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)
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

  • 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

Elementary Algebra Course Outline

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

Elementary Algebra (Algebra 1)

Numbers and Sets

  • Set or interval notation
  • The number line
  • Arithmetic and algebraic operations of basic math symbols
  • Order of operations
  • Simplifying algebraic expressions

Solving Linear Equations and Inequalities
  • Solving linear equations
  • Evaluating and solving formulas
  • Solving single variable word problems
  • Solving linear inequalities

Graphing Linear Equations
  • Graphing linear equations
  • Slope and intercepts
  • Find equations of lines
  • Parallel and perpendicular lines
  • Graphing linear inequalities in two variables

Systems of Linear Equations & Problem Solving
  • Solving by graphing, substitution, and addition methods
  • Solving applications
  • Graphing systems of linear inequalities

Exponents and Polynomials
  • Rules of exponents
  • Negative exponents
  • Scientific notation
  • Addition, subtraction, multiplication, and division of polynomials

  • Greatest common factor
  • Trinomials
  • Difference of squares
  • Difference and sum of cubes
  • Factoring by grouping
  • Solving polynomial equations by factoring including applications

Operations and Rational Expressions
  • Simplification of rational expressions
  • Addition, subtraction, multiplication, and division of rational expressions
  • Complex rational expressions
  • Solving rational equations with applications
  • Solving rational literal equations for a given variable

Tuesday, December 18, 2012