SylabUZ
| Course name | Linear Algebra 2 |
| Course ID | 11.1-WK-IiEP-AL2-Ć-S14_pNadGenBT2V3 |
| Faculty | Faculty of Exact and Natural Sciences |
| Field of study | computer science and econometrics |
| Education profile | academic |
| Level of studies | First-cycle studies leading to Bachelor's degree |
| Beginning semester | winter term 2019/2020 |
| Semester | 2 |
| ECTS credits to win | 5 |
| Course type | obligatory |
| Teaching language | polish |
| Author of syllabus |
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| The class form | Hours per semester (full-time) | Hours per week (full-time) | Hours per semester (part-time) | Hours per week (part-time) | Form of assignment |
| Class | 30 | 2 | - | - | Credit with grade |
| Lecture | 30 | 2 | - | - | Exam |
The aim of the course is to acquaint the student with the basic of linear algebra.
Linear algebra 1
Lecture
1. Linear spaces: subspaces, spanning sets, linear combination of vectors, linear dependence and independence of vectors, basis and dimension of space, Steinitz theorem. (7 hours)
2. Linear transformations, the kernel and image of a linear transformation, matrices of linear transformations with respect to arbitrary bases. (6 hours)
3. Euclidean space: orthogonality, orthonormal basis. (4 hours)
4. Invariant subspaces, eigenvalues and eigenvectors of linear transformation. (7 hours)
5. Linear and quadratic forms, canonical form of a quadratic form, definiteness and classification of quadratic forms. (6 hours)
Exercise
1. Linear spaces: subspaces, linear dependence and independence of vectors, basis and dimension of space. (6 hours)
2. Linear transformations, the kernel and image of a linear transformation, matrices of linear transformations with respect to arbitrary bases. (6 hours)
3. Euclidean space: orthogonality, Gram-Schmidt orthogonalization, orthonormal basis. (4 hours)
4. Invariant subspaces, eigenvalues and eigenvectors of linear transformations. (6 hours)
5. Linear and quadratic forms, the canonical form of the square form, definiteness and classification of quadratic forms. (4 hours)
Traditional lecturing, solving problems under the supervision of the instructor.
| Outcome description | Outcome symbols | Methods of verification | The class form |
In order to be allowed to take the exam a student has to have a positive class grade and active participation in classes.
In order to pass the exam a student has to have a positive exam grade.
The final grade is an arithmetic average of the class grade and the exam grade.
1. Robert A. Beezer, A First Course in Linear Algebra.
2. Thomas W. Judson, Abstract Algebra:Theory and Applications.
3. Jim Hefferon, Linear Algebra.
1. Serge Lang, Linear Algebra, Undergraduate Texts in Mathematics, 1987.
2. Serge lang, Introduction to Linear Algebra, Undergraduate Texts in Mathematics, 1986.
Modified by dr Alina Szelecka (last modification: 21-11-2020 06:10)
