# Homework Assignments for Math 180

Textbook: Edwards & Penney, Multivariable Calculus, 6-th edition
Assignment #1, due 09/15/15
12.1: 23, 34 (vectors in the plane)
12.2: 46, 49, 62 (vectors in 3-dimensions)
12.3: 15, 18, 20 (cross product)
Assignment #2, due 09/22/15
12.4: 6, 13, 18, 32, 37, 40 (lines, planes)
12.5: 17, 28, 35, 39, 62 (curves, motion)
Hint for #62: Show that n = r x r' is constant and then show that n.r is zero.
12.6: 4, 35, 40, 45 (curvature, acceleration)
Wednesday, September 23, last day to add a course without a fee (5:00 p.m. deadline. 24 hr extension due to Rosh Hashanah).
Assignment #3, due 09/29/15
13.2: 36, 37, 41, 48 (functions of several variables)
13.4: 17, 32, 35 (partial derivatives)
13.5: 7, 10, 14, 24, 25, 28, 30, 33, 38, 44, 47 (max/min problems)
Tuesday, October 6, last day to add a course (includes late fee), change from audit to credit, or change a grade option declaration (5:00 p.m. deadline).
Assignment #4, due 10/06/15
13.7: 3, 13, 20, 27, 32, 39, 40, 47, 48 (chain rule)
13.8: 5, 16, 28, 34, 46, 48 (directional derivative, gradient)
Monday, October 12, Fall Weekend Holiday. No University exercises.
Assignment #5, due 10/13/15
13.9: 11, 18, 35, 36, 38, 39, 41, 42, 60 (Lagrange multipliers)
13.10: 10, 22, 26 - 28 (2-nd derivative test)
Friday, October 16, Mid-semester deadline. Last day to change from credit to audit in a course (5:00 p.m. deadline).
Assignment #6, due 10/20/15
14.1: 12 (double integrals)
14.2: 11, 20-22, 30-32, 34 (double integrals over general regions)
Exam #1, Thursday, October 22, 7:00 - 8:30 p.m., covers assignments #1 - #5.
Exam rooms: Sections 1 and 2 are in Metcalf Auditorium and Section 3 is in Barus-Holley 168
Assignment #7, due 10/27/15
14.3: 9, 24, 28 (area and volume by double integration)
14.4: 6, 8, 15-17, 22, 29, 31 (polar coordinates)
14.5: 13, 20 (applications of double integrals)
Assignment #8, due 11/03/15
14.6: 12, 13, 16, 20 (triple integrals)
Problem Set #1: 1, 2 (integration on tetrahedrons)
Solutions to Problem Set #1
12.8: 40, 43 (cylindrical, spherical coords)
14.7: 10, 14, 15, 25, 29, 30, 33 (integration in cylindrical, spherical coords)
Assignment #9, due 11/10/15
14.8: 8, 9, 11 (surface area)
14.9: 10-12, 15 (change of variable)
15.1: 12, 17, 23 (grad, div, curl)
15.2: 9, 13, 17, 19 (line integrals)
Assignment #10, due 11/17/15
15.3: 13, 14, 24, 29 (independence of path)
15.4: 10, 11, 14, 15, 20, 24, 29, 33, 34 (Green's Theorem)
Exam #2, Thursday, November 19, 7:00 - 8:30 p.m., covers assignments #6 - #9.
Exam rooms: Sections 1 and 2 are in Metcalf Auditorium and Section 3 is in Barus-Holley 168
Assignment #11, due 11/24/15
15.5: 4, 11, 13, 20, 24 (surface integrals)
Problem Set #2: 1 (another surface integral)
Solutions to Problem Set #2
15.6: 5, 9 (Divergence Theorem)
Wednesday, November 25 - 29, Thanksgiving recess beginning Wednesday at noon.
Assignment #12, due 12/01/15
15.6: 11, 14, 16, 18 (Divergence Theorem)
Problem Set #3: 1, 2 (applications of Divergence Theorem)
Solutions to Problem Set #3
Assignment #13, due 12/08/15
15.7: 4, 5, 7, 8, 13, 14, 16-20 (Stokes' Theorem)
Problem Set #4: 1, 2 (applications of Stokes' Theorem)
Solutions to Problem Set #4
15.Misc: 19, 23, 24 (Miscellaneous)
Friday, December 11, last class.
Final Exam, Friday, December 18, 2:00 - 5:00 p.m., MacMillan Hall 117.

Future assignments are tentative and may be revised before the due date.