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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