MAT 201

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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

Calculus I

PREFIX/NUMBER:

MAT 201

CREDIT HOURS:

5

2.

PREREQUISITE:

Successful competition of MAT 122 with a C or better

3.

RESOURCES NEEDED:

TEXT:

Calculus, 7/e by James Stewart

ISBN: 9780538497817

SUPPLIES:

Paper, pencil, scientific calculator

4.

COURSE DESCRIPTION:

Introduces single variable calculus and analytic geometry. Includes limits, continuity, derivatives, and applications of derivatives as well as indefinite and definite integrals and some applications.

5.

COURSE OBJECTIVES :

A. Solve selected algebraic and trigonometric problems.

B. Identify limits of algebraic, trigonometric, and composite functions.

C. Solve for the derivatives of algebraic, trigonometric and composite functions.

D. Solve for the derivatives of selected functions.

E. Use the appropriate algorithm(s) (including product, quotient, and chain rules) to find derivatives of algebraic, trigonometric, and composite functions.

F. Find derivatives of implicitly defined functions,

G. Use the first and second derivatives of functions to find extrema, points of infection, and sketch the graph of functions.

H. Set up and solve applied problems selected by the instructor.

I. Find the indefinite and definite integrals of algebraic, trigonometric, and composite functions.

J. Apply definite integrals.

K. Simplify all answers using algebraic techniques.

L. Read, analyze, and apply written material to new situations.

M. Write and speak clearly and logically.

N. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.

6.

EVALUATION PROCEDURES:

The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout.

Grading Scale:
The following Grading Scale will be used:

90% – 100% - S/A
80% – 89% - S/B
70% – 79% - S/C
60% - 69% - U/D
0% - 59% - U/F

7.

COURSE OUTLINE:

Textbook Chapters 1 – 5

1. Functions and Limits

1.1 Four Ways to Represent a Function

1.2 Mathematical Models: A Catalog of Essential Functions

1.3 New Functions from Old Functions

1.4 The Tangent and Velocity Problems

1.5 The Limit of a Function

1.6 Calculating Limits Using The Limit Laws

1.7 The Precise Definition of a Limit

1.8 Continuity

2. Derivatives

2.1 Derivatives and Rates of Change

2.2 The Derivative as a Function

2.3 Differentiation Formulas

2.4 Derivatives of Trigonometric Functions

2.5 The Chain Rule

2.6 Implicit Differentiation

2.7 Rates of Change in the Natural and Social Sciences

2.8 Related Rates

2.9 Linear Approximations and Differentials

3. Applications of Differentiation

3.1 Maximum and Minimum Values

3.2 The Mean Value Theorem

3.3 How Derivatives Affect the Shape of a Graph

3.4 Limits at Infinity; Horizontal Asymptotes

3.5 Summary of Curve Sketching

3.6 Graphing with Calculus and Calculators

3.7 Optimization Problems

3.8 Newton’s Method

3.9 Antiderivatives

4. Integrals

4.1 Areas and Distances

4.2 The Definite Rule

4.3 The Fundamental Theorem of Calculus

4.4 Indefinite Integrals and the Net Change Theorem

4.5 The Substitution Rule

5. Applications of Integration

5.1 Areas Between Curves

5.2 Volumes

5.3 Volumes by Cylindrical Shells

5.4 Work

5.5 Average Value of a Function

8.

METHODS OF INSTRUCTION:

To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities.

The instructor may assign point values to such activities.

9.

ACADEMIC INTEGRITY:

The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.

10.

DISABILITY STATEMENT:

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.

11.

SPECIAL REMARKS:

Homework: Homework will be assigned and evaluated as determined by the instructor.

Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made.

Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class.

Use of Electronics in the Classroom: Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.

1.	TITLE OF COURSE:		Calculus I
	PREFIX/NUMBER:		MAT 201	CREDIT HOURS:	5
2.	PREREQUISITE:		Successful competition of MAT 122 with a C or better
3.	RESOURCES NEEDED:
	TEXT:		Calculus, 7/e by James Stewart ISBN: 9780538497817
	SUPPLIES:		Paper, pencil, scientific calculator
4.	COURSE DESCRIPTION:		Introduces single variable calculus and analytic geometry. Includes limits, continuity, derivatives, and applications of derivatives as well as indefinite and definite integrals and some applications.
5.	COURSE OBJECTIVES :		A. Solve selected algebraic and trigonometric problems. B. Identify limits of algebraic, trigonometric, and composite functions. C. Solve for the derivatives of algebraic, trigonometric and composite functions. D. Solve for the derivatives of selected functions. E. Use the appropriate algorithm(s) (including product, quotient, and chain rules) to find derivatives of algebraic, trigonometric, and composite functions. F. Find derivatives of implicitly defined functions, G. Use the first and second derivatives of functions to find extrema, points of infection, and sketch the graph of functions. H. Set up and solve applied problems selected by the instructor. I. Find the indefinite and definite integrals of algebraic, trigonometric, and composite functions. J. Apply definite integrals. K. Simplify all answers using algebraic techniques. L. Read, analyze, and apply written material to new situations. M. Write and speak clearly and logically. N. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.
6.	EVALUATION PROCEDURES:		The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout. Grading Scale: The following Grading Scale will be used: 90% – 100% - S/A 80% – 89% - S/B 70% – 79% - S/C 60% - 69% - U/D 0% - 59% - U/F
7.	COURSE OUTLINE:		Textbook Chapters 1 – 5 1. Functions and Limits 1.1 Four Ways to Represent a Function 1.2 Mathematical Models: A Catalog of Essential Functions 1.3 New Functions from Old Functions 1.4 The Tangent and Velocity Problems 1.5 The Limit of a Function 1.6 Calculating Limits Using The Limit Laws 1.7 The Precise Definition of a Limit 1.8 Continuity 2. Derivatives 2.1 Derivatives and Rates of Change 2.2 The Derivative as a Function 2.3 Differentiation Formulas 2.4 Derivatives of Trigonometric Functions 2.5 The Chain Rule 2.6 Implicit Differentiation 2.7 Rates of Change in the Natural and Social Sciences 2.8 Related Rates 2.9 Linear Approximations and Differentials 3. Applications of Differentiation 3.1 Maximum and Minimum Values 3.2 The Mean Value Theorem 3.3 How Derivatives Affect the Shape of a Graph 3.4 Limits at Infinity; Horizontal Asymptotes 3.5 Summary of Curve Sketching 3.6 Graphing with Calculus and Calculators 3.7 Optimization Problems 3.8 Newton’s Method 3.9 Antiderivatives 4. Integrals 4.1 Areas and Distances 4.2 The Definite Rule 4.3 The Fundamental Theorem of Calculus 4.4 Indefinite Integrals and the Net Change Theorem 4.5 The Substitution Rule 5. Applications of Integration 5.1 Areas Between Curves 5.2 Volumes 5.3 Volumes by Cylindrical Shells 5.4 Work 5.5 Average Value of a Function
8.	METHODS OF INSTRUCTION:		To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities. The instructor may assign point values to such activities.
9.	ACADEMIC INTEGRITY:		The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.
10.	DISABILITY STATEMENT:		Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.
11.	SPECIAL REMARKS:	*Homework: Homework will be assigned and evaluated as determined by the instructor. Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made. Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE* in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class. *Use of Electronics in the Classroom:* Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.