Groebner Bases and Algebraic Geometry.
       MATH 439, MATH 739, MATH 819, Spring 2010.
       
 Instructor : Dr. Michael Monagan.
 Office: Room: 10501
 E-mail: mmonagan@cecm.sfu.ca 
 URL:    www.cecm.sfu.ca/~mmonagan
 Tel: (778) 778-4279
 Lab: (778) 782-5617

 Marker : Pinar Colak

 Classes: Mondays, Wednesdays, Fridays 10:30am - 11:20am in WMC 2507
 Final exam: 24 hour take home final.
 Course webpage: www.cecm.sfu.ca/~mmonagan/teaching/MATH439


        Course text and outline.

 Ideals, Varieties, and Algorithms: An Introduction to
 Computational Algebraic Geometry and Commutative Algebra.
 Cox, Little, O'Shea, 3rd edition, Springer-Verlag.

 Chapter 1 (1.5 weeks) Geometry, Algebra, Algorithms.
 Chapter 2 (3 weeks)   Groebner Bases.
 Chapter 3 (1.5 weeks) Elimination Theory.
 Chapter 4 (3.5 weeks) The Algebra-Geometry Dictionary
 Chapter 5 (1.5 weeks) Polynomial and rational functions on a variety
 Chapter 6 (1 week)    Applications


 Grading:          MATH 439 and MATH 739       MATH 819
           6 Assignments    60%                   60%
           Final exam       40%                   30%
           Course project   ---                   10%

                               Cheating Policy

 If you copy someone elses solutions on an assignment you will get zero
 for that assignment AND zero for a preceeding assignment.
 If you cheat on the final you will get zero for the final.
 All instances of cheating will be notified to the chair of the
 department and will go on your record.
 If you collaborate on assignment questions, which is fine, just be
 prepared to explain your solutions to me.

                                Maple

 We will be using Maple for calculations throughout the course.
 SFU has a site license for Maple.  Maple 13 is available in all
 the instructional labs in the AQ under "Statistics Applications".
 Maple 13 can be purchased from the SFU micro computer store.
 Older versions of Maple will be fine for this course.