# Course

Course Summary
Credit Type:
Course
ACE ID:
EXCL-0001
Location:
Online
Length:
24 weeks (126 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 college algebra
Description

## Objective:

The course objective is to cover polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; and analytic geometry.

## Learning Outcomes:

• analyze and investigate properties of functions
• synthesize results from the graphs and/or equations of functions
• apply transformations to the graphs of functions
• recognize the relationship between functions and their inverses graphically and algebraically
• solve and apply rational, linear, polynomial, radical, absolute value, exponential, and logarithmic equations and solve linear, nonlinear, and absolute value inequalities
• solve systems of equations and inequalities
• apply techniques for finding zeros of polynomials and roots of equations
• analyze and investigate properties of functions
• apply functions and other algebraic techniques to model real world STEM applications
• analyze conics algebraically and graphically
• use formulas to find sums of finite and infinite series

## General Topics:

• Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic: definitions, evaluation, domain and range
• Inverses of functions
• Algebra of functions
• Graphs of functions including asymptotic behavior, intercepts, Inverses of functions
• Equations including rational, linear, polynomial, radical, exponential, absolute value, logarithmic
• Linear, nonlinear, and absolute value inequalities
• Systems of equations and inequalities
• Characterization of the zeros of polynomials
• Properties and applications of complex numbers
• Properties of conic sections
• Sequences and series
Instruction & Assessment

## Instructional Strategies:

• Audio Visual Materials
• Computer Based Training

## Methods of Assessment:

• Quizzes
• Proctored Final Examination

## Minimum Passing Score:

70%
Supplemental Materials

(EXCL-0020)
(EXCL-0013)
(EXCL-0022)
(EXCL-0019)