# Matrix Algebra

## II. Catalog Description

Prerequisite: MATH-020 Elementary Algebra or appropriate
score on placement test.

This course is for the student whose high school preparation in Algebra or
placement

score indicate insufficient knowledge or skill for success in college courses in
statistics or

precalculus. The course meets four hours each week; three hours in a lecture
setting and

one hour in guided study sessions. The topics include solving linear and
quadratic

equations and inequalities, graphing linear and quadratic equations, rational
and radical

expressions, integer and rational exponents, absolute value equations,
introduction to

functions and their graphs and systems of linear equations. Serves as a
prerequisite for

MATH 110, Statistics I, MATH 112, Precalculus I and MATH 114H, Precalculus

Honors

## III. Statement of Course Need

Intermediate Algebra serves as a prerequisite for college
level math courses for students

who are in a math-intensive program. This course is designed for students in
math-intensive

AA, AS, and in some AAS programs before entering college-level work.

## IV. Place of Course in College Curriculum

This is a developmental course and carries no college credit.

## V. Outline of Course Content

A. Basic Concepts (review)

1. Real numbers

2. Powers, square roots, order of operations

3. Exponents, scientific notation

4. Variable expressions

B. Linear Equations and Inequalities

1. First-degree equations with one unknown; formulas (review)

2. Absolute value equations and inequalities

3. Application Problems

4. Linear inequalities (review)

5. Compound inequalities (review)

C. Equations and Inequalities in Two Variables and Functions

1. Graphing (review)

2. Slope; equations of a line (review)

3. Linear inequalities in two variables

4. Introduction to functions

5. Linear functions and their graphs

D. Systems of Linear Equations and Inequalities

1. Systems in two variables

2. Applications

3. Systems of linear inequalities

E. Polynomials

1. Operations with polynomials

2. Common factors; factoring by grouping (review)

3. Factoring trinomials (review)

4. Special cases of factoring

5. Solving polynomial equations by factoring

F. Rational Expressions and Equations

1. Operations with rational expressions

2. Complex rational expressions

3. Rational equations and inequalities; applications

G. Rational Exponents and Radicals

1. Exponents; radical expressions

2. Operations with radicals

3. Radical equations and their applications

4. Complex numbers

H. Quadratic Equations and Inequalities

1. Quadratic functions

2. Solving quadratic equations by completing the square and the quadratic
formula.

3. Equations transformed into quadratic form

4. Quadratic applications

5. Quadratic Inequalities in one variable

I. Conic Sections

1. Distance formula and circle

2. Parabola

## VI. Educational Goals and Learning Outcomes

**A. Educational Goals:**

Students will:

1. Students will be able to produce works that demonstrate
their ability to move

from the specific to the general, think abstractly about a situation, and
reconcile

three different perspectives (symbolic, graphical, and numerical) into a

"connected whole." (G. E. 1)

2. Students will be able to demonstrate their ability to reason quantitatively

and symbolically to solve problems. (G. E. 7)

**B. Student Learning Outcomes:**

The student will be able to:

1. Solve and/or graph linear and quadratic equations and
inequalities.

2. Develop the equation of lines in standard form, point/slope form, and

slope/intercept form.

3. Solve systems of linear equations and inequalities.

4. Solve rational and radical equations.

5. Perform operations on polynomial-based expressions, expressions that contain

integer and rational exponents, and rational and radical expressions.

6. Solve application problems.

## VII. Modes of Teaching and Learning

A. lecture/discussion

B. small-group/lab work

## VIII. Papers, Examinations, and other Assessment Instruments

A. laboratory products/homework/quizzes

B. chapter tests

C. departmental final exam

## IX. Grade Determinants

A. chapter tests

B. departmental final exam

C. laboratory products/homework/quizzes

The departmental cumulative final exam will be used to
assess all the learning

outcomes listed in Section VI, Part B.

## X. Texts and Materials

Suggested Textbook: Intermediate Algebra, 4th edition (or
latest edition), 2002, by

Tobey and Slater; Houghton Mifflin, ISBN 0-13-032837-5

(Please Note: The course outline is intended only as a
guide to course content and resources. Do not purchase

textbooks based on this outline. The RVCC Bookstore is the sole resource for the
most up-to-date information about

textbooks.)

## XI. Resources

No specific resources are necessary.