- Basic Information:
- Instructor: Karl Dilcher (dilcher@mathstat.dal.ca)
- Office: Chase Building Room 325; ph.: 902-494-3784
- Office hours: TBA, or by appointment.
- Class time: Tues. & Thurs. 1:05 - 2:25 pm
- First class: Tuesday, September 3, 2019
- Classroom: LSC-208
- Textbook:
- Required:
- Course Notes (available only after classes start)
- Recommended:
- Elementary Number Theory, 2nd Edition
- by Underwood Dudley
- Dover Publications, 2008, Paperback
- Both will be available in the Dalhousie Bookstore
- Prerequisites:
- MATH 2040 or MATH 2135
- Calendar Entry:
The following topics are discussed:congruences and residues; elementary properties of congruences; linear congruences; theorems of Fermat, Euler and Wilson; Chinese remainder theorem; quadratic residues; law of quadratic reciprocity; Legendre, Jacobi and Kronecker symbols, arithmetic functions; algebraic fields; algebraic numbers and integers; uniqueness of factorization, definition and elementary properties of ideals; ideal classes and class number. (Note: The material starting with "properties of ideals" will not be covered). - Course content
- 1. Introduction
- 2. The Factorization of Integers
- 3. Congruences
- 4. Quadratic Residues
- 5. Sums of Squares
- 6. Continued Fractions
- 7. Number Theoretic Function
- 8. Algebraic and Transcendental Numbers
- 9. Applications of Number Theory (if time allows)
- Evaluation (subject to change until after classes have started):
- Weekly assignments: 30%
- Midterm test: 30%
- Final exam: 40%
Conversion to letter grades (Dalhousie common grade scale): 90-100 A+ 77-79 B+ 65-69 C+ 50-54 D 85-89 A 73-76 B 60-64 C 0-49 F 80-84 A- 70-72 B- 55-59 C-
Last update: August 16, 2019 Created and maintained by Karl Dilcher |