Course description: Vector calculus, calculus of functions of several variables, partial derivatives, directional derivatives, gradient, multiple integration, line integrals, Stokes' theorems. Prerequisite: MATH 152 or equivalent.

Textbook: Calculus: Early Vectors, preliminary edition, by Stewart et al, published by Brooks/Cole.
Instructor: David Kerr
Office: Milner 121
Email: kerr math tamu edu
Office hours: MW 10:00-11:30
Lectures: MWF 12:40-1:30, Heldenfels 113
Exams
Exam 1: in class Feb. 20, covers 11.1-11.5, 12.1-12.6
• Exam 1 practice
• Previous Exam 1 (Answers: 1(d); 2(b); 3(c); 4(b); 5(e); 6(a); 7(e); 8(c); 9a. x=(y+3)/2=z+2; 9b. x=t, y=2t, z=t, for example; 10. 3.02; 11. approach from the x and y directions separately)
• Exam 1 answers: 1(e); 2(e); 3(c); 4(a); 5(a); 6(b); 7(a); 8(d); 9. 2ex+ey-z=2e; 10. 36+4/9, 11. approach (0,0) along the lines y=0 and y=x, for example
Exam 2: in class Mar. 26, covers 12.7, 13.1-13.6, 13.8
• Exam 2 practice
• Previous Exam 2 (Answers: 1(b); 2(c); 3(a); 4(c); 5(a); 6(c); 7(d); 8(b); 9. abs. max. e4, abs. min. e-5; 10a. pi4 + 4pi3 + 6pi2; 10b. 3(pi4 + 4pi3 + 6pi2); 11. (1/2,1/4))
• Exam 2 answers: 1(c); 2(c); 3(a); 4(c); 5(b); 6(d); 7(d); 8(b); 9. abs. max. 1, abs. min. -3; 10. 680/21, 11. pi3/4
Final exam: in class, date and time here, covers 13.9, 13.10, 14.1-14.9
• Final exam practice
• Previous final exam (Answers: 1(b); 2(a); 3(d); 4(e); 5(c); 6(b); 7(e); 8(b); 9a. curl(F)=-xcos(y)k, div(F)=sin(y)+ey+4z3; 9b. curl(F)=(z+2x)i+(-2z+x)k, div(F)=0; 10. 8; 11. 4pi; 12. -16pi; 13. 0)
Assignments
Assignment #1 (due January 30)
• 11.1:  24, 46
• 11.2:  8, 10, 30, 34, 46
• 11.3:  8, 12, 20, 24
• 11.4:  8, 14
Assignment #2 (due February 6)
• 11.4:  16, 22, 34, 44, 54
• 11.5:  12, 26, 30
• 12.1:  12, 18, 24, 36, 40, 44
Assignment #3 (due February 13)
• 12.2:  4, 8, 14, 36, 44
• 12.3:  4, 6, 12, 20, 22, 68, 70, 76(a,c,f), 80
• 12.4:  2, 14, 32
• 12.5:  2, 6
Assignment #4 (due February 27)
• 12.5:  10, 16, 20, 36, 38
• 12.6:  4, 8, 10, 20, 36
• 12.7:  4, 8, 14, 30, 36, 40, 48
• 13.1:  4
Assignment #5 (due March 5)
• 13.2:  8, 12, 16, 20, 28
• 13.3:  4, 12, 20, 26, 40
• 13.4:  12, 16, 26, 42, 52
Assignment #6 (due March 19)
• 13.5:  4, 8, 14, 18
• 13.6:  2, 8, 18, 22
• 13.8:  4, 10, 12, 20
Assignment #7 (due April 2)
• 13.9:  4, 10, 16, 22, 62
• 13.10:  6, 16, 18, 20
• 14.1:  24
• 14.2:  6, 10, 18, 30, 38
Assignment #8 (due April 9)
• 14.3:  2, 4, 6, 12, 14, 22
• 14.4:  8, 14, 18, 22
• 14.5:  4, 6
Assignment #9 (due April 16)
• 14.5:  14, 16, 18
• 14.6:  6, 20, 22
• 14.7:  4, 10, 14, 18
Assignment #10 (due April 23)
• 14.7:  22, 36
• 14.8:  2, 10, 14
• 14.9:  4, 6, 8, 10, 12
MATH 251 Engineering Mathematics III (Section 505)
Spring 2008