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Math 211

Algebraic Methods

Fall/Winter 2021/2022

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

Time: Tu 11:30, Wed 13:30, Fr 12:30 (Fall term)
Place: Room 210, Walter Light Hall


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

Office hours:
Tu 12:30 - 13:00
Wed 14:30 - 15:20
Fr 13:30 - 14:30

Marking scheme: Assignments
October Mid-term test
Christmas exam
February Mid-term test
Final exam
15.0%
7.5%
30.0%
7.5%
40.0%
_______
100.0%


Assignments: Due Fridays at 12:30
MAPLE Lab: Wed 15 September, 2021, 13:30-14:30 (in class)
Mid-term tests: Wed 20 October, 2021, 13:30-14:20 (in class)
Christmas exam: TBA
Final exam: TBA
Textbook: E. Kani, N. J. Pullman, N. M. Rice, Algebraic Methods, Queen's University, 2021. (Course Reader)
PC software: MAPLE - available for free from Queen's website. (Log in to MyQueensU and go to Software Centre.)


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: September, 2021