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Mathematics 211 Course Page

Math 211

Algebraic Methods

Fall/Winter 2017/2018

List of Assignments       List of Overheads       List of Handouts       List of MAPLE Solutions       Further Reading       News

Time: Tu 3:30-4:30, Th 2:30-3:30, Fr 4:30-5:30
Place: Room 225, Jeffery Hall


Instructor: Dr. Ernst Kani
Room 211, Jeffery Hall
Telephone: 533-2435
Email: kani@mast.queensu.ca

Office hours:    after each class (see below) or by appointment:
Tu 4:30 - 5:00
Th 3:30 - 4:20
Fr 5:30 - 6:00

Marking scheme: Assignments
October Mid-term test
Christmas exam
February Mid-term test
Final exam
20.0%
  7.5%
30.0%
  7.5%
35.0%
_______
100.0%


Assignments: Due Fridays at 4:30
MAPLE Lab: Fri, 22 September, 2017, 4:30-5:30, Room 155 JEF
Mid-term tests: Thurs, 26 October, 2017, 2:30-3:30 in Rooms 225 and 234 JEF
Christmas exam: TBA
Final exam: April, 2018
Textbook: E. Kani, N. J. Pullman, N. M. Rice, Algebraic Methods, Queen's University, 2017.
PC software: MAPLE - installed on PC's in Jefflab (JEF 155)


Course Outline

Integers: - Greatest common divisor (gcd), Euclidean algorithm (ch. 1)
- Linear Diophantine equations (ch. 1)
- Modular arithmetic (ch. 2)
- Public key cryptography (ch. 2)

Polynomials: - Review of complex numbers (ch. 3)
- Gcd, Euclidean algorithm (ch. 3)

Approximation: - Data fitting: Lagrange interpolation formula,
                     Least square approximation (ch. 4)

Matrices: - Matrix polynomials, discrete linear systems (ch. 5)
- Applications of Jordan canonical form (ch. 6,7)
- Powers of matrices, stochastic matrices (ch. 7)

Groups: - Permutation groups, cycles, Burnside's theorem,
  application to colouring problems (ch. 8)





Page Last Updated: August, 2017