**Course:**
Math 20E: 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.

**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.*

**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.

**Calculators:**
A graphing calculator (e.g., TI-83, TI-84, or TI-89) is recommended for homework assignments
and as an aid in learning concepts.
**The use of calculators will NOT be permitted during exams.**

**Homework:** See the homework page for
guidlines, assignments and due dates.
Your homework grade will be based on your best five (5) of seven (7) graded homework assignments.
**Late homework will not be accepted.**

You should make every effort to complete each assigned homework problem. You may seek help during office hours and/or section with any exercises you have difficulty solving. Students are also encouraged to discuss homework with fellow classmates. However, each student is expected to write up his/her own solutions independently.

**Midterm Exams:** There will be two (2) midterm exams.
See the course calendar for specific dates.
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.**

**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) will be allowed.
- No calculators will be allowed during the final examination.

**Regrade Requests:**
Midterm exams will be returned to students in discussion section.
We will attempt to be as fair and accurate as possible in the grading,
however, from time to time, we make mistakes.
If you wish to have the grader take a second look at your exam, please
attach a note explaining your concern and return the exam to your TA.
Regrade requests will not be considered once your exam leaves the
room.

**Grading:**
Your course grade will be determined as the better of the following
weighted averages:

- (15% homework) + (20% midterm I) + (20% midterm II) + (45% final exam)
- (15% homework) + (20% better midterm) + (65% final exam)

A+ |
A |
A- |
B+ |
B |
B- |
C+ |
C |
C- |
D |

97 |
93 |
90 |
87 |
83 |
80 |
77 |
73 |
70 |
60 |

I reserve the right to assign better letter grades than those listed above. Please notice that outside factors, including the need for a certain grade for admission/retention in any academic program, scholarship or transfer credit, graduation requirements or personal desire for a specific grade DO NOT appear in the above calculations, and thus are not considered in any way in the determination of your course grade. Effort, improvement, class attendance and participation will all dramatically improve your grade in the course in that they will allow you to do well on homework, exams, and the final exam. They will NOT, however, actively participate in the calculation of your course grade.

**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.