# Intermediate Algebra Syllabus

COURSE DESCRIPTION:

Reviews real numbers , polynomials, algebraic functions , first-degree equations

and inequalities. Studies quadratic equations , exponents, radicals and rational

expressions and equations , complex numbers, graphing equations and inequalities
in

two variables , systems of equations in two and three variable, applications of
first and

second degree equations and an introduction to functions.

Prerequisites: C or better in Math 25 or Math 26, or placement in Math 27.

COURSE OBJECTIVES:

To review the basic operations of sets, especially the set of real numbers .

To acquire proficiency in solving linear equations and linear inequalities,

including their applications.

To develop an understanding of (integer) exponents, their basic properties,

and the operations of polynomials, including solving polynomial equations

(up through the 3rd degree).

To develop an understanding of rational expressions , their basic operations,

and of solving (basic) rational equations.

To develop an understanding of rational exponents, radical expressions,

their basic operations, complex numbers, and solving radical equations.

To acquire proficiency in the graphing of linear equations (including an

understanding of their properties & applications) and linear inequalities.

To acquire proficiency in solving quadratic equations, and an initial

understanding of their applications.

To acquire proficiency in solving systems of linear equations.

To develop an understanding of functions, especially linear, quadratic, and

polynomial functions.

**In addition, as in most mathematical courses, students will be presented
with the challenge of utilizing critical thinking along with development
of communicating their analyses in a neat and ordered fashion .
**

INSTRUCTIONAL MATERIALS:

Textbook:

INTERMEDIATE ALGEBRA for College Students

by Robert Blitzer ) Fourth Edition

Calculators:

A scientific calculator is required .

Recommended:

Graph paper or engineering pad;

A loose-leaf notebook for storing HomeWork, exams,

quizzes, and notes.

**UNIT 1. Algebra, Mathematical Models & Problem Solving
**Algebraic Expressions and Real Numbers; Operations with Real Numbers and

Simplifying Algebraic Expressions; Graphing Equations; Solving Linear

Equations; Problem Solving and Using Formulas; Properties of Integral

Exponents; Scientific Notation.

**UNIT 2. Functions**

Introduction to Functions; Algebra of Functions; Linear Functions & Slope;

Point-Slope Form of the Equation for a Line.

**UNIT 3. Systems of Linear Equations**

Systems of Linear Equations in Two Variables; Problem Solving and Business

Applications; Systems of Linear Equations in Three Variables.

**UNIT 4. Inequalities & Problem Solving**

Linear Equalities; Compound Inequalities; Equations with Absolute Value;

Linear Inequalities in Two Variables .

**UNIT 5. Polynomial Expressions, Functions, & Factoring**

Intro to Polynomials & Polynomial Functions; Multiplication of Polynomials;

Greatest Common Factors; Factoring Trinomials; Factoring Special Forms;

General Factoring Strategy; Polynomial Equations and Their Applications.

**UNIT 6. Rational Expressions, Functions & Equations**

Rational Expressions & Functions; Multiplying & Dividing; Compound Rational

Expressions; Division of Polynomials; Rational Equations; Formulas &

Applications with Rational Equations; Modeling Using Variation.

**UNIT 7. Radical Expressions, Functions & Rational Exponents**

Radical Expressions & Functions; Operations on Radicals; Rational Exponents;

Multiplying & Simplifying Radical Expressions; Adding, Subtracting & Dividing

Radical Expressions; Multiplying with More Than One Term & Rationalizing

Denominators ; Radical Equations; Complex Numbers.

**UNIT 8. Quadratic Equations & Functions**

Square Root Property; Quadratic Formula; Quadratic Functions; Equations in

Quadratic Form; Polynomial Inequalities.

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