** 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

** Dates of exams: **

Midterm: Friday, May 9

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

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.

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,