Material for courses taught in the past



MATH5725 Galois theory (2016)

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



MATH5665 Algebraic Topology(2017)

Here's the course handout

Here's an incomplete version of the lecture notes which will be updated throughout the semester.

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



MATH1231 Mathematics 1B (Algebra) (2017)

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.



MATH2019 Engineering Mathematics (2011)

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.



MATH5725 Galois Theory (2011)

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.

Here is the 2007 exam. Here is the 2009 exam.



MATH3711 Higher Algebra (2007)

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.



MATH3710 Higher Algebra 1: Group Theory (Old Course)
Here is some course info and the syllabus. Also, here are some hints on good mathematical writing style.

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.



MATH5655 Homology and homological algebra(2005)
Course info.
The first part of the course is based on the first two chapters of Munkres' text "Elements of Algebraic Topology". Kenneth Chan has been kind enough to type up some lecture notes.
Problem sheet 1 is now ready for your enjoyment. The pictures are unfortunately missing. The assignment due week 6 is a selection of questions from this problem sheet.
Problem sheet 2 has more action packed questions. The assignment involves 4 questions from it. It is due week 12.
Problem sheet 3 has questions related to the homological algebra part of the course. At least one exam question is on that problem sheet.


MATH1141: Algebra(2004)
Below are the slides used for the lecture.
MATH1241 Algebra(2005)
Here are the slides that will be used for the lectures. They will be a modest improvement on last years.
Algebraic Geometry(2004)
Here are Kenneth Chan's lecture notes for the course. I haven't checked through them. Kenneth informs me there will be a newer flawless version just prior to the exam.


Commutative Algebra(2003) The following students were kind enough to write up lecture notes for the course (2003). Perhaps they felt mildly compelled to do so on account of the fact that it formed 70% of their assessment. A small part of lecture 12 can also be found in the photo 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.



MATH1251: Mathematics for Actuarial Studies (2009,S2)
If you get re-directed to the School of Mathematics homepage, that means the lecture has not been updated from last year yet.

MATLAB file geom2.m for use in lecture 4.
MATLAB file lexl.m
MATLAB file for lecture 22.



MATH5735: Modules and represention theory(2014)

Joel Beeren took the course in 2012 and typed up notes which he has kindly agreed to let me post.


SCIF1121 Professional perspective and practice(2014)

Here's the course handout

Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5


MATH2601 Higher linear algebra (2013)

Here's the course outlines

Here are the lecture slides. If you get an error message, that means the slides have not yet been updated for this year.

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

Honours info meeting

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.


Return to Daniel Chan's Homepage.