**General Info:**

- Time: Mo We 5:30PM--6:45PM
- Classroom: SBS B137
- CRN: 41817

**Prerequisites**: MAT
271 with grade C or better.

**Syllabus**: Linear
equations, vector spaces, matrices, linear transformations, determinants,
eigenspace, linear and quadratic forms.

**Textbook and References**:

- The lectures will loosely follow my notes.
- Peter J. Cameron's Note on Linear Algebra available at his blog.
- Jim Hefferon's Linear Algebra available at this page.

**Course Management**:
BlackBoard

**HW:** Homework (5 pts extra
credits) are given on Webwork

**Test:**

- Test 1 (25 pts) (9/18)
- Test 2 (25 pts) (10/16)
- Test 3 (25 pts) (11/13)
- Final Exam (25 pts+5 extra credits), accumulative, (Dec 13) 11:30pm--1:30pm.

**Grading Scheme**:

A | A- | B+ | B | B- |

100--93 | 92--89 | 88--84 | 83--79 | 78--74 |

C+ | C | C- | D+ | D |

73--69 | 68--64 | 63--59 | 58--54 | 53--50 |

**Schedule Outline**:

**Tentative Schedule**

08-21 | Linear Systems | 08-23 | Gauss-Jordan Elimination |
---|---|---|---|

08-28 | Gauss-Jordan Elimination | 08-30 | Vector Spaces |

09-04 | Vector Spaces | 09-06 | Linear Dependence |

09-11 | Linear Dependence | 09-13 | Review |

09-18 | Test 1 | 09-20 | Determinant |

09-25 | Determinant | 09-27 | Linear Maps |

10-02 | Linear Maps | 10-04 | Matrix Representation |

10-09 | Matrix Representation | 10-11 | Equivalence |

10-16 | Test 2 | 10-18 | Similarity |

10-23 | Diagonalization | 10-25 | Diagonalization |

10-30 | Minimal Polynomial | 11-01 | Minimal Polynomial |

11-06 | Linear Forms | 11-08 | Linear Forms |

11-13 | Test 3 | 11-15 | Quadratic and Bilinear Forms |

11-20 | Inner Product | 11-22 | Orthognality |

11-27 | Orthogonality | 11-29 | The Spectral Theorem |

12-04 | The Spectral Theorem |

**Learning Outcomes**: Please
refer to this
Expected Outcomes section.

**Other Policies**: For
policies on academic integrity, accommodation for students with
disabilities, due dates and make-up work and various other topics,
please consult this page .