Vector Calculus
Math 241, Spring 1997
Professor
Robert Sharpley
sharpley@math.sc.edu
Department of Mathematics
University of South Carolina
Table of Contents
Math 241 Info and Syllabus -
(PostScript file)
Homework Assignments
Homework #2 (section 14.2) - due Friday 1/24/97
page 643: 1,3,6,8,13,17(a),25, 31,33,45
Homework #3 (section 14.3) - due Wednesday 1/29/97
page 649: 2,3,5,8,9,11,19
Homework #4 (section 14.4) - due Wednesday 2/5/97
page 654: 1,6,9,13,24,25
page 661: 3,5,9 [Extra Credit: 15,17,21]
page 667: 1,3,7,13
Homework #5 (section 15.1) - due Wednesday 2/12/97
page 682-683: 2, 5, 12, 17, 21, 23, 35
page 687-688: 1, 3, 9, 17, 31, 33, 39
Homework #6 (section 15.3-15.4) - due Friday 2/21/97
page 693-694: 1,5,9,14,15,19,20
page 699-700: 1,3,9,11,14,15
Homework #7 (section 15.6) - due Friday 2/28/97
page 711-712: 1,2,5,7,10,13,16,17,19,21,23.
Homework #8 (sections 15.7,15.5,15.8) - due Wed. 3/5/97
page 717: 1,6,13,15
page 705: 1,7,11,15,17
page 706: 24 [Extra Credit]
page 723: 1,5,7,11 [Extra Credit]
Homework #9 (section 16.1-16.2) - due Wednesday 3/19/97
page 741: 3,5
page 745: 1,4,9,15,18
Homework #10 (section 16.3) - due Friday 3/28/97
page 753: 3,8,15,18,19,21,25,31,33,39[Extra Credit]
Homework #11 (section 16.4) - due Friday 4/4/97
page 758: 5,11,13,15
page 775: 1,5
Homework #12 - due Friday 4/11/97
page 775: 11,17
page 781: 1,5
Extra Credit (50 pts)
Change of Coordinates: Let (x,y)=phi(u,v)= (4u,2u+3v) and let phi^{-1}(R) = [0,1]x[1,2]. First, describe completely the domain R. Second, perform the change of variables to integrate f(x,y)= x-y, over R and evaluate the resulting integral.
Homework #13 (section 16.8) - due Monday 4/14/97
page 781: 7,13,14
If you have any questions, please send e-mail to
sharpley@math.sc.edu
Last modified: 1 April, 1997