# College Algebra with Review

**Course Description**

MA 131. College Algebra with Review . 5 hours credit. Prerequisite: Placement
score or

MA 120 or MA 125 with a C or better. This course will enable the student to
interpret

mathematical symbols and notation, simplify expressions, factor polynomials ,
solve

equations (including absolute value, quadratic and systems of linear equations),

perform operations on radical expressions, write equations of lines, and
evaluate

functions. The student will begin to conceptualize abstract ideas. The course

incorporates some review topics and moves at a slower pace than MA 135.

**Course Relevance**

The concepts learned in this course will improve the student in math skills,
leading

to success in subsequent courses. The student’s ability to think analytically
will

improve. Discipline, perseverance and the ability to follow directions are
necessary

for success, so these skills will also improve. Mathematical literacy will be

increased, leading to informed choices when making decisions in life.

**Required Materials**

MA 131 Textbook:

Bittinger, M., Ellenbogen, D., (2006). Collge Algebra (3^{rd} ed.).
Addison Wesley

Graphing calculator : The Texas Instrument Model 83+ or Model 84 is required for

enrollment in College Algebra. The student will be responsible for the knowledge

necessary to use any other make or model of calculator besides those listed

above.

Online materials: Same as above.

Supplemental Materials:

Hornsby, John, Lial, Margaret L., & Rockswold, Gary K. (2003). A graphical
approach to

college algebra (Student Solutions Manual ) (3 ^{rd} ed.). Boston:
Addison/Wesley

Publishing Company.

**Learning Outcomes**

The intention is for the student to be able to:

1. Use problem solving to be successful in future learning

2. Gain confidence in personal mathematical ability

3. Use and interpret mathematical symbols and notation

4. Perform mathematical procedures and techniques correctly

5. Conceptualize abstract ideas

**Primary PACT Skills that will be DEVELOPED** and/or
documented in this course

Through the student’s involvement in this course, he/she will develop his/her
ability in

the following primary PACT skill areas:

1. Problem Solving

• Through the solution of multi- step problems

• Through the solution of word problems

• Field-Related Technology

• Through the use of graphing calculators

Secondary skills (developed but not documented): Time Management

Reading

Listening

**Major Summative Assessment Task:**

The learning outcomes and the primary Learning PACT skill will be demonstrated
by:

1. Common final exam including three open ended multi-step questions which

require use and interpretation of mathematical symbols and notation; the use of
a

graphic calculator and the conceptualization of abstract ideas

2. Completion of a self assessment inventory which measures confidence in
personal

math ability

**Course Content**

I. Themes – Key recurring concepts that run throughout this course: A. Solving
equations

B. Graphing

C. Following directions

D. Analyzing functions

II. Issues – Key areas of conflict that must be understood in order to achieve
the intended outcome:

A. Graphing calculator usage

B. Recognizing which technique to use

C. Remembering prerequisite material

III. Concepts – Key concepts that must be understood to address the issues: A.
Notation and terminology

B. Graphing

C. Functions

IV. Skills/Competencies – Actions that are essential to achieve the course
outcomes:

A. Solving equations and inequalities

B. Modeling

C. Graphing

D. Determining equations of lines, parabolas and circles

E. Operations with complex numbers

F. Use and apply logarithms and exponential functions

**Learning Units**

I. Review of algebra concepts

A. Review of exponents and polynomials

B. Review of factoring

C. Review of rational expressions

D. Review of negative and rational exponents

E. Review of radicals

II. Linear functions, equations, and inequalities

A. Real numbers and coordinate systems

B. Domain and range

C. Linear functions

D. Slope

E. Graphs of linear functions

F. Linear inequalities

III. Analysis of graphs of functions

A. Function intervals

B. Zeros

C. Symmetry

D. Function graphs

E. Translations and reflections

F. Absolute value functions

G. Piecewise-defined functions

H. Function operations and composition

IV. Polynomial functions

A. Operations with complex numbers

B. Quadratic functions and graphs

C. Solving quadratic functions

D. Solving quadratic inequalities

E. Higher degree polynomials

F. Long division and synthetic division

G. Zeros, complex zeros , and rational zeros

V. Rational, power, and root functions

A. Rational functions

B. Vertical and horizontal asymptotes

C. Graphing rational functions

D. Solving rational functions and inequalities

E. Power and root functions

F. Graphs and equations of circles and parabolas

VI. Inverse, exponential, and logarithmic functions

A. Inverse functions and their graphs

B. Exponential functions and their graphs

C. Solving exponential functions

D. Logarithm functions

E. Properties of logarithms

F. Graphs of logarithms

G. Solving exponential and logarithmic equations

VII. Analytic geometry

A. Equations and graphs of circles

B. Equations and graphs of parabolas

VIII. Systems of equations

A. Solving systems of equations

B. Graphing systems of equations

**Learning Activities**

Classroom: Independent and collaborative learning activities will be assigned to
assist

the student to achieve the intended learning outcomes. Activities identified in
the

syllabus, such as class discussion, lecture, reading, group work or projects
will also

contribute to learning.

Online: Online teaching/learning activities such as the following will assist
the student to

achieve course outcomes: posted web pages, threaded discussions, written

assignments, assigned reading, and interaction with instructor through e-mail
and

discussion boards.

**Grade Determination**

Grade determination will be based on assessment tasks and other activities such
as

exams, assignment or attendance that the instructor identifies in the syllabus.

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