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Logic | |
Deductive vs. Inductive Reasoning | |
Symbolic Logic | |
Truth Tables | |
More on Conditionals | |
Analyzing Arguments | |
Sets and Counting | |
Sets and Set Operations | |
Applications of Venn Diagrams | |
Introduction to Combinatorics | |
Permutations and Combinations | |
Infinite Sets | |
Probability | |
History of Probability | |
Basic Terms of Probability | |
Basic Rules of Probability | |
Combinatorics and Probability | |
Expected Value | |
Conditional Probability | |
Independence | |
Trees in Genetics | |
Statistics | |
Population, Sample, and Data | |
Measures of Central Tendency | |
Measures of Dispersion | |
The Normal Distribution | |
Polls and Margin of Error | |
Linear Regression | |
Finance | |
Simple Interest | |
Compound Interest | |
Annuities | |
Amortized Loans | |
Annual Percentage Rate on a Graphing Calculator | |
Payout Annuities | |
Voting and Apportionment | |
Voting Systems | |
Methods of Apportionment | |
Flaws of Apportionment | |
Number Systems and Number Theory | |
Place Systems | |
Arithmetic in Different Bases | |
Primes and Perfect Numbers | |
The Fibonacci Sequence and the Golden Ratio | |
Geometry | |
Perimeter and Area | |
Volume and Surface Area | |
Egyptian Geometry | |
The Greeks | |
Right Triangle Trigonometry | |
Conic Sections and Analytic Geometry | |
Non-Euclidean Geometry | |
Fractal Geometry | |
The Perimeter and Area of a Fractal | |
Graph Theory | |
A Walk Through Konigsberg | |
Graphs and Euler Paths | |
Hamilton Circuits | |
Networks | |
Scheduling | |
Exponential and Logarithmic Functions | |
Review of Exponentials and Logarithms | |
Review of Properties of Logarithms | |
Exponential Growth | |
Exponential Decay | |
Logarithmic Scales | |
Matrices and Markov Chains | |
Review of Matrices | |
Introduction to Markov Chains | |
Systems of Linear Equations | |
Long-Range Predictions | |
Solving Larger Systems of Equations | |
More on Markov Chains | |
Linear Programming | |
Review of Linear Inequalities | |
The Geometry of Linear Programming | |
Appendices: Using a Scientific Calculator | |
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 | |
Answers to Selected Exercises | |
Available On The Web: Linear Programming | |
Introduction to the Simplex Method | |
The Simplex Method: Complete Problems | |
The Concepts And History Of Calculus | |
The Review of Ratios, 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 | |
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