3.	RESOURCES NEEDED:
	TEXT:	Calculus and Its Applications, 9th ed., by Bittinger and Ellenbogen
	Supplies:	Paper, pencil, scientific calculator.

4.

Course DESCRIPTION:

Includes derivatives, integrals, and their applications, with attention restricted to algebraic, exponential, and logarithmic functions for business, life science and/or social science majors.

5.	STANDARD COMPETENCIES:
	A.		Solve selected problems involving algebraic expressions
	B.		Solve and graph linear and non-linear algebraic equations and inequalities
	C.		Compare the difference between relationships and functions, and be able to work with function notation
	D.		Find limits and determine continuity at a point for a variety of algebraic functions.
	E.		Use the appropriate algorithms (including product, chain, and quotient rules) to find the derivatives of algebraic functions.
	F.		Find derivatives of implicitly defines algebraic functions.
	G.		Use derivatives to find equations of tangent lines, determine rates of change, and solve applied problems as selected by instructor.
	H.		Use the first and second derivatives of algebraic functions to find extreme, points of inflection, sketch graphs, and solve applied algebraic problems as selected by instructor.
	I.		State and use the properties of exponential and logarithmic functions and solve applied problems as selected by instructor.
	J.		Use the appropriate algorithms to find derivatives of exponential and logarithmic functions.
	K.		Use definite integrals to evaluate under are under curves and other applied problems.
	L.		State and use the Fundamental Theorem of Calculus to evaluate integrals.
	M.		Use differential equations to applied problems as selected by instructor.
	N.		Integrate algebraic, exponential, and logarithmic functions using various techniques (such as substitution and integration by parts).
	O.		Evaluate various improper integrals as selected by instructor.
	P.		Read, analyze and apply written material to new situations.
	Q.		Write and speak clearly and logically in presentation and essays.
	R.		Demonstrate the ability to select and apply contemporary forms of technology to solve or compile information.
6.		COURSE OUTLINE
	R.0		Functions, Graphs, and Models
			R.1 Graphs and Equations
			R.2  Functions and Models
			R.3  Finding Domain and Range
			R.4  Slope and Linear Functions R.5  Nonlinear Functions and Models R.6  Mathematical Modeling and Curve Fitting
	1.0		Differentiation
			1.1  Limits: A Numerical and Graphical Approach
			1.2  Algebraic Limits and Continuity
			1.3  Average Rates of Change
			1.4  Differentiation Using Limits of Difference Quotients
			1.5  Differentiation Techniques: The Power and Sum-Difference Rules 1.6  Differentiation Techniques: The Product and Quotient Rules 1.7  The Chain Rule 1.8  Higher-Order Derivatives
	2.0		Applications of Differentiation
			2.1  Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs
			2.2  Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs
			2.3  Graph Sketching: Asymptotes and Rational Functions
			2.4  Using Derivatives to Find Absolute Maximum and Minimum Values
			2.5  Maximum-Minimum Problems: Business and Economics Applications
			2.6  Marginals and Differentials
			2.7  Implicit Differentiation and Related Rates
	3.0		Exponential and Logarithmic Functions
			3.1  Exponential Functions
			3.2  Logarithmic Functions
			3.3  Applications: Uninhibited and Limited Growth Models
			3.4  Applications: Decay
			3.5  The Derivatives of ax and loga x
			3.6  An Economics Application:  Elasticity and Demand
	4.0		Integration
			4.1  The Area Under a Graph
			4.2  Area, Antiderivatives, and Integrals
			4.3  Area and Definite Integrals
			4.4  Properties of Definite Integrals
			4.5  Integration Techniques: Substitution 4.6  Integration Techniques: Integration by Parts 4.7  Integration Techniques: Tables
	5.0		Applications of Integration
			5.1  An Economics Application: Consumer Surplus and Producer Surplus
			5.2  Applications of the Models  and
			5.3  Improper Integrals
			5.4  Probability
			5.5  Probability:  Expected Value; The Normal Distribution 5.6  Volume 5.7  Differential Equations

7.		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
8.