Course

Course Summary
Credit Type:
Course
ACE ID:
CSRA-0003
Organization's ID:
Math 1A
Organization:
Location:
Online
Length:
10 weeks (30 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Vocational-Certificate 3 Developmental Math
This course should not be counted as meeting a college level General Education Requirement for mathematics.
Description

Objective:

The course objective is to acquire a solid foundation in algebra; understand the properties of linear, polynomial and rational functions, including inequalities and complex numbers; and work with various types of functions in symbolic, graphical, numerical and verbal form.

Learning Outcomes:

  • Demonstrate proper use of function notation
  • Solve quadratic equations and inequalities
  • Define function
  • Identify independent and dependent variables
  • Determine domain and range of graphical and symbolic functions
  • Utilize transformations to graph functions starting from standard functions
  • Translate among graphical, symbolic, verbal and tabular descriptions of functions
  • Solve linear equations and inequalities
  • Solve absolute value equations and inequalities

General Topics:

  • Introduction, algebra and real numbers
  • Exponents and radicals
  • Polynomials, basic operations and factoring
  • Rational expressions and basic operations
  • Linear equations
  • Linear inequalities
  • Absolute value in equations and inequalities
  • Complex numbers
  • Quadratic equations
  • Additional equation
  • Solving techniques
  • Cartesian coordinate system
  • Distance in the plane
  • Equations of a line
  • Linear equations and models
  • Review functions
  • Graphing function
  • Transforming functions
  • Quadratic functions
  • Operations on functions
  • Composition
  • Inverse functions
  • Polynomial functions and models
  • Real zeros and polynomial inequalities
  • Complex zeros and rational zeros of polynomials
  • Rational functions and inequalities
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials
  • Computer Based Training
  • Discussion
  • Practical Exercises
Supplemental Materials