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| Preface | |
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| Logic | |
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| Deductive Logic versus Inductive Logic | |
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| Symbolic Logic | |
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| Truth Tables | |
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| More on Conditionals | |
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| Analyzing Arguments | |
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| Review | |
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| Sets And Counting | |
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| Sets and Set Operations | |
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| Applications of Venn Diagrams | |
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| Introduction to Combinatorics | |
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| Permutations and Combinations | |
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| Infinite Sets | |
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| Review | |
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| Probability | |
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| History of Probability | |
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| Basic Terms of Probability | |
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| Basic Rules of Probability | |
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| Combinatorics and Probability | |
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| Expected Value | |
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| Conditional Probability | |
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| Independence | |
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| Trees in Genetics | |
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| Review | |
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| Statistics | |
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| Population, Sample, and Data | |
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| Measures of Central Tendency | |
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| Measures of Dispersion | |
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| The Normal Distribution | |
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| Polls and Margin of Error | |
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| Linear Regression | |
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| Review | |
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| Finance | |
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| Simple IntereSt. Compound IntereSt. Annuities | |
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| Amortized Loans | |
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| Annual Percentage Rate with a TI's TVM Application | |
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| Payout Annuities | |
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| Review | |
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| Voting And Apportionment | |
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| Voting Systems | |
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| Methods of Apportionment | |
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| Flaws of Apportionment | |
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| Review | |
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| Number Systems And Number Theory | |
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| Place Systems | |
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| Addition and Subtraction in Different Bases | |
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| Multiplication and Division in Different Bases | |
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| Prime Numbers and Perfect Numbers | |
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| Fibonacci Numbers and the Golden Ratio | |
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| Review | |
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| Geometry Perimeter and Area | |
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| Volume and Surface Area | |
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| Egyptian Geometry | |
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| The Greeks | |
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| Right Triangle Trigonometry | |
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| Linear Perspective | |
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| Conic Sections and Analytic Geometry | |
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| Non-Euclidean Geometry | |
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| Fractal Geometry | |
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| The Perimeter and Area of a Fractal | |
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| Review | |
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| Graph Theory | |
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| A Walk through K?nigsberg | |
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| Graphs and Euler Trails | |
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| Hamilton Circuits | |
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| Networks | |
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| Scheduling | |
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| Review | |
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| Exponential And Logarithmic Functions | |
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| Review of Exponentials and Logarithms | |
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| Review of Properties of Logarithms | |
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| Exponential Growth | |
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| Exponential Decay | |
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| Logarithmic Scales | |
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| Review | |
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| Matrices And Markov Chains | |
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| Review of Matrices | |
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| Introduction to Markov Chains | |
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| Systems of Linear Equations | |
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| Long-Range Predictions with Markov Chains | |
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| Solving Larger Systems of Equations | |
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| More on Markov Chains | |
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| Review | |
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| Linear Programming | |
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| Review of Linear Inequalities | |
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| The Geometry of Linear Programming | |
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| Review | |
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| Linear Programming (Online) | |
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| Introduction to the Simplex Method | |
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| The Simplex Method: Complete Problems | |
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| Review | |
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| The Concepts And History Of Calculus (Online) | |
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| Review of Rations, Parabolas, and Functions | |
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| The Antecedents of Calculus | |
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| Four Problems | |
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| Newton and Tangent Lines | |
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| Newton on Falling Objects and the Derivative | |
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| The Trajectory of a Cannonball | |
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| Newton and Areas | |
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| Conclusion | |
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| Review | |
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| Appendixes | |
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| Appendix B Using a Graphing Calculator | |
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| Graphing with a Graphing Calculator | |
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| Finding Points of Intersection with a Graphing Calculator | |
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| Dimensional Analysis | |
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| Body Table for the Standard Normal Distribution | |
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| Index | |