Pre-calculus Contents F
      Transition of the polynomial expression from the general to source form and vice versa
         Deriving the coordinates of translations formulas and the coefficients of the source polynomial function
         Quadratic function
         Cubic functions
         Quartic functions
      Sigma notation of the polynomial
         Coefficients of the source polynomial in the form of a recursive formula
         Coefficients of the source polynomial function are related to its derivative at x0
      The general form or translatable form of the polynomial
         The coordinates of translations and the coefficients of the source function formulas
         Quadratic formulas
         Cubic formulas
         Quartic formulas
         Quintic formulas
         Sextic formulas
      Translated monomial (or power) function
         Translated monomial function graphs
         Translated sextic function example
     Rational Functions
      Basic properties of rational functions
      The graph of the reciprocal function  f (x) = c/x, equilateral or rectangular hyperbola
      Translation of the reciprocal function  f (x) = (ax + b)/(cx + d), linear rational function
      Graphing rational functions
         Vertical asymptotes of rational functions
         Horizontal asymptotes of rational functions
         The oblique or slant asymptote of rational functions
         Graphs of rational functions examples
     Exponential and Logarithmic Functions and Equations
      Inverse functions
      Exponential functions
      Logarithmic functions
         Translated logarithmic and exponential functions
         Rules and properties of logarithms
         Natural logarithm and common logarithm conversions
         Changing the base - different logarithmic identities
      Exponential and logarithmic equations
         Solving exponential and logarithmic equations
         Exponential equations
         Logarithmic equations
      Trigonometric Functions
      Calculation of values of trigonometric functions
         Trigonometric reduction formulas - the reference angles
         Calculation of values of trigonometric functions of an arbitrary angle x examples
      Basic relationships between trigonometric functions of the same angle
         Basic relationships between trigonometric functions of the same angle shown in the unit circle
         Basic relationships between trigonometric functions of the same angle shown in the tabular form
         Basic relationships between trigonometric functions of the same angle examples
      The addition formulas and related identities
         The sum and difference formulas for the trigonometric functions
         Deriving the addition formulas for sine and cosine functions
         The addition formulas for tangent and cotangent functions
      Trigonometric functions of double angles, double angle formulas
         Trigonometric functions expressed by the half angle
         Trigonometric functions of double angles expressed by the tangent function
         Trigonometric functions expressed by the tangent of the half angle
      Half angle formulas
      Trigonometric functions expressed by the cosine of the double angle
      Sum to product and product to sum formulas or identities
         Sum to product formulas for the sine and the cosine functions
         Sum to product formulas for the tangent and the cotangent functions
      The product to sum formulas for the sine and cosine functions
      Trigonometric identities examples
Pre-calculus Contents
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