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Algebra 2014/2015

## Algebra

 NEW Results (test, exam) You can see examination papers (first term) on January 28rd, 10:00-11:30, classroom 236, building G The second term of the exam will be on February 11th, 10:00-11:40, assembly hall A You can see examination papers (second term) on February 13rd, 17:00-18:00, assembly hall Główna Dół building G
 Lecture 1 (30.09) Lecture Class Sets, realtions, groups, fields, complex numbers
 Lecture 2 (07.10) Lecture Class Vector spaces and subspaces, Basis, dimension, coordinate systems (LECTURE AND CLASS AVAILABLE ONLY BY INTERNET)
 Lecture 3 (14.10) Lecture Class Linear mapping (LECTURE AND CLASS AVAILABLE ONLY BY INTERNET)
 Lecture 4 (21.10) Lecture Class Kernel and rank of a mapping, determinant
Lecture 5 (28.10) Lecture Class Eigenvalues
 Octave: matrix.m
 Octave: power_method.m
 Lecture 6 (04.11) Lecture Class Eigenvalues and eigenvectors
Lecture 7 (18.11) Summary
 Test 1 (Example 1)
 Test 1 (Example 1) - solutions
 Test 1 (Example 2)
 Lecture 8 (25.11) TEST (13:15-15:00, allowed: calculator, one A4 paper of handwritten notes)
 Lecture 9 (02.12) Lecture Class Jordan normal form
 Lecture 10 (09.12) Lecture Class Bilinear forms, inner product, norm, unitary space, orthogonal matrices, Gram-Schmidt procedure
 Lecture 11 (16.12) Lecture Class Orthogonal projection, properties
 Lecture 12 (13.01) Lecture Class Convex sets, convex functions, Jensen's inequality
Exam 26.01, godz. 15:00, classroom 103, building G allowed: calculator, two A4 papers of handwritten notes
 Exam (Example)
Contact: michal.bernardelli@sgh.waw.pl