Multivariable Analysis - Fall 2011

Course Information Handout

Announcements

Our final will be in the Clayton Gym at 8:30 AM on Friday, November 18th.

There will be study sessions on Thursday from noon to 2 PM and 7 - 9:30 PM - check your e-mail for details.

Class Summaries

Date Assignment Description
Wed, 11/9   Review
Thurs, 11/10   Test: Unit 4
Fri, 11/11   Review for final

Unit 1 - Parametrics, Conics, and Polar Equations

HW 1 - Handout - The Cycloid Family of Curves
HW 2 - p 627/24-28, 41; Handout - Parametrics and Conics
HW 3 - p 629/Lab Proj 1-4; p 636/9, 18, 21, 31, 32, 41, 42
HW 4 - p 647/3, 5, 10, 15, 16, 18, 21, 24, 49, 50, 56
HW 5 - p 649/57, 62; p 653/7, 12, 27, 31, 45, 46

Unit 2 - Techniques of Integration; Hyperbolic Trigonometry

HW 6 - p 457/5, 11, 31, 44 (similar to example 6), 47, 51
HW 7 - read 7.2 Trigonometric Integrals p 460-5; p 465/14, 15, 21, 23, 25, 27, 35, 39, 45, 56
HW 8 - p 481/9, 14, 17, 19, 20, 57, 59
HW 9 - Read p 474/Example 1; p 482/21, 25, 29, 31, 32
HW 10 - p 472/15, 16, 19; p 482/45, 48, 50
HW 11 - Read pp 254-9; p 259/3, 7, 9, 12, 31-41 odd, 51
Review - p 488/1-81

Unit 3 - Vectors and Three-Dimensional Geometry

HW 12 - p 769/2, 3, 5, 11, 13, 15, 21-35 odd
HW 13 - p 777/7, 11, 13, 17, 19-31 odd, 37, 39, 41
HW 14 - p 784/5, 9, 11, 19, 23, 31, 34, 36, 37, 45, 46, 54
HW 15 - p 792/3, 4, 7, 8, 13, 15-19, 22
HW 16 - Read p 790-1; p 792/28, 31, 33, 35, 37, 43, 45, 49
HW 17 - p 802/1, 3, 9, 11, 23, 25, 27, 31, 35, 41
HW 18 - p 802/21, 42, 49, 55, 65-67, 69, 71, 73, 76
HW 19 - p 810/5, 7, 11-17 odd, 21-28, 33, 45; Handout: Level Curves
HW 20 - Handout: Example Math Contest

Unit 4 - Vector Functions and their Derivatives

HW 21 - p 822/1, 4, 9, 11, 14, 19-25, 29, 37, 39, 41, 42
HW 22 - p 828/3-5, 7, 23, 24, 34, 37, 39, 47, 51
HW 23 - p 847/5, 8, 15, 17, 19, 33, 35, 41
HW 24 - p 836/3, 4, 13, 14; show that for your answer to #14, |r'(s)| = 1
HW 25 - p 836/15, 16
HW 26 - p 836/21-23, 25, 40, 42; Handout: Osculating Circles in R^2
HW 27 - p 837/43-46, 49, 60
HW 28 - p 866/5, 17, 21, 25, 26, 30, 74
HW 29 - p 866/31, 32, 34, 35, 38, 49, 55-60
HW 30 - p 877/5, 7, 9, 14, 17-19, 23, 24

Quizzes and Tests

Test Mon, 9/12 Unit 1
Test Mon, 9/26 Unit 2
Test Wed, 10/26 Unit 3
Test Thurs, 11/10 Unit 4