Course Title: Euclidean Curves & Surfaces
Course Number: MATH 4530 - 1
Instructor: Andrejs Treibergs
Days: M, W, F, 10:45 - 11:35 AM in LCB 215
Office Hours: 12:40-1:30 M, W, F, in JWB 224 (tent.)
Prerequisites: Advanced calculus (e.g. MATH 2210 or consent of instructor.)
Text: John Oprea, Differential Geometry, 2nd. ed. PEARSON/Prentice Hall, 2004.

Final for M 4530-1 is Monday, May 3, 2004 at 10:30 am - 12:30 pm in LCB 215.

Syllabus for Math 4530§1.

Homework for Math 4530§1.

Supplementary Notes for M4530, .pdf, .pdf, .dvi

MAPLE worksheet for reviewing of M4530

The hyperbolic plane and its immersions into R3

The Hyperbolic Plane and its Immersions into R3

We study how to describe and compute geometric features of curved surfaces in Euclidean three space. We describe the Gauß and mean curvature of a surface. We shall discuss applications to cartography, soap films and bubbles. We shall touch opun mechanical and variational principles. We shall also mention non-Euclidean geometries. We shall use the MAPLE computer algebra system to illustrate text and lectures.

Topics include (depending on time):

Last updated: 3 / 26 / 4