MTH 1301 - Ideas in Mathematics Text: Excursions in Modern Mathematics, 2nd Custom edition for Baylor University – Pearson, 2014 - by Peter Tannenbaum Tentative Course Outline SOCIAL CHOICE The Mathematics of Elections: The Paradoxes of Democracy The Basic Elements of an Election The Plurality Method The Borda Count Method The Plurality-with-Elimination Method The Method of Pairwise Comparisons Fairness Criteria and Arrow's Impossibility Theorem The Mathematics of Power: Weighted Voting An Introduction to Weighted Voting Banzhaf Power Shapley-Shubik Power Subsets and Permutations The Mathematics of Sharing: Fair-Division Games Fair-Division Games The Divider-Chooser Method The Lone-Divider Method The Lone-Chooser Method The Method of Sealed Bids The Method of Markers The Mathematics of Apportionment: Making the Rounds Apportionment Problems and Apportionment Methods Hamilton's Method Jefferson's Method Adams's and Webster's Methods The Huntington-Hill Method The Quota Rule and Apportionment Paradoxes MANAGEMENT SCIENCE The Mathematics of Scheduling: Chasing the Critical Path An Introduction to Scheduling Directed Graphs Priority-List Scheduling The Decreasing-Time Algorithm Critical Paths and the Critical-Path Algorithm GROWTH Population Growth Models: There Is Strength in Numbers Sequences and Population Sequences The Linear Growth Model The Exponential Growth Model The Logistic Growth Model Financial Mathematics: Money Matters Percentages Simple Interest Compound Interest Consumer Debt SHAPE AND FORM Fibonacci Numbers and the Golden Ratio: Tales of Rabbits and Gnomons Fibonacci Numbers The Golden Ratio Gnomons Spiral Growth in Nature STATISTICS Censuses, Surveys, Polls, and Studies: The Joys of Collecting Data Enumeration Measurement Cause and Effect Graphs, Charts, and Numbers: The Data Show and Tell Graphs and Charts Means, Medians, and Percentiles Ranges and Standard Deviations Probabilities, Odds, and Expectations: Measuring Uncertainty and Risk Sample Spaces and Events The Multiplication Rule, Permutations, and Combinations Probabilities and Odds Expectations Measuring Risk The Mathematics of Normality: The Call of the Bell Approximately Normal Data Sets Normal Curves and Normal Distributions Modeling Approximately Normal Distributions Normality in Random Events Undergraduate Program EXPLORE MATHEMATICS Copyright © Baylor® University. All rights reserved. Legal Disclosures. Baylor University  Waco, Texas 76798  1-800-229-5678