MATH 132 – Linear Algebra II

Winter 2007

 

 

Professor: Dr. Janet Vassilev
Office: Surge 233 

Office Hours:  M 11 am-12 pm, W 3-4 pm, F 9-10 am and by appointment.
Telephone: (951) 827-3020
email: jvassil@ucr.edu

webpage: http://math.ucr.edu/~jvassil

Text :  Linear Algebra, 3rd Edition, by Fraleigh and Beauregard

Course Meetings:  The course lectures will be held in Sproul Hall 1340 on Mondays, Wednesdays and Fridays at 10:10-11 am.  Discussion sessions will be held on Tuesday (8:10 pm) with either Tim Ridenour (002) or Jeff Morton (003) or (7:10 am) with Tiff Troutman (004).  You are expected to attend both the lectures and the discussion sessions as per Math Department decree. 

Tips for Success: * Come to class!  It is amazing how much you can learn by being attentive in class.  * Collaborative learning is encouraged but remember only YOU will be taking the quizzes and exams... * Like all mathematics, linear algebra is not a spectator sport; you will learn only by doing!  You will find that a consistent effort will be rewarded. * Be organized.   Have a notebook or binder for Linear Algebra alone to keep your class notes, homework, quizzes and exams in order.  * No question you have should be left unanswered.  Ask your questions in class, discussion session or take advantage of office hours.

Homework (100 points):  Homework will be assigned daily and the starred problems will be collected during the next week’s discussion session.  No late homework will be accepted.  Homework will not be graded unless it is written in order and labeled appropriately.    An answer alone will get 0 points.  Make sure to justify every answer.  Your lowest homework score will be dropped and the remaining homework will be averaged to get a score out of 100.

Quizzes (100 points):  There will be a short quiz given at the beginning of each lecture testing you on the definitions and theory that you learned from last class.  You may use your notes.  Quizzes will only last 5 minutes so make sure that your notes are organized and that you arrive on time for class.  There may also be a quiz at the end of discussion with one problem similar to the homework problems assigned during the previous week.  You may not use your notes for this quiz.  The daily quizzes will be worth 2 points each, the lowest three will be dropped and the remaining will be averaged to obtain a score out of 50 points.   The discussion quizzes will be worth 10 points each, there will be at least 6, and I will keep only the top 5 scores for a total of 50 points. 

Exams (300 points):  I will give one midterm (100 points) and a final (200 points). Please bring your ID to each exam.  There are no make up exams. If a test is missed, notify me as soon as possible on the day of the exam. For the midterms only, if you have a legitimate and documented excuse, your grade will be recalculated without that test.  The Midterm is tentatively scheduled on Friday, February 9.  The Final is on Wednesday, March 21, from 8-11 am.

Grades:  General guidelines for letter grades (subject to change; but they won't get any more strict): 90-100% - A; 80-89% - B; 70-79% - C; 60-69% - D; below 60% - F.  In assigning Final Grades for the course, I will compare your grade on all course work (including the Final)  and your grade on the Final Exam.  You will receive the better of the two grades.

Calculator Policy:  It is the Math Department’s policy to forbid the use of calculators on both exams and quizzes.

Tentative Schedule (for Dr. Vassilev’s Linear Algebra):

Date

Section

Topic

Homework

1/5

5.1

Eigenvalues

5.1 3, 7, 9, 23, 25, 31, 37, *6, *14, *30, *36

1/8

5.1

Eigenvalues continued

5.1 17-21 odd, 41, *22, *24, *26

1/10

5.2

Diagonalization

5.2 1, 7, 9, 13, 15, 17, 22, *Homework Sheet

1/12

5.2

Diagonalization

5.2 21, 24, 25 *Homework Sheet

1/17

5.3

Applications

5.3 1,7,9,11 *Homework Sheet

1/19

6.1

Projections

6.1 1, 5, 7, 11, 15, 23, 25, 27 *Homework Sheet

1/22

6.2

Gram-Schmidt

6.2 1-7 odd, 13, 24, 25, 29, 30, *Homework Sheet

1/24

6.2

Gram-Schmidt

6.2 9, 11, 19;  6.3 3, 9, 23, *Homework Sheet

1/26

6.3

Orthogonal Matrices

6.2 27; 6.3 11, 13, 15, 19, 23, 24, 25, 27, *Homework Sheet

1/29

6.3, 6.4

Orthogonal Maps and Projection Matrices

6.3  33, 35, 37, 40; 6.4 1, 3, 5 , *Homework Sheet

1/31

6.4

Projection Matrices

6.4 14, 15, 17, 19, 23, 25, 29, *Homework Sheet

2/2

6.5

Least Squares

6.5 1, 5, 7, 13, 17, 21, *Homework Sheet

2/5

7.1

Change of Basis

7.1 3, 5, 7, 9, 11, 15, 23, *Homework Sheet

2/7

 

Review

 

2/9

 

Midterm

 

2/12

7.2

Similarity

7.2 1, 3, 5, 7, 9, *Homework Sheet

2/14

7.2

Similarity

7.2 17-23 odd, 27, *Homework Sheet

2/16

9.1

Complex Numbers

9.1 3, 6, 7, 9, 10, 17, *Homework Sheet 

2/21

9.1

Complex Numbers

9.1 19, 21, 23, 24, 25, *Homework Sheet

2/23

9.2

Complex Vector Spaces

9.2 1, 3, 5, 9, 13, 15, 23, 25, 27, *Homework Sheet

2/26

9.2

Complex Vector Spaces Continued

9.2 31, 33, 35, 37, 43, *Homework Sheet

2/28

9.3

Complex Eigenvalues

9.3 1, 3, 5, 9, 13, 17, *Homework Sheet

3/2

9.3

Diagonalization

9.3 19, 23 * Homework Sheet

3/5

9.4

Jordan Canonical Form

9.4 1-9 odd, 13, 15, 17 *Homework Sheet

3/7

9.4

Jordan Canonical Form

9.4 23, 24, 26, 29, 33, *Homework Sheet

3/9

8.1

Quadratic Forms

8.1 1, 5, 7, 3, 13, *Homework Sheet

3/12

8.1

Diagonalization of Quadraric Forms

8.2 1, 3, 8.3 7, 25

3/14

 

Review

 

3/16

 

Review

 

3/21

 

Final