MATH 103
Mathematical Explorations

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Schedule for Math 103, Spring 2007 (tentative), (in pdf format, ready to print)

Week Day Ch. Topics
1/22-1/26 1 1 Introduction

2 1 Fun and Games

3 1 Fun and Games
1/29 – 2/2 4 2 Number Contemplation, Counting, Numerical Patterns

5 2 Numerical Patterns, Prime cuts

6 2 Prime cuts
2/5 – 2/9 7 2 Crazy Clocks and Checking out bars

8 2 Public Secret Codes

9 2 The Irrational side of numbers
2/12 – 2/16 10 3 Infinity, Beyond Numbers

11 3 Comparing the Infinite

12 3 The Missing Number
2/19 – 2/23 13 3 An Infinite Galaxy of Infinities

14 3 Infinite within geometry

15 4 Geometric Gems, Pythagoras
2/26 – 3/2 16 4 A view of an art gallery

17 4 The sexiest rectangle

18 4 Tiling the plane
3/5 – 3/9 19 4 Platonic solids

20 4 Shape of reality, the fourth dimension

21 5 Contortions of Space, Rubber sheet geometry
3/12 – 3/16 22 5 Mobius band, Klein bottle

23 5 Edges, sides, vertices

24 5 Knots and links
3/19 – 3/23

SPRING BREAK
3/26 – 3/30 25 6 Chaos and Fractals, The dynamics of change

26 6 Fractals

27 6 Imaginary fractals
4/2 – 4/6 28 6 Predetermined chaos

29 6 Between dimensions

30 7 Taming Uncertainty, Chance surprises
4/9 – 4/13 31 7 How to measure uncertainty

32 7 Random thoughts

33 7 Systematic counting
4/16 – 4/20 34 7 Power and pitfalls of statistics

35 7 Describing data

36 7 Making inferences from data
4/23 – 4/27 37 8 Deciding Wisely, Great Expectations

38 8 Risk

39 8 Money Matters
4/30 – 5/4 40 8 Elections

41 8 Slicing up the resources

42
Other topics



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