2H LINEAR ALGEBRA

In this module, we study linear spaces and linear maps, i.e. mathematical structures that have many applications. The main topics we shall cover are:

• Vector Spaces
• Linear Maps
• Matrices
• Determinants
• Spaces of Linear Maps
• Eigenvalues and Applications

Lecturer in 1st Term: Wojtek Zakrzewski. Office CM204 (through the Maths office), phone 43112.
Email: W.J.Zakrzewski at durham.ac.uk

Lectures: Mondays at 4.15pm and Wednesdays at 10.00 in D110.

Books: There are many books on linear algebra. A good book is S. Lipschutz, M. Lipson, Linear algebra, 3rd edition, Schaum's Oulines, Mc. Graw Hill, ISBN 0071362002 which would be useful also for the second term Any standard American college text (ie any large book with "Linear Algebra" in the title) will also contain most of what we do.

Tutorials & weekly assignments: --Tutorials take place in weeks 2, 4, 6, 8 & 10 (from 15th October onwards), according to the timetable.

Problem Sheet:

• Problems in postscript or pdf.
• Solutions to some of the problems can be found here postscript or pdf are here.

Lecture notes.

• lecture notes are here in pdf or postscript

Assignments:

Assignments are set in the Wednesday lecture. They are handed in to me the following Wednesday and returned by me the following Monday.

On 14 Oct problems 1.1 and 1.15 were set to be handed in on 21th October, problems 1.2, 1.6 and 1.9 for tutorials.

On 21 Oct I set 1.22 and 1.28 to be handed in on 28th October.

On 28 Oct I set 2.6 and 2.28 to be handed in on 4th November; problems 2.2, 2.14, 2.15, 2.16 2.18 and 2.19 for tutorials.

On 4 Nov I set 3.12 and 3.20 to be handed in on 11th November.

On 11 Nov problems 3.18 and 3.26 will be set to be handed in on 18th November; problems 3.10, 3.15, 3.21 and 3.30 are for tutorials.

On 18 Nov I set 4.6 and 4.17 to be handed in on 25th November.

On 25 Nov I set 4.19 and 5.10 to be handed in on 2nd December; problems 4.1, 4.2, 4.8, 4.11, 5.8 and 5.9 are for tutorials.

On 2nd December I set 6.4 and 6.10 to be handed in on 9th December.

On 9th December I set problems 6.2, 6.8, 6.14, 6.16 and 6.33 for tutorials.

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