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MTH4104 - Introduction to Algebra - 2021/22
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MTH4104 - Introduction to Algebra - 2021/22
Week 11
A permutation on 52 elements of order 8: demonstration
A permutation on 52 elements of order 8: demonstration
Click
https://www.youtube.com/watch?v=7lNk7bfkFq8
link to open resource.
◄ "Quiz": permutation computations
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Lecture notes
Slides shown in lecture
Extra questions for chapter 1
Extra questions for chapter 1, solutions
Extra questions for chapter 2
Extra questions for chapter 2, solutions
Extra questions for chapter 3
Extra questions for chapter 3, solutions
Extra questions for chapter 4
Extra questions for chapter 4, solutions
Extra questions for chapter 5
Extra questions for chapter 5, solutions
Extra questions for chapter 6
Extra questions for chapter 6, solutions
Extra questions for chapter 7
Extra questions for chapter 7, solutions
Antonino's recordings
Ali's bonus exercises
Past exam papers
Scans from lecture, 24 Jan
Scans from lecture, 25 Jan
Quiz: relations
Advice on how to study for this module
On the meaning of "natural numbers"
Functions as relations
Scans from lecture, 31 Jan
Scans from lecture, 1 Feb
Quiz: partitions
Week 2 tutorial questions
Week 2 tutorial solutions
Scans from lecture, 7 Feb
Scans from lecture, 8 Feb
Quiz: modular arithmetic
Greatest common divisors by prime factorisation
Week 3 tutorial questions
Week 3 tutorial solutions
"How to write proofs" by Eugenia Cheng
Week 3 coursework
Submit your week 3 coursework
Solutions to week 3 coursework
Early feedback form
Scans from lecture, 14 Feb
Scans from lecture, 15 Feb
Quiz: modular inverses
"Quiz": Extended Euclidean algorithm
Week 4 tutorial questions
Week 4 tutorial solutions
Scans from lecture, 21 Feb
Scans from lecture, 22 Feb
Quiz: rings and fields
The quaternions
Week 5 tutorial questions
Week 5 tutorial solutions
Week 5 coursework
Submit your week 5 coursework
Solutions to week 5 coursework
Scans from lecture, 28 Feb
Scans from lecture, 1 Mar
Quiz: properties of rings
Week 6 tutorial questions
Week 6 tutorial solutions
Scans from lecture, 14 Mar
Scans from lecture, 15 Mar
Quiz: polynomials
Week 8 tutorial questions
Week 8 tutorial solutions
Week 8 coursework
Submit your week 8 coursework
Solutions to week 8 coursework
Quiz: polynomial division and roots
Solving polynomial equations
A web-toy for exploring complex polynomials and their roots
Week 9 tutorial questions
Week 9 tutorial solutions
Scans from lecture, 28 Mar
Scans from lecture, 29 Mar
Quiz: matrices
Week 10 tutorial questions
Week 10 tutorial solutions
Week 10 coursework
Submit your week 10 coursework
Solutions to week 10 coursework
Scans from lecture, 4 Apr
Scans from lecture, 5 Apr
Quiz: permutations
"Quiz": permutation computations
Week 11 tutorial questions
Week 11 tutorial solutions
Scans from lecture, 11 Apr
Scans from lecture, 12 Apr
Quiz: groups
Cosets and Lagrange's theorem
Odd and even permutations and the alternating group
Week 12 coursework
Submit your week 12 coursework
Solutions to week 12 coursework
How to input things on the exam
Semester B final assessment
Interactive mock exam
Week 11 tutorial questions ►
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