College Algebra Contents
Real Numbers The set of real numbers Rational numbers

Terminating decimals
Recurring decimals (Infinite decimals, period)
Purely 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 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 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 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 x2 = aa > 0 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 and/or fractional exponents Operations on radical expressions  Radicals and/or fractional (rational) exponents   Multiplication and division of 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   