
Dalhousie University
Mathematics and Statistics

 Basic Information:
 Instructor: Karl Dilcher
(dilcher@mathstat.dal.ca)
 Office: Chase Building Room 325
 ph.: 9024943784
 Office hours: Mon., Wed. 2:303:30 pm, Fri. 2:003:00 pm, or by appointment
 Class time: MWF, 9:30  10:30
 First class: Wednesday, Sept. 5, 2018
 Place: Chase Building, Seminar Room (Room 227)
 Textbook:
Algebraic Number Theory and Fermat's Last Theorem, 3rd Ed. (Not required)
by Ian Stewart and David Tall
A copy of this book will be on reserve in the Killan Library
A set of course notes will also be made available in class (required).
 Prerequisites:
MATH 3070.03, or instructor's permission
 Course content
The purpose of the course is to give an introduction to some advanced topics
of number theory, especially algebraic number theory, guided by "Fermat's
Last Theorem", one of the most famous (no longer unsolved) problems in
mathematics.
4. Quadratic and Cyclotomic Fields
5. Factorization into Irreducibles
7. Class Groups and Class Numbers
 Evaluation:
 Weekly assignments: 30%
 Takehome midterm: 30%
 Final exam: 40%
 Difference between MATH 4070 and MATH 5070:
The course content will be the same for both undergraduate and graduate
students. However, half of the questions on the takehome and a quarter of
the questions of the final exam will be different, and more challenging, for
students registered in MATH 5070.
 Conversion to letter grades (Dalhousie common grade scale):
90100  A+  
7779  B+  
6569  C+  
5054  D 
8589  A  
7376  B  
6064  C  
049  F 
8084  A  
7072  B  
5559  C 
Last update: September 18, 2018
Created and maintained by Karl Dilcher
