Course:  Math 20E

Title:  Vector Calculus

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 4, 5, 6, 7, and 8 of the text.  For a more detailed list of chapter sections, see the homework 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.

Calculators:  You may use any handheld calculator (but not a computer, tablet, phone, or any device with network capability) during exams; however, you will be expected to show all relevant computational steps: No credit will be given for unsupported answers gotten directly from a calculator.

Homework:  Homework will be assigned on the course homework page and and will be collected during the lecture on the due day. A representative sample of the exercises will be graded.  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 (preferably ruled) that is not torn from a spiral notebook.
2. Write your name 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 home page for the dates of the midterm exams.  You may bring one 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 homepage. 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 handwritten sheet of notes with you to the final examination; no other notes (or books) or calculators will be allowed.

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:

• 20% Homework,  20% Midterm Exam 1,  20% Midterm Exam 2,  40% Final Exam
• 20% Homework,  20% Best Midterm Exam,  60% Final Exam

Regrade Policy:  

• You will be able to request a regrade directly from your TA for a specified window of time.  Be sure to make your request within the specified window of time; no regrade requests will be accepted after the deadline.
• Homework will be returned in the discussion sections.   If you believe there might be an error in the grading and wish to have your homework regraded, you must observe the following rules:
  1. Return your homework immediately to your TA.   Regrade requests will not be considered once the homework paper leaves the room.
  2. Retrieve your homework during discussion section or arrange to pick it up from your TA within three class days after it was made available for pickup (i.e., returned) in section.   In order to be considered, regrade requests must be submitted within three class days after being returned in section.

Academic Dishonesty:  Academic Integrity is highly valued at UCSD and academic dishonesty is considered a serious offense. Students involved in an academic integrity violation will face an administrative sanction which may include suspension or, in very serious cases, expulsion from the university. Your integrity has great value: Cultivate and protect your academic integrity. For more about academic integrity and its value, visit the UCSD Academic Integrity Website.