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The Algebra Buster


May 22nd









May 22nd

Course Outline for Intermediate Algebra

I. CATALOG/CLASS SCHEDULE DESCRIPTION
Fundamental ope rations of algebra ; linear and quadratic equations and inequalities ; exponents and
polynomials
; rational expressions; radicals and fractional exponents ; graph of a straight line; linear and
quadratic system of equations; conic sections ; exponential and logarithmic functions . (L)

I. COURSE CONTENT

A. Course Purpose
To develop algebraic thinking .
To provide skills in in termediate algebra in preparation for transfer -level math courses.

B. Course Objectives
At the conclusion of this course, the student will be able to:
1. Simplify and manipulate algebraic expressions containing fractions, integral and fractional
exponents, and radicals.
2. Simplify and manipulate complex numbers and solve equations with complex roots.
3. Solve linear, quadratic, and rational equations and inequalities.
4. Graph parabolas and circles . (Optional: Graph ellipses an hyperbolas .)
5. Use a calculator to evaluate the exponential and logarithm functions.
6. Solve exponential and logarithm equations, and applications using these functions.

C. Course Topical Outline
1. Introduction.
a. Set of numbers.
b. Exponents and polynomials.
c. Rational expressions.
d. Radical expressions.

1. Solving equations and inequalities.
a. Solve quadratic equations.
b. Solve rational equations.
c. Solve exponential and logarithm equations.
d. Solve systems of linear and quadratic equations.
e. Solve quadratic and rational inequalities.

1. Applications.
a. Conic sections (parabola and circle). (Optional: ellipse and hyperbola .)
b. Exponential growth and decay.

D. Critical Thinking
Activities that require critical thinking include:
Complete math problems.
• Recognize patterns
• Define problems
• Reason deductively
• Gauge the reasonableness of answers

III. GENERAL METHODS OF INSTRUCTION
Please indicate all appropriate methods of instruction
Lecture/discussion.

IV. METHODS OF ASSESSMENT
Please indicate all methods of assessment
May include objective tests, quizzes, written homework, class performance, skills test, and attendance.

V. MATERIALS OF INSTRUCTION

A. Textbook(s)
K. Elayn Martin-Gay, Intermediate Algebra, Prentice Hall.

B. Other Material (if applicable)
Scientific calculator: Texas Instruments TI-30X IIS or equivalent.

VI. AS SIGNMENTS

Degree Applicable Course:

A. Reading Assignments

B. Writing Assignments

C. Outside Assignments
Reading assignments; problem solving exercises/activities; skills practice.

VII. APPROPRIATENESS TO COLLEGE MISSION (Check all that apply):

X Lower Division Degree Credit
___ Community Interest
___ Occupational Preparation
___ Upgrade of Skills
___ Transfer Course
X Remedial

 

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