Office hours: MW:5-6, F 1-2
Office: APM 5256, tel. (858) 534-2734
Teaching assistants: Daniel Budreau (email: email@example.com) Chris Tiee (email: firstname.lastname@example.org)Computation of grade: The grade is computed from your scores in the final (50%), 2 midterms (20% each), and homework (10%). Passing grade for final required for passing the course!
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 1: 1.1-5, 2.1(2): vectors, inner product, matrices, cross product, n-dimensional Euclidean space, geometry of real valued functions.
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.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. 1.1: 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:
Math 20E: Formulas 3
Other practice examsInformation for midterm The second midterm will be on Monday, May 19 in class. I will have an extra office hour Monday, 1-2. The material will go until the last homework assignment, i.e. until Section 7.5. You will get a sheet with formulas (see below). No other cheat sheet, books or calculators. Here are the formulas you will be given for your exam (you will not need to worry about the formulas for the flux).
Math 20E: Formulas 1
Math 20E: Formulas 2You 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 no office hour on Friday. The material will go over the first three homework assignments, so basically chapters 1, 2 and 3.2. The problems will be similar to homework problems or to problems done in the lecture. You will be given a formula sheet, which will contain all the formulas on the following sheet which we have already used (you need not worry about formulas we have not covered yet, such as arc length, flow lines. divergence etc).
Link to practice midterms
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 not worry about these problems. Just look at the first midterms.
Math 20E: Formulas
Office hours for finals week:Chris Tiee (APM 6444) Monday 2-4, (3-5(?)), Dan Budreau: (APM 6333), Tuesday 2-4, Instructor: Wednesday 12-2pm