|
Math 113 - Abstract Algebra - Summer 2018
LEC: MTWTh 4:00PM-6:00PM | 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) | Orbit-Stabiliser 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
|