Time: |
Tu 11:30, Wed 13:30, Fr 12:30 (Fall term), Mo 10:30, Wed 9:30, Fr 8:30 (Winter term)
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Place: | Room 210, Walter Light Hall (Fall term), Online/Room 128, JEF
(Winter term)
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Instructor: |
Dr. Ernst Kani Room 211, Jeffery Hall Telephone: 533-2435 Email: kani@mast.queensu.ca |
Office hours (Fall):
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Tu 12:30 - 13:00 Wed 14:30 - 15:20 Fr 13:30 - 14:30 |
Marking scheme: |
Assignments October Mid-term test Christmas exam March 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) Wed 02 March, 2022, 9:30-10:20 (in class) |
Christmas exam: | 16 December 2021, 9:00-11:00 (online) |
Final exam: | 18 April, 9:00-12:00
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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.) |
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) |
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Page Last Updated: January, 2022 |