MATH 121 — CALCULUS I

SECTION 01, 4 CREDIT HOURS, FALL, 2003

Monday, Tuesday, Thursday, and Friday, 1:10-2:10pm

INSTRUCTOR: Dr. Carol Lawrence
OFFICE: 114 Braswell
OFFICE HOURS: MWF 9:30-10:30am, TTh 2:30-3:30pm or by appointment
OFFICE PHONE: 985-5183
BUILDING AND ROOM: BA 238B
WEB SITE: http://faculty.ncwc.edu/clawrence/
EMAIL: clawrence@ncwc.edu

TEXT: Calculus, 5th ed., James Stewart, Brooks/Cole Publishing, 2003.

PREREQUISITE: Placement or MAT 115.

COURSE DESCRIPTION: Topics will include the Cartesian plane and functions of one variable, limits and their properties, differentiation, the Fundamental Theorem of Calculus, integration, and applications of differentiation and integration.

OBJECTIVES OF THE COURSE: In general, the course is designed to develop an intuitive and formal understanding of the concepts of limits, derivatives and integrals and their applications from a graphical and symbolic perspective. With this understanding, the student should develop the conceptual foundation necessary to bring meaning to calculus techniques and ability to apply techniques in a variety of situations.

OUTCOMES OF THE COURSE: Specifically, the student will develop a foundational understanding of and techniques associated with the concepts of the Cartesian plane and functions of one variable, limits and their properties, differentiation, the Fundamental Theorem of Calculus, and integration. The student will demonstrate understanding of concepts and mastery of foundational calculus techniques through written and oral explanations, graphical and numerical representations, and problem-solving associated with application situations.

TEACHING METHODS: Concepts will be presented by methods of lecture, group discussion, and supplemented with graphing calculator and computer laboratory exercises. Calculus techniques will be modeled by both instructor and students. Opportunities for group and individual skill development and problem-solving will be provided. Instructor/student and student/student interaction is encouraged.

ATTENDANCE: Punctual attendance is required. The College attendance policy as stated on page 61 of the catalog will be strictly enforced. No more than three absences are allowed. Three tardies count as an absence. Two quiz grades will be dropped for all students that stay within the three absences limit. There will be no make-up tests or exam for unexcused absences. Make-up daily assignments should be turned in by the next class period after the absence occurred. The instructor should be notified in advance of excused absences due to college approved events.

GRADING:

   

Homework/Quizzes/Computer Projects

 

15%

Chapter Tests

 

60%

Attendance

 

5%

Final Exam

 

20%

I will assign homework each class period. Quizzes may be announced or unannounced. The final exam will be comprehensive. A 10 point grading scale will be used.

LATE ASSIGNMENTS: Any assignment turned in past the specified due date and time will receive a grade lowered by one letter grade per each school day late.

FINAL EXAMMonday, Dec. 8, 1:00-3:00pm

CHEATING AND PLAGIARISM: A scholar is characterized by his/her honesty and fairness. Therefore, a scholar neither gives nor receives "information illicitly with intent to deceive the instructor in his or her effort to grade fairly any academic work" (NCWC Catalog, p. 77-78). Also, a scholar does not take credit for someone's work without giving credit to the creator. The violation of these principles is academic dishonesty and will not be tolerated. The instructor will adhere strictly to the plagiarism and cheating policy as stated in the 2002-2003 college catalog on pages 77-78.

STUDENTS WITH DISABILITIES: Students with disabilities who believe that they may need accommodations in this class are encouraged to contact the Office of Disability Support Services (DSS) at 985-5269 as soon as possible to coordinate and implement accommodations in a timely fashion. The Office of DSS is located in the Student Support Center, PC 188.

MATH 121: CALCULUS I

A Graphing Calculator (TI-82 or TI-83 preferably) is required and can be rented from Dr. Lawrence for $82.50 (to be refunded when the calculator is returned) on a first-come, first-serve basis.

DATE

CHAPTER /SECTION

TOPIC

8/26

1.1

Four Ways to Represent a Function

8/28

1.1

Continued

8/29

1.2

Mathematical Models

9/2

Appendix D

Trigonometry

9/4

Appendix D

Continued

9/5

Appendix D

Continued

9/8

2.1

The Tangent and Velocity Problems

9/9

Computer Lab

Using Maple (CAS Computer Projects)

9/11

2.1

Continued

9/12

2.2

The Limit of a Function

9/15

2.3

Calculating Limits Using the Limit Laws

9/16

2.3

Continued

9/18

2.4

The Precise Definition of A Limit

9/19

2.5

Continuity

9/22

2.6

Tangents, Velocities, and Other Rates of Change

9/23

 

Review for Test 1

9/25

 

Test 1

9/26

3.1

Derivatives

9/29

3.2

The Derivative as a Function

9/30

3.3

Differentiation Formulas

10/2

3.3

Continued

10/3

3.4

Rates of Change in the Natural and Social Sciences

10/6

3.4

Continued

10/7

3.5

Derivatives of Trigonometric Functions

10/9

3.6

The Chain Rule

10/10

3.6

Continued

10/13

 

Review for Test 2

10/14

 

Test 2

10/20

3.7

Implicit Differentiation

10/21

3.8

Higher Derivatives

10/23

3.8

Continued

10/24

3.9

Related Rates

10/27

3.9

Continued

10/28

3.10

Linear Approximation and Differentials

10/30

4.1

Maximum and Minimum Values

10/31

4.2

The Mean Value Theorem

11/3

4.3

How Derivatives Affect the Shape of a Graph

11/4

4.3

Continued

11/6

4.4

Limits at Infinity; Horizontal Asymptotes

11/7

4.5

Summary of Curve Sketching

11/10

4.5

Continued (homework: JTC, M5, Families of Functions)

11/11

 

Review for Test 3

11/13

 

Test 3

11/14

4.6

Graphing with Calculus and Calculators

11/17&18

4.7

Optimization Problems

11/20

4.9

Newton’s Method

11/21

4.10

Antiderivatives

11/24

4.10

Continued

11/25

5.1

Areas and Distances

 

5.2

The Definite Integral

12/1

5.3

The Fundamental Theorem of Calculus

12/2

 

Review for Final Exam