Summer Academy 2015 Course Syllabus

**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.

- To register your clicker via Ted, follow the
**i>clicker Remote Registration**link from the**Tools**page.

**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.

- Use clean, white paper (preferably ruled) that is not torn from a spiral notebook.
- Write your name clearly on the front page of your completed assignment.
- Write clearly and legibly.
- Clearly number each solution and present them in numerical order.

**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.

- 15% Homework, 20% Midterm Exam 1, 20% Midterm Exam 2, 45% Final Exam
- 15% Homework, 20% Best Midterm Exam, 65% Final Exam

**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:

- Return your homework or exam immediately to your TA. Regrade requests will not be considered once the homework or exam leaves the room.
- If you disagree with the TA's answer to your regrade request, you may ask for the instructor to review it. In order to do this, you must:
- Return your homework or exam immediately to your TA and ask that they forward it to the instructor. Instructor review requests will not be considered once the homework or exam leaves the room.

- Retrieve your homework or exam during discussion section or arrange to pick it up from your TA within one week after it was returned. In order to be considered, regrade requests must be submitted within one week after being returned in section.

**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.