Standard

R State Standard £ Institutionally Developed College: N/A

MAT 1101 – Mathematical Modeling
Course Description
This course is designed as an alternative to College Algebra for those students who will not take Trigonometry, Precalculus, or Calculus. It is an applications-driven course that introduces functions using real-world phenomena as models. Topics include: fundamental concepts of algebra; functions and graphs; linear, quadratic, polynomial, exponential, and logarithmic functions and models of real-world phenomena; systems of equations; and additional topics in algebra.
Competency Areas		Hours
Fundamental Concepts of Algebra		Class	5
Functions and Graphs		D. Lab	0
Linear Functions		P. Lab/O.B.I.	0
Quadratic Functions		Credit	5
Polynomial Functions
Exponential Functions
Logarithmic Functions
Systems of Equations
Additional Topics in Algebra
Prerequisite:	Minimum ASSET score of 42 or completion of MAT 099 with a minimum exit ASSET score of 42 or Compass equivalent.
Corequisite:

Course Guide

Competency	After completing this section, the student will be able to:	Hours
		Class	D.Lab	P.Lab/ O.B.I.
Fundamental Concepts of Algebra		5	0	0
Sets and Set Operations	Demonstrate the concept of sets and set notation.
	Find complements, unions, and intersections of sets.
Integral and Rational Exponents	Compute the value of expressions using the laws of exponents.
Radicals	Simplify radicals and use them in arithmetic operations.
Operations With Polynomials	Perform arithmetic operations on polynomials.
Special Products and Factoring	Identify all factors of algebraic expressions.
Operations With Rational Expressions	Perform arithmetic operations on rational expressions.
Functions and Graphs		5	0	0
Rectangular Coordinate System	Graph first- and second-degree equations.
Functions	Define and graph functions.
Algebra of Functions	Find sum, difference, product, and quotient of functions.
Composition of Functions (Optional)	Find the composition of two functions.
Inverse of a Function (Optional)	Find and/or graph the inverse of a function.
Linear Functions		10	0	0
Linear Equations In One Unknown	Solve linear equations.
Ratio and Proportion	Solve rational equations with ratio and proportion when applicable.
Linear Inequalities	Solve linear inequalities.
Linear Models of Real-World Phenomena	Construct linear models that describe real-world phenomena. Solve and analyze linear models.
Variations and Applications (Optional)	Set-up and solve problems with direct, inverse, or joint variations.
Quadratic Functions		5	0	0
Quadratic Equations In One Unknown	Solve quadratic equations.
Quadratic Models of Real-World Phenomena	Construct quadratic models that describe real-world phenomena.
	Solve and analyze quadratic models.
Polynomial Functions		5	0	0
Polynomial Models of Real-World Phenomena	Construct polynomial models that describe real-world phenomena.
	Solve and analyze polynomial models.
Exponential Functions		5	0	0
Apply Exponential Models to Real World Phenomena	Construct exponential models that describe real-world phenomena.
	Solve and analyze exponential models.
Logarithmic Functions		2	0	0
Logarithmic Models of Real-World Phenomena	Construct logarithmic models that describe real-world phenomena.
	Solve and analyze logarithmic models.
Systems of Equations		3	0	0
System of Two Linear Equations With Two Unknowns and Applications	Solve systems of linear equations with two unknowns.
	Solve application problems involving linear systems.
Matrices and Their Applications (Optional)	Solve systems of linear equations with matrices.
Linear Programming (Optional)	Solve simple linear programming problems.
Additional Topics in Algebra (All Optional)*		10	0	0
Piecewise-Defined Models of Real-World Phenomena	Recognize and interpret piecewise-defined models of real-world phenomena.
Counting Principles	Apply counting principles to real-world phenomena.