Linear Algebra II
General data
Course ID:  0600MS11AL2#a  Erasmus code / ISCED:  11.101 / (0541) Mathematics 
Course title:  Linear Algebra II  Name in Polish:  Linear Algebra II 
Department:  Faculty of Mathematics and Informatics  
Course groups: 
(in Polish) 3L stac. I st. studia matematyki  przedmioty obowiązkowe 

ECTS credit allocation (and other scores): 
6.00 view allocation of credits 

Language:  English  
Type of course:  obligatory courses 

Requirements:  Linear Algebra I 0600MS11AL1#a 

Short description: 
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. 

Full description: 
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 

Learning outcomes: 
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 

Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
Classes in period "Academic year 2018/2019" (in progress)
Time span:  20181001  20190630 
see course schedule 
Type of class: 
Class, 45 hours more information Lecture, 30 hours more information 

Coordinators:  Jarosław Kotowicz  
Group instructors:  (unknown)  
Students list:  (inaccessible to you)  
Examination:  Examination 
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