MA243
Term 1
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Course Description
Geometry is the attempt to understand and describe the world around us and all
that is in it; it is the central activity in many branches of mathematics and
physics, and offers a whole range of views on the nature and meaning of the
universe.
We will study Euclidean, spherical, and hyperbolic geometry in this course.
The emphasis will be on the properties left invariant under various groups of
transformation, in the spirit of Klein's Erlangen program.
See also the description in the PYDC booklet.
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Lecturer
Name
| Office |
E-mail |
Phone |
Office Hour |
| Diane Maclagan |
B1.35 Zeeman Building |
D.Maclagan at warwick.ac.uk |
(024) 7652 8333 |
TBA |
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Teaching Assistants
Name
| E-mail |
| Sarah Davis |
S.E.Davis at warwick.ac.uk |
| Sara Maloni |
S.Maloni at warwick.ac.uk |
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Course Times and Location
You are expected to attend all lectures, and one of the two example classes.
What
| Where |
When |
Who |
| Example Class |
MA B1.01 |
Tuesday 12:00 |
Davis |
| Lecture |
MS.01 |
Tuesday 16:00 |
Maclagan |
| Lecture |
MS.03 |
Wednesday 9:00 |
Maclagan |
| Example Class |
MA B3.01 |
Wednesday 10:00
NOTE NEW TIME/PLACE |
Maloni |
| Lecture |
L4
NOTE NEWER PLACE |
Friday 10:00 |
Maclagan |
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Text
We will follow the book Geometry and Topology by Miles Reid and Balázs Szendrői closely, and will cover approximately the first six
chapters. Photocopies of these chapters are available from the undergraduate office
for £ 3.50. If you wish to buy a copy of the book, check the bookstore, the
Cambridge link above, or try AbeBooks.co.uk,
which searches many many independent and second-hand book shops.
You may also want to look at Notes on Geometry by Elmer Rees, or
Introduction to Geometry by HSM Coxeter.
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Announcements
A handout on why the hyperbolic distance is well-defined is available
here.
A good survey article on hyperbolic geometry is available here.
You won't be able to read all of it, but look particularly at the
picture on page 70.
You are encouraged to play with the applet on Desargues' thereom available here.
Challenge: Move the points around, and then try to get all the intersection points visible in the window.
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Assessment
There will be homework assignments every week. Homework
assignments and due dates will be posted on the schedule webpage, which will also have the
reading for the following week.
You are encouraged to work on homework together, but you should write
up the solutions yourself. No late homework will be accepted. The lowest
homework score will be dropped, however, when calculating your homework mark.
Homework should be turned into the boxes outside the undergraduate office by
12pm on Thursdays.
Your final mark for this course will depend 15% on your homework, and 85% on
the examination in Term 3.
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