Here are the course outlines.
You can print off the lecture notes here: Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Lecture 13 Lecture 14 Lecture 15 Lecture 16 Lecture 17 Lecture 18 Graphs 1 Graphs 2 Graphs 3 Infinite 1 Infinite 2 Infinite 3 Galois Cohomology 1 Galois Cohomology 2 Galois Cohomology 3 Galois Cohomology 4 Ramification 1 Ramification 2
Problem Set 1 Problem Set 2 Problem Set 3 Problem Set 4 Problem Set 5 Problem Set Cohomology Problem Set Graphs Problem Set Infinite
Here's the
course handout
Some extra lecture notes regarding the Lefschetz fixed point formula and Weil conjectures.
Here's Problem Set 1 Problem Set 2 Problem Set 3 Problem Set 4 Problem Set 5 Problem Set 6
Some housekeeping for lecture 1.
You can print off the lecture notes here: Chapter 6 Chapter 7 Chapter 8 Chapter 9
I will use Chapter 6 Chapter 7 Chapter 8 Chapter 9 We will also need the standard normal table.
Last year's exam.
Here are some versions of test 1.
Test 1 solutions can be found here version 1,2 version 5,6 version 11,12
Here are some versions of test 2. Rough solutions can be found here.
Here's the
course handout. The syllabus has not been
finalised.
Problem Set 1.
Problem Set 2.
Problem Set 3.
Problem Set 4.
Problem Set 5.
Problem Set 6.
Here is assignment 1 which is due during the thursday lecture of week 5. Here is assignment 2 which is due during the tuesday lecture of week 12.
Boris Lerner has typed up
lecture notes
for the 2007 Galois theory course I taught. The 2011 version will be
somewhat different, going at a much more leisurely pace. Please e-mail typos
to Boris at
boris "at" unsw "dot" edu "dot" au.
I will hand out the following course information in the first lecture.
Course Outline.
Assignments and Mathematical Writing.
Studying for this course.
There is also a tentative syllabus which is not to be trusted but gives you a guide if you are wondering what would be appropriate texts to supplement your studies with.
Problem sheets and assignment information will be posted here in future. If you get sent back to the School of Maths homepage, that probably means that I haven't updated that problem set from last year.
Problem set 0. Problem set 1. Problem set 2. Problem set 3. Problem set 4. Problem set 5. Problem set 6. Problem set 7.
The first assignment is due wednesday week 5. It consists of problem sheet 1 Q7,14(harder),23, problem sheet 2 Q6 and 13 and problem sheet 3 Q2.
Here's last year's
test.
The second assignment is due monday of week 13. It consists of Problem Sheet 5 Q5,6,18ii),20 and Problem Sheet 6 Q5.
Here's the
2006 exam
2007 exam
2008 exam
2009 exam
Also some
group theory revision.
Charles Qin has been kind enough to type up the
lecture notes.
I haven't checked through them, but Charles was an excellent student
who I'm sure would have removed far more errors than he would have
inserted. The material will not change much from last year. You may wish to
bring these notes to class with you.
Problem Set 1. Problem set 2. Problem set 3. Problem set 4. Problem set 5. Problem set 6.
2003 final exam.
2004 final exam.
Lecture Notes were typed up by Kenneth Chan during my 2003 class. I have not checked through them but Kenneth did do very well in the course if that's any indication of their accuracy. The lectures should not differ much from the version above.
Lectures 1, 2 by Antony Orton.
Lecture 3 by Michael Leeming.
Lecture 4 by Ross Edwards.
Lecture 5 by Perry ?.
Lecture 6 by Kevin Sun.
Lectures 7,8 by AO.
Lecture 9 by RE.
Lecture 10 by ML.
Lecture 11 by AO.
Lecture 12 by KS.
Lecture 13 by RE.
Lecture 14 by ML.
Lecture 15 by AO.
Lecture 16 by RE.
Lecture 17 by ML.
Lecture 18 by KS.
Lecture 19 by AO.
Lecture 20 by RE.
Lecture 21 by ML.
Lecture 22 by KS.
Lecture 23 by AO.
Lecture 24 by RE.
Lecture 25 by ML.
Lecture 26 by AO.
Lecture 27 by ML.
The last couple of lectures will be
revision.
MATLAB file geom2.m for use in
lecture 4.
MATLAB file lexl.m
MATLAB file for lecture 22.
Here's the
course handout
Here's the
course outlines
Lecture 0
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14
Lecture 15
Lecture 16
Lecture 17
Lecture 18
Lecture 19
Lecture 20
Lecture 21
Lecture 22
Lecture 23
Lecture 24
Lecture 25
Lecture 26
Lecture 27
Lecture 28
Lecture 29
Lecture 30
Lecture 31
Lecture 32
Lecture 33
Lecture 34
Lecture 35
Lecture 36
Lecture 37
Lecture 38
Lecture 39
Lecture 40
Lecture 41
Lecture 42
Lecture 43
Lecture 44
Here are the problem sets.
Problem Set 1
Problem Set 2
Problem Set 3
Problem Set 4
Problem Set 5
Problem Set 6
Problem Set 7
Problem Set 8
Problem Set 9
Problem Set 10
You will find the class tests will cover fairly standard material and is very similar to the problem sets. Here are last year's test 1 and test 2
Here is this year's test 1 and solutions.
Here is the 2012 exam and an exam check list.