## Math 20F: Linear Algebra, Winter 2002

Office hours: M11-12, W11-12, 4-5 and by appointment

Office: APM 5256, tel. 534-2734

Teaching assistants: Ed Mamou (edmamou@yahoo.com) APM 6349A, office hours MWF 2-3pm, Thomas Fleming (tfleming@math.ucsd.edu) and Robert Wannamaker (rwannama@ucsd.edu)

Computation of grade: The grade is computed from your scores in the final (45%), 1 midterm (20% ), quizzes in sections (best 3 of 4) (15%), matlab problems (10%) and homework (10%).

Dates of exams:

Midterm: 2/15

Quizzes: 1/24, 2/7, 2/21, 3/7

Homeworks and Matlab assignments need to be turned in in sections, and selected problems will be graded. It is very important that you do the homework problems as most of the exam problems will be variations of homework problems.

Course material: We will use the book `Linear Algebra with Applications', 6th Edition, by Steven Leon. For a tentative outline of the course click below.

Homework assignments

Disclaimer: I will try to get the homework assignment on the net in time. Due to time and other limitations, this may not always be possible. The fact that there is no assignment posted for a particular date does therefore NOT necessarily mean that no homework is due.

for 1/10: Section 1.1: 1b, 6a,d,e,f,h, 8, 9.

for 1/17: Section 1.2: 2, 5abcd, 8, 13, 18, Section 1.3: 1, 8, 13, 15, 17, 23, 24, 26

Matlab for 1/22: Book: chapter 1, 11, atlast manual: 1.2: 3abcd

for 1/24: Section 1.4: 5, 6, 7ad, 9aeg, 14, 18, 19, Section 1.5: 4ad, 5ab

Matlab for 1/29: Book: chapter 2, 1, 5,

for 1/31 Section 2.1: 1, 4, 9, Section 2.2: 2, 4, 7, 10, Section 3.1: 3, 4, 6, 11, 16,

Matlab for 2/5: Chapter 3: 1,2

for 2/7: Section 3.2: 1, 3, 4, 5, 9, 11, 18, 19, Section 3.3: 2, 5, 6, 12, 14,

Matlab for 2/12: atlast manual: 4.1: 16, 4.2: 6abcd

for 2/14: Section 3.4: 2, 5, 8, 11, Section 3.5: 1, 3, : 1, 5, 9, Section 3.6: 1, 7, 17, 18, 19

Matlab for 2/19: atlast manual 6.1: 1, book chapter 5: 1 Info: An orthonormal basis is a basis {v_1, ... v_n} such that each basis vector has length 1, and such that the scalar product of 2 basis vectors not equal to each other is equal to 0.

for 2/21: Section 5.1: 1, 3, 4, 7, 9, 12, 13 (for problems 7 and 9 see examples 5 and 7 in Section 5.1), Section 5.2: 3, 7,

Matlab for 2/26: atlast manual 6.1: 2 book, chapter 5: 2

for 2/28: Section 5.2: 1, 16, Section 5.3: 1, 2, 5, 7, Section 5.5: 2, 4, 14, 15, 16,

Matlab for 3/5: book, chapter 6: 1, 3, 4, 10

for 3/7: Section 5.6: 1, 2, 5(look at Theorem 5.6.3), 8, Section 6.1: 1adg, 2, 3, 6, 8, 9, 13, 18

Matlab for 3/12: book, chapter 6: 19, 20, 21

for 3/14: Section 6.3: 1acd, 6, 10, 18, Section 6.4: 1a, 4abcd, 5abc, 6, 11, Section 6.5: 1, 2ac, 5

Solutions: The TA's have written up solutions which you can find on http://www.math.ucsd.edu/~emamou/

FINAL: time: Tuesday, March 19, 11:30-2:30. The final is not in our usual class room!

students in sections B01 and B05: Warren Lecture Hall 2111

students in other sections: Warren Lecture Hall 2005

The same rules apply for the final as for the midterm: One hand-written cheat sheet is allowed, no calculators or other notes. The material will go over the whole course, but with a clear emphasis on what has been done after the midterm. For those who want to get started with their preparation, I have posted a practice exam below (for problem 7: think of L as a 3x3 matrix, and the vectors to be column vectors). Additional problems about quadratic forms: Section 6.6 3abc.

Office hours for exam week: Sunday 6-8pm (Ed Mamou, APM6349A), Monday 2-4 at my office (APM 5256), Monday 3:30-5 (Tom Fleming, APM2202).

practice final ps-file

practice final pdf-file

MIDTERM: The material for the midterm will go until the last homework assignment, due this Thursday. The problems will be similar to homework problems. You are allowed to use one hand-written cheat sheet, but no caculators, books or other notes. You can practice for the midterm by doing other, similar homework problems, or do the problems of the midterm I gave last spring below (clicking on it should give you the problems, if your computer can deal with ps-files, or try the pdf-file). Of course, posting my previous midterm does not guarantee that the midterm this year will be the same or very similar.

practice midterm ps-file

practice midterm pdf-file