College Algebra Contents
     Real Numbers
      The set of real numbers
      Rational numbers
         Decimal representation of rational numbers or fractions
         Expanded form of decimal number, decimal fractions
         Terminating decimals
         Recurring decimals (Infinite decimals, period)
         Purely recurring decimals
         Mixed recurring decimals
         Converting decimal number to a fraction
         Converting terminating decimal to a fraction
         Converting the purely recurring decimal to a fraction
         Converting the mixed recurring decimal to a fraction
         Exponential or scientific notation of decimal numbers
         Converting from a number to scientific notation
         Converting from scientific notation to a decimal number
      Irrational numbers
         Rationalizing a denominator
      The Real Number Line, and Relations
         Inequalities of real numbers
         Relations, less than and greater than
      Interval definition and notation
         Closed and open intervals (unbounded intervals)
      Distance and absolute value
         Properties of absolute value
      Properties of the Real Numbers
         Properties of exponents
         The rules for powers (or exponents)
         Simplifying an exponential expression
      Order of Operations
      Absolute Value Equations
         Solving absolute value equations
      Linear Inequalities
         Solving inequalities
         Properties of inequalities
         Examples of solving single linear inequalities
         Solving compound (double) inequalities
      Absolute Value Inequalities
         Solving linear inequalities with absolute value
         Examples of solving linear inequalities with absolute value
      Quadratic Equation  x2 = aa > 0
      Radicals (roots)
      Square root
         Properties of square roots
         Adding, subtracting, multiplying and dividing square roots
         Rationalizing a denominator
      The Graph of the Quadratic Function  f (x) = x2
      Translation of the source quadratic function in the direction of the y-axis,
         quadratic function of the form  f (x) = x2 + y0
      Quadratic equation  x2 = aa > 0
      The Principal Square Root Function - the inverse of the square of x (or quadratic) function
         Definition of the inverse function
      The graph of the principal square root function
         Translation of the principal square root function in the direction of the x-axis
      Radicals (roots) and/or Exponentiation with Fractional (rational) Exponent
         Rules and properties of radicals
      Rules and properties of radicals and/or fractional exponents
         Simplifying radical expressions
      Operations on radical expressions
         Adding, subtracting and multiplying radicals
      Rationalizing a denominator
      Radicals and/or fractional (rational) exponents
      Rational Expressions
         Simplification of rational expressions, reducing to lowest terms
      Addition and subtraction of rational expressions
      Multiplication and division of rational expressions
         Solving complex rational expressions
      Imaginary and Complex Numbers
      Imaginary numbers basic definitions
         Imaginary unit
      Complex Numbers
         Real and imaginary parts
         The complex plane
         The set of all complex numbers C
         Absolute value, modulus of a complex number
         Complex conjugates
      Addition and subtraction of complex numbers
      Multiplication and division of complex numbers
      Polar or Trigonometric Notation of Complex Numbers
         Multiplication and division of complex numbers in the polar form
         Exponentiation and root extraction of complex numbers in the polar form
         Powers and roots of complex numbers, use of de Moivre’s formulas
      Euler’s formula, relationship between trigonometric functions and the complex exponential function
     
 
 
 
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