Standard

R State Standard £ Institutionally Developed College: N/A

MAT 1113 – Precalculus
Course Description
This course prepares students for Calculus. The topics discussed include an intensive study of polynomial, rational, exponential, logarithmic, and trigonometric functions and their graphs. Applications include simple maximum and minimum problems, exponential growth and decay.
Competency Areas		Hours
Functions		Class	5
Polynomial and Rational Functions		D. Lab	0
Exponential and Logarithmic Functions		P. Lab/O.B.I.	0
Trigonometric Functions		Credit	5
Applications of Trigonometry
Prerequisite:	MAT 1111 with a grade of C or better.
Corequisite:

Course Guide

Competency	After completing this section, the student will be able to:	Hours
		Class	D.Lab	P.Lab/ O.B.I.
Functions		5	0	0
Introduction to Functions	Define a function and terminology associated with a function such as domain and range; maximum and minimum values; increasing, decreasing, and constant functions; end behavior of a function; zeros and roots of a function; and transformation of a function.
Introduction to Graphing Calculator	Use the graphing calculator to graph functions.
Linear Functions	Define a linear function.
	Graph a linear function.
	Solve application problems involving linear functions.
Quadratic Functions	Define a quadratic function. Solve application problems involving quadratic functions
	Determine the vertex and the maximum and minimum values of a quadratic function.
	Graph a quadratic function.
Algebra of Functions	Add functions.
	Subtract functions.
	Multiply functions.
	Divide functions.
	Form and evaluate composite functions
	Find the inverse of a function.
POLYNOMIAL AND RATIONAL FUNCTIONS		10	0	0
Polynomial Functions	Define a polynomial function.
	Graph polynomial functions and their transformations.
	Use the leading term test to determine the left and right behavior of a polynomial function.
	Find all the zeros of a polynomial function including complex zeros.
Rational Functions	Define a rational function.
	Determine the domain and range of a rational function.
	Determine the vertical and horizontal asymptotes of a rational function.
	Graph rational functions and their transformations
EXPONENTIAL AND LOGARITHMIC FUNCTIONS		10	0	0
Exponential Functions	Define an exponential function.
	Evaluate an exponential function.
	Determine the domain and range of an exponential function.
	Graph exponential functions and their transformations.
	Use exponential functions to model certain phenomena in nature such as exponential growth and decay and in practical situations such as money invested at compound interest.
Logarithmic Functions	Define a logarithm.
	Apply the properties of logarithms to determine the values of logarithmic expressions and to solve logarithmic and exponential equations.
	Define a logarithmic function.
	Graph logarithmic functions.
	Solve application problems involving logarithmic functions.
	Determine the domain and range of a logarithmic function.
TRIGONOMETRIC FUNCTIONS		20	0	0
Circular Functions	Define the six circular functions.
	Determine the domain and range of the circular functions.
	Graph the circular functions using amplitude, period, and phase shift.
Trigonometric Functions	Define the six trigonometric functions.
	Use the trigonometric functions to solve right triangles.
	Solve application problems involving right triangles.