### Algebra 1: Techniques and Applications

**Autumn term teaching 2014/15:(this term is not relevant for Maths for Statistics students)**

Sets: Powerpoint

Sets week 2 Powerpoint

Mappings: Powerpoint

Permutations:

Cryptosystems:

Assignment 1: due: 25/11/14 Solution:

Assignment 2: due: 20/01/15

**Spring Term teaching 2015:**

(material relevant for Maths for Statistics students)

Problem Set 1 solution

(material relevant for Maths for Statistics students)

Matrices:

Systems of Linear Equations:

Determinants:

Real Vectors:

Eigenvalues and Eigenvectors:

Markov Chains:

Linear Programming:

Exercise 1:

**Exam Papers**

2005 Exam Paper:

2006 Exam Paper:

2007 Exam Paper:

2009 Exam Paper & Solution:

2010 Exam Paper and Solution

2011 Exam Paper Solution (specific questions):

**Recommended books:**

Carol Whitehead, Guide² Abstract Algebra : this contains a good introduction to sets and some other topics covered in the first term.

H. Anton, & C. Rorres,

*Elementary linear algebra with applications*, Wiley B. Kolman,

*Introductory Linear algebra with Applications (6th edition),*Prentice Hall

C. Whitehead.

*Guide to Abstract Algebra (Macmillan Mathematical Guides),*Macmillan