Winter 2016
MATH 470 (MAST 692) ABSTRACT ALGEBRA 2: RING THEORY
SCHEDULE: Wednesday-Friday 10h15-11h30, Room MB S1.105.
OFFICE HOURS: Tuesday and Wednesday 14h00-15h00, Room LB-927.9
TOPICS: Introduction to the theory of rings and modules: rings, ideals, quotients, ring of fractions,
euclidean domains, principal ideals domain, unique factorisation domains, polynomial rings; modules and vector spaces.
TEXTBOOK: Abstract Algebra by David S. Dummit and Richard M. Foote.
EVALUATION: Assignements 20%, Midterm 30% and Final 50%.
DATE OF MIDTERM: Friday March 4, 10h15-11h30.
A sheet of notes is allowed (8.5 X 11, one-sided).
Solutions to Midterm
Final Exam: A sheet of notes is allowed. 8 1/2 by 11, double-sided. No calculators.
Office Hours for Final Exam: Tuesday April 19, 14h00-1600. Thursday April 21, 14h00-16h00.
Review Exercises
Solutions to Review Exercises
Assignement 1 Due Friday January 22.
Solutions to Assignement 1.
Assignement 2 Due Friday February 5.
Solutions to Assignement 2.
Assignement 3 Due Friday February 19.
Solutions to Assignement 3.
Assignement 4 Due Friday March 18.
Solutions to Assignement 4.
Assignement 5 Due Friday April 8.
Solutions to Assignement 5.
Winter 2016
MATH 364 REAL ANALYSIS 1
SCHEDULE: Wednesday 18h00-20h05, Room MB S1.115.
OFFICE HOURS: Tuesday and Wednesday 14h00-15h00, Room LB-927.9
TEXTBOOK: Notes on Real Analysis by L. Larson.
REAL ANALYSIS
EVALUATION: Assignements 10%, Midterm 30% and Final 60%, or 100% Final Exam.
DATE OF MIDTERM: Wednesday March 2, 18h00-16h30.
A sheet of notes is allowed (8.5 X 11, one-sided).
Solutions to Midterm
Final Exam: A sheet of notes is allowed. 8 1/2 by 11, double-sided. No calculators.
Office Hours for Final Exam: Monday April 18, 14h00-1600. Wednesday April 20, 14h00-16h00.
Review Exercises for last 2 weeks
Solutions to Review Exercises
Assignement 1
Due Wednesday January 20.
Solutions to Assignement 1
Assignement 2 Due Wednesday February 3.
Solutions to Assignement 2
Assignement 3 Due Wednesday February 17.
Solutions to Assignement 3
Assignement 4 Due Wednesday March 16.
Solutions to Assignement 4
Assignement 5 Due Wednesday April 6.
Solutions to Assignement 5
Fall 2015
Albegraic Number Theory (MAST 693/MAST 833A)
SCHEDULE: Wednesday-Friday 2h45-16h00, Room MB 5.215.
TOPICS: Number Fields and Ideals. Dedekind domains, unique
factorization of ideals, ideal class groups. Geometry of numbers, finiteness
of the class number and the unit theorem. Special Fields (quadratic, cyclotomic, etc),
applications to Fermat's last theorem. Analytic Methods, Zeta and L-functions,
analytic continuation, density theorems.
TEXTBOOK: Number Fields by Daniel A. Marcus, Universitext, Springer-Verlag.
EVALUATION: Assignements and presentation in class on a chosen topic.
Assignement 1 Due Friday October 2.
Assignement 2 Due Friday October 16.
Assignement 3 Due Friday October 30.
Assignement 4 Due Friday November 13.
PRESENTATIONS:
Tuesday December 1, 13h30 - 15h30, LB 921.04
Wednesday December 2, 14h30 - 16h30, LB 921.04
Thursday December 3, 13h30 - 15h30, LB 921.04
Winter 2015
EMAT233/4 Section S Wednesday-Friday 8h45-10h00 ROOM MB-S2.210
TUTORIAL SA Monday 8h20-10h00 H-619
TUTORIAL SB Wednesday 13h15-14h55 H-621
TUTORIAL SC Monday 8h20-10h00 H-621
EMAT233 Section X Wednesday-Friday 10h15-11h30 ROOM H-1070
TUTORIAL XA Friday 14h15-15h55 MB-2.2857
TUTORIAL XB Friday 14h15-15h55 MB-3.255
TUTORIAL XC Friday 14h15-15h55 H-621
Practice Final Exam
Page 1
Page 2
Solutions
OFFICE HOURS FOR FINAL EXAM:
Thursday April 16 12h00-14h00
Tuesday April 21 12h00-14h00
Friday April 24 12h00-14h00
OFFICE HOURS: Wednesday-Friday 12h00-13h00
LOCATION: LB927.09
EXTRA OFFICE HOURS BEFORE THE MIDTERM:
Monday March 2, 11h00-13h00
Tuesday March 3, *****12h00-14h00***** CHANGE OF TIME
Course Outline
EXTRA CLASS FOR SECTION S TO CATCH UP FOR THE FIRST ONE THAT WAS MISSED DUE TO THE ROOM CHANGE:
Tuesday, Janaury 20, 20h30 - 21h45, ROOM MB-S2.210
Notes for the extra class
MIDTERM: TUESDAY MARCH 3 AT 20h30
MATERIAL COVERED: Everything up to Section 9.8 included
DURATION: The exam is 90 minutes.
FORMULA SHEET: The formula sheet which is on the Moddle Site will be distributed to you at the exam.
ROOMS (the letters indicate the first letter of your last name):
ENGR 233 SECTION S, A-Z: H937
ENGR 233 SECTION X, A-C: H820
ENGR 233 SECTION X, D-N: H920
ENGR 233 SECTION X, O-Z: H1011
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