The course will cover multiple integrals, line integrals, surface integrals, Green's theorem, Stokes's theorem, Gauss's theorem (a.k.a. divergence theorem).

The required textbook is Vector calculus by S. Colley, available at the bookstore and on reserve at the library. We will follow chapters 5, 6 and 7. We will also briefly review some material from chapters 1 and 3.

Math 51, or familiarity with the following notions:

Derivative in one dimension;

Definition of the Riemann integral;

Fundamental theorem of calculus;

Elementary integration techniques, such as integration by parts and substitutions;

Elementary vector calculus, including dot product and cross product;

3-by-3 determinants.

Lecture A Instructor: Laurent Demanet Contact info Section 01: MWF 11:00a - 11:50a Room 380-380W Section 04: MWF 1:15p - 2:05p Room 380-380W Office hours: MWF 2:20p - 3:20p or by appointment Room 380-382J	Discussion A-2/5 Teaching asst: Kaveh Fouladgar Section 02: TTh 11:00a - 11:50a Room 380-380D Section 05: TTh 4:15p - 5:05p Room 380-381U Office hours: MW 5:00p - 6:30p Room 380-380H	Discussion A-8/11 Teach. asst: Lan-Hsuan Huang Section 08: TTh 10:00a - 10:50a Room HERRINT185 Section 11: TTh 1:15p - 2:05p Room HERRINT195 Office hours: M 3:00p - 5:00p W 12:15p - 1:15p Room 380-381F
Lecture B Instructor: Mark Lucianovic Section 07: MWF 11:00a - 11:50a Room 200-203 Section 10: MWF 1:15p - 2:05p Room 380-380X Office hours: MW 9:20a - 10:50a Room 380-381L	Discussion B-3/12 Teaching asst.: Andres Angel Section 03: TTh 11:00a - 11:50a Room GESB124 Section 12: TTh 1:15p - 2:05p Room Educ313 Office hours: MW 2:30p - 4:00p Room 380-380T

Each student must select one section for the lecture via Axess and one section for the discussion via Coursework. Please note that the lecture you select will limit the choices of discussion available to you; use the rows of the chart above to determine the discussions that correspond to each lecture. (The sections formerly numbered 06 and 09 have been cancelled.)

The first day of class is Wednesday January 9. There will be no class on Monday January 21 (MLK day) and Monday Februay 18 (President's day). The drop deadline is February 3.

Statistics for the final: average 107.6/160; standard deviation 19.0

There will be weekly homework, two midterm exams and one final exam. Grading: homework 15%, first midterm 20%, second midterm 25%, final 40%. The lowest grade on the homework will be dropped.

Exams Rescheduling arrangements must be made at least 5 days in advance if you have a course conflict with either midterm. The first midterm will be on Th Jan 31 from 7p to 9p, in rooms 380C, 380X, 380Y, 380W. The second midterm will be on Tu Feb 26 from 7p to 9p, in the Cubberly auditorium. The final will be on Monday March 17 from 7p to 10p in the Annenberg auditorium; the exam must be taken at this time. Homework Assignments are usually posted each Tuesday and due to your TA the following Tuesday at 4PM (see exact dates on the right when in doubt). No late copies will be accepted. You can only receive credit for work turned in to your section leader, as you designate through Coursework. It is okay to discuss the homework with others, but you need to work by yourself on the final copy you'll turn in.

Homework 1 — Due Jan 22 — Solution set Homework 2 — Due Jan 29 — Solution set Midterm 1 — Jan31 7p - 9p — Solution set Homework 3 — Due Feb 5 — Solution set Homework 4 — Due Feb 12 — Solution set Homework 5 — Due Feb 19 — Solution set Homework 6 — Due Feb 28 — Solution set Midterm 2 — Feb26 7p - 9p — Solution set Homework 7 — Due March 4 — Solution set Homework 8 — Due March 11 — Solution set

We kindly ask that you complete an online course evaluation at the end of the term, via Axess. Your opinion is very important to us!

Formula sheets that will accompany the handout of the final exam.

Formula sheets that will accompany the handout of the second midterm.

Handout on probability, including the material seen in class and some exercises seen in section.

Formula sheets that will accompany the handout of the first midterm (no need to bring them with you.)

Practice midterms and final exams:

• Midterm 1: Winter 2005, Winter 2006, Winter 2006 solutions, Fall 2006 solutions, Winter 2007 solutions, Fall 2007.
• Midterm 2: Winter 2006, Fall 2006 solutions, Winter 2007 solutions, Fall 2007.
• Final: An old practice final exam and its solution. This practice final was written when the course was taught from a different textbook. Essentially the material covered is still the same, so this old final is still a valid guide. Also available: Winter 2006, Winter 2007.

Confused about the material? Your first resource should be the office hours offered by the teaching assistants and the instructors. Office hours are also a good time to give us feedback on the class. If you prefer to make anonymous comments, please leave a note in the instructor's mailbox.

Please write neat and complete solutions to the problem sets. "Neat" means well structured, not only esthetically, but also logically. "Complete" means that the grader will need to see a sufficient amount of explanations and details to give you full credit, even if the question only asks for a numerical answer.

The Center for teaching and learning offers free walk-in tutoring and one-on-one appointments for students in the 50's sequence. Follow this link for times and locations. "The tutors do offer a different sort of help than TAs might. Our tutors are undergraduates who have been trained to ask questions that lead students to come upon solutions on their own. The tutors have succeeded in the class in the past."

The Stanford University Mathematics Organization (SUMO) offers free walk-in tutoring for students in the 50's sequence. Tutoring is available on Mondays 7:15 - 10:15 and Wednesdays 6:15 - 10:15 p.m. in room 380-381T of the math building.