Basic Algebra

Selected Lecture Notes and Other Reading

• Some handy notes on SETS, COMPLEX NUMBERS, SEQUENCES AND SERIES, and DIFFERENCE EQUATIONS (provisional version) (NB, Matrices are not included).
• Some handy notes on RELATIONS (provisional version)
• Some notes for more advanced students wishing to make Algebra THE NEXT STEP (provisional version) . These notes have been used in the past to help students prepare for Part 2 Linear Algebra courses. They are not currently being used for this purpose, and the `Treasure hunt' refered to in the notes is not happening this year. However, you may find some of these notes useful as collateral/support material for Part 1 Algebra!
• Some more useful links and references on naive set theory, relations and so on, are here.

Exercises

• Jan 2005: Here are a first set of exercises.
• Feb 2005: Here are a second set of exercises.
• Many Exercise sheets in a single pdf file (provisional version) Print off as much as you like! Sets of sheets for individual topics are below.
• Exercises on Matrices
• Exercises on Complex Numbers
• Exercises on Series
• Exercises on Sets and Relations

Some useful textbooks

• (Beginning) Finite Mathematics (Schaum Outline Series), Seymour Lipschutz.
  (Sadly the old version of this book is out of print, and the new version is not due to be ready until April 2004! In the mean time we will have to go back to recommending two (fortunately both very inexpensive) books - see below.)
• Discrete Mathematics (Schaum Outline Series), Seymour Lipschutz.
  (Covers Set Theory, Matrices, Recurrence Relations)
• Mathematical Methods for Science Students (Longman), G Stephenson.
  (Covers Complex Numbers, Matrices, Series, Difference Equations)

Random links to some past examination papers

• Algebra 03 Exam paper, and Model solutions .
• Algebra 03 RESIT Exam paper, and Model solutions .