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Departmental Syllabus for Algebra
UPG Catalog Description: A collegelevel 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.
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