MAT107 Ideas in Mathematics

Erich Prisner, Franklin College, Spring 2008

Syllabus
Schedule
Homework 1, Homework 2, Homework 3, Homework 4, Homework 5, Homework 6
Warm-Up 1, Warm-Up 2, Warm-Up 3, Warm-Up 4, Warm-Up 5, Warm-Up 6, Warm-Up 7, Warm-Up 8, Warm-Up 9, Warm-Up 10, Warm-Up 11, Warm-Up 12, Warm-Up 13
Footnotes on 2.1, Footnotes on 2.3, Footnotes on 3.2 Footnotes on 4.3, Footnotes on the "Graphs" chapter, Footnotes on 2.4
Midterm

Additional Material

Numbers Natural Numbers Prime Numbers Fibonacci Numbers and the Golden Ratio Irrational Numbers
Graphs Graphs Eulerian Graphs Minimum Spanning Trees Planar Graphs and Euler's Formula ..
Polyhedra Introduction Planar Graphs and Euler's Polyhedra Formula Surfaces ... ..
Probability Introduction Expected Value Multistep experiments Example: Pascal and Fermat Decision Theory
Voting Voting Arrow's Theorem      
Geometry Art Gallery Theorem
Examples		  Voronoi diagrams and the Voronoi Game    
Topology Knots and Links Braids Weaving Webs Hex and the Plane
Infinity Cantor's Theorems ... .. ...