MATH 282 Analytic Geometry and Calculus III, Winter, 2006

BULLETIN DESCRIPTION: Study of sequences, series, polar coordinates, parametric equations, and vectors. Prerequisite: MATH 281.

INSTRUCTOR: Dr. Ken Wiggins, 338 KRH, 527-2088

Office Hours: 3 MTu, 2 WTh, 11 F, Other Office hours by appointment

OBJECTIVES: After finishing this course, students should be able solve problems and to organize and effectively communicate ideas involving each of the following:

TEXT: Calculus, 7th, by Larson, Hostetler, and Edwards, 2002, Houghton Mifflin

GRAPHING CALCULATOR: TI-89 or equivalent

ASSESSMENT: All assessment will be based on both the correctness of your results and the quality of your presentation.

Assessment Category

Weights

Homework & quizzes

15%

Three tests

50%

Final examination

35%

Grade

Percent

Grade

Percent

Grade

Percent

Grade

Percent

A

91-100%

B

83-85%

C

70-74%

D

58-61%

A-

89-90%

B-

80-82%

C-

65-69%

D-

55-57%

B+

86-88%

C+

75-79%

D+

62-64%

F

0-54%

HOMEWORK: The surest way to succeed in MATH 282 is to study each day. To aid you in your study, homework problems will be assigned each day. Most of these will be collected and graded. Be sure to show your work neatly on these papers and to complete your work on time. Homework will be accepted one day late without penalty, but after one day late papers will not be accepted.

Calculus problems are expected to be challenging. Consequently, you should set aside at least 8 hours per week for study. If at any time you feel that you are falling behind, see the instructor immediately.  Assignments should be folded lengthwise, and you should place your name, “MATH 282”, the date, and the problem section number on the outside of your paper.  This information should also be included on the inside of the first page of your homework.

QUIZZES:  Occasionally quizzes may be given over the lectures and homework.

TESTS: Three 50-minute tests will be given during the quarter. These tests must be taken during the scheduled class period.

FINAL EXAMINATION: This test is scheduled for 8-9:50 AM, Wednesday,  March 15. Attendance is required, so make your travel plans early with this appointment in mind.

CLASS ATTENDANCE:  Students are expected to attend all classes. In addition, students are expected to give their full attention to the class discussions. Modifications in the homework assignments or test schedule may be announced in class.

DISABILITIES:  If you have a physical and/or learning disability and require accommodations, please contact your instructor or the Special Services office at 527-2090. This syllabus is available in alternative print formats upon request. Please ask your instructor.

Week

Topic

Assignment #

Exercises to Work

1

Infinite sequences

H1

§8.1 #7,12,14,36,40,55,60,69,84,111

 

Infinite series

H2

§8.2 #1,8,12,21,27,37,45,50,57,75,84

 

Integral test

H3

§8.3 #4,6,14,15,22,29,35,39,45,53,55

2

Comparison test

H4

§8.4 #1a,2a,3,6,14,15,28,31(one test only),57,59,65

 

Alternating series

H5

§8.5 #1,2,3,7,10,15,20,29,34,41,47,54,62,69,73,78

 

Ratio and root tests

H6

§8.6 #1,5,7,13,16,34,37,46,47,55,65

 

Talyor polynomials

H7

§8.7 #1,2,7,13,25,31c,45,65

3

Power series

H8

§8.8 #2,4,7,8,23,32,35,59,60

 

More Power Series

H9

§8.9 #2,7,24,27,35,39a,40,42a

 

Taylor & Maclaurin series

H10

§8.10 #2,3,15,22,27,35,46,48,61

 

Review /catch-up

 

 

4

Test #1, chapter 8 Key

 

 

 

Conic sections

H11

§9.1 #1-3,11,14,24,81,91(Use Maple or your calculator  to accurately plot a graph of the cable and to find the length of the cable.)

 

 

H12

§9.1 #4-6,50,54,60,67,98,114

 

Parametric equations

H13

§9.2 #2ab,10,17,23,35,40,44,55,75

5

Parametric equations

H14

§9.3 #9,16,19,23,37,51

 

Polar coordinates and graphs

H15

§9.4 #3,13,15,22,36,48a,54 (Do this for the point (2,0) only.) 73,79,103a

 

Area, arc length, & polar coordinates

H16

§9.5 #4,10,15,24,28,35,42,46

 

Conics & polar coordinates

H17

§9.6 #2,5a,7,10,12,19,32,36,43,55

6

Rotation of the axes, Maple example

H18

Exercises for Appendix E: #5,6,7,9,14,20

 

Review /catch-up

 

 

 

Test #2, chapter 9 Key

 

 

 

Vectors

H19

§10.1 #1,4,13,17,21,29,34,38,48,54,80,91

7

Three dimensional space

H20

§10.2 #2,12,22,29,41,57,63,79,89,97,108

 

Dot products

H21

§10.3 #1,7,11,20,27,41,45,67

 

Cross products

H22

§10.4 #4,7,21,33,37,47,63

 

Lines and planes

H23

§10.5 #5,12,14,17,21,34,36,48,53,69,75,79

8

Presidents’ Day, classes dismissed

 

 

 

Surfaces

H24

§10.6 #2,4,13,15,22,35,42,46,58,63

 

Cylindrical & spherical coordinates

H25

§10.7 #4,8,22,29,35,50,854,86,93

 

Vector functions

H26

§11.1 #2,8,10b,15,18,34,42,57,59,69,76,85

9

Review /catch-up

 

 

 

Test #3, chapter 10 Key

 

 

 

Differentiation and integration

H27

§11.2 #1,7,37ac,41,44,52,57,73

 

Velocity & acceleration

H28

§11.3 #6,16,25,34,46,50

10

Tangent & normal vectors

H29

§11.4 #2,9,11,26,31,40,52a-e,57

 

Arc length and curvature

H30

§11.5 #2,8,17,21,39,67

 

 

Review

 

 

 

11

Final Examination, March 15, 8 AM