverců |
Competences - competences resulting from the course: |
N/A |
N/A |
|
Assessment methods
|
Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Competences - competence achieved by taking this course are verified by the following means: |
Test |
|
Teaching methods
|
Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Practicum |
Skills - the following training methods are used to achieve the required skills: |
Lecture |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Lecture |
Practicum |
|
|
|
|