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Algebra 2016/2017

## Algebra

 Lecture 1 (05.10) Lecture Class Sets, realtions, groups, fields, complex numbers
 Lecture 2 (12.10) Lecture Class Vector spaces and subspaces, basis, dimension, coordinate systems
 Lecture 3 (19.10) Lecture Class Linear mapping and a matrix of a linear mapping
 Lecture 4 (26.10) Lecture Class Kernel and rank of a mapping, determinant (LECTURE AND CLASS AVAILABLE ONLY BY INTERNET)
Lecture 5 (02.11) Lecture Class Eigenvalues
(LECTURE AND CLASS AVAILABLE ONLY BY INTERNET)
 Octave: matrix.m
 Octave: power_method.m
Lecture 6 (09.11) Lecture Class Eigenvalues
LECTURE CANCELED, CLASSES AS SCHEDULED
 Test 1 (Example 1)
 Test 1 (Example 1) - solutions
 Test 1 (Example 2)
 Lecture 7 (16.11) Summary
 Lecture 8 (23.11) LECTURE - questions by e-mail,TEST (15:00-16:40, allowed: calculator, one A4 paper of handwritten notes)
 Lecture 9 (30.11) Lecture Class Eigenvalues and eigenvectors, Jordan normal form
 Lecture 10 (07.12) Lecture Class Bilinear forms, inner product
 Lecture 11 (14.12) Lecture Class Norm, unitary space, orthogonal matrices, Gram-Schmidt procedure
 Lecture 12 (04.01) Lecture Class Orthogonal projection, properties
 Lecture 13 (11.01) Lecture Class Convex sets, convex functions, Jensen's inequality
 Lecture 14 (18.01) Lecture Class Summary
Exam 24.01, 11:40, A-9 allowed: calculator, two A4 papers of handwritten notes
office hours: 23.01 from 17:20 in S building (computer labs)
 Exam (Example)
Contact: michal.bernardelli@sgh.waw.pl