Prerequisite: Math 20C (or Math 21C) or equivalent with a grade of C- or better

Catalog Description: Change of variable in multiple integrals, Jacobian, Line integrals, Green's theorem. Vector fields, gradient fields, divergence, curl. Spherical/cylindrical coordinates. Taylor series in several variables. Surface integrals, Stoke's theorem. Conservative fields.

Textbook: Vector Calculus, sixth edition, by Jerrold E. Marsden and Anthony J. Tromba; published by W. H. Freeman and Company; 2012

Subject Material: We will cover parts of chapters 2, 3, 4, 5, 6, 7, and 8 of the text.

Lecture: Attending the lecture is a fundamental part of the course; you are responsible for material presented in the lecture whether or not it is discussed in the textbook. You should expect questions on the exams that will test your understanding of concepts discussed in the lecture.

Reading: Reading the sections of the textbook corresponding to the assigned homework exercises is considered part of the homework assignment; you are responsible for material in the assigned reading whether or not it is discussed in the lecture. You should expect questions on the exams that will test your understanding of concepts addressed in the reading and assigned homework exercises.

Electronic Computing Devices: Graphing calculators (such as GeoGebra) and computer programs (or online computing websites such as Wolfram|Alpha) can be very helpful when working through your homework. However, a calculator/computer should be used as an aid in the learning concepts, not just as a means of computation. You should not hesitate use these devices when working on math problems at home (and this is even encouraged), but always keep in mind that you will not be allowed access to any electronic computing devices during exams. Of course, this also means that you will not be asked to solve problems on exams that require the aid of an electronic computing device.

Homework: Homework will be assigned through Gradescope. Homework will be due on Mondays starting from week 2. The homework will in general consist of three parts:

1. One or two questions to be handed in, which you are expected to write up nicely. (This is the only homework you will be graded on.)

2. Some questions that you are expected to attempt before discussion sections, so that you can spend the discussion section time talking about solutions to these.

3. A bonus question for anyone interested.

You should expect questions on the exams that will test your understanding of concepts addressed in the first two types of questions, but not the third type.

Please observe the following neatness guidelines for homework that you turn in to be graded; homework not conforming to these guidelines will not receive full credit and may not be graded at all.

1. Use clean, white paper that is not torn from a spiral notebook.

2. Write your Name, PID, and Section clearly on the front page of your completed assignment.

3. Write clearly and legibly.

4. Clearly number each solution.

Your homework grade will be based on your best five (5) of seven (7) graded homework assignments. Homework after the late deadline will not be accepted. You should make every effort to complete the homework assignments and seek help with problems you have not been able to solve.

Midterm Exams: There will be two midterm exams. Midterm 1 will be on October 21 and Midterm 2 will be on November 18 (see the course calendar). You may bring one 8.5 by 11 inch sheet of notes with you to each midterm exam; no other notes (or books) will be allowed. There will be no makeup exams.

Final Examination: The final examination will be held at the date and time stated in the course calendar (December 8, 11.30am-2.30pm). It is your responsibility to ensure that you do not have a schedule conflict involving the final examination; you should not enroll in this class if you cannot take the final examination at its scheduled time. You may bring one 8.5 by 11 inch sheet of notes with you to the final examination; no other notes (or books) or calculators will be allowed.

Extra Credit: There will be 1% extra credit to all students, if at least 80% fill out the CAPEs at the end of the quarter. 

Grading: Your course grade will be determined by your cumulative average at the end of the term and will be based on the following scale: