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): Adrian Nelson.

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.

View the Unit Information Sheet given out in lectures in the first week.

Examinations.

The 2009 exam Information Sheet.

Previous MATH3962 Examination papers 2008 and 2007.

You will also find further questions for practice by looking at past Algebra I examinations, in the algebra component of MATH3062 exams and in MATH3002 Rings and Fields exams available at Fisher Library.

Consultations .

I will be generally available for stu-vac and pre-exam consultations from Thursday 11th June,

email: A.Nelson@maths.usyd.edu.au to arrange a time.

Last Pre-Exam Consultations: Wednesday 24th June 10:00-1:00 and 2:00-5:00.

Assignment

There will be one assignment worth 15% set for collection in the second half of the semester.

The MATH3962 Assignment has been marked and returned in tutorials. For the time being I am keeping uncollected assignments in my office.

Homework

There will be 5 homework tasks. Each successfully completed homework task will count 2%. The mark for a task will not necessarily be determined by your first attempt. The aim is to give you feed back on your attempt so that you improve and resubmit if necessary until the task successfully completed. Task will be marked out of 5. If you are awarded less than 5, then you can rework and resubmit to improve your mark.

Homework 1 and some hints.

Homework 2, c.f. Homework 4.

Homework 3. Finding a counter-example for 2(ii) was not easy.

Homework 4, c.f. Homework 2.

Homework 5, due Monday 1st June.

Tutorials

Tutorials start in Week 2.

Down load the weeks tutorial sheet and bring a copy to your tutorial.

Week 2: Tutorial 1 and Solutions.

Week 3: Tutorial 2 and Solutions. Some comments on Tutorial 2's exercises and solutions.

Week 4: Tutorial 3 and Solutions. Some comments on Tutorial 3's exercises and solutions.

Week 5: Tutorial 4 and Solutions.

Week 6: Tutorial 5 and Solutions.

Week 7: Tutorial 6 and Solutions.

Week 8: Tutorial 7 and Solutions.

Week 9: Tutorial 8 and Solutions. Some comments on Tutorial 8's exercises and solutions.

Week 10: Tutorial 9 and Solutions. Some comments on Tutorial 9's exercises and solutions.

Week 11: Tutorial 10 and Solutions.

Week 12: Tutorial 11 and Solutions.

Week 13: Tutorial 12 and Solutions.

Lectures

Week 1: Lecture 1, Lecture 2, Lecture 3.

Week 2: Lecture 4, Lecture 5, Lecture 6.

Week 3: Lecture 7, Lecture 8, Lecture 9.

Week 4: Lecture 10, Lecture 11, Lecture 12.

Week 5: Lecture 13, Lecture 14, Lecture 15.

Week 6: Lecture 16, Lecture 17, Lecture 18.

Week 7: Lecture 19, Lecture 20, Lecture 21.

Week 8: Lecture 22, Lecture 23, Lecture 24.

Week 9: Lecture 25, Lecture 26, Lecture 27.

Week 10: Lecture 28, Lecture 29, Lecture 30.

Week 11: Lecture 31, Lecture 32, Lecture 33.

Week 12: Lecture 34, Lecture 35, Lecture 36.

Week 13: Lecture 37, Lecture 38, Lecture 39.

Timetable