MATH 181 Analytic Geometry and Calculus I, Autumn, 2008


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:

·         Limits. limits and continuity

·         Deriviatives.  Geometric interpretation, differentiation rules, applications, max-min problems, related rates, Rolle’s Theorem, The Mean Value Theorem.

·         Integrals. Antiderivatives, definite integrals,  The Fundamental Theorem of Calculus

TEXT: Calculus, eighth edition, Larson, Hostettler, and Edwards, 2006, 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 correctness and quality including the quality of your presentation.\

Category

Weight

Homework & quizzes

15%

Three tests

50%

Final exam

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. Most of these will be collected and graded. Be sure to show your work neatly 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.  Fold and label your papers as shown in the diagram. 

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 labeled as shown in the illustration.  This label 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 8-10 AM, Wednesday, December 17. 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, and to be courteous, respectful, and supportive of the learning environment.  Cell phones, computers, personal organizers, and all other electronic devices are not to be used by students during class.   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.

SPECIAL CONSIDERATION FOR EXTRA EFFORT:  Your lowest test grade will be dropped and replaced with your final examination grade if you meet the following conditions:  You must

·         Be present, on time, and attentive for at least 37 of the 39 scheduled class sessions

·         Turn in at least 95% of the homework.

·         Make a higher grade on the final examination than you did on your lowest test.

ACADEMIC INTEGRITY:   Some collaboration on homework is allowed, but the work you submit for grading must be your own.  Any type of cheating on a test or examination, including but not limited to copying another student’s work or using unauthorized notes or electronic equipment, will result in a zero grade for the test or a failing grade for the quarter, and possibly further disciplinary action take by the Associate Vice President for Academic Administration.  See the academics section of the  Student Handbook

TENTATIVE HOMEWORK SCHEDULE:

Week

Topic

Assmt #

Pages to Read

Exercises to Work

1

A Preview of Calculus, Calculator tips

H1

42-47

Supplemental Problems

 

Introduction to Logic

H2

 

Supplemental Problems

 

Finding Limits Graphically and Numerically

H3

48-58

§1.2 #7,8,12,14,17,27a,31,33,40,59

2

Evaluating Limits Analytically

H4

59-69

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

 

Continuity and One-Sided Limits 

H5

70-82

§1.4 #6,12,15,27,31,40,56,63,71,84,92

 

Infinite Limits

H6

83-90

§1.5 #1,2,8,12,27,30,37,63,67,70

 

The Derivative and the Tangent Line Problem

H7

96-106

§2.1 #2,3,8,18,22,34,48,58,59a,59b,72,93

3

Basic Differentiation Rules and Rates of Change

H8

107-118

§2.2 #1b,2b,23,40,44,47,55ab,58,64,90,96,98,100, Supplementary Problem,

 

Catch Up/Review

 

 

 

 

Test #1, 1.1-2.2  Key A  Key B

 

 

 

 

Product and Quotient rules

H9

119-129

§2.3 #6,12,15,35,56,73,91,94

4

The Chain Rule

H10

130-14

§2.4 #1,4,8,12,24,56,58,83,109,113,114

 

Implicit Differentiation

H11

141-148

§2.5 #4,8,20,29,57/span>

 

An Engineering Problem

EC1

 

Extra Credit Assignment - 10 points

 

Related Rates

H12

149-157

§2.6 #2,5,21,23,26a,30a,34,35

5

Extrema on an Interval

H13

164-171

§3.1 #6,8,11,12,14,22,55,63,64

 

Rolle’s Theorem and the Mean Value Theorem

H14

172-178

§3.2 #1,6,12,29,39,53,73,79

 

Increasing and Decreasing Functions and the first Derivative Test

H15

179-189

§3.3 #6,21,47,57,58,75,91

6

Catch Up/Review

 

 

 

 

Test #2, 2.3-3.3 Key A Key B

 

 

 

 

Concavity and the Second Derivative Test

H16

190-197

§3.4 #2,6,12,27,43,54,57,58,64,67

7

Limits at Infinity

H17

198-208

§3.5 #4,12,16,22,24,35,39,60,84,91

 

A Summary of Curve Sketching

H18

209-217

§3.6 #5,18,30,35,54 

 

Optimization Problems

H19

218-228

§3.7 #3,5,13,20,2123,26a,28,49

 

A missionary, crocodiles, tigers, and calculus

EC2

 

Extra Credit Assignment - 10 points

8

Newton’s Method

H20

229-324

§3.8 #5,16,21

 

Differentials

H21

235-241

§3.9 #4,8,18,27,33

 

Antiderivatives and Indefinite Integration

H22

248-258

§4.1 #3,7,24,30,38,48,60,63,68,69,72,77,81

9

Catch Up/Review

 

 

 

 

Test #3 3.4-4.1 Key A Key B

 

 

 

 

Area

H23

259-270

§4.2 #3,9,15,22,27,46,52

10

Riemann Sums and Definite Integrals

H24

271-281

§4.3 #8,10,18,30,40,47e,51,52, Supplementary Problems

 

The Fundamental Theorem of Calculus

H25

282-294

§4.4 #3,9,17,23,32,33,36,44,47

 

Catch Up/Review

 

 

 

 

Final Examination, Wednesday, December 17, 8-10