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Math 20E,  Vector Calculus
Summer Session II 2014 Course Syllabus

Updated 8/4/14

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 2, 3, 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.

Clickers:  In order to facilitate communication, we will be using the iClicker classroom response system. Clicker use will be optional; however, students who participate on at least 13 days will have 2 points extra credit added to their cumulative average, and students who participate on at least 11 days will have 1 point extra credit added to their cumulative average.

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 each each Thursday. 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.
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 course calendar 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 calendar. 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:

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. In addition,  you must pass the final examination in order to pass the course. Note: Since there are no makeup exams, if you miss an 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 returned in the discussion sections. If you wish to have your homework or exam regraded, you must observe the following rules:

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.


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