MAT 201

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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.	COURSE TITLE:	Calculus I
	PREFIX/NUMBER:	MAT 201	CREDIT HOURS:	5
2.	Prerequisites:	Successful completion of MAT 122 with a C or better.

3.	RESOURCES NEEDED:
	TEXT:	Single Variable Calculus, 6/e, James Stewart
	Supplies:	Paper, pencil, scientific calculator.

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.	STANDARD COMPETENCIES:
	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.	COURSE OUTLINE
	1.0	Functions and Models
		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 Graphing Calculators and Computers
	2.0	Limits
		2.1 The Tangent and Velocity Problems
		2.2 The Limit of a Function
		2.3 Calculating Limits Using the Limit Laws
		2.4 The Precise Definition of a Limit
		2.5 Continuity

	3.0	Derivatives
		3.1 Derivatives and Rates of Change
		3.2 The Derivative of a Function
		3.3 Differentiation Formulas
		3.4 Derivatives of Trigonometric Functions
		3.5 The Chain Rule
		3.6 Implicit Differentiation
		3.7 Rates of Change in the Natural and Social Sciences
		3.8 Related Rates
		3.9 Linear Approximations and Differentials

	4.0	Applications of Differentiation
		4.1 Maximum and Minimum Values
		4.2 The Mean Value Theorem
		4.3 How Derivatives Affect the Shape of a Graph
		4.4 Limits at Infinity: Horizontal Asymptotes
		4.5 Summary of Curve Sketching
		4.6 Graphing with Calculus and Calculators
		4.7 Optimization Problems

		4.8 Newton's Method
		4.9 Antiderivatives
	5.0	Integrals
		5.1 Areas and Distances
		5.2 The Definite Integrals
		5.3 The Fundamental Theorem of Calculus
		5.4 Indefinite Integrals and the Net Change Theorem
		5.5 The Substitution Rule
	6.0	Applications of Integration
		6.1 Areas Between Curves
		6.2 Volumes
		6.3 Volumes by Cylindrical Shells
		6.4 Work
		6.5 Average Value of a Function

EVALUATION PROCEDURES

Evaluation methods and procedures will be determined by the instructor. These may consist of but not limited to: quizzes, assignments, exams, individual and/or group projects.

Grading Scale:

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

SPECIAL REMARKS

Homework:	Homework will be assigned and evaluated as determined by the instructor.
Cheating:	If cheating occurs, it will result in a zero on that exam.
Attendance:	Attendance will be taken and students will be dropped 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 may result in the student's temporary or permanent removal from the course.
Help is available outside of class in the math lab or from your instructor.

The CD-Rom, Journey Through Calculus, is available to supplement the lectures and text.
The “PLATO” system in the Learning Center (AB 150) can be applied to the course outline in the following manner:
	Unit 1 – ad0advlg
	Unit 2 – ca1a, ca1b
	Unit 3 – ca1c, ca1d, ca1e, ca1f
	Unit 4 – ca1fl4, ca1fl4X, ca1h, ca1i
	Unit 5 – ca1k, ca1l, ca1m
	Unit 6 – ca1n

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. Sanctions for violating the standards of academic integrity may include warning, probation, suspension, and/or failure of the course or assignment at the discretion of the instructor..
10.	ADA NOTICE:
	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.