Syllabus

Course Description

Change of variable in multiple integrals, Jacobian, Line integrals, Green’s theorem. Vector fields, gradient fields, divergence, curl. Spherical/cylindrical coordinates. Surface integrals, Stoke’s theorem. Gauss’ theorem. Conservative fields. 

Prerequisites: all require a grade of C– or better 

• MATH 18 (used to be MATH 20F) or MATH 31AH and 

• MATH 20C or MATH 31BH. 

Textbook: Vector Calculus, 6th edition by Jerrold E. Marsden and Anthony Tromba, published by W. H. Freeman and Company; 2012.

• We shall cover parts of chapters 2, 3, 4, 5, 6, 7, and 8 of this 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 also 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 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, 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.

Quizzes (25% of your course grade)

Throughout this quarter, there will be a total of seven (7) quizzes. Please see the calendar for further details. Your quiz score will be based on the best five (5) out of seven. The quizzes are remote and open resources but you are limited to only the course materials discussed in textbook, lectures, and discussions. You have to complete the quiz on your own. You must not have your quiz questions answered by a third party.  Any reference outside the course materials must be cited appropriately within your paper. 

For the quizzes, here is what we shall be doing, starting from Week 2:

• At 4:00pm (Pacific Time) Friday of a non-midterm weekend, the quiz will be released on Gradescope for everyone and it will stay available there for 48 hours (4pm Sunday). 

• You can start the assignment at any time within this 24-hour window. However, once you open the assignment on Gradescope, then you will have about 1.5 to 2 hours to complete the exam and upload your work to Gradescope. Ideally, you should start the quiz at least two hours before the deadline to have the entire time period available to you.

• The quizzes should be done within roughly 1 to 1.5 hours (include checking your work). This means you will have about half an hour to work on the submission process. Please make sure you have a stable Internet connection while doing the quizzes.

• Important: submission will not be accepted after the time expires or after the due date. Failure to submit the quiz on Gradescope by the due date (or before the timer runs out) means you will be assigned a score of zero (0) for that assignment.

• Please tag the answer pages on Gradescope appropriately or your paper may not be graded. For quiz submission, you may do any of the following methods:

  • Download the template from Gradescope to a tablet, write your answer electronically, save and upload as a pdf file

  • Print the template from Gradescope, write your answer directly on the hard-copy pages, scan and upload.

  • Write your answer on separate blank papers, then scan and upload. However, if you are using this method, then please make sure to have different problems on different pages and clearly label the question number.

Academic Honesty and Attendance Policy 

• As a student of UC San Diego, you have agreed to abide by the university’s academic honesty policy. Academic integrity violations will be taken seriously and reported immediately. Violation of such policy may result in failing the class, suspension, and even expulsion from the university. Further information regarding Academic Integrity policy are available under the "Links" button above. You should make yourself aware of what is and is not acceptable by reading this document. Ignorance of the rules will not excuse you from any violations. 

Key facts about academic integrity related to our course:

• You must work alone on the exams. You may not post the exam questions online where they can be answered by someone other than the instructor or TA. 

• You may consult other students, the instructor, or TAs while formulating your ideas on homework problems. However, you must complete your final homework solutions by yourself, based on your own understanding. 

• You may not copy or paraphrase solutions from another student or from any other source. If you consult any sources other than your textbook or discuss the problems with anyone other than the instructor or TA, you must acknowledge this on your homework/exam.

• You may not post your homework answers online where they could be found by future students of this course. If your instructor posts homework solutions, you may not show those solutions to future students of this course, or post them online.