Catalog Description: GENERAL VIEW OF MATHEMATICS (3) Discussions revealing past and recent mathematical innovations as extensions of creative thinking within the human endeavor. For the nonmathematically inclined.

Text: Mathematics A Human Endeavor, H. R. Jacobs Third Edition, W. H. Freeman and Company

CHAPTER 1    MATHEMATICAL WAYS OF THINKING
   1.1  The Path of a Billiard Ball
   1.2  More Billiard Ball-Mathematics
   1.3  Inductive reasoning: Finding and Extending Patterns
   1.4  The Limitations of Inductive Reasoning
   1.5  Deductive Reasoning: Mathematical Proof
   1.6  Number Trics and Deductive Reasoning

CHAPTER 2    NUMBER SEQUENCES
   2.1  Arithmetic sequences: Growth at a Constant Rate
   2.2  Geometric Sequences: Growth at an Increasing Rate
   2.3  The Binary Sequence
   2.4  The Sequence of Squares
   2.5  The Sequence of Cubes
   2.6  The Fibonacci Sequence

CHAPTER 7    METHODS OF COUNTING
   7.1  The Fundamental Counting Principle
   7.2  Permutations
   7.3  More on Permutations
   7.4  Combinations

CHAPTER 8    THE MATHEMATICS OF CHANCE
   8.1  Probability: The Measure of Chance
   8.2  Binomial Probability
   8.3  Pascal's Triangle
   8.4  Dice Games and Probability
   8.5  Independent and Dependent Events
   8.6  The Birthday Problem: Complementary Events

CHAPTER 9    AN INTRODUCTION TO STATISTICS
   9.1  Organizing Data: Frequency Distributions
   9.3  Measures of Location
   9.4  Measures of Variability
   9.5  Displaying Data: Statistical graphs
   9.6  Collecting Data: Sampling

CHAPTER 10  TOPICS IN TOPOLOGY
   10.1  The Mathematics of Distortion
   10.2  The Seven Bridges of Konigsberg: An Introduction to Networks
   10.3  Euler Paths
   10.4  Trees
   10.5  The Moebius Strip and Other Surfaces