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Math 622.600
Differential Geometry of
Curves and Surfaces
Course Information
Math 622 is a comprehensive introduction to the geometry of curves and
surfaces in the plane and Euclidean three-dimensional space. In
recent years geometrically inspired methods have gained wide
acceptance in many areas of mathematics and applications. Math 622
provides necessary background for understanding these methods. Topics
developed in this course have applications in a variety of fields such
as geometric analysis, computational geometry, mathematical physics,
several complex variables, functional analysis, control theory, etc.
From the catalog: Local and global theory of parametrized curves;
regular surfaces, local coordinates, first fundamental form,
orientation, area; Gauss map, second fundamental form; topics chosen
from special surfaces, intrinsic geometry of surfaces, global
differential geometry of curves and surfaces.
(A detailed syllabus is provided.)
Prerequisite: Math 311 or equivalent; i.e., the student should be
familiar with basic concepts of linear algebra and multivariable
calculus.
Jon Pitts
Office: MILN 312
Email: j-pitts@tamu.edu
URL: http://www.math.tamu.edu/~jon.pitts/
Class meets TT 11:10-12:25 in CE 223.
Office hours are (tentatively) TR 1:30-3:00 and by appointment.
Differential Geometry of Curves and Surfaces by Manfredo
DoCarmo, Prentice Hall, 1976.
There will be a midterm examination (25%), a term paper (25%), and a
final examination (25%). Homework problems (25%) will be assigned on
a regular basis. Class participation is encouraged.
| A - Did all of the work well. |
| B - Did all of the work adequately. |
| C - Did most of the work. |
| F - Failed to complete a substantial amount of the required work.
|
Created August 14, 2002. Last modified December 6, 2002.
URL: http://www.math.tamu.edu/~jon.pitts/courses/2002c/622/
Copyright ©2002 by
Jon T. Pitts