Note: Different sections of Math 15 may cover different topics selected from the following list, and not necessarily in the order given. Choose your topic and then select the resources you want.

Topic 1: Introduction to Logic Statements and Logical Operators, Logical Equivalence, Tautologies and Contradictions, The Conditional and the Biconditional, Tautological Implications and Tautological Equivalences, Rules of Inference, Arguments and Proofs

Complete Text is On-Line! Click Here

Topic 2: Sets and Counting Sets, The Number of Elements in a Set, The Multiplication Principle, The Addition Principle, Permutations, Combinations

Topic Summary: Click Here True-False Quiz: Click Here Topic Review Exercises: Click Here

Topic 3: Probability Sample Spaces and Events, Introduction to Probability, Principles of Probability, Counting Techniques and Probability, Conditional Probability and Independence, Bayes' Theorem and Applications, Bernoulli Trials

Topic Summary: Click Here On-Line Tutorials: Sample Spaces & Events Introduction to Probability Principles of Probability Conditional Probability and Independence Bayes' Theorem and Applications True-False Quiz: Click Here On-Line Tools: Java Monty Hall Simulation (This simulation of the game show is based on the principles of conditional probability.) The Topic Summary (has several Java simulations of fair and weighted dice)

Topic 4: Statistics Random Variables and Distributions, Mean, Median, and Mode, Variance and Standard Deviation, Normal Distributions

Topic Summary: Click Here True-False Quiz: Click Here On-Line Tools: The Topic Summary (has several Javascript simulations of coin tosses)

Topic 5: Calculus Applied to Probability (For students with a calculus background) Continuous Random Variables and Histograms, Probability Density Functions: Uniform, Exponential, Normal, and Beta, Mean, Median, Variance and Standard Deviation, Creating a Family Trust

Complete Text is On-Line! Click Here

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