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