Linear Algebra II
Informacje ogólne
Kod przedmiotu: | 0600-MS1-1AL2#a |
Kod Erasmus / ISCED: |
11.101
|
Nazwa przedmiotu: | Linear Algebra II |
Jednostka: | Wydział Matematyki i Informatyki |
Grupy: | |
Punkty ECTS i inne: |
(brak)
|
Język prowadzenia: | angielski |
Rodzaj przedmiotu: | obowiązkowe |
Wymagania (lista przedmiotów): | Linear Algebra I 0600-MS1-1AL1#a |
Skrócony opis: |
(tylko po angielsku) Course objectives: Continuation of the course in linear algebra to introduce students to more advanced areas such as the theory of vector spaces with inner product, orthogonalization, linear operators, eigenvalues and eigenvectors, diagonalization of matrices, Jordan canonical form, quadratic forms and their canonical forms, tensor product and inner product. The aim of the course is to provide tools for the study of theory of differential equations, classification objects of second degree, differential geometry, and functional analysis, as well as applications in physics and mechanics. |
Pełny opis: |
(tylko po angielsku) Course profile: academic Form of study: stationary Course type: obligatory Academic discipline: Mathematics, field of study in the arts and science: mathematics Year: 1, semester: 2 Prerequisities: Linear Algebra I lecture 30 h. exercise class 45 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 6 Balance of student workload: attending lectures15x2h = 30h attending exercise classes 15x3h = 45h preparation for classes 15x2h = 30h completing notes after exercises and lectures 7x3h = 21h consultations 5x2h = 10h the final examination: preparation.and take 12h + 6h = 18h Quantitative description Direct interaction with the teacher: 91 h., 3 ECTS Practical exercises: 106 h., 3 ECTS |
Efekty uczenia się: |
(tylko po angielsku) Learning outcomes: A student knows and understands basic concepts associated with a unitary structure.K_U16, K_U17, K_W02, K_W03, K_W04, K_W05 A student can introduce the matrix in the Jordan canonical form.K_U16, K_U20, K_U21 A student knows the basic concepts of multilinear algebra.K_W02, K_W03, K_W04, K_W05, K_U16 A student knows the classification of curves and surfaces of 2nd degree.K_U17 A student understands that modern technologies result from scientific discoveries, including discoveries in linear algebra.K_K08 |
Metody i kryteria oceniania: |
(tylko po angielsku) The overall form of credit for the course: final exam |
Właścicielem praw autorskich jest Uniwersytet w Białymstoku.