# LINEAR ALGEBRA

**Text:** Linear Algebra and Its Applications, 3rd
edition, David Lay

**Tentative Schedule:**

Week |
M |
W |
Sections |
Description |

1 2 3 4 5 |
09/10 09/17 09/24 10/01 |
09/05 09/12 09/19 09/26 10/03 |
1.1 - 1.2 1.3 - 1.6 1.7 - 1.9 2.1 - 2.4 2.5 - 2.8 |
Solving linear equations , row reduction Vector equations , matrix equations, solution sets Linear independence , linear transformations Matrices, inverses Matrix factorization , iterative solutions, input-output model |

6 7 8 9 10 |
10/15 10/22 10/29 11/05 |
10/10 10/17 10/24 10/31 11/07 |
3.1-3.2 3.3 4.1-4.2 4.3-4.6 4.7-5.2 |
Determinants Determinants, review Midterm Oct. 22, vector spaces, subspaces Bases, coordinate systems , dimension, rank Change of basis , difference equations, Markov chains, eigenvectors, eigenvalues |

11 12 13 |
11/12 11/19 11/26 |
11/14 11/21 11/28 |
5.3-5.5 5.6-6.2 6.3-6.6 |
Diagonalization, linear transformations Applications of eigenvalues, inner products Orthogonal projections, Gram-Schmidt, least squares , applications |

14 | 12/03 | 12/05 | 6.7-7.2 | Inner products and applications , symmetric
matrices, quadratic forms |

15 16 |
12/10 |
12/12 12/19 |
7.3-7.4 |
Quadratic forms , singular value decomposition ,
review Final Dec. 19 12:00-1:50 PM |

**Coursework and Grading**

**Homework
**Homework will be assigned every Monday, due the following Monday at the
beginning of

class. No late homework will be accepted. The lowest grade will be dropped. The homework

assignments will be given in class and will be posted on the course website as well. You must

show your work to get full credit (a correct answer is not enough).

**Quizzes
**There will be four quizzes during the semester. The dates of the quizzes
will be announced

in class and posted on the website beforehand. The quizzes will cover recent material and

homeworks. If you are keeping up with the class they will not be difficult. The lowest grade

will be dropped.

**Midterm and Final
**The midterm is tentatively scheduled for Oct 22 and the final for Dec 19
(12:00-1:50 PM).

These dates may be changed and will be announced in class and on the website. Note that

the midterm and final will be more difficult than the quizzes and requires more understanding

of the course material.

**Grading
**Homework 20 % (lowest grade dropped)

Quizzes 20 % ( lowest grade dropped)

Midterm 25 %

Final 35 %

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