Student Learning Outcomes for College Algebra
1. The students will demonstrate factual knowledge
including the mathematical notation and
termino logy used in this course. Students will read, interpret, and use the
vocabulary, symbolism,
and basic definitions used in college algebra including the Real Numbers ,
exponents, radicals,
polynomials, factoring, functions, equations, inequalities, and graphs.
2. The students will describe the fundamental principles including the laws
and theorems arising
from the concepts covered in this course. Students will identify and apply
the laws and formulas
that result directly from the definitions; for example, the quadratic formula ,
rules of exponents, and
properties of logarithms .
3. The students will apply course material along with techniques and
procedures covered in this
course to solve problems. Students will use the facts, formulas, and the
techniques learned in this
course to simplify algebraic expressions, graph functions , and solve
inequalities , equations and
systems of equations .
4. The students will develop specific skills, competencies, and thought
processes sufficient to
support further study or work in this field or related fields. Students will
acquire a level of
proficiency in the fundamental concepts and applications necessary for further
study in academic
areas requiring college algebra as a prerequisite , or for work in occupational
fields requiring a
background in algebra. These fields might include education, business, finance,
marketing, computer
science, physical sciences, and engineering, as well as mathematics.
Course Content
Textbook: College Algebra, Ninth Edition, by Gustafson and Frisk. Content
consists of the fol lowing
topics, listed according to the corresponding chapters in the text. (See
textbook “Contents.”) In dividual
instructors will supplement this core material with additional topics.
0. A Review of Basic Algebra: Sets of Real Numbers; Integer Exponents and
Scientific Notation;
Rational Exponents and Radicals ; Polynomials; Factoring Polynomials; Algebraic
Fractions.
1. Equations and Inequalities: Equations, Applications of Linear
Equations; Quadratic Equations;
Applications of Quadratic Equations; Complex Numbers; Polynomial and Radical
Equations;
Inequalities; Absolute Value .
2. The Rectangular Coordinate System and Graphs of Equations: The
Rectangular Coordinate
System; The Slope of a Nonvertical Line; Writing Equations of Lines.
3. Functions: Functions and Function Notation; Quadratic Functions.
4. Exponential and Logarithmic Functions: Exponential Functions and Their
Graphs; Logarithmic
Functions and Their Graphs; Properties of Logarithms.
6. Linear Systems: Systems of Linear Equations.
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