Standard

R State Standard £ Institutionally Developed College: N/A

MAT 1013 – Algebraic Concepts

Course Description

Introduces concepts and operations which can be applied to the study of algebra. Course content emphasizes: basic mathematical concepts; basic algebraic concepts; and intermediate algebraic concepts. Class includes lecture, applications, and homework to reinforce learning.

	Competency Areas					Hours
	Basic Mathematical Concepts					Class		5
	Basic Algebraic Concepts					D. Lab		0
	Intermediate Algebraic Concepts					P. Lab/O.B.I.		0
						Credit		5
Prerequisite:		MAT 098 or entrance algebraic score in accordance with approved TCSG admission score levels.
Corequisite:
Course Guide
	Competency		After completing this section, the student will be able to:	Hours
				Class	D.Lab		P.Lab/ O.B.I.
	BASIC MATHEMATICAL CONCEPTS			5	0		0
	Arithmetic review		Solve problems using exponents, roots, and scientific notation.
			Simplify radicals and use them in arithmetic operations.
			Use a scientific calculator to perform basic arithmetic operations.
	Signed numbers		Perform operations using signed numbers.
			Define absolute value and use in calculations.
			Use signed numbers in application problems.
	Order of operation		Apply hierarchy of operations to solve mathematical problems requiring multiple operations.
	BASIC ALGEBRAIC CONCEPTS			30	0		0
	Unknowns and variables		Define concept and notation used for variable quantities.
	Algebraic expressions		Combine like terms.
			Perform operations on algebraic expressions.
			Expand expressions with exponents.
			Factor polynomials.
	Equations and formulas		Solve linear equations.
			Solve quadratic equations by factoring and by use of the quadratic formula.
			Solve formulas for a designated unknown.
			Solve applied problems involving linear or quadratic equations.
	INTERMEDIATE ALGEBRAIC CONCEPTS			15	0		0
	Functions		Define the concept of one variable being a function of another.
			Evaluate linear and quadratic functions.
			Graph linear and quadratic functions on the rectangular and coordinate system.
			Solve applied problems using linear and quadratic functions.
	Linear systems		Solve systems of linear equations with 2 and 3 variable using elimination, substitution, graphing, and determinants.

Suggested Resources

Media (text/audio/ visual/www/ other)	Author	Title: Subtitle	Edition	Place of Publication	Year	Publisher/Publication	pp.
Text	Aufman, Barker, Lockwood	Introductory Algebra, An Applied Approach.	7^th Ed.		(2005)	Houghton Mifflin Company
Text	Bittinger, M. and Beecher, J.	Developmental Mathematics.	6^th Ed.	Boston	(2004)	Pearson Education
Text	Lial, Hornsby, and McGinnis	Introductory and Intermediate Algebra.	3^rd Ed.	Boston	(2005)	Pearson Education
Text	Sharma, M.	Beginning Algebra.	5^th Ed		(2005)	Educo International, Inc.

Posted: 06/30/08