Grad Algebra I
Textbook: None. All lecture notes will be posted right here.  
Item  Date  Information 

Homework 1 Solutions 
Tues Sept 15 
Course Notes Fundamental Theorem of Galois Theory Abstract Galois Connections Posets, Lattices 
Homework 2 Solutions 
Thurs Oct 1 
Course Notes Lattices of Subgroups Categories, Quotients, Products First Isomorphism Theorem SemiDirect Products 
Homework 3 Solutions 
Tues Oct 27 
Course Notes 2nd, 3rd Isomorphism Theorems Simple, Solvable Groups JordanHölder Theorem Short Exact Sequences Unsolvability of S_n 
Midterm Exam
Review Notes Solutions 
Thurs Oct 29 
Total = 30 Average = 22.9 Median = 22.0 St Dev = 4.2 
Homework 4 Solutions 
Thurs Dec 3 
Course Notes Functors, Natural Transformations Why Representation Theory? Fundamental Theorem of GSets Double Cosets, Bruhat Decomposition The Class Equation Sylow's Theorem, Kolchin's Theorem 
Epilogue 
Course Notes Finite Simple Groups Finite Abelian Groups Primitive Root Theorem 

Final Exam
Review Notes Solutions 
Thurs Dec 10  2:004:30pm 