# 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

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.

Homework 20 % (lowest grade dropped)
Quizzes 20 % ( lowest grade dropped)
Midterm 25 %
Final 35 %

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