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

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

** Teaching assistants:** Daniel Budreau (email: dbudreau@math.ucsd.edu)
Chris Tiee (email: ctiee@math.ucsd.edu)

** Dates of exams: **

Midterms: April 18 and May 19

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

Week 2: 2.3-6, 3.1-3.2 : differentiation, curves, gradients,

Week 3: 4.2-4.4: arc length, vector fields, divergence and curl,

Week 4: 5.1-5, 6.1(6.2): Double and triple integrals, change of order of integration, maps from

Week 5: 6.2, 7.1-3: change of variables theorem, path and line integrals, parametrized surfaces

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 important ** that you do the homework problems
as most of the exam problems
will be variations of homework problems.

for 4/4: Sec. 1.1: 16, Sec. 1.2: 8, 14, 22, Sec. 1.3: 6, 7, 12, 16a, Sec. 1.5: 4, 18

for 4/11: Sec. 2.1: 6, 11 (level sets only), 21, 28, Sec. 2.3: 6a, 8cd, 12c, 18, 20, Sec. 2.4: 8, 18, Sec. 2.5: 4, 5c, 15, 8, 12,

for 4/18: need not be turned in, but relevant for midterm: Sec. 2.6: 3c, 4a, 6a, 9, 12, 24b, Section 3.2: 2, 6. For further info about the midterm, see below.

for 4/25: Sec. 4.2::2,10,12, Sec. 4.3: 3,4, 10, 14, 20, Sec. 4.4: 4,5,8,18,20,26,

for 5/2: Sec. 5.1: 1a, Sec. 5.2: 2d,4, Sec. 5.3: 2f,6, Sec. 5.4: 2b,8, Sec. 5.5: 4,11, Sec. 6.1:3,4,10,

for 5/9: Sec. 1.4: 4ab, Sec.6.2: 1,4a,8,9,19,25,29, Sec. 7.1:2a,4a Sec. 7.2: 1c, 2a, 3, 12, 15, 18

for 5/16: Sec. 7.3:2,5,12,14, Sec. 7.4:1,4,6,11, Sec. 7.5:2,4,8,10,6,15,

for 5/23: Sec. 7.6:2,3,5,7,10,18, no more homework this week, but start looking at the new one.

for 5/30: Sec. 8.1:1,3d,4,9,12,13,14,20, Sec.8.2: 3,6,10,23,

for 6/6: Sec. 8.3:4,7,10,12,13ac,20,24, Sec. 8.4:2,3,5a,8, NEED NOT BE TURNED IN.

** Information for final: **
The final will be cumulative, but will mostly deal with integrals
over curves, surfaces and three-dimensional regions. You will get
three pages of formulas. The first two are the ones you have already
seen at the second midterm. The third one is as follows:

You can find practice exams on the webpage listed below. Look at the samples for second midterms. You need not worry about problems concerning the flux. On the other hand, there may also be problems about path and line integrals in the first midterms listed there. Possible problems may be

Path and/or line integrals via parametrization, line integrals over gradient fields, how to detect gradient fields

Double and triple integrals, change of variable formula

parametrizations of curves and surfaces

areas of surfaces, integrals of functions over surfaces

The first midterm will be on Friday, April 18 in class. Unfortunately, I will be out of town on Friday, so

There are practice midterms and solutions at the following webpage. As the midterms there were given later in the course, there are also problems involving vector fields, curl etc. You need

**Office hours for finals week:**