MATH 236 Algebra 2
Description
Linear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and eigenvalues. Diagonalizable operators. Cayley-Hamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric matrices. Canonical forms.
Credits
3.0
Mathematics & Statistics
Lecture notes
| Subject | Semester |
|---|---|
Monday, January 7, 2013Introduction to the course |
Winter 2013 |
Tuesday, January 8, 2013Complex numbers and vector spaces |
Winter 2013 |
Thursday, January 10, 2013Subspaces and direct sums |
Winter 2013 |
Monday, January 14, 2013Span and linear independence |
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Tuesday, January 15, 2013Bases |
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Thursday, January 17, 2013Dimension |
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Monday, January 21, 2013Introduction to linear maps |
Winter 2013 |
Tuesday, January 22, 2013Kernels and images |
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Thursday, January 24, 2013The matrix of a linear map |
Winter 2013 |
Tuesday, January 29, 2013Inverting linear maps |
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Thursday, January 31, 2013Linear operators and review |
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Monday, February 4, 2013A review of polynomials |
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Thursday, February 7, 2013Polynomials, introduction to eigenvalues |
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Monday, February 11, 2013Eigenvalues and eigenvectors |
Winter 2013 |
Tuesday, February 12, 2013Matrix representations of linear operators |
Winter 2013 |
Thursday, February 14, 2013Missed this lecture |
Winter 2013 |
Monday, February 18, 2013Missed this lecture too |
Winter 2013 |
Tuesday, February 19, 2013Proposition 5.2.1, review session |
Winter 2013 |
Thursday, February 21, 2013Introduction to inner product spaces |
Winter 2013 |
Monday, February 25, 2013Was not there |
Winter 2013 |
Tuesday, February 26, 2013Gram-Schmidt |
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Thursday, February 28, 2013Midterm |
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Monday, March 11, 2013Orthogonal projections and minimisation |
Winter 2013 |
Tuesday, March 12, 2013I slept in |
Winter 2013 |
Thursday, March 14, 2013Operators on inner product spaces |
Winter 2013 |
Summary
| Subject | Semester |
|---|---|
Midterm review |
Winter 2013 |
Review questions |
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Final review |
Winter 2013 |
HTSEFP |
Winter 2013 |
Vocab list
| Subject | Semester |
|---|---|
Proof strategies and definitions |
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Course quiz
| Subject | Semester |
|---|---|
Practice questions |
Winter 2013 |