Math 225 R1, Fall 2009

Introductory Matrix Theory

General Information

Text: David C. Lay, Linear Algebra and Its Applications, Addison-Wesley, 3rd Edition, 2003; Chapters 1-6
Prerequisite: Math 220 or Math 221
Time&Place: 2:00-3:50pm TR, Room 303 English Building, from October 20 to December 8, 2009
Instructor: Shichang Song; E-mail: ssong8 at illinois dot com
Homepage: http://www.math.uiuc.edu/~ssong8/225r1.html
Office: B1A Coble Hall, Champaign; Phone: 265-5431
Office Hours: 1-2pm, Mondays and Fridays and by appointment
Grading Policy: 24% Homeworks (120pts), 40% Midterm Exams 1-2 (200pts) and 36% Final Exam (180pts).
H1N1 Note: Those who have an influenza-like illness, with symptoms such as cough, fever and sore throat, should stay out of close contact with others and not come to work or class to reduce the spread of infection. In order to accommodate students' absences due to flu-related issues, make-ups for quizzes and exams will be offered during normal office hours and at other times when necessary.

You will be able to check your homework and exam grades at Score Reports, which is the Math Department's gradebook program.  This will be available beginning approximately two weeks into the semester.  All your h/work, quiz and exam grades will be posted there. You will be prompted for your NetID and NetID password after following the Score Reports link. Please check score reports regularly to make sure your grades have been correctly reported and tell me promptly about any errors.  You are responsible for keeping all of your graded homework and exams so that any discrepancies in recorded grades can be settled.


Exams

Midterm Exam 1: Chapter 1, 2, in class, November 5.
Midterm Exam 2: Chapter 3, 4, in class, November 19, right before the Thanksgiving break.
Final Exam: Comprehensive exam, 7-10pm, Wednesday, December 16.

Topics and Class Hours (approximate)

Chapter 1: Linear Equations (Sections. 1.1-1.5,1.7) - 6 hours
Chapter 2: Matrix Algebra (Sections. 2.1-2.3,2.6) - 4 hours
Exam 1 - 1 hour
Chapter 3: Determinants (Sections. 3.1-3.3) - 3 hours
Chapter 4: Vector Spaces (Sections. 4.1-4.3,4.5-4.6) - 5 hours
Exam 2 - 1 hour
Chapter 5: Eigenvalues and Eigenvectors (Sections 5.1-5.3) - 3 hours
Chapter 6: Orthogonality (Sections 6.1-6.3,6.5) - 3 hours

Problems for Homework Assignments

We have totally 13 classes and would have at least 12 homeworks(if we had one more, then we could drop the least score off), each would count as 10 points.

Homework 1: (due on October 27)
Sect 1.1: 5,7,12,16,18,19,20,24;
Sect 1.2: 4,6,9,10,22,30;

Homework 2: (due on October 29)
Sect 1.3: 6,8,9,14,22,24;
Sect 1.4: 4,8,9,15,22,24;

Homework 3: (due on November 3)
Sect 1.5: 8-10, 13,14,23,24;
Sect 1.7: 6-8,17-26;

Homework 4: (due on November 3)
Sect 2.1: 6-22;
Sect 2.2: 8,9,11-14,21,30-33;

Homework 5: (due on November 5)
Sect 2.3: 2-4, 11-13,15-20;
Sect 2.6: 2-7,9;

Homework 6: (due on November 10)
Sect 3.1: 11-15,22-24,27-30;

Homework 7: (due on November 12)
Sect 3.2: 7-9,13,14,17-19,31-33;
Sect 3.3: 4,5,11,12;

Homework 8: (due on November 17)
Sect 4.1: 3-8, 11,12,15-17;
Sect 4.2: 5,6,20,21,24,25;

Homework 9: (due on November 19)
Sect 4.3: 6-9, 12-15,20,21;
Sect 4.5: 6-10, 12-14, 19-21, 23;

Homework 10:
Sect 4.6: 3-8, 15-17;

Sect 5.1: 3-10,21;
Sect 5.2: 7-11,16,17,21;
Sect 5.3: 4,5,10-12,18,19,21;

Sect 6.1: 19,20;
Sect 6.2: 11-13,23;
Sect 6.3: 5,7,11,31;
Sect 6.5: 3,5,11,17.

Lecture Log

Tuesday October 20: Finished Section 1.1 and nearly finished Section 1.2
Thursday October 22: Finished Section 1.2 , Section 1.3 and started Section 1.4
Tuesday October 27: Finished Section 1.4, 1.5 and started Section 1.7
Thursday October 29: Finished Section 1.7, 2.1 and nearly finished Section 2.2
Tuesday November 3: Finished Section 2.2, 2.3 and 2.6
Thursday November 5: Started Section 3.1 and nearly finished it.
Tuesday November 10: Finished Section 3.1, 3.2 and started 3.3.
Thursday November 12: Finished Section 3.3, 4.1 and 4.2.
Tuesday November 17: Finished Section 4.3 and 4.5.

Last modified November 17, 2009

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