Program/Course Material
SWIM 2010
Here below you can find additional program/course material.
Course I  An Introduction to Number Theory and Diophantine Equations 
Bibliography  My Numbers, My Friends; Intro to Number Theory; An Intro to the Theory of Numbers; Queen of Mathematics; A Pathway Into Number Theory; Disquisitiones Arithmeticae 
The Definition of Genera  The Definition of Genera 
Lecture Summaries  Lecture 1: Famous Diophantine Equations 
Lecture 2: A First Look at Binary Quadratic Forms 

Lecture 3: Fundamental Questions 

Lecture 4: Importance of Equivalence 

Lecture 5: Reduction of Forms 

Lecture 6: Reduced Forms Are Representatives of Equivalence Classes 

Lecture 7: Genus Theory 
Course II  Introduction to Abstract Algebra with Applications to Social Systems 

Lecture Notes 1 of 7  Course Outline, Introduction, Sociometric Matrices, The Rise of the Medici, Markov Chains, The DeGroot Model, Primitive Societies, Family Tree Diagrams, Primitive Marriage Rules, and Additional Topics  Southern Women, Southern Women Data 
Lecture Notes 2 of 7  Course Reference, Sociometric Matrices, Degree Distributions, Matrix Algebra Review, Communication Networks, and Power 
Lecture Notes 3 of 7  Communication Networks, Power, and Markov Chains 
Lecture Notes 4 of 7  Markov Chains and The DeGroot Model 
Lecture Notes 5 of 7  The DeGroot Model, Symmetries of the Square, Groups, Properties of Groups, Primitive Societies, Primitive Marriage Rules, Family Tree Diagrams 
Lecture Notes 6 of 7  Course Resource, Group, Symmetries of the Square, Properties of Group, Subgroup Tests, Primitive Marriage Rules, Permutation Groups, Functions, Multiple Network Relations, Local Network Structure, Sothern Women Data 
Lecture Notes 7 of 7  Southern Women, Southern Women Data, Graph Partitioning 