Introduction to Abstract Algebra
You can find the syllabus here.
Midterms: October 5 and November 14. (In class)
Final Exam: December 10 (Monday) 11:50am to 1:50pm.
Homeworks and Weekly Schedule:
---Week 1: August 22: Division Algorithm, Greatest Common Divisor, Euclid's Lemma.
August 24: Equivalence Relations,
--- August 27: Problem Session, August 29: Mathematical Induction, Functions.
September 1: Modular Arithmetic
--- Groups, Permutation Groups
-- Order, Subgroups, Dihedral Group
-- Cyclic Groups, Alternating Group
-- Cosets, Langrange's theorem
-- Normal Subgroups, Midterm
--Homomorphisms
- Isomorphisms, Quotient Group, First Isomorphism Theorem
- Homework 7 (due November 2)
Ring-Subring-Field
- Homework 8 (due November 9)
- Homework 9
Past Midterm2: Spring2018, Fall 2017 , (Review from last year),
-Homework 10 (longer than usual)