Christopher J. Sangwin


On 1st October 2013 I moved to take up a post at Loughborough University.

*Software Projects

STACK
STACK provides a question type for the Moodle quiz which is specifically designed to enable sophisticated computer-aided assessment in Mathematics and related disciplines, with emphasis on formative assessment.
      DragMath
DragMath is a free "drag and drop" equation editor, written in Java. The editor lets users build up mathematical expressions in a traditional two dimensional way, and then output the results in a correctly formed syntax.

* Publications

[The cover: Computer Aided Assessment of Mathematics] Computer Aided Assessment of Mathematics
Chris Sangwin © Oxford University Press, 2013.
      [The cover: IB HL Option: Calculus] Mathematics for the International Student (IB Diploma):
IB HL Option: Calculus

Catherine Quinn, et. al.
© Haese Mathematics, 2013.
[The cover: Teaching Problem-solving in Undergraduate Mathematics] Teaching Problem-solving in Undergraduate Mathematics
Christopher Sangwin, Matthew Badger, Trevor Hawkes
© National HE STEM Programme, University of Birmingham, 2012.
      [The cover: A Guide to Puzzle-Based Learning in Stem Subjects
] A Guide to Puzzle-Based Learning in Stem Subjects
Matthew Badger, Christopher Sangwin, Esther Ventura-Medina and Colin Thomas
© University of Birmingham, 2012.
[The cover: How Round is Your Circle?] How Round is Your Circle?
John Bryant and Chris Sangwin
© Princeton University Press, 2008.
      [The cover: MYP5] Mathematics for the International Student:
Pre-Diploma SL and HL (MYP 5 Plus)

Pamela Vollmar, et. al.
© Haese and Harris Publications, 2008.
[The cover: Mathematics Galore!] Mathematics Galore!
Chris Budd and Chris Sangwin
© Oxford University Press, 3 May, 2001.
      [The cover: Elements of Algebra] Elements of Algebra
© Tarquin Publications, 2007

* Some mathematical highlights

Euler's sum

One of my favourite results in mathematics is the following: \[ 1 + \frac{1}{4} + \frac{1}{9} + \cdots = \frac{\pi^2}{6}. \] Leonard Euler's wild and brave explanation is given here.
The game of Hex

Hex is a connection strategy game for two players. It is simple to learn, great fun to play and has some deep mathematics behind it.

Some hex resources.
Stacking up dominoes

Apparently you can stack up dominoes in balance in the following way
A balancing stack - click here for a `visual proof'!
To see how click here (PDF).
Roller which are not round!

Look at the picture below. It shows two `rollers' in the shape of a 50p with a book on top. What will happen to the vertical distance between the book and the table as you roll the book along?
A click here for an .avi movie (5Mb)
Normal vibration modes of a circular membrane

Imagine an elastic circular membrane fixed along its circular boundary but otherwise free to vibrate. There are a number of different normal vibration modes which are possible.
A vibration mode of a circular membrane
Click here for more details.
The double pendulum

A double pendulum consists of two rigid arms that are joined by a low friction bearing.
A double pendulum
Details are here.

Chris Sangwin's GeoGebra page with some geometry I find interesting.

* Other fun things!

Have you seen