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Fundamentals of Algebra

The following tapes correspond to the text Introductory & Intermediate Algebra: A Combined
Approach, by Bittinger and Beecher (Addison-Wesley Publ., 1999).

Tape # Section Time Title
Chapter 1 Introduction to Real Numbers and Algebraic Expressions
V100D.01 1.1 7:08 Introduction to Algebra
  1.2 20:37 The Real Numbers
  1.3 14:58 Addition of Real Numbers
  1.4 7:52 Subtraction of Real Numbers
V100D.02 1.5 13:52 Multiplication of Real Numbers
  1.6 18:34 Division of Real Numbers
  1.7 22:12 Properties of Real Numbers
  1.8 15:35 Simplifying Expressions; Order of Operations
Chapter 2 Solving Equations and Inequalities
V100D.03 2.1 13:27 Solving Equations: The Addition Principle
  2.2 9:36 Solving Equations: The Multiplication Principle
  2.3 16:50 Using the Principles Together
  2.4 16:08 Applications and Problem Solving
V100D.04 2.5 17:13 Applications with Percents
  2.6 6:00 Formula
  2.7 14:01 Solving Inequalities
  2.8 13:30 Applications and Problem Solving with Inequalities
Chapter 3 Graphs of Equations; Data Analysis
V100D.05 3.1 17:53 Graphs and Applications
  3.2 22:02 Graphing Linear Equations
  3.3 7:38 More with Graphing and Intercepts
  3.4 15:28 Applications and Data Analysis with Graphs
Chapter 4 Polynomials: Operations
V100D.06 4.1 16:44 Integers as Exponents
  4.2 16:57 Exponents and Scientific Notation
  4.3 16:55 Introduction to Polynomials
  4.4 13:35 Addition and Subtraction of Polynomials
V100D.07 4.5 14:45 Multiplication of Polynomials
  4.6 18:14 Special Products
  4.7 16:46 Operations with Polynomials in Several Variables
  4.8 18:58 Division of Polynomials
Chapter 5 Polynomials: Factoring
V100D.08 5.1 13:40 Introduction to Factoring
  5.2 17:34 Factoring Trinomials of the Type x2 + bx + c
  5.3 18:48 Factoring ax2 + bx + c, a ≠ 1 Using FOIL
  5.4 10:21 Factoring ax2 + bx + c, a ≠ 1Using Grouping
V100D.09 5.5 15:50 Factoring Trinomial Squares and Differences of Squares
  5.6 15:45 Factoring Sums and Differences of Cubes
  5.7 13:28 Factoring: A General Strategy
  5.8 16:36 Solving Quadratic Equations by Factoring
  5.9 15:57 Applications and Problem Solving
Chapter 6 Rational Expressions and Equations
V100D.10 6.1A 15:33 Rational Expressions: Multiplying, Dividing and
Simplifying
  6.1B 8:08 Rational Expressions: Multiplying, Dividing and
Simplifying
  6.2 10:38 Least Common Multiples and Denominators
  6.3 14:13 Adding Rational Expressions
  6.4 19:18 Subtracting Rational Expressions
  6.5 13:57 Solving Rational Expressions
V100D.11 6.6 15:38 Applications, Proportions and Problem Solving
  6.7 10:58 Formulas and Applications
  6.8 15:00 Complex Rational Expressions
  6.9 17:41 Variation and Applications
Chapter 7 Graphs, Functions and Applications
V100D.12 7.1 14:28 Functions and Graphs
  7.2 10:29 Linear Functions: Graphs and Applications
  7.3 11:36 Another Look at Linear Functions
  7.4 18:54 Other Equations of Lines
  7.5 13:39 Applications of Linear Functions
  7.6 7:08 Graphing Linear Inequalities in Two Variables
Chapter 8 Systems of Equations
V100D.13 8.1 18:30 Systems of Equations in Two Variables
  8.2 18:24 Solving by Substitution and Elimination
  8.3 18:14 Systems Applied Problems : Systems of Two Equations
V100D.14 8.4 14:22 Systems of Equations in Three Variables
  8.5 16:09 Solving Applied Problems: Systems of Three Equations
  8.6 6:17 Business and Economic Applications
Chapter 9 More on Inequalities
V100D.15 9.1 23:49 Sets, Interval Notation, and Inequalities
  9.2 19:41 Intersections, Unions, and Compound Inequalities
  9.3 20:45 Absolute-Value Equations and Inequalities
  9.4 11:04 Systems of Linear Inequalities in Two Variables
Chapter 10 Radical Expressions, Equations and Functions
V100D.16 10.1 12:00 Radical Expressions and Functions
V100D.17 10.2 15:14 Rational Numbers as Exponents
  10.3 16:02 Simplifying Radical Expressions
  10.4 11:02 Addition, Subtraction, and More Multiplication
  10.5 13:18 More on Division of Radical Expressions
  10.6 23:30 Solving Radical Equations
  10.7 13:40 Applications Involving Powers and Roots
  10.8 20:23 The Complex Numbers
Chapter 11 Quadratic Equations and Functions
V100D.18 11.1 19:29 The Basics of Solving Quadratic Equations
  11.2 16:50 The Quadratic Formula
  11.3 22:05 Applications Involving Quadratic Equations
  11.4 22:05 More on Quadratic Equations
V100D.19 11.5 20:40 Graphs of Quadratic Functions of the type
f(x)=a(x-h)2+k
  11.6 14:55 Graphs of Quadratic Functions of the type
f(x)=ax2 + bx +c
  11.7 14:23 Mathematical Modeling with Quadratic Functions
  11.8 20:54 Polynomial and Rational Inequalities
Chapter 12 Exponential and Logarithmic Functions
V100D.20 12.1 13:32 Exponential Functions
  12.2 21:39 Inverse and Composite Functions
  12.3 11:02 Logarithmic Functions
V100D.21 12.4 14:07 Properties of Logarithmic Functions
  12.5 7:09 Natural Logarithmic Functions
  12.6 24:48 Solving Exponential and Logarithmic Equations
  12.7 11:54 Mathematical Modeling with Exponential and
Logarithmic Functions