Thursday, December 27, 2012

Intermediate Algebra Course Outline

Below you will find the topics for Intermediate Algebra as published by College of the Sequoias in their course outline:

Intermediate Algebra (Algebra II)
COURSE TOPICS:
Absolute Value Equations and Inequalities

  • Solve absolute value equations and inequalities

Radical Expressions and Equations

  • Properties of radicals
  • Rational exponents
  • Simplify radical expressions
  • Operations with radicals
  • Solve radical equations
  • Solve radical equations which come from real-world applications
  • Operations with complex numbers
Quadratic Equations
  • Solve quadratic equations using factoring, extracting roots, completing the square, and quadratic formula
  • Solve applications (for example: max/min problems)
  • Graph quadratic equations
  • Solve quadratic and rational inequalities
  • Solve equations that are quadratic in form

Functions
  • Understand and apply the definition of a function
  • Function notation
  • Apply the vertical and horizontal line tests
  • Graph and determine the domain and range of the core functions
  • Evaluate and apply the algebra of functions including addition, subtraction, multiplication, division, and composition
  • Find the inverse of core functions

Logarithmic and Exponential Functions
  • Graph logarithmic and exponential functions
  • Apply the properties of logarithmic functions
  • Solve logarithmic and exponential equations
  • Solve applications of logarithmic and exponential functions including exponential growth and decay, pH, compound and continuous interest, carbon dating, half-life, and earthquake magnitudes

Conic Sections
  • Apply the midpoint and distance formulas
  • Convert the following conic sections into standard form by completing the square: parabolas, circles, ellipses, and hyperbolas
  • Identify and graph the following conic sections: parabolas, circles, ellipses, and hyperbolas

Optional Topics
  • Solve 3X3 systems of linear equations
  • Solve nonlinear systems of equations