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Intro to Computer Algebra, Spring 2017

MACM 401, MATH 701 and MATH 801

Office Hours

Mondays 9-10am, Tuesdays and Fridays 10-11am, Room K10501.

Content

  • (2) Algorithms for long integer multiplication and GCD computation.
  • (2) Unique factorization and Euclidean.
  • (2) Polynomial rings, pseudo division and polynomial GCD computation.
  • (2) The Chinese remainder theorem and polynomial interpolation.
  • (2) The Fast Fourier Transform and fast multiplication.
  • (2) Polynomial GCD computation and the Sylvester resultant.
  • (3) The P-adic Newton iteration, Hensel's lemma and Hensel lifting.
  • (3) Polynomial factorization over finite fields and the integers.
  • (1) Representation and differentiation of formulae on a computer.
  • (2) Algorithms for rational function integration.
  • (4) The Risch decision procedure for elementary function integrals.

Textbook

Algorithms for Computer Algebra by Geddes, Czapor and Labahn

Maple

We will use Maple extensively for calculations and programming in this course. Much of the course is about how Maple works. SFU has a site license for Maple. Maple is installed on the PCs and MACs in the assignment lab, the CECM lab, university open labs and the library. Maple is available from Maplesoft for a very good price at Maple 18 for Canadian Students for $99

25% Discount code

The following Maple worksheet [ in Maple worksheet format (.mws) and Adobe PDF format (.pdf) ] contains notes for how to use Maple. Please read through this even if you have used Maple before.

MapleNotes.mws     MapleNotes.pdf

p. (778) 782-4279 · f. (778) 782-4947 · Shrum Science K 10501 · Department of Mathematics · 8888 University Drive · Burnaby · BC · V5A 1S6 · Canada