MATH 340: Algebra II: Rings and Fields Fall 2010. Michael Monagan Lectures: MWF 11:30am-12:20pm in WMC 2202 Tutorials: Tuesdays at 12:30pm and 1:30pm in AQ 5020. However, on some Tuesdays I will give a Maple tutorial instead, namely on September 21, October 19, November 9 and November 30 in MCF PC Lab 1 in AQ 3148.1. Software: Maple will be used for some calculations on assignments. I will give one 1 hour introductory tutorial on Maple on Thursday September 9th at 10:30am and at 11:30am in MCF PC Lab 1 in AQ 3148.1 If you took MACM 202 using Maple, you do not need to come. Maple notes showing for this course are available on the course website. Note Maple (version 14) is being installed on the PCs and MACs in the open labs, assignment labs, and in the library. Any recent version of Maple e.g. Maple 10, 11, 12 or 13, will be fine for this course. Instructor: Michael Monagan : mmonagan@cecm.sfu.ca Office: TLX 10501, Phone (778) 782-4279 My home page: http://www.cecm.sfu.ca/~mmonagan Course web page: http://www.cecm.sfu.ca/~mmonagan/teaching/MATH340Fall10 Office hours: Tuesdays 3-4pm, Wednesdays 2-3pm, and Fridays 2-3pm. Teaching Assistant: Stephen Kieffer : skieffer@cecm.sfu.ca Office: P 4495 (the CECM lab) Grading: 8 Assignments 25% 1 Midterm 20% Wednesday October 27th in class. 1 Final Exam 55% Thursday December 9th, 12:00-15:00, Room TBA Textbook: Introduction to Applied Algebraic Systems. Normal R. Reilly ISBN 978-0-19-536787-4 Content: Chapter 1: Modular Arithmetic (approx 11 lectures) Chapter 2: Rings and Fields (approx 11 lectures) Chapter 2: Finite Fields (approx 11 lectures) Chapter 3: Groups (approx 2 lectures) The focus of the first part of the course is on learning to prove theorems about integers, equivalence relations and modular arithmetic. The focus of the second part of the course is on rings and fields, in particular polynomial rings and the field of complex numbers. The focus of the third part of the course is on the construction of finite fields and their application to error correcting codes. Lastly an introduction to groups which is the subject of the next algebra course MATH 341 Algebra III Groups given next semester. As well as "covering the material", my goal is to teach you how to read and write proofs and how to use Maple for algebraic computations. Cheating Policy: All instances of cheating will be reported. o If you are caught copying another students assignment work you will get zero for that assignment and all previous assignments. o If you lend your assignment to a student who copies any part of your assignment, you too will get zero for that assignment. o I will determine whether you have cheated by asking you to explain what you wrote. o If you are caught cheating on the midterm or final, you will get zero for that exam.