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 |
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