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MAT102 - Algebra 2
Catalog Description: Topics include solving first degree inequalities, introduction to functions, linear equations in two variables and graphing, solving systems of two or three linear equations and inequalities, brief review of polynomial operations and factoring, algebraic fractions, variation, solving rational equations and proportions, rational exponents and radical expressions, complex numbers, solving radical equations, and four methods for solving quadratic equations, with emphasis on problem solving and applications throughout the course. Not open to students with credit in MAT 136 or higher. Prerequisite: MAT 092 or by placement.
Lecture: 3 hrs.
Course Learning Outcomes (CLOs):
Upon successful completion of this course as documented through writing, objective testing, case studies, laboratory practice, and/or classroom discussion, the student will be able to:
1. Correctly translate and solve first-degree equations and inequalities.
2. Given a relation, identify if it is a function. If so, find its domain and range, and then correctly evaluate the function given a value in its domain.*
3. Given a linear equation, correctly graph it on a rectangular coordinate system.
4. Find the equation of a line given one of the following:
A point on the line and the slope of the line
Two points on the line
A point on the line and the equation of a line parallel or perpendicular to it
5. Given a system of linear equations, correctly solve the system by graphing, substitution or the addition method.
6. Given a system of inequalities, solve the system by the graphing method.
7. Given two or more polynomials, correctly add, subtract, multiply or divide the expressions.
8. Given two or more rational expressions, correctly add, subtract, multiply or divide the expressions.
9. Given an equation involving rational expressions, correctly solve the equation.
10. Given two or more radical expressions, add, subtract, multiply and divide the expressions and write the answer in simplest form.
11. Given two complex numbers, add, subtract, multiply or divide the numbers and write the answer in the form a + bi.
12. Given a quadratic equation, solve it by factoring, taking square roots, completing the square or using the quadratic formula.
* This course objective has been identified as a student learning outcome that must be formally assessed as part of the Comprehensive Assessment Plan of the college. All faculty teaching this course must collect the required data and submit the required analysis and documentation at the conclusion of the semester to the Office of Institutional Research and Assessment.
I. FIRST-DEGREE EQUATIONS AND INEQUALITIES
a. Solving First-Degree Equations
b. Applications: Mixture and Uniform Motion Problems
c. First-Degree Inequalities
II. LINEAR FUNCTIONS AND INEQUALITIES IN TWO VARIABLES
a. The Rectangular Coordinate System
b. Introduction to Functions
c. Linear Functions
d. Slope of a Straight Line
e. Finding Equations of Lines
f. Parallel and Perpendicular Lines
g. Inequalities in Two Variables
III. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES
a. Solving Systems of Linear Equations by Graphing and by the Substitution Method
b. Solving Systems of Linear Equations by the Addition Method
c. Application Problems
d. Solving Systems of Linear Inequalities
a. Exponential Expressions
b. Introduction to Polynomial Functions
c. Multiplication of Polynomials
d. Division of Polynomials
e. Introduction to Factoring
f. Factoring Trinomials
g. Special Factoring
h. Solving Equations by Factoring
V. RATIONAL EXPRESSIONS
a. Simplify Rational Expressions
b. Multiplication and Division of Rational Expressions
c. Addition and Subtraction of Rational Expressions
d. Complex Fractions
e. Ratio and Proportion
f. Rational Equations
VI. EXPONENTS AND RADICALS
a. Rational Exponents and Radical Expressions
b. Addition and Subtraction of Radical Expressions
c. Multiplication and Division of Radical Expressions
d. Solving Equations Containing Radical Expressions
e. Complex Numbers
VII. QUADRATIC EQUATIONS
a. Solving Quadratic Equations by Factoring or by Taking Square Roots
b. Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula
c. Applications of Quadratic Equations
Effective Term: Fall 2013