# Departmental Syllabus for Algebra

**UPG Catalog Description: **A college-level algebra
course that covers topics

such as operations with polynomials and rational expressions, linear equations

and inequalities in one variable , linear equations in two variables and their

graphs, factoring , roots, and radicals. Additional topics such as complex
fractions,

functions and their graphs , logarithms, and exponential functions are

covered in less depth.

** Prerequisite : **Placement or Math 6000 with a grade
of C or better.

**Current Text:** Intermediate Algebra by D. Franklin Wright, 5th Edition.

**Topics to covered:
1. Review of Real Numbers , Solving Equations , and Exponents:
•
**Properties of Real Numbers

**•**Operations with Real Numbers

**•**Linear equations and absolute value equations

**•**Evaluating and solving formulas

**•**Applications

**•**Linear inequalities and absolute value inequalities

**•**Properties of exponents

**2. Straight Lines and Functions:
•
**Cartesian coordinate system and straight lines

**•**Slope intercept form

**•**Point intercept form

**•**Introduction to functions

**•**Graphing linear inequalities

**3. Systems of Linear Equations :
•
**Systems of linear equations in two variables and applications

**•**Systems of linear equations in three variables*

**•**Graphing systems of linear inequalities*

**4. Polynomials :
•
**Addition and subtraction of polynomials

**•**Multiplication of polynomials

**•**Division of polynomials and synthetic division

**•**Introduction to factoring

**•**Special factoring techniques

**•**Polynomial equations and applications

**5. Rational Expressions :
•
**Multiplication and division of rational expressions

**•**Addition and subtraction of rational expressions

**•**Complex fractions

**•**Equations and inequalities with rational expressions

**•**Applications (Variation*)

**6. Roots , Radicals , and Complex Numbers:
•
**Roots and Radicals

**•**Rational Exponents

**•**Arithmetic with Radicals

**•**Functions with Radicals

**•**Introduction to Complex Numbers*

**•**Multiplication and division with Complex Numbers*

**7. Quadratic Equations :
•
**Completing the square

**•**The Quadratic Formula

**•**Applications

**•**Equations with Radicals

**•**Equations in quadratic form

**8. Quadratic Functions:
•
**Quadratic functions (Parabolas)

**9. Exponential and Logarithmic Functions :
•
**Operations of functions

**•**Inverse functions

**•**Exponential functions

**•**Logarithmic functions

**•**Properties of Logarithms

**•**Logarithmic and exponential equations

**•**Applications*

NOTE:
means if times allows .

NOTE: The order of presentation of the contents of this syllabus, exams, and

grading policies are entirely at the discretion of the individual instructor.

Prev | Next |