# MATH 236 Algebra 2

## 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 |
Winter 2013 |

## Tuesday, January 15, 2013Bases |
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## Thursday, January 17, 2013Dimension |
Winter 2013 |

## 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 |
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## 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 |
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## Tuesday, February 26, 2013Gram-Schmidt |
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## Thursday, February 28, 2013Midterm |
Winter 2013 |

## 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 |
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## HTSEFP |
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## Vocab list

Subject | Semester |
---|---|

## Proof strategies and definitions |
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## Course quiz

Subject | Semester |
---|---|

## Practice questions |
Winter 2013 |