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. Gauss' theorem. Conservative fields.
Textbook:
Vector Calculus, sixth edition, by Jerrold E. Marsden and Anthony J. Tromba; published by W. H. Freeman and Company; 2012.
You do not have to purchase a WebAssign online homework code for this course. However, there will be exercise problems posted, for which you may use as good practices.
Subject Material:
We will cover parts of chapters 1, 4, 5, 6, 7, and 8 of the text. For a more detailed list of chapter sections, see the Calendar page.
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.
Homework:
Homework will be assigned on the Homework page and shall be uploaded online to Gradescope. A representative sample of the homework problems will be graded. Your homework grade will be based on your best four (4) of five (5) homework assignments. Late homework 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. See the Calendar page for the dates of the midterm exams. There will be no makeup exams.
Final Examination:
The final examination will be held on Friday September 8, 3:00pm-5:59pm. 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.
Note:
You may bring one 8.5 by 11 inch handwritten sheet of notes with you to each exam; no other notes (or books) or any electronic devices with computation or network functions will be allowed in the exams. Trust your own brain, pens and paper.
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:
A+
A
A-
B+
B
B-
C+
C
C-
97
93
90
87
83
80
77
70
60
We may adjust the scale to be more lenient, but we guarantee that the grade corresponding to a given percentage will not be lower than specified by the above scale. Your cumulative average will be the best of the following two weighted averages.
15% Homework, 20% Best Midterm Exam, 65% Final Exam
In addition, you must pass the final examination in order to pass the course. Note: Since there are no makeup exams, if you miss a midterm exam for any reason then your course grade will be computed with the final exam counting 65% of your weighted average.
Regrades:
Homework and midterm exams will be graded online using Gradescope. If you wish to have your homework or exam regraded, you need to contact the TA. You may submit regrade requests online. If you disagree with the TA's answer to your regrade request, you may ask for the instructor to review it. In order to be considered, regrade requests must be submitted within one week after being returned in section.
Academic Dishonesty:
Academic dishonesty is considered a serious offense at UCSD. Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university. It is in your best interest to maintain your integrity.