MATH 123 Survey of Calculus, Winter, 2009

Walla Walla University


BULLETIN DESCRIPTION: Introduction to calculus, including topics such as functions, limits, derivatives, and integration in one or more variables; applications from business and social sciences. Does not apply toward a major or minor in mathematics. Credit will not be allowed for both MATH 123 and MATH 181. Prerequisite: MATH 117 or 121 (minimum grade of C-) or a satisfactory departmental placement.

INSTRUCTOR: Dr. Kenneth L. Wiggins, 338 KRH, 527-2088, ken.wiggins@wallawalla.edu

OFFICE HOURS: 2 TuWTh, 3 M, 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:

·         the geometrical significance of derivatives and integrals

·         derivatives and their application to solve simple problems

·         calculus techniques and their application to simple business-oriented problems

TEXT: Brief Calculus & Its Applications, 11th ed., by Goldstein, Lay, Schneider, and Asmar, Pearson/Prentice Hall, 2004

ASSESSMENT: All assessment will be based on both the correctness of your results and 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 123 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 due the day after it is assigned, and it will be accepted one day late without penalty. Papers more than one day late papers will not be accepted. Calculus problems are expected to be challenging. Consequently, you should set aside at least 10 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: The final examination will be given on March 16 at 2 PM. 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.

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 38 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.

 

TENTATIVE HOMEWORK SCHEDULE:

Week

Topic

Exercises to Work

1

Slope of a line

§1.1 # 5, 6, 10, 11, 23, 33, 38, 44, 52, 56, 57

 

The Slope of a Curve at a Point

§1.2 # 2, 7, 9, 12, 17, 18, 20, 23, 28, 32, 38

2

The Derivative

§1.3 # 2, 4, 11, 18, 26, 31, 39, 46, 49, 56, 59, 79


Limits and the Derivative

§1.4 # 2, 3, 4, 11, 18, 24, 34, 50, 53, 63, 69

 

Differentiability and Continuity

§1.5 # 2, 3, 5, 8, 9, 11, 13, 18, 21, 23, 29, 34

 

Some Rules for Differentiation

§1.6 # 1, 8, 11, 13, 24, 33, 44, 51, 53, 63

 

More About Derivatives

§1.7 # 1, 8, 10, 16, 20, 22, 25, 31, 34, 39

3

The Derivative as a Rate of Change

§1.8 # 4, 5, 8, 13, 20, 23, 24, 26, 29, 31

 

Test #1

Review sheet for test #1

Answers for test #1

 

Describing Graphs of Functions

§2.1 # 2, 3, 7, 15, 20, 22, 26, 32, 37

 

The First and Second Derivative Rules

§2.2 # 3, 10, 13, 16, 21, 24, 30, 37, 43

4

Curve Sketching

§2.3 # 1, 6, 9, 26, 35, 41, 42; §2.4 # 7, 13, 22, 27

 

Optimization Problems

§2.5 # 4, 11, 14, 21, 23, 26, 29

 

Further Optimization Problems

§2.6 # 7, 13, 18, 19, 24

 

Applications of Derivatives to Business and Economics

§2.7 # 1, 5, 6, 7, 8, 18, 21

5

The Product and Quotient Rules

§3.1 # 3, 7, 13, 15, 18, 28, 33, 47, 58, 64

 

The Chain Rule and the General Power Rule

§3.2 # 4, 7, 11, 20, 35, 37, 48, 55

 

Implicit Differentiation and Related Rates

§3.3 # 2, 5, 14, 19, 26, 29, 39, 44

6

Test #2 answers

Review sheet for test #2

 

The Exponential Function ex

§4.2 # 2, 3, 8, 15, 22, 30, 33, 35, 42, 46

 

Exponential Growth and Decay

§5.1 # 2, 10, 15, 21, 24, 28

7

Compound Interest

Compound Interest Example

§5.2 # 2, 5, 10, 13, 21, 24

 

Antidifferentiation

§6.1# 1, 3, 6, 15, 25, 29, 45, 48, 57, 62

 

Areas and Riemann Sums

Example

§6.2 # 2, 6, 9, 19, 24

 

Definite Integrals and the Fundamental Theorem

§6.3 # 3, 4, 9, 17, 21, 23, 33, 38, 41, 44

8

Areas in the plane

6.4 # 1, 2, 4, 13, 16, 21, 25, 27

 

Applications of the Definite Integral

6.5 # 1, 7, 11, 16, 18, 22, 26, 41

 

Techniques of Integration

6.6 # 2, 4, 5, 8, 9, 18, 21, 23, 31, 33, 34, 38

9

Functions of Several Variables

Maple Example

7.1 # 3, 8, 12, 17, 22, 26

 

Partial Derivatives Maple example

7.2 # 3, 7, 8, 16, 19, 26, 33

10

Maxima and Minima of Functions of Several Variables

7.3 # 3, 10, 15, 19, 24, 32

 

Lagrange Multipliers and Constrained Optimization

7.4 # 1, 6, 12, 14, 22

 

The Method of Least Squares

Test #3 answers

7.5 # 5, 12

Review sheet for Test #3

 

Final Examination, Monday, March 16, 2-4