Math 113  Abstract Algebra  Summer 2018
LEC: MTWTh 4:00PM6:00PM  289 Cory Hall
Office: 1062 Evans Hall
Office Hours (Last week): MTWTh 10:00AM  11:00 AM, MTW 2:30PM  4:00PM
Email: ritvik [at] berkeley [dot] edu
Schedule
 Monday  Tuesday  Wednesday  Thursday 
Week 1  Introduction  Sets & Functions (0)  Groups (4)  Subgroups (5) 
Week 2  Cosets & Z/mZ (6,10)  Lagrange & Cyclic Groups (6, 10)  Direct Products (11)  Finitely Generated Groups (7, 11) 
Week 3  Group Actions (8, 16)  OrbitStabiliser Theorem (16)  No Class  Permutation Groups I (9) 
Week 4  Permutation Groups II (9, 12)  Normality, Isomorphism Theorems (14,15)  Selected applications (34, 37)  Series of Groups (35) 
Week 5  Review (very rough)  Introduction to Rings (18, 19)  Isomorphism Theorems and Unit groups (18, 26)  Midterm (in class) 
Week 6  Polynomial Rings I (22)  Polynomial Rings II (22 ,23)  Factorization in Polynomial Rings (23)  Irreducibility, PIDs (45) 
Week 7  More on PIDs and UFD (45)  Prime/Maximal Ideals (27)  Field Extensions (29, 30?)  Algebraic Extensions (31) 
Week 8  Field Automorphisms (48)  Main Theorem of Galois Theory (53, 54)  Insolvability of a general quintic (55, 56)  Final (in class)

Course Material
Outline & Resources
Exams
Homeworks
