Math 103A - Modern Algebra I (4 units), Winter 2019

Homework and Tentative Schedule

Jan 7Section 0 - Sets and Relations
Jan 9Section 1 - Introduction and Examples
Jan 11Section 2 - Binary Operations
 
Jan 14Section 3 - Isomorphic Binary Structures
Jan 16Section 4 - Groups, HW 1 due, Solutions
Jan 18Section 5 - Subgroups
 
Jan 21No class
Jan 23Section 6 - Cyclic Groups, HW 2 due, Solutions
Jan 25Section 6 - Cyclic Groups
 
Jan 28Section 8 - Groups of Permutations
Jan 30Review, HW 3 due, Solutions
Feb 1Midterm 1 (in class), Extra Problems 1, Solutions, Linear Algebra
 
Feb 4Section 8 - Groups of Permutations
Feb 6Section 9 - Orbits, Cycles, and the Alternating Groups, HW 4 due, Solutions
Feb 8Section 9 - Orbits, Cycles, and the Alternating Groups
 
Feb 11Section 10 - Cosets and the Theorem of Lagrange
Feb 13Section 10 - Cosets and the Theorem of Lagrange, HW 5 due, Solutions
Feb 15Section 11 - Direct Products and Finitely Generated Abelian Groups
 
Feb 18No class
Feb 20Review, HW 6 due, Solutions
Feb 22Midterm 2 (in class), Extra Problems 2, Solutions
 
Feb 25Section 11 - Direct Products and Finitely Generated Abelian Groups
Feb 27Section 13 - Homomorphisms
Mar 1Section 14 - Factor Groups
 
Mar 4Section 14 - Factor Groups
Mar 6Section 15 - Factor Group Computations and Simple Groups, HW 7 due, Solutions
Mar 8Section 16 - Group Action on a Set
 
Mar 11Section 16 - Group Action on a Set
Mar 13Section 17 - Applications of G-Sets to Counting, HW 8 due, Solutions
Mar 15Review
 
Mar 22Final exam: 11:30am-2:29pm, location TBD, Extra Problems 3, Solutions