MATH 181 Analytic Geometry and Calculus I, Autumn, 2004

BULLETIN DESCRIPTION: Study of functions, limits, continuity, derivatives, definite integrals, and the Fundamental Theorem of Calculus.  Credit will not be allowed for both MATH 123 and MATH 181.  Prerequisite: MATH 117 or 122 or a satisfactory score on a departmental placement examination.  A graphing calculator is required… (see below).

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

OFFICE HOURS: 3 M, 2 Tu-Th, 10 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, seventh edition, Larson, Hostettler, and Edwards, 2002, Houghton Mifflin

GRAPHING UTILITIES: An TI-89 or equivalent calculator is required for homework and projects, but it cannot be used for tests.

Assessment: All assessment will be based on both the correctness and quality of your work, including 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 181 is to study each day. To aid you in your study, homework problems will be assigned each day, and 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. Papers may be turned in one day late without penalty, but papers more than one day late 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.

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 2:00-3:50 p.m., Tuesday, December 14.  If, on any single day, you have either four final examinations or three consecutive final examinations, see Dr. Clinton Valley about rescheduling one of the exams.  Otherwise, except for emergencies, plan to take the exam at the scheduled time.

  If you have four final examinations or three consecutive final examinations on any day, see Dr. Clinton Valley about rescheduling one of the exams.  Otherwise, except for emergencies, plan to take the exam at the scheduled time.

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.

 

Date

Topic

Assmt #

Pages to Read

Exercises to Work

Sept 27

A Preview of Calculus, Calculator tips

H1

42-47

Supplemental Problems on Functions

 

Logic Review

H2

 

Supplemental Problems on Logic

 

Finding Limits Graphically and Numerically

H3

48-56

§1.2 #7,8,12,14,17,19a,21,24,30,47

Oct 4

Evaluating Limits Analytically

H4

57-67

§1.3 #2,12,23,38,44,50,54,79,83,113,123

 

Continuity and One-Sided Limits 

H5

68-79

§1.4 #6,12,15,27,31,40,56,63,71,84,101

 

Infinite Limits

H6

80-87

§1.5 #1,2,8,12,27,30,37,64,68,71

 

The Derivative and the Tangent Line Problem

H7

94-104

§2.1 #2,3,8,18,22,34,44,48,49a,49b,72,83

 Oct 11

Basic Differentiation Rules and Rates of Change

H8

105-116

§2.2 #1b,2b,23,40,44,47,55ab,58,64,88,94,96,98, Supplementary Problem,

 

Catch Up/Review

 

 

 

 

Test #1, 1.1-2.2

 

 

 

 

The Product and Quotient Rules and Higher-Order Derivatives

H9

117-126

§2.3 #6,12,15,35,56,69,82,84

 Oct 18

The Chain Rule

H10

127-136

§2.4 #1,4,8,14,26,64,66,79,100,104,105

 

Implicit Differentiation

H11

137-143

§2.5 #4,8,20,29,47

 

An Engineering Problem

EC1

 

Extra Credit Assignment - 10 points

 

Related Rates, Example

H12

144-152

§2.6 #2,5,21,23,26a,30a,34,35

Oct 25

Extrema on an Interval

H13

160-167

§3.1 #4,6,9,10,12,20,51,61,62

 

Rolle’s Theorem and the Mean Value Theorem

H14

168-173

§3.2 #1,4,8,25,31,45,53,59

 

Increasing and Decreasing Functions and the first Derivative Test

H15

174-183

§3.3 #4,15,37,45,46,58,67

Nov 1

Catch Up/Review

 

 

 

 

Test #2, 2.3-3.3

 

 

 

 

Concavity and the Second Derivative Test

H16

184-191

§3.4 #2,6,12,27,43,54,57,58,64,67

Nov 8

Limits at Infinity

H17

192-201

§3.5 #2,10,14,20,22,33,35,54,78,83

 

A Summary of Curve Sketching, Example

H18

202-210

§3.6 #5,18,32,47,58 

 

Optimization Problems,  The Corral

H19

211-221

§3.7 #2,4,11,18,19,23,26a,28

 

A missionary, crocodiles, cannibals, and calculus

EC2

 

Extra Credit Assignment - 10 points

Nov 15

Newton’s Method

H20

222-227

§3.8 #5,16,27

 

Differentials

H21

228-234

§3.9 #4,8,18,29,35

 

Antiderivatives and Indefinite Integration

H22

242-252

§4.1 #3,7,24,30,38,50,60,63,68,69,72,77,81

Nov 29

Catch Up/Review

 

 

 

 

Test #3 3.4-4.1

 

 

 

 

Area

H23

253-264

§4.2 #3,9,15,22,27,46,52

Dec 6

Riemann Sums and Definite Integrals

H24

265-274

§4.3 #8,10,18,30,40,45e,47,48, Supplementary Problems

 

The Fundamental Theorem of Calculus

H25

275-287

§4.4 #3,9,17,23,32,35,38,46,49,63,83,92

 

Catch Up/Review

 

 

 

 

Final Examination Study guide, Tuesday, Dec 14, 2-3:50