MATH 3030 - 2012-2013

Abstract Algebra

This is the page where I post material related to the the winter term of the MATH 3030 course I am teaching in 2012-13.

 

  • Office hours: Tuesday 13:30-14:30, Wednesday 13:30-14:30, Thursday 14:30-15:30
  • Office: 251 Chase building (on the 2.5th floor - you need to take the stairs at the South end of the building.)
  • If you want to come to my office at a different time please email me:tkenney@mathstat.dal.ca
  • The website for the first term of the course is www.mathstat.dal.ca/~tkenney/3030/2011/index.html.
  • Midterm Exam: Monday 18th February, in class.
  • Here are some practice questions for the midterm examination. Here are the solutions.
  • Here is the midterm examination. Here are the solutions.
  • Here are some practice questions for the final examination. Here are the solutions.
  • Textbook: Abstract Algebra (Seventh Edition) by John B. Fraleigh, published by Addison Wesley, 2003
  • Final Exam: TBA.

    • Handouts

    Course Handout

    Planned material

    Lecture time is limited, so I plan to use it explaining concepts and giving examples, rather than reading the textbook. Therefore, to get the most out of each lecture, you should read the relevant material before the lecture. Here is the list of what I expect to cover in each lecture. This is subject to change - make sure to check regularly for changes.

    Week beginning Monday Wednesday Friday
    7th January
  • Revision
    •
  • 26. Homomorphisms and Factor Rings
    •
  • 26. Homomorphisms and Factor Rings (cont.)
    •
    14th January
  • 27. Prime and Maximal Ideals
    •
  • 27. Prime and Maximal Ideals (cont.)
    •
  • 27. Prime and Maximal Ideals (cont.)
  • 29. Introduction to Extension Fields
    •
    21st January
  • 29. Introduction to Extension Fields (cont.)
    •
  • 29. Introduction to Extension Fields (cont.)
  • 30. Vector Spaces
    •
  • 30. Vector Spaces (cont.)
  • 31. Algebraic Extensions
    •
    28th January
  • 31. Algebraic Extensions (cont.)
    •
  • 31. Algebraic Extensions (cont.)
    •      		Munro Day
    4th February
  • 31. Algebraic Extensions (cont.)
  • 32. Geometric Constructions
  • 33. Finite Fields
  • 34. Isomorphism Theorems
  • 35. Series of Groups (Except proof of Schreier Theorem)
    •
    11th February
  • 35. Series of Groups (cont.)
  • Revision
    		•  Revision Revision
    18th February

    MIDTERM

    EXAMINATION
  • 48. Automorphisms of Fields
    •
  • 48. Automorphisms of Fields (cont.)
    •
    25nd February Study Week
    4th March
  • 49. Isomorphism Extension Theorem
    •
  • 49. Isomorphism Extension Theorem (cont)
    •
  • 50. Splitting Fields
    •
    11th March
  • 51. Separable Extensions
    •
  • 51. Separable Extensions (cont.)
    •
  • 53. Galois Theory
    •
    18th March
  • 53. Galois Theory (cont.)
    		•
  • 53. Galois Theory (cont.)
    •
  • 54. Illustrations of Galois Theory
    •
    25th March
  • 54. Illustrations of Galois Theory (cont.)
  • 55. Cyclotomic Extensions
    •
  • 55. Cyclotomic Extensions (cont.)
    •      		Good Friday
    1st April
  • 56. Insolvability of the Quintic
    •      		Revision Revision
    8th April Revision END OF LECTURES

    Homework

    Assignment 10 Due Friday 25th January. Model Solutions
    Assignment 11 Due Monday 4th February. Model Solutions
    Assignment 12 Due Monday 11th February. Model Solutions
    Assignment 13 Due Friday 15th February. Model Solutions
    Assignment 14 Due Friday 15th March. Model Solutions
    Assignment 15 Due Friday 22nd March. Model Solutions
    Assignment 16 Due Wednesday 27th March. Model Solutions
    Assignment 17 Due Friday 5th April . Model Solutions