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 discussion of conceptual ideas, we will be using the iClicker classroom response system. Clicker use will be optional; however, students who miss at most 2 days will have 2 points extra credit added to their cumulative average. Students who miss more than 2 days will earn extra credit based on the percentage of the remaining days they participated.
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 Friday (Thursday in the last week). 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.
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:
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.