Welcome to Math 261

Calculus III

Spring 2008


Tutor List

Important Information

Course Information

Homework and Quizzes

There will be 12 homework grades, each 8 points. The overall grade will be (1) 75 points if the HW total exceeds 75 or (2) the HW total if it is less than 75. As an example of what combines to make a homework grade, note that HW2 will consist of those problems assigned on Jan 25,28,29,and 30. LATE HOMEWORK IS NOT ACCEPTED. There are 15 quizzes planned for either Tuesday or Wednesday of each week. Most often a quiz is on Wednesday. The exceptions are for the three weeks when there are exams and the last week of classes. Each quiz is worth 7 points. The overall grade will be (1) 75 points if the Quiz total exceeds 75 or (2) the Quiz total if it is less than 75.


Note: Free tutoring is available from the College of Natural Sciences tutorial hall in Ingersoll Hall Basement during regulary sheduled class weeks. Times are: Sunday-Thursday, 5-10. For time available during final exam week, consult the College of Natural Sciences' web page www.natsci.colostate.edu.

Class Schedule

Week 1

Tuesday, Jan 22
10.1 Conic Sections #5-8,15,21,29,39,42,43
Wednesday, Jan 23
12.1 Three Dimensional Coordinate System #3,7,15,24,27,31,37,41,47,52; 12.2 Vectors #7,11,13,18,21
Friday, Jan 25
12.2 Vectors #26,31,33,37,39,43,46; HW1 Answers; Quiz 1 Answers

Week 2

Monday, Jan 28
12.3 The Dot Product #3,7,16,19,(Read 21-26),27,31,(Read 33-34),36,41,43,48,53
Tuesday, Jan 29
12.4 The Cross Product #7,14,17,22,23,27,37,39
12.5 Lines and Planes in Space #1,5,10,15,19
Wednesday, Jan 30
12.5 Lines and Planes in Space #23,24,29,35,38,42,47,51,56,57,59,61; Quiz 2 Answers
Friday, Feb 1
12.6 Cylinders and Quadric Surfaces #1-12,15,19,23,27,33,37,46,55,68; HW2 Answers

Week 3

Monday, Feb 4
13.1 Vector Functions #7,11,16,19,23,28,35,39,41,42,(Read 43-63)
Tuesday, Feb 5
13.3 Arc Length and the Unit Tangent Vector #5,9,11,12,15
Wednesday, Feb 6
13.4 Curvature and the Unit Normal Vector #3,7,9,12,19; Quiz 3 Answers
Friday, Feb 8
13.5 The Unit Binormal Vector #5,6,13,15,23,(Read 25-28); HW3 Answers

Week 4

Monday, Feb 11
14.1 Functions of Several Variables #1,5,9,11,13-18,27,30,35,41
Tuesday, Feb 12
14.2 Limits and Continuity in Higher Dimensions #9,13,15,19,35,41; Quiz 4 Answers
Alt Req for Exam1
Wednesday, Feb 13
Review;
Thursday, Feb 14
Exam 1 Answers

Week 5

Monday, Feb 18
14.3 Partial Derivatives #5,12,15,25,32,37,44
Tuesday, Feb 19
14.3 Partial Derivatives #49,57,58,63
Wednesday, Feb 20
14.4 The Chain Rule #6,7,9,12,19,20,26,31; Quiz 5 Answers
Friday, Feb 22
14.4 The Chain Rule #36,37; HW4 Answers

Week 6

Monday, Feb 25
14.5 Directional Derivatives #3,6,9,10,15,18,21,25,27
Tuesday, Feb 26
14.6 Tangent Planes and Differentials #5,8,15,17,24,27,29,31
Wednesday, Feb 27
14.7 Extrem Values and Saddle Points #11,17,18; Quiz 6 Answers
Friday, Feb 29
14.7 Extreme Values and Saddle Points #21,23,28; HW5 Answers

Week 7

Monday, Mar 3
14.8 Lagrange Multipliers #7,10,13
Tuesday, Mar 4
14.8 Lagrange Multipliers #23,27;
14.10 Taylor's Formula (Quadratic only, #2,7)
Wednesday, Mar 5
15.1 Double Integrals #7,10; Quiz 7 Answers
Friday, Mar 7
15.1 Double Integrals #13,18,23,36,43,47; HW6 Answers

Week 8

Monday, Mar 10
15.2 Areas, Moments, and Center of Mass #6,7,11,13
Tuesday, Mar 11
15.2 Areas, Moments, and Center of Mass #19,23,(35 center of mass only); Quiz 8 Answers
Alt Req for Exam2
Wednesday, Mar 12
Review;
Thursday, Mar 13
Exam 2 Answers

Week 9

Monday, Mar 24
15.3 Double Integrals in Polar Form #12,13,19,22,25; NOTE: Last Day to W Drop
Tuesday, Mar 25
15.4 Triple Integrals in Rectangular Coordinates #5,13,17
Wednesday, Mar 26
15.4 Triple Integrals in Rectangular Coordinates #25,30,41; Quiz 9 Answers
Friday, Mar 28
15.5 Masses and Moments in Three Dimensions #7a,13; HW7 Answers

Week 10

Monday, Mar 31
15.6 Triple Integrals in Cylindrical and Spherical Coordinates #5,8,11,14,19
Tuesday, Apr 1
15.6 Triple Integrals in Cylindrical and Spherical Coordinates #23,29,34a,43,53,56
Wednesday, Apr 2
15.7 Substitutions in Multiple Integrals #4a,7,11; Quiz 10 Answers
Friday, Apr 4
15.7 Substitution in Multiple Integrals #15,21; HW8 Answers

Week 11

Monday, Apr 7
16.1 Line Integrals #5,6,9,12,19,20; Formulas
Tuesday, Apr 8
16.2 Vector Fields, Work, Circulation, and Flux #5,9,12,15,21
Wednesday, Apr 9
16.2 Vector Fields, Work, Circulation and Flux #26,37; Quiz 11 Answers
Friday, Apr 11
16.3 Path Independence, Potential Functions, and Conservative Fields #5,8,15,16; HW9 Answers

Week 12

Monday, Apr 14
16.3 Path Independence, Potential Functions, and Conservative Fields #20,21,27,30
Tuesday, Apr 15
Quiz 12 Answers; Alt Req for Exam3
Wednesday, Apr 16
Review;
Thursday, Apr 17
Exam 3 Answers

Week 13

Monday, Apr 21
16.4 Green's Theorem in the Plane #5,12,15
Tuesday, Apr 22
16.4 Green's Theorem in the Plane #18,21
Wednesday, Apr 23
16.5 Surface Areas and Surface Integrals #3,9,10,15; Quiz 13 Answers
Friday, Apr 25
16.6 Parameterized Surfaces #5,7,12; HW10 Answers

Week 14

Monday, Apr 28
16.6 Parameterized Surfaces #19,25,27,38
Tuesday, Apr 29
16.7 Stokes' Theorem #4,5,9; Quiz 14 Answers
Wednesday, Apr 30
16.7 Stokes' Theorem #15,16; HW11 Answers
Friday, May 2
16.8 The Divergence Theorem #6b,11,13

Week 15

Monday, May 5
16.8 Divergence Theorem #16; HW12 Answers
Alt Req for FINAL EXAM
Tuesday, May 6
Review for Final; Quiz 15 Answers
Wednesday, May 7
Review for Final
Friday, May 9
Review for Final

FINAL EXAM FRIDAY, MAY 16, 7-9AM

Final Exam Spring 2008 Answers;