Math 308 D&E, Autumn 2007


Instructor: Emmanouil Milakis
Office: Padelford Hall C-332
E-mail: milakis@math.washington.edu
Office hours: Monday 1-2, Wednesday 1-2 or by appointment.
Course Webpage: http://www.math.washington.edu/~milakis/Courses/308/308Autumn07.htm

Text: Introduction to Linear Algebra (5th Edition) by Johnson, Reiss and Arnold. We will cover (most of) Chapters 1, 3 and 4.

Lectures: Monday, Wednesday, Friday 10:30-11:20 (Math 308D) and 11:30-12:20 (Math 308E) in CMU B006.

Exams: There will be two midterm exams and a final exam.

  • The first midterm is scheduled for Oct 19th.
  • The second midterm is scheduled for Nov 16th.
  • Final Exam :

         Math 308D : DECEMBER 10, 2007, 830-1020 in CMU B006.

         Math 308E : DECEMBER 12, 2007, 230-420 in CMU B006.

 

Homework: Homework assignments are due on Wednesdays at the beginning of class (see homework Schedule below). Each student must turn in his/her own assignment.

 

Homework Schedule

Grades: Course grades will be computed on the following basis:

  • Homework 15%,
  • Midterms 20% each,
  • Final exam 45%.

 

Calculator and notes policy in exams.  Calculators are NOT allowed. One 8 x 11.5 sheet of handwritten notes is allowed on the midterms (one side) and on the final exam (both sides ok). In each of homework assignments, midterms and final exams you have to show all your work and support your reasoning in order to get full credit.

 

 

Syllabus for Math 308 course offered at the University of Washington.

Calendar/Announcements: (check here for up-to-date information about the course)

12/12/2007:     Course grades for 308D and 308E. I will be holding office hours on Thursday 12/13 from 12-2pm if you would like to come by and pick up  

                        your final.

12/07/2007:     Review.

12/05/2007:     Review.  Our Final exam will be : 

                         Math 308D : DECEMBER 10, 2007, 830-1020 in CMU B006.

                         Math 308E : DECEMBER 12, 2007, 230-420 in CMU B006.

                        No books or calculators are allowed. You may make and use one page of notes (8 1/2 " x 11 " - both sides okay), however this page of notes must be  handwritten.

11/28/2007:     Eigenspaces-Applications. Practice problems (not collected or graded), Section 4.5: 1, 7, 11, 15, 18, 19.

11/26/2007:     Characteristic polynomial and eigenvalues, Practice problems (not collected or graded), Section 4.4: 1, 9, 13, 15, 16, 17.

11/23/2007:     No class.

11/21/2007:     More on Determinants. Practice problems (not collected or graded), Section 4.3: 1, 7, 9, 11, 17, 19.

11/19/2007:     The eigenvalue problem-Determinants. Practice problems (not collected or graded), Section 4.1: 1, 3, 9, 13, 17. Section 4.2: 15, 21, 29.
            Our last HW7 is now posted in Homework Schedule and is due on Wednesday 28/07/2007.  HW8-9 is also posted there.

11/16/2007:     Midterm 2. Grades : 308D and 308E.

11/14/2007:     Review session. Chapter 3. Extra Office Hours : Thursday 11/15, 12:00-2:00.

11/12/2007:     No class.

11/09/2007:     Least-squares solutions. Applications  Practice problems (not collected or graded), Section 3.8: 1, 3, 5, 9, 11.

                         Practice Problems on Chapter 3. I will try to solve some of them during lecture on Wednesday 11/14.

                        Our Second Midterm will cover Chapter 3 (3.1-3.8) and is scheduled for Friday 11/16. Please read the Calculator and notes policy above.

                        You can find a midterm exam I gave last year here.

11/07/2007:     Linear Transformations. Examples Practice problems (not collected or graded), Section 3.7: 1, 3, 7, 18, 19, 26, 30.

                        HW6 is now posted in Homework Schedule and is due on Wednesday 14/07/2007.

11/05/2007:     Gram-Schmidt Method. Practice problems (not collected or graded), Section 3.6: 1, 6, 9, 15.

11/02/2007:     Properties on Basis. Orthogonal Bases

10/31/2007:      Basis of a subspace. Dimension of a subspace. Examples  Practice problems (not collected or graded), Section 3.5: 4, 10, 13, 26, 31, 37.

                         HW5 is now posted in Homework Schedule and is due on Wednesday 11/07/2007.

10/29/2007:      Row and column spaces of a matrix. Basis of a subspace. Applications. Practice problems (not collected or graded), Section 3.4: 1, 5, 9, 11, 28, 33, 36.

10/26/2007:      Span of a subset, kernel and range of a matrix. Practice problems (not collected or graded), Section 3.3: 1, 3, 13, 17, 23, 29, 35.

10/24/2007:      The vector space R^n. Subspaces. Practice problems (not collected or graded), Section 3.1: 1, 3, 5, 9, 13, 15, 23, Section 3.2: 1, 7, 9, 15, 27.

                          HW4 is now posted in Homework Schedule and is due on Wednesday 10/31/2007.

10/21/2007:       We solved the problems of the 1st Midterm.

10/19/2007:       Midterm 1. Grades : 308D and 308E.

10/17/2007:       Review Session-Chapter 1. Extra Office Hours : Thursday 10/18, 12:00-2:00.

10/15/2007:       Properties on inverses. Examples.

                          The first midterm will cover Chapter 1 and is scheduled for next Friday during lecture time in CMU B006.

                          Please read the Calculator and notes policy above. You can find a midterm exam I gave during winter 2006 here.  

10/12/2007:       Non-Singular matrices and applications. Inverse of a matrix.

                          Practice problems (not collected or graded), Section 1.8: 3, 7, 29, 30. Section 1.9: 3, 9, 13, 26, 31, 46, 71, 74.

10/10/2007:       Linear Independence. Practice problems (not collected or graded), Section 1.7: 1, 19, 39, 43, 53. 

                          HW3 is now posted in Homework Schedule and is due on Wednesday 10/17/2007.

10/08/2007:       Matrix operations, transpose of a matrix and symmetric matrices. Examples.

                          Practice problems (not collected or graded), Section 1.6: 1, 3, 9, 11, 21, 29, 39, 45.

10/05/2007:       Matrix operations and examples.

                          Practice problems (not collected or graded), Section 1.5: 1, 9, 17, 35, 41, 53, 61, 65.

10/03/2007:      Consistent-Inconsistent systems revisited. Applications.  HW2 is now posted in Homework Schedule and is due on Wednesday 10/10/2007.

                          Practice problems (not collected or graded), Section 1.3: 3, 7, 17, 23, 25. Section 1.4: 1, 3.

10/01/2007:      Gauss-Jordan Elimination.

09/28/2007:      Echelon form-Reduced Echelon form of a matrix. Practice problems (not collected or graded), Section 1.2: 9, 19, 21, 27, 35.

09/26/2007:       Instruction begins. Introduction to matrices and linear systems. HW1 is now posted in Homework Schedule and is due on Wednesday 

                          10/3/2007. Practice problems (not collected or graded), Section 1.1: 1, 2, 5, 7, 25, 27.