INTERMEDIATE ALGEBRA
Catalog Description
Prepares students for MAC 1105. Topics include sets, properties of real numbers,
linear
equations, exponents and radicals, products and factoring , algebraic fractions,
and
quadratic equations. This course does not satisfy Gordon Rule mathematics
graduation requirements but is a necessary prerequisite for Gordon Rule math
courses.
This course counts as elective credit only.
Credit and Contact Hours
3-0-3
Transferability
No
Prerequisite
MAT 0020, Basic Algebra II or adequate score on placement test AND 1 year high
school
algebra.
Co-requisite
None
Textbook and/or Bibliography
Lial, Margaret L.,
Hornsby, John &
McGinnis, Terry. (2010).
Intermediate Algebra. 9th
Ed.
Pearson/AddisonWesley.
ISBN: 0-321-66278-4
Course Core Objectives
Upon successful completion of MAT 1033, students will be able to:
1. Use the laws of exponents to simplify expressions with rational exponents.
2. Demonstrate the use of factoring polynomial expressions, including greatest
common factor ,
grouping, trinomials and special formulas.
3. Solve equations and applications using the zero factor property.
4. Solve quadratic equations and equations reducible to quadratic , including
those with complex
number solutions .
5. Demonstrate the use of ordinary operations with rational and radical
expressions.
6. Solve rational and radical equations and applications.
7. Graph and interpret graphs in the Cartesian coordinate system and develop
equations for lines.
8. Identify domain and range of relations; determine whether a relation is a
function.
9. Solve and graph linear systems of equations and inequalities.
Course Core Outline - Suggested
|
Class |
Section |
Topic |
|
1 |
|
Chapter 2 & 3 Review |
|
2 |
4.1 |
Rectangular Coordinate System; Graphing Linear Equations |
|
3 |
4.2, 4.3 |
Slope of a Line; linear Equations in Two Variables |
|
4 |
4.4 |
Linear Inequalities in Two Variables |
|
5 |
4.5 |
Functions |
|
6 |
5.1, 5.3 |
Systems of Linear Equations – 2 variables, Applications |
|
7 |
|
|
|
8 |
6.1, 6.2 |
Integer Exponents & Scientific Notation/ Adding and Subtracting |
|
Polynomials |
|
|
|
9 |
6.3, 6.4 |
Polynomial Functions/ Multiplying Polynomials |
|
10 |
6.5 |
Dividing Polynomials/ Optional: Appendix C - Synthetic Division |
|
11 |
|
|
|
12 |
7.1 |
GCF/Factoring by Grouping |
|
13 |
7.2, 7.3 |
Factoring Trinomials /Special Factoring |
|
14 |
7.4, 7.5 |
General Approach to Factoring/ Solving Equations |
|
15 |
|
|
|
16 |
8.1 |
Rational Expressions and Functions Multiplying and Dividing |
|
17 |
8.2 |
Adding and Subtracting Rational Expressions |
|
18 |
8.3 |
Complex fractions (optional) |
|
19 |
8.4 |
Equations with Rational Expressions |
|
20 |
8.5 |
Applications |
|
21 |
|
|
|
22 |
9.1, 9.2 |
Radical Expressions, Rational Exponents |
|
23 |
9.3 |
Simplifying Radical Expressions |
|
24 |
9.4, 9.5 |
Adding & Subtracting, Multiplying & Dividing Radical Expressions |
|
25 |
9.6, 9.7 |
Equations with Radicals/ Complex Numbers |
|
26 |
|
|
|
27 |
10.1 |
The Square Root Property & Completing the Square |
|
28 |
10.2 |
Quadratic Formula |
|
29 |
10.3 |
Equations Quadratic in Form |
|
30 |
|
|
| |
|
|
|
Special Requirements |
|
None |
|
|
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