School of Mathematics and Statistics
Senior
The University of Sydney
SciFac : Maths & Stats / Teaching program / Senior / MATH3962
The University of Sydney
Usyd
MyUni
MyUni
Library
Sitemap
spcr

MATH3962 Rings, Fields and Galois Theory (Advanced)

 

General Information

 

This page contains information on the Senior advanced Unit of Study MATH3962: Rings, Fields and Galois Theory (Advanced).

  • Taught in Semester 1.
  • Credit point value: 6.
  • Classes per week: Three lectures and one tutorial.
  • Lecturer(s): Andrew Mathas.

Please refer to the Senior Mathematics and Statistics Handbook for all questions relating to Senior Mathematics and Statistics. In particular, see the MATH3962 handbook entry for further information relating to MATH3962.

You may also view the Faculty Handbook entry for MATH3962 from the central units of study database.

Consultation time

Tuesday 12:30-1:30pm in Carslaw 635 (or the AGR), and by appointment. You are very welcome to try knocking on my office door and if I am not busy then I will be happy to speak with you.

Assessment

There will be one assignment worth 15 marks. The remaining 85 marks for the course will come from the exam. Your final mark for the course will be computed using the maximum of your exam mark (scaled to 100), and the sum of your assignment mark (scaled to 15) and your exam mark (scaled to 85).

The Exam

The exam, which is worth 85% of your final assessment (except as noted above), will be held on Thursday June 26, from 9:20am to 11:30am. This gives you 2 hours and 10 minutes reading time for the exam.

The exam consists of 5 questions for which you can score a maximum of 100 marks (the first question is worth 10 marks, the last question 30 marks and the remaining questions are worth 20 marks each). Those who do not want to savour the expense can look at the font page of the exam paper before June 26.

I will say something more about the exam in the lectures on Wednesday June 4. During these lectures I will also go over the solution to the 2007 Math3962 exam, which was set by A/Prof Bob Howlett.

I will be available for consultation in my office for Math3962 from 12-2pm on Tuesday 10, 17 and 24.
I may be available at other times, but I guarantee to be in my office for these times only.

 

Lecture sides

 

Lec 1 Lec 2 Lec 3 Lec 4 Lec 5 Lec 6 Lec 7 Lec 8 Lec 9 Lec 10 Lec 11 Lec 12
-- WB 2 WB 3 WB 4 WB 5 WB 6 WB 7 WB 8 WB 9 WB 10 WB 11 WB 12
 
Lec 13 Lec 14 Lec 15 Lec 16 Lec 17 Lec 18 Lec 19 Lec 20 Lec 21 Lec 22 Lec 23 Lec 24
WB 13 WB 14 WB 15 WB 16 -- -- WB 19 WB 20 WB 21 WB 22 WB 23 WB 24
 
Lec 25 Lec 26 Lec 27 Lec 28 Lec 29 Lec 30 Lec 31 Lec 32 Lec 33 Lec 34 Lec 35 Lec 36
WB 25 WB 26 WB 27 WB 28 WB 29 WB 30 WB 31 WB 32 WB 33 WB 34 WB 35 WB 36
 
Lec 37 Lec 38 Lec 38
WB 37 WB 38 WB 39

Please email me to let me know of any existing mistakes on the slides from the lectures.
Here is a list of all of the corrections and updates made to the slides from lectures since March 28.
You can submit comments, questions and feedback on any aspect of the course from the comments page.

 

Tutorial questions and solutions

 

Tutorials started in week 2 (Thursday March 13, 2008).
The assignment was due 2pm, Monday May 5, 2008 and it was marked and handed back 2pm, Wednesday May 21, 2008.

Tut 2 Tut 3 Tut 4 Tut 5 Tut 6 Tut 7 Tut 8 Ass 1 Tut 9 Tut 10 Tut 11 Tut 12 Tut 13
Sol 2 Sol 3 Sol 4 Sol 5 Sol 6 Sol 7 Sol 8 Sol Sol 9 Sol 10 Sol 11 Sol 12 Sol 13
 

Textbooks and references

 

A/Prof Bob Howlett taught this course the last few years and he has written a very nice set of lecture notes Rings and Fields and an Introduction to Galois Theory for the course. This book will be very useful as the course is heavily based on Howlett's lectures from last year.

Students may find the following reference books useful:
  • Garrett Birkhoff and Saunders Mac Lane, A Survey of Modern Algebra, MacMillan (1953).
  • John R. Durbin, Modern Algebra an Introduction, John Wiley & Sons (1979).
  • John B. Fraleigh, A First Course in Abstract Algebra, Addison-Wesley (1982).
  • I. N. Herstein, Abstract Algebra, MacMillan (1990).
  • Ian Stewart Galois Theory, Chapman and Hall (1989).

Stewart and Fraleigh's books are particularly close to the present unit, both in terms of content and treatment.

Check your marks!

Please check that your mark for Assignment has been recorded correctly by entering your 9 digit SID into the box below and then pressing the "Check marks" button.

SID:              

Please note that any corrections to the assignment marks must be made by Friday, June 6.

 

Timetable

 

© 2002 - 2006 The University of Sydney, NSW 2006 Australia. Phone +61 2 9351 2222.
For questions or comments please contact the Webmaster. Last updated Sunday 15 June 2008.
Disclaimer | Privacy Statement