Course Syllabus
| Course Number: |
|
Math 169 |
| Course Title: |
|
Intermediate Algebra |
| Credit Hours: |
|
4 |
| Prerequisite(s): |
|
Math 097 or equivalent |
| Corequisite(s): |
|
None |
| Contact Hours Per Week: |
|
4 |
| Semester Contact Hours: |
|
60 |
| Catalog Description: |
|
The scope of this course is equivalent to a second year high school algebra course.
Topics include: the real number system, polynomials, linear equations, inequalities,
absolute value, radicals and exponents, complex numbers, quadratic equations and inequalities,
linear and quadratic functions, inverse functions, lines and linear systems, non-linear systems,
systems of inequalities and determinants.
This course is offered in the self-paced format as MTH 169A and MTH 169B.
This course transfers to some four-year institutions.
|
| Textbook #1: |
|
Intermediate Algebra |
| Author(s): |
|
Bila, Bottorf, Merritt, Ross |
| Publisher: |
|
Instructional Technologies, Inc. |
| Edition: |
|
Third |
| Required Equipment and Supplies: |
|
Graphing Calculator (TI-83 or current department recommended model) |
| Supplemental Reference Materials: |
|
none |
| Primary Purpose of Course: |
|
 |
Program Requirement |
 |
Basic Skills |
|
College Transfer |
|
Core Curriculum |
|
Industry Training |
|
Personal development |
|
Other (specify) |
|
|
|
| |
Course Objectives:
|
| 1. |
The student will understand set ideas, the difference
between sets of whole numbers, integers, rationals,
irrationals and reals, and will perform addition, subtraction,
multiplication and division on elements of these sets.
|
| 2. |
The student will add, subtract, multiply and factor polynomials, including
special products, perfect squares
and the sum and difference of two squares or of two cubes.
|
| 3. |
The student will reduce, multiply,
divide, add and subtract rational expressions
and simplify complex fractions.
|
| 4. |
The student will solve linear equations and inequalities, including absolute values.
|
| 5. |
The student will add, subtract, multiply and divide irrational numbers, using simplest radical form, will
simplify integer and rational exponents and will add, subtract, multiply and divide complex numbers.
|
| 6. |
The student will solve quadratic equations by factoring, completing the square
and using the quadratic formula, will work with the discriminant and solve quadratic inequalites.
|
| 7. |
The student will work with function notation and graphs for linear,
quadratic and inverse functions, and will understand slope and the equation of a line.
|
| 8. |
The student will solve systems of linear equations using graphical,
addition and substitution methods and Cramer's Rule, and will solve non-linear
systems of inequalities.
|
| Unit |
Title |
Content |
| 1. |
Real Number System |
Sets, Whole Numbers, Integers, Rational and
Irrational Numbers, Real Numbers |
| 2. |
Polynomials |
Addition, Subtraction, Multiplication,
Factoring of Polynomials, Special Products |
| 3. |
Rational Expressions |
Addition, Subtraction, Multiplication,
Division of Rational Expressions, Complex Fractions |
| 4. |
Linear Equations, Inequalities and Absolute Value |
Solutions of Linear Equations and Inequalities, Absolute Value |
| 5. |
Irrational and Complex Numbers |
Simplest Radical Form, Integer and Rational Exponents, Complex Numbers |
| 6. |
Quadratic Equations and Inequalities |
Solving Quadratic Equations and Inequalities, The Discriminant |
| 7. |
Functions and Graphs |
Function Notation, Equations of the Line, Quadratic and Inverse Functions |
| 8. |
Systems of Equations |
Graphical, Addition and Substitution Methods,
Cramer's Rule, Systems of Inequalities |