Monday
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Wednesday
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Friday
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| Jan 27 Proving properties
of
groups |
Notes
on the dihedral group and homework due Monday Feb 10 |
Function composition is
associative |
Feb 3 First Page of definitions and theorems notes
Video to help you start
proving theorems 2 and 3: uniqueness
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Notes
for today Feb 5 with homework due Monday 2/17 -> should be
Monday 2/10
Solving equations strategy, and proof of
theorem 5. (video) |
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Feb 10 Notes from class
New and improved
definitions and theorems notes.
Before Wednesday: try to prove theorems 10 and 11.
On Wednesday: bring questions about the proofs of theorems 3, 4, 10 and
11. |
Notes
from class
Next Monday due:
Proofs of theorems 1-5 and 9-11
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Notes from class
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Feb 17
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Test 1 Practice List and Friday Homework
Recap of Feb 14-19 content
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Feb 24
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Test 1
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Notes and assignment (sec 7.4 problems 1a, 1b, 4, 8 are due next Wednesday March 4)
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Mar 2
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Notes for how to finish today's problems
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Notes and homework due next Wednesday (March 11)
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Mar 9 Notes from today (with homework assignment due Friday)
New and improved definitions and theorems
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Notes from today's class
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Notes from today's class
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Mar 16 Stay home
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Test 2
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Mar
23
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Spring
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Break
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Mar 30 Rings and subrings
Changes to syllabus and how to turn in assignments
Video Lectures: Intro to rings
Subrings of matrices part 1; part 2 (with identity)
Subrings and multiples
Assignment:3.1 # 1, 5b, c, f, 6a,b
Challenge probs: 3.1 # 15, 32 (optional)
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Ring Property proofs
Video Lectures: Uniqueness of identity proofs
More about uniqueness of multiplicative identities
Hints for for the assignment
Assignment (link)
Challenge problems 3.2 # 10, 13 (optional)
Join Zoom Meeting
https://zoom.us/j/433370877
Meeting ID: 433 370 877
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Quiz on subrings and Ring properties
The quiz has 5 problems:
one like 3.1 #5, one like 3.1 #6, one like 3.1 #1, and two proofs
(chosen from those in the second assignment, but with only short hints,
no fill-in-the-blank structure).
How to take the quiz: document explanation, or video demo
Please see the Canvas module "Zoom Meetings" for links to the Zoom meeting (so I can password Protect meetings)
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April 6
Video solutions to 7.4 and Theorem proofs 19-35
Units, Zero Divisors and Homomorphisms
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Units, Zero Divisors and Homomorphisms
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Units, Zero Divisors and Homomorphisms
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April 13 Polynomials
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Polynomials
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Polynomials
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April 20
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Ideals and Congruence
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Ideals and Congruence
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| April 27 Ideals and Congruence
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Quotient rings, homomorphsims and extension fields (A brief glimpse into Galois theory)
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Quotient rings, homomorphsims and extension fields (A brief glimpse into Galois theory)
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| May 4 Quotient rings, homomorphsims and extension fields (A brief glimpse into Galois theory)
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Quotient rings, homomorphsims and extension fields (A brief glimpse into Galois theory) |
Quotient rings, homomorphsims and extension fields (A brief glimpse into Galois theory)
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End of Semester Announcements
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