Course: Math 20E
Credit Hours: 4
Prerequisite: Math 20C with a grade of C– or better, or Math 21C with a grade of C– or better, or Math 31BH 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. Gauss' theorem. Conservative fields
Textbook: Vector Calculus, Fifth Edition, by Jerrold Marsden and Anthony Tromba; published by W. H. Freeman and Company; 2003
Subject Material: We will cover parts of chapters 1, 2, 3, 4, 5, 6, 7, 8 of the text. See the homework page for a complete listing of sections we will cover.
Calculators: A graphing calculator (preferably a TI-83 or something similar) is recommended as a helpful learning tool. Note: The use of calculators will not be permitted during exams.
Homework: Homework will be assigned on the course homework page and should be completed by the indicated due date.   Your completed homework assignments should be submitted by the due time into the homework dropbox (located on the sixth floor of AP&M) labeled 20E and your TA’s name. Your worst homework score will be dropped. Before you submit, make sure to staple your work and have your name, ID number and section number written clearly on top of the front page. Late homework will not be accepted.
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.
Midterm Exams: There will be two (2) midterm exams given on Week 4 and Week 8s. (See also the course calendar). You may bring one 8.5 by 11 inch handwritten sheet of notes with you to each midterm exam. There will be no makeup exams. No calculators are allowed during the exams.
Final Exam: The final examination will be held at the following date and time.
Regrades: Midterm exams will be returned in the discussion sections. If you wish to have your exam regraded, you must observe the following rules:
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:
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.