Course Summary
Credit Type:
ACE Course Number:
24 weeks (126 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 college algebra


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 Course 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
  • Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential 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:

Supplemental Materials

Other offerings from Excel Education Systems, Inc.