Mathematics 250: Computation in Algebra and Geometry (Fall 2003)
Instructor
Dave Morrison
Description
Application of computing to problems in areas of
algebra and geometry, such as linear algebra, algebraic geometry,
differential geometry, representation theory, and number theory; use of
general purpose symbolic computation packages such as Maple or Mathematica;
use of special purpose packages such as Macaulay, PARI-GP, and LiE;
programming in C/C++. The course will also introduce students to the use
of AMSLaTeX for typesetting mathematics.
Computers have become important tools for the majority of mathematicians,
both to perform experiments, to visualize data or geometries, or to prove
theorems. They are used for both symbolic computation and numerical
computation. Thus a computing course is required for first year graduate
students in mathematics. Students from other departments are also
encouraged to enroll. Mathematics students who believe they will be
specializing in some area of pure mathematics usually take this course
(Math 250); students who believe they will be specializing in some area of
applied mathematics usually take Math 224 (Scientific Computing I).
Historically, graduate students in mathematics
have often eventually taken both courses.
Prerequisites
Math 201 or equivalent
Text(s)
No required text, however a number of online texts and handouts will be
used and on reserve at the library.
Course Website
For more information see http://www.math.duke.edu/faculty/drm/mth250
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