Geometry and linear algebra M1GLA

Recommended textbooks (not essential):

Linear algebra, by J. Fraleigh and R. Beauregard (Addison-Wesley)

Linear algebra, by S. Lipschutz and M. Lipson (Mc Graw Hill)

Exercise sheets:

sheet 1 sheet 2 sheet 3 sheet 4 sheet 5 sheet 6 sheet 7 sheet 8 sheet 9 sheet 10

solutions 1 solutions 2 solutions 3 solutions 4 solutions 5 solutions 6 solutions 7 solutions 8 solutions 9 solutions 10

Test questions and solutions:

test 1 solutions for test 1

test 2 solutions for test 2

January test paper and solutions:

paper solutions Note: unless otherwise stated any correct proof or solution is fine. It does not have to be the same as my model proof.

Rings and fields M2P4

LECTURE NOTES kindly provided by Anton Stefanek.

Recommended textbook: Allenby. Rings, fields and groups.

PDF files:

sheet 1 answers 1

sheet 2 answers 2

sheet 3 answers 3

sheet 4 answers 4

sheet 5 answers 5

sheet 6 answers 6

sheet 7 answers 7

sheet 8 answers 8

Tests from the 2007 course:

test 1 solutions to test 1

test 2 solutions to test 2

test 3 solutions to test 3

Tests from the 2008 course:

test 1 solutions to test 1

test 2 solutions to test 2

test 3 solutions to test 3

Lie algebras M4P46/MSP66

LECTURE NOTES I recommend this pdf file of the notes of my 2007 course.

Problem sheets: sheet 1 sheet 2 sheet 3

Elementary number theory M3P14/M4P14 (dvi files)

sheet 1 solutions 1
sheet 2 solutions 2
sheet 3 solutions 3

enhanced option for the 4th year

algebra handout is a rather informal chat on groups and rings to help
those who have not been to M2P2 and M2P4

Algebraic geometry M4P33

LECTURE NOTES (pdf file)

dvi files:
exercise sheet 1
exercise sheet 2
exercise sheet 3

Linear algebra and matrices M3P9/M4P9

LECTURE NOTES (pdf file)

dvi files:
sheet 1 answers 1
sheet 2 answers 2
sheet 3 answers 3
sheet 4 answers 4
sheet 5 answers 5
sheet 6 answers 6
sheet 7 answers 7

Algebraic number theory M3P15/M4P15 (dvi files)

sheet 1 answers 1
sheet 2 answers 2
sheet 3 answers 3
sheet 4 answers 4