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Department:

MATH

Course Number:

1554

Hours - Lecture:

3

Hours - Lab:

0

Hours - Recitation:

2

Hours - Total Credit:

4

Typical Scheduling:

Every Semester

Linear algebra through eigenvalues, eigenvectors, applications to linear systems, least squares, diagonalization, quadratic forms.

Prerequisites:

Course Text:

*Linear Algebra and Its Applications*, 5th Edition, by David C. Lay.

Flow chart describing textbook choices for Fall 2019.

Topic Outline:

Topic | Text Sections | Lectures |
---|---|---|

Solving systems of linear equations | 1.1-1.2 | 2 |

Vectors, geometry of R^n, and solution sets | 1.3-1.5 | 3 |

Linear independence and linear transformations | 1.7-1.9 | 3 |

Matrix operation and matrix inverses | 2.1-2.3 | 3 |

LU factorization | 2.5 | 1 |

Leontief model | 2.6 | 1 |

Applications to computer graphics | 2.7 | 1 |

Subspaces, bases, dimension, rank | 2.8-2.9 | 3 |

Determinants | 3.1-3.3 | 3 |

Markov chains | 4.9 | 1 |

Eigenvalues, eigenvectors, and diagonalization | 5.1-5.3 | 4 |

Google PageRank | Notes | 1 |

Complex eigenvalues and eigenvectors | 5.5 | 2 |

Inner products and orthogonality | 6.1-6.3 | 4 |

Gram–Schmidt and QR | 6.3-6.4 | 3 |

Least squares | 6.5-6.6 | 1 |

Diagonalization and symmetric matrices | 7.1 | 2 |

Quadratic forms and constrained optimization | 7.2-7.3 | 2 |

Singular value decomposition | 7.4 | 2 |