Time: 
Tu 3:304:30, Th 2:303:30, Fr 4:305:30 
Place:  Room 225, Jeffery Hall 
Instructor: 
Dr. Ernst Kani Room 211, Jeffery Hall Telephone: 5332435 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 Midterm test Christmas exam February Midterm 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, 4:305:30, Room 155 JEF 
Midterm tests:  Thurs, 26 October, 2017, 2:303:30 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) 
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 