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Department:

MATH

Course Number:

1553

Hours - Lecture:

2

Hours - Lab:

0

Hours - Recitation:

1

Hours - Total Credit:

2

Typical Scheduling:

Every Semester

An introduction to linear algebra through eigenvalues and eigenvectors, applications to linear systems, least squares.

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 | 3 |

Vectors, geometry of Rn, solution sets | 1.3-1.5 | 4 |

Linear independence and linear transformations | 1.7-1.9 | 2 |

Matrix operations and matrix inverses | 2.1-2.3 | 2 |

LU factorization | 2.5 | 2 |

Subspaces, bases, dimension, rank | 2.8-2.9 | 2 |

Determinants | 3.1-3.2 | 2 |

Vector spaces | 4.3 | 1 |

Eigenvalues and eigenvectors | 5.1-5.3 | 3 |

Diagonalization of symmetric matrices | 7.1-7.2 | 2 |

Inner products and orthogonality | 6.1-6.3 | 3 |

Gram–Schmidt and QR decomposition | 6.3-6.4 | 3 |

Method of least squares | 6.5 | 1 |