Math 308 A and E: Matrix Algebra, Autumn 2013

• Location and Time: CDH 139, MWF 9:30 for 308A and CDH 139, MWF 10:30 for 308E
• Instructor: James King (king@u.washington.edu)
• Instructor's Home Page: http://www.math.washington.edu/~king/
• Office and Hours: Padelford C440, Mondays 1-2 and Wednesdays 1-2 and by appointment

Important Facts about these Sections

• The textbook is Linear Algebra with Applications by Jeffrey Holt NOT Johnson-Riess-Arnold
• These sections will have homework assignments on WebAssign, so all students will need to have a Webassign account. See the course intro page link below this for more information.

Course Introduction and Information

Course Catalyst Workspace with course resources

• Results of definition activity
• Old exam for practice

Readings in Holt

• Week 1: Read Sections 1.1 and 1.2 (solving linear systems, echelon and triangular systems, Gaussian elimination, leading and free variables, augmented matrix of a system, etc.)
• Week 2: Read Sections 2.1 (for Monday 9/30), 2.2 (for Wed. 10/2), 2.3 (for Fri. 10/4)
• Week 3: Read Sections 3.1 (for Monday 10/7), 3.2 (for Wed. 10/9), more 3.2 (for Fri. 10/11)
• Week 4: Read Section 3.3 (for Monday 10/14), review & applications & loose ends (for Wed. 10/16), MIDTERM (Fri. 10/18)
• Week 5: Looking back to special matrices from 3.2 & 3.3 (for Monday 10/21), Section 4.1 for Wednesday (10/23) and begin Section 4.2 for Friday (10/25)
• Week 6: More Section 4.2 and Section 4.3 (Monday 10/28), Section 3.4 - LU factorization for Wednesday (10/30) and Section 5.1 - Determinants for Friday (11/1).
• Week 7: More Section 6.1 and part of Section 6.4 eigenvalues, eigenvectors and diagonalization (Monday 11/4), More Section 6.1 and 6.3 for Wednesday (11/6) and Section 3.5 - Markov Chains for Friday (11/8).
• Week 8: HOLIDAY (Monday, 11/11) More Section 6.1 and part of Section 6.4 More eigenvalues, eigenvectors and diagonalization from Sections 6.1, 6.4 and 6.3 - coordinate change for Wednesday (11/13) Review and some applications for for Friday (11/15).
• Week 9: MIDTERM 2 (Monday 11/18), Orthogonal sets from Section 8.1 (Wednesday 11/20) and Section 8.2 Orthogonal Projection and Gram-Schmidt for Friday (11/22).
• Week 10: More Section 8.2 and also 8.3 Diagonalizing Symmetric Matrices (Monday 11/25), Section 8.3 QR decomposition (Wednesday 11/27) HOLIDAY (Friday 11/29)
• Week 11: Section 8.5 Least Squares Regression (Monday 12/2) Wrap-up and Review (Wednesday 12/4 and Friday 12/6).
• Week 12: Math 308E Final Exam (Monday 12/9 at 8:30 - 10:20)
  Math 308A Final Exam (Wednesday 12/11 at 8:30 - 10:20)

Assignments

• Assignment 1 due Monday 9/30 by 9AM: WebAssign: Assignment 1. Suggestion: Try some questions before Friday, so that if you have any trouble with the assignment, you can ask for help.
• Assignment 2 due Friday 10/4 by 9AM: WebAssign: Assignment 2. This assignment should take less time than the ones before and after, since it is mostly short answers. The main purpose of this assignment is to help you assess how well you have really understood the basic but essential material from Chapter 1.
• Assignment 3 due Monday 10/7 by 9AM: WebAssign: Assignment 3. This is a major assignment that provides experience with the new concepts of span and linear independence from 2.2 and 2.3. Also, it includes a few applications (word problems) from 2.1.
• Assignment 4 due Friday 10/11 by 9AM: WebAssign: Assignment 4. This assignment continues with more of 2.3 and then begins work with the concept of Linear Transformation from 3.1
• Assignment 5 due Wednesday 10/16 by 9AM: WebAssign: Assignment 5. This assignment covers the last two sections before the midterm. The important concepts are Matrix Algebra (especially the matrix product) from 2.2 and the Inverse of a transformation or a matrix, from 3.3. continues with more of 2.3 and then begins work with the concept of Linear Transformation from 3.1.
• Assignment 6 due Friday 10/25 by 9AM: WebAssign: Assignment 6. This assignment is all from Section 4.1 and is devoted to the concept of subspace.
• Assignment 7 due Wednesday 10/30 by 9AM: WebAssign: Assignment 7. This assignment is from Section 4.2 and 4.3 and is devoted to bases and dimension.
• Assignment 8 due Wednesday 11/6 by 9AM: WebAssign: Assignment 8. This assignment is from Section 3.4 (LU factorization) and 5.1 (determinants).
• Assignment 9 due TUESDAY 11/12 by 9AM: WebAssign: Assignment 9. This assignment is from Sections 6.1 and 6.4 on eigenvalues, eigenvectors, and diagonalization.
• Assignment 10 due Friday 11/15 by 9AM: WebAssign: Assignment 10. This assignment is from Sections 3.5 (Markov chains and stochastic matrices) and 6.1, 6.3, 6.4 and some applications of eigenvalues, eigenvectors, and diagonalization.
• Assignment 11 due Monday 11/25 by 9AM: WebAssign: Assignment 11. This assignment is from Sections 8.1 and 8.2 (orthogonal sets and orthogonal projection)
• Assignment 12 due Wednesday 12/4 by 9AM: WebAssign: Assignment 12. This assignment is from Sections 8.3 and 8.5 (diagonalizing symmetric matrices, QR, and least squares regression)

Major Test Dates (see course description for how other tests and quizzes will be handled)

• Midterm 1, Friday 10/18 (see Catalyst Workspace for sample test)
• Midterm 2, Monday 11/18 (see Catalyst Workspace for sample questions)
• Final Exam, Math 308A: Wednesday 12/11, 8:30-10:20; Math 308E: Monday 12/09 8:30-10:20