College Algebra: In Simplest Terms Episode Guide

Episode Guide

• Absolute Value

  Uses for absolute values in equations and inequalities.

• Arithmetic Sequences and Series

  Basic properties and formulas; sums of arithmetic series.

• Circles and Parabolas

  Circles and parabolas: terminology and formulas.

• Complex Numbers

  Complex numbers in basic functions and quadratic equations.

• Composition and Inverse Functions

  Composites and inverses of functions applied to cost.

• Ellipses and Hyperbolas

  Developing equations for ellipses and hyperbolas.

• Exponential Functions

  Developing the equation for an exponential function.

• Exponents and Radicals

  Square roots; properties and equations of rational numbers.

• Factoring Polynomials

  Factoring polynomials; regrouping terms.

• Functions

  Functions; developing an equation; domain and range.

• Geometric Sequences and Series

  Determining the sum of geometric sequences and series.

• Inequalities

  Properties of inequalities; solving inequalities.

• Introductory Program

  Mathematical themes; algebra's importance.

• The Language of Algebra

  The language of algebra: real numbers, axioms, theorems.

• Linear Equations

  Functions of linear equations.

• Linear Equations

  Solving and checking linear equations with one unknown.

• Logarithmic Functions

  Logarithmic properties and functions; scientific calculator.

• Mathematical Induction

  Mathematical induction; numerical patterns.

• Permutations and Combinations

  Counting permutations and combinations.

• Polynomial Functions

  Determining intercepts of a polynomial function.

• Probability

  Probability is used in genetics, medicine, social science.

• Quadratic Equations

  The quadratic formula and quadratic equations.

• Rational Functions

  Rational functions: intercepts, symmetry, asymptotes.

• Systems and Equations

  Solving problem systems of linear and non-linear equations.

• Systems of Linear Inequalities

  Developing and graphing linear inequalities.

• Variation

  Variation in previously discussed applications.