# Teaching

## Current courses

This year I am teaching perhaps for the last time the Part IB Linear Algebra Course. As ever I make some small changes to old examples sheets some at least in response to criticism from previous students. Here again is a preliminary example sheet by way of orientation.
Linear Algebra Preliminary Sheet
It is intended to be done the first weekend of term.
There was also a Recapitulation Page giving material from IA.

I shall place the official sheets here as soon as they are ready.

Linear Algebra Example Sheet 1

Linear Algebra Example Sheet 2

Linear Algebra Example Sheet 3

Linear Algebra Example Sheet 4

## Last year's course

In 2012-13 I taught the Part II Number Theory Course. It was a new challenge, but I made only minor changes to the old examples sheets.

Here are the official sheets.

Number Theory Example Sheet 1

Number Theory Example Sheet 2

Number Theory Example Sheet 3

Number Theory Example Sheet 4

## Old courses

In 2011-12 I taught the IB Course Linear Algebra. There were modest changes from previous years.
I provided a preliminary example sheet by way of orientation

Linear Algebra Preliminary Sheet

intended to be done the first weekend of term.
There was also a Recapitulation Page giving material from IA.

Here are the official examples sheets.

Linear Algebra Example Sheet 1

Linear Algebra Example Sheet 2

Linear Algebra Example Sheet 3

Linear Algebra Example Sheet 4

During 2009-11 I taught the IB Course Complex Analysis. Here are the sheets for Lent 2011.

Complex Analysis Example Sheet 1

Complex Analysis Example Sheet 2

Complex Analysis Example Sheet 3

And here are the sheets for Lent 2010.

Complex Analysis Example Sheet 1

Complex Analysis Example Sheet 2

Complex Analysis Example Sheet 3

Before that I taught the Part II course Set Theory and Logic. The treatments in the two years were rather different and for the record I give the two sets of examples sheets.

Set Theory and Logic 2008-09 Example Sheet 1

Set Theory and Logic 2008-09 Example Sheet 2

Set Theory and Logic 2008-09 Example Sheet 3

Set Theory and Logic 2008-09 Example Sheet 4

Set Theory and Logic 2007-08 Example Sheet 1

Set Theory and Logic 2007-08 Example Sheet 2

Set Theory and Logic 2007-08 Example Sheet 3

Set Theory and Logic 2007-08 Example Sheet 4

In the academic years 2004-05 and 2005-06 I taught the IB course Analysis II.
Here are the final versions of the Examples sheets.

Analysis II Example Sheet 1

Analysis II Example Sheet 2

Analysis II Example Sheet 3

Analysis II Example Sheet 4

In the academic years 2002-03 and 2003-04 I taught the IB course Linear Algebra. Here are the final versions of the official Examples sheets.

Linear Algebra Example Sheet 1

Linear Algebra Example Sheet 2

Linear Algebra Example Sheet 3

Linear Algebra Example Sheet 4

Finally I provided a crude hands-on treatment of reduction to Jordan Normal Form.

Linear Algebra Jordan Normal Form