Math 20E: Vector Calculus

Lectures: MWF 3-3:50 p.m. in Patrick J. Ledden Auditorium
Instructor:   email: okikiolu@math.ucsd.edu   Office Hours: M 4:00-4:50pm in AP&M 7426
Section: Th. 2, 3, 4, 5, 6, 7pm in Solis 109. Please attend your registered Section unless you have permission from the TA;
Teaching Assistants: Aaron Wong,   Chris Tiee,  emails: awong@math.ucsd.edu,   ctiee@math.ucsd.edu.
TA Office Hours: Tu 11-12 and 4-5 in AP&M 5301.       Tu 2-4, W 1-2, F 1-2   in AP&M 2301.

Text:   Marsden and Tromba, Vector Calculus,   Freeman 2004  (Follow the link for more study material.)
Other texts:   Many multivariable calculus texts, e.g. Stewart Calculus: Early Transcendentals, Brooks/Cole 2003, contain an easy introduction to vector calculus.     Until recently, the text Davis, Snider, Vector Analysis, Quant Systems 1995, was used for 20E.   A popular introduction from the physics perspective is Shey, Div, grad, curl and all that Norton 2005.     The text Colley, Vector Calculus Prentice Hall 2002, is similar to Marsden-Tromba.

Homework: Assignments are due in Section.   Solutions will be posted here .
Exams: Bring student identification. No calculators. No books. No notes. One page of helpful formulas will be printed on the exam.
Midterm 1: Monday, February 6.   Peterson Hall, 108.
Midterm 2: Monday, March 6, Peterson Hall, 108.
Final: Wednesday, March 22, 3-6pm.  Peterson 108.
Grading: will be on a curve.   Homework: 10%,   2 midterm exams: 20% each,   final exam: 50%.
(The lowest homework score will not be counted. Missed exams will count zero. No makeup exams. No late homework.)
Exam pickup proceedure: Be prepared to review the exam for 10 minutes with no pencil or pen. After this time you need to return the test directly to the TA if you think there has been a grading mistake. Anyone who asks for a mistake correction will have a regrade of the whole test. Your resulting grade after a regrade could be higher or lower if grading errors are found.

Note: Only the exams from Winter 05 are based on the current textbook and syllabus.
Practice Midterm 1:   Midterm 1-Winter 05    Midterm 1-Spring 04    Midterm 1-Winter 03    Midterm 1-Fall 98
Practice Midterm 2:   Midterm 2-Winter 05    Midterm 2-Spring 04    Midterm 2-Spring 00    Midterm 2-Fall 98    Midterm 2-Spring 98    Midterm 2-Winter 96
Practice Final:   Final-Spring 00    Final-Winter 99    Final-Fall 98
Midterm 1 Solutions:  Solutions M1-Winter 05    Solutions M1-Spring 04    Solutions M1-Winter 03    Solutions M1-Fall 98
Midterm 2 Solutions: Solutions M2-Winter 05    Solutions M2-Spring 04    Solutions M2-Spring 00    Solutions M2-Fall 98    Solutions M2-Winter 96
Final Solutions:   Selected Solutions F-Spring 00    Solutions F-Winter 99    Solutions F-Fall 98

Approximate Lecture Schedule (may be updated during the course): The day after each lecture, I might write a lecture summary which can be obtained by clicking the relevant section number.

Homework Assignments (tentative):

HW #1    Due 1/19   
1.1:16,    1.2:8,14,23,    1.3:6,7,12,16a ,    1.5:7,18,    review ch 1:29,

Because of the text book shortage, here are assignments 1 and 2.

HW #2   Due 1/19   
1.4:4ab,    2.1:6,11,21,28,    2.3:6a,8cd,12c,18,20,    2.4:8,18,    2.5:4,5c,15,

HW #3   Due 1/26   
2.5:8,10,14,    2.6:3c,4a,6a,9,12,24b,    3.2:2,6,

HW #4   Due 2/2   
4.2::2,10,(11 assigned, but will not be graded),    4.3:3,4,9,14,20,    4.4:4,5,8,18,20,26,

HW #5   Due 2/9   
5.1:1a,4,    5.2:2d,4,    5.3:2f,6,    5.4:2b,8,    5.5:4,11,

HW #6   Due 2/16   
6.1:2,3,4,10,    6.2:1,4a,5,8,9,19,29,    7.1:2a,4a,    7.2:1c,2a,3,12*,15*,18*,   (Problems marked * will not be graded on this assignment.)

HW #7   Due 2/23   
7.2:12,15,18,    7.3:2,5,12,14,    7.4:1,4,6,11,    7.5:2,4,8,10,

HW #8   Due 3/2   
By popular request, 7.5 problems 2,4,8,10 are due 3/2.
7.5:6,15,    7.6:2,3,5,7,10,18,

HW #9   Due 3/9   
8.1:1,3d,4,9,12,13,14,20,    

HW #10   Due 3/16   
8.2:3,6,10,23,    8.3:4,7,10,12,13ac,20,24,    8.4:2,3,5a,8,