SylabUZ
Nazwa przedmiotu | Algebra liniowa 2 |
Kod przedmiotu | 11.1-WK-IiEP-AL2-Ć-S14_pNadGenBT2V3 |
Wydział | Wydział Matematyki, Informatyki i Ekonometrii |
Kierunek | Computer science and econometrics |
Profil | ogólnoakademicki |
Rodzaj studiów | pierwszego stopnia z tyt. licencjata |
Semestr rozpoczęcia | semestr zimowy 2019/2020 |
Semestr | 2 |
Liczba punktów ECTS do zdobycia | 5 |
Typ przedmiotu | obowiązkowy |
Język nauczania | polski |
Sylabus opracował |
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Forma zajęć | Liczba godzin w semestrze (stacjonarne) | Liczba godzin w tygodniu (stacjonarne) | Liczba godzin w semestrze (niestacjonarne) | Liczba godzin w tygodniu (niestacjonarne) | Forma zaliczenia |
Ćwiczenia | 30 | 2 | - | - | Zaliczenie na ocenę |
Wykład | 30 | 2 | - | - | Egzamin |
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.
Opis efektu | Symbole efektów | Metody weryfikacji | Forma zajęć |
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.
Zmodyfikowane przez dr Alina Szelecka (ostatnia modyfikacja: 21-11-2020 06:10)