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Syllabus for MATH D005

Text: Intermediate Algebra, Aufmann/Lockwood, 8th Edition.

Course Description: Developmental course in algebra for students in need of preparation for math placement level PL1. Operations and equations with rational expressions, equations of a line, in- troduction to functions, introduction to systems of linear equations in two and three variables, absolute-value equations and inequalities, rational exponents, operations and equations with rad- icals, introduction to complex numbers, quadratic equations and various application problems on these topics. Students cannot earn credit for both MATH D005 and D004.

Mandatory Topics

1:  Review of Real Numbers
1.1: Introduction to Real Numbers
1.2: Operations on Integers
1.3: Operations on Rational Numbers
1.4: Variable Expressions
1.5: Verbal Expressions and Variable Expressions
(4 days)

2: First-Degree Equations and Inequalities
2.1: Equations in One Variable
2.2: Value Mixture and Motion Problems
2.3: Applications: Problems Involving Percent
2.4: Inequalities in One Variable
(4 days)

3: Linear Functions and Inequalities in Two Variables
3.1: The Rectangular Coordinate System
3.2: Introduction to Functions
3.3: Linear Functions
3.4: Slope of a Straight Line
3.5: Finding Equations of Lines
3.6: Parallel and Perpendicular Lines
3.7: Inequalities in Two Variables
(6 days)

4: Systems of Equations and Inequalities
4.1: Solving Systems of Linear Equations by Graphing and by Substitution
4.2: Solving Systems of Linear Equations by the Addition Method
4.4: Application Problems
(2 days)

5: Polynomials and Exponents
5.1: Exponential Expressions
5.2: Introduction to Polynomials
5.3: Multiplication of Polynomials
5.4: Division of Polynomials
5.5: Introduction to Factoring
5.6: Factoring Trinomials
5.7: Special Factoring
5.8: Solving Equations by Factoring
(8 days)

6: Rational Expressions
6.1: Introduction to Rational Functions
6.2: Operations on Rational Expressions
6.3: Complex Fractions
6.4: Rational Equations
(5 days)

7: Rational Exponents and Radical
7.1: Rational Exponents and Radical Expressions
7.2: Operations on Radical Expressions
7.3: Radical Functions
7.4: Solving Equations Containing Radical Expressions
7.5: Complex Numbers
(5 days)

8: Quadratic Equations and Inequalities
8.1: Solving Quadratic Equations by Factoring or by Taking Square Roots
8.2: Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula
8.3: Applications of Quadratic Equations
(4 days)

Note: MATH D004 is nearly identical to D005 except that it spends more time reviewing preliminary material, including prealgebra concepts.

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