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  Table of Content    
 
Introduction to Algebra (Review)
 
Basic Concepts
  • Monomials (Review)
  • Polynomials (Review)
  • Factoring (Review)
  • Factoring Polynomials (ax2 + bx + c) (Review)

 
Linear Equations
  • Linear Equations with One Variable (Review)
  • Linear Equations with Two Variables (Review)
    • Solve Linear Systems by Graphing (Review)
    • Solve Linear Systems by Substitution (Review)
    • Solve Linear Systems by Elimination (Review)
    • Concept of Matrices
    • Solve Linear Systems by Matrices
    • Solve Linear Systems by Determinants
  • Linear Equations with Three Variables
    • Analytic Geometry in Three Dimensions
    • Solve Linear Systems (3 Variables) by Graphing
    • Solve Linear Systems (3 Variables) by Substitution
    • Solve Linear Systems (3 Variables) by Elimination
    • Solve Linear Systems (3 Variables) by Matrices
    • Solve Linear Systems (3 Variables) by Determinants

 
Non-Linear Equations
  • Quadratics with One Variable
    • Solve Quadratic Equations by Graphing (Review)
    • Solve Quadratic Equations by Factoring (Review)
    • Solve Quadratic Equations by Completing the Square (Review)
    • Solve Quadratic Equations by the Quadratic Formula (Review)
  • Quadratic Systems

 
Inequalities, Axioms, and Properties of Inequalities (Review)
  • Graphing on a Number Line and Graphing Inequalities (Review)
  • Solve Linear Inequality with One Variable (Review)
  • Solve Systems of Linear Inequalities with One Variable (Review)
  • Solve Quadratic Inequalities (Review)
  • Solve Systems of Quadratic Inequalities (Review)
  • Solve Absolute Value Equations (Review)
  • Inequalities Containing Absolute Value (Review)

 
Conic Sections
  • Conic Sections: Circle
  • Conic Sections: Parabola
  • Conic Sections: Ellipse
  • Conic Sections: Hyperbola

 
Exponential and Logarithmic Functions
  • Exponents and Exponential Functions
  • Logarithms and Logarithmic Functions
  • Exponential and Logarithmic Equations

 
Trigonometry
  • Relations, Domain and Range (Review)
  • Review of Functions
  • Functions of Acute Angles
    • Sine (abbr. sin)
    • Cosine (abbr. cos)
    • Tangent (abbr. tan)
  • Functions of General Angles
    • Reducing Functions of a General Angle to Functions of an Acute Angle
    • Functions of Negative Angles
    • Circular Functions
    • Periodic Functions
    • Graph of Sine
    • Graph of Cosine
    • Graph of Tangent
  • Law of Sines
  • Law of Cosines
  • Geometry of Complex Numbers

 
Sequences and Series
  • Arithmetic Sequence
  • Arithmetic Series
  • Geometric Sequence
  • Geometric Series

 
Additional Topics
  • Introduction to Counting Methods
  • Permutations
  • Combinations
  • Binomial Coefficients and Binomial Theorem
  • Introduction to Statistics (Review)
  • Introduction to Probability (Review)