Mathematics 110
Fall, 2002

Course Control Number 54987

Professor Ken Ribet

photo of Ribet by Hui June Zhu

885 Evans Hall

Office: 510 642 0648
Fax: 510 642 8204

Office hours Math 115 students in Ribet's office,

Lectures: 3 LeConte Hall, TuTh 2:10-3:30

Optional discussion sections: Monday, 3:10-4 in 247 Cory Hall and Thursday, 11:10-12 in 285 Cory.

This course doubled in size because of its large waiting list. As a result, graduate student instructor Tom Coates will be working with this class in a number of ways. His Web page for Math 110 contains information for our course. Tom will conduct the two weekly discussion sections, hold office hours, and assist with quiz and exam grading.


Math 54 required, Math 53 and experience with proofs highly recommended. If you have never taken an upper-division math course before and expect to have trouble with proofs, you should consider taking Math 74 as a bridge to the upper division.


The catalog proposes that we cover:
Matrices, vector spaces, linear transformations, inner products, determinants. Eigenvectors. QF (sic.) factorization. Quadratic forms and Rayleigh's principle. Jordan canonical form, applications. Linear functionals.
This intimidating list gives you some idea of what will go on, but we won't cover every topic! I will follow the book as closely as possible.


Linear Algebra, third edition, by
photo of Steve Friedberg
Stephen H. Freidberg
photo of Arnold J. Insel
Arnold J. Insel
photo of Larry Spence
Lawrence E. Spence

A fourth edition has just been announced, but I am told that the bookstore received the older edition. See the authors' list of errata for corrections that are tailored to your copy of the book.

Recommended Reading: There are quite a few good linear algebra books in circulation; see the textbook lists for some examples. Whenever you feel stuck when reading our text, feel free to consult alternative treatments. Reading several discussions of one topic is often illuminating. One excellent book is Linear Algebra Done Right by Sheldon Axler.


Short written quizzes will be given in class roughly every 10 days. The quizzes are intended to test your understanding of fundamental points that emerge during the lectures.


You might have found the Moffitt Library Exam Files useful in preparing for exams.


Your course grade was based on a composite numerical grade that Tom and I computed as a linear combination of your homework, quiz, and examination scores. The intention was to make the various course components count as follows: Homework 10%, quizzes 20%, midterms 15% each, final 40%. Because there were 200 homework points, 50 final points, and so on, the composite grade was computed as the sum of the homework grade divided by 20, 4/5 of the final exam grade, 3/8 of the sum of the two MT exam grades and 2/3 of the quiz grade. A student who received perfect scores on all components would have received a composite grade of 100. The actual composite grades obtained by the 61 students who sat for the final exam ranged from 14.64 to 97.68. After examining the composite grades and looking at representative final exam papers, I awarded 61 grades as follows: 15 As, 20Bs, 13Cs, 12Ds and 1F. Those students who took the course on a P/NP basis had their letter grades converted into either P or NP. I awarded Fs to those students who were signed up for the course but did not take the final exam. I believe that all of them left the course early on in the semester and had forgotten to drop the class.

Homework Assignments

For problems that request proofs (``show that...''), write your answers in complete English sentences. For computational questions, write supporting sentences that explain what you are doing and what is going on.
  1. Assignment due September 3:
  2. Assignment due September 10:
  3. Assignment due September 17:
  4. Assignment due September 24:
  5. Assignment due October 8:
  6. Assignment due October 15:
  7. Assignment due October 22:
  8. Assignment due October 29:
  9. Assignment due November 12:
  10. Assignment due November 19:
  11. Assignment due November 26:
  12. Assignment due December 5:

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