## Group Theory and Linear Algebra 2016 Semester 2

Statement regarding assessment adjustment for MAST20022 exam

Welcome!

#### Lectures

Tue 11am-12pm in Physics South Laby Theatre

Wed 10am-11am in Baldwin Spencer Theatre

Fri 10am-11am in Baldwin Spencer Theatre

#### Assessment

- 20% assignments (3 of them, due at regular intervals)
- 80% exam (3 hours, during the final exam period)

#### Assignments

Assignment 1 due Wednesday 24 August at 1pm Solutions for assignment 1

Assignment 2 due Wednesday 21 September at 1pm Solutions for assignment 2

Clarification for problem 1 on assignment 2

Assignment 3 due Friday 21 October at 1pm Solutions for assignment 3

#### List of assignment boxes by tutorial session

(Note that this information is also posted on the walls above the assignment boxes.)

#### Practice class questions

Questions: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Solutions: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

#### Exam preparation

Some information about the exam.

Here is the 2015 exam and solutions.

Here is the 2014 exam and solutions.

#### References

- J. Groves, C. Hodgson, Notes from previous years

##### Introductory algebra texts

- M. Artin, Algebra
- T. Hungerford, Abstract algebra (an introduction)
- J. Gallian, Contemporary abstract algebra
- T. Judson, Abstract algebra: theory and applications

##### Proof writing texts

- Chartrand, Polimeni and Zhang, Mathematical proofs: a transition to advanced mathematics
- Day, An introduction to proofs and the mathematical vernacular
- Devlin, Introduction to mathematical thinking

##### Linear algebra texts

- S. Axler, Linear algebra done right
- Lankham, Nachtergaele and Schilling, Linear algebra as an introduction to abstract mathematics

##### Algebra reference texts

- D. S. Dummit, R. M. Foote, Abstract algebra
- S. Lang, Algebra

##### Other

- J. Matousek, Thirty-three miniatures: mathematical and algorithmic applications of linear algebra
- B. Fine, G. Rosenberg, The fundamental theorem of algebra
- Einstein’s 1905 paper on special relativity in the German original and English translation
- N. Bailey, The elements of stochastic processes
- L. Gilbert, A. Johnson, An application of the Jordan canonical form to the epidemic problem
- N. Smart, Cryptography: An introduction
- K. Ireland, M. Rosen, A classical introduction to modern number theory
- Arun Ram’s notes

From the internets:

- Proof by induction: dominoes (the interesting part is 0:25 to 2:09)
- Euclidean algorithm and music
- The Game of Euclid
- Group theory in the bedroom