Math 412 - Introduction to Modern Algebra
Winter 2017
Lecture Meeting times: 10:00-11:00 MWF, East Hall 4088
Instructor: Eleonore Faber
Office: EH 1855
Office hours: Monday 11am--1pm, Wednesday 12--1pm
Textbook: Abstract Algebra: an introduction by Thomas W. Hungerford
The syllabus for the course can be found HERE.
The Final exam will be April 25, 1:30-3:30pm in EH4088.
Review session: April 22 at 5pm in EH3088.
Homework Problem sets will be posted below:
Homework 1 (due January 13)
Homework 2 (due January 20)
Homework 3 (due January 27)
Homework 4 (due February 3)
Homework 5 (due February 10)
Homework 6 (due February 17)
Homework 7 (due March 10)
Homework 8 (due March 17)
Homework 9 (due March 24)
Homework 10 (due March 31)
Homework 11 (due April 7)
Homework 12 (due April 14)
Quizzes will be posted below:
Quiz 1 on Relations and Induction (Appendix C and D) on January 11.
Quiz 2 on Arithmetic in $\mathbb{Z}$ (Chapter 1) on January 18.
Quiz 3 on Congruences in $\mathbb{Z}$ and Chinese Remainder Theorem (2.1 and 14.1) on January 25.
Quiz 4 on Arithmetic in $\mathbb{Z}_n$ and Rings (2.2, 2.3, and 3.1) on February 1.
Quiz 5 on Rings and homomorphisms (3.2, 3.3) on February 8.
Quiz 6 on Polynomial rings (4.1, 4.2, and beginning of 4.3) on February 15.
Quiz 7 on Irreducibility in $\mathbb{R}$ and $\mathbb{C}$, quotients of polynomial rings (4.6, 5.1 and 5.2) on March 8.
Quiz 8 on ideals in rings (6.1) on March 15.
Quiz 9 on ideals and homomorphisms (6.2 and 6.3) on March 22.
Quiz 10 on groups and subgroups (7.1, 7.2, and beginning of 7.3) on March 29.
Quiz 11 on group homomorphisms and permutations (7.3, 7.4, and 7.5) on April 5.
Quiz 12 on normal subgroups and quotient groups (8.1, 8.2, 8.3) on April 12.