Math 20E: Vector Calculus

Course:  Math 20E

Title:  Vector Calculus

Instructor:  Daniel J Hoff

Credit Hours:  4

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.

Tips for Success:  Mathematics can be very frustrating if you are lost and confused, but very fun if you stay on top of things. In this 5-week summer session we will cover the same material normally covered in a 10-week course. As such, you should expect to spend twice as much time each week working for this course as you would for the same course during a 10-week term. If you spend enough time solving problems and studying your notes, you will succeed. Consider skimming over the sections listed on the course calender before each lecture. You will be surprised the difference that a fifteen minute head start makes in how much you understand during a lecture.

Homework:  Homework will be assigned on the course homework page and is to be turned in to the homework boxes in the basement of APM (map) by the specified time and date. Late homework will not be accepted. A representative sample of the exercises will be graded and the remaining exercises will be graded for completion. Your homework grade will be based on your best four (4) of five (5) homework assignments. You are strongly encouraged to discuss the homework with other students in the class; however, the assignment you turn in must be your own work.  Please observe the following neatness guidelines for homework that you turn in to be graded; homework not conforming to these guidelines may not receive full credit.

1. Use clean, white paper (preferably ruled) that is not torn from a spiral notebook.
2. Write your name, PID, and discussion section (e.g. A02) clearly on the front page of your completed assignment.
3. Write clearly and legibly.
4. Clearly number each solution and present them in numerical order.

Midterm Exams:  There will be two midterm exams. See the course calendar for the dates of the midterm exams. For most students, completing and understanding the homework problems is the single most important way to prepare for the exams.  You may bring one (two-sided) 8.5 by 11 inch handwritten 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. It is your responsibility to ensure that you do not have a schedule conflict involving the final examination. You may bring one (two-sided) 8.5 by 11 inch handwritten sheet of notes with you to the final examination; no other notes (or books) will be allowed.

Electronic Devices:  The use of electronic devices (e.g. phones, tablets, calculators, computers, etc.) will not be permitted during exams. You may use these devices for homework, but they will not be necessary to complete the assignments.

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:

• 15% Homework,  20% Midterm Exam 1,  20% Midterm Exam 2,  45% Final Exam
• 15% Homework,  20% Best Midterm Exam,  65% Final Exam

Regrades:  Homework and midterm exams will be returned in the discussion sections. If you wish to have your homework or exam regraded, you must observe the following rules:

• Return your homework or exam immediately to your TA. Regrade requests will not be considered once the homework or exam leaves the room.
• If you disagree with the TA's answer to your regrade request, you may ask for the instructor to review it. In order to do this, you must:
  • Return your homework or exam immediately to your TA and ask that they forward it to the instructor. Instructor review requests will not be considered once the homework or exam leaves the room.
• If you do not retrieve your graded materials during discussion section, you must arrange to pick them up from your TA within one week after they were returned in order for any regrade request to be considered.

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.