Math 102: Linear Algebra, Spring 2008

under construction!

Office hours: MW:5-6, F 1-2

Office: APM 5256, tel. (858) 534-2734

Teaching assistants: Allison Cuttler, APM 6446 (email: acuttler@math.ucsd.edu) office hours: W4-5, Th 12:30-1:30

Computation of grade: The grade is computed from your scores in the final (60%), 1 midterm (30%), and homework (10%). Passing grade for final required for passing the course! I will make a practice final available before the real final.

Dates of exams:

Midterm: Friday, May 9

Texts

• Gilbert Strang: Linear algebra and its applications, Thomson, fourth edition.

Tentative Syllabus (may change, i.e. we may go a bit faster or slower than indicated):

Week 1: 1.1-7 Matrices and Gaussian elimination functions.
Week 2: 2.1-3 Vector spaces and subspaces, solving Ax=b, linear independence, basis and dimension
Week 3: 2.4-6 The four fundamental subspaces, graphs and networks, linear transformations
Week 4: 3.1-3.4 Orthogonal vectors and subspaces, projections, least squares, orthogonal matrices, Gram-Schmidt,
Week 5: 3.5: Fast Fourier Transform, 4.1-4 Determinants
Week 6:
Week 7:
Week 8:
Week 9:
Week 10:

Homework assignments

Homeworks need to be turned in on or before the stated date, usually a Friday. No homework needs to be turned in on Fridays when a midterm is scheduled. However, some of the homework may also be part of the material being asked for the midterm. It is very importvant that you do the homework problems as most of the exam problems will be variations of homework problems.

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 4/4: Sec. 1.2: 3, 10, Sec. 1.3: 3 (misprint: Eq. 2 --> Eq. 1, Eq. 3 --> Eq. 2), 18, 31, Sec. 1.4: 6, 10, 30. 32

for 4/11: Sec. 1.5: 1, 4, 15, Sec. 1.6:4,6,22,35,50, Sec. 1.7: 3,6, Sec. 2.1: 3, 7abcf, 8, 25, 26, Sec. 2.2: 5, 8, 10.

for 4/18: Sec. 2.2: 24, 25, Sec: 2.3:2,10, 12,13,20,26,30, Sec. 2.4: 2,5,8,27,28, Sec 2.5: 6, 8.

for 4/25: Sec. 2.6: 6, 7, 8, 9, 16, 18, 22, 33, Sec. 3.1: 2, 7, 11, 14, 16, 19, 22, 32, 37, 44, 51, Sec. 3.2: 14, 17, 19, 21,

for 5/2: Sec. 3.3: 4,6,12, 17, 22, 27, Sec. 3.4: 13, 15, 16, 21, 23, 30, Sec. 3.5: 11,14,

for 5/9: Sec. 4.2: 2,7,10,12,14,18,25,28,31, Sec. 4.3:3,5,28,34,36,43, for review see links to practice exams below

for 5/16: Sec. 4.4: 5, 10, 14, 18, Sec. 5.1: 5, 7, 14, 25, 27, Sec. 5.2: 4, 5, 7, 8, 15, 21, 29, 30, 34, 40,

for 5/23: Sec. 5.3: 2, 8, 10, 12, 15, 25, 28, Sec. 5.4: 1, 2, 3, 5, 8, 9,

for 5/30: Sec. 5.5: 16,17,18,36,38, 41,42,44,46, Sec. 5.6: 3, 8, 11, 13, 17, 25, 30, 31, 41, 44,

for 6/6: App B:1,5,6, Sec 6.2: 2,4,8,23,27,29,30,34, Sec 6.3:2,3,5,10,15,19, homework need NOT be turned in on Friday - but the material is relevant for the final! NO CHANGE OF ALLISON'S OFFICE HOURS THIS WEEK, office hours for exam week posted below.

Midterm The material for the midterm will go over the first 6 homework assignments. You are allowed one hand-written cheat sheet, but no other notes, books or calculators. You can find some practice exams below. You would only have to do problems from the first two exams for each term; you need not worry about problems dealing with material we have not covered yet.

Homework Solutions: Here are solutions of homework problems. The ordering may sometimes be a bit different, i.e. you may find the solution in not exactly the assignment you were looking in. If you can not find it, check the other assignments.

Here are solutions to the midterm:

Final: Wednesday, June 11, 3-6.

Practice finals with solution: (look at both, even though the second one does not have solutions).

Office hours for finals week:

Allison: Monday 1-3 pm, Tuesday 9-11 am

myself: Tuesday 1-3,