General Information (Catalog listing)
01:640:435 Geometry (3)
Various geometries, including projective and non-Euclidean geometries, and geometric axiom systems.
Prerequisites: CALC3, 01:640:250, and 300, or permission of department.
The officially listed prerequisite is 01:640:311. But equally essential prerequisites from prior courses are Multivariable Calculus and Linear Algebra. Most notions of differential geometry are formulated with the help of Multivariable Calculus and Linear Algebra.
01:640:311, which itself requires Multivariable Calculus and Linear Algebra as prerequisites, is an important prerequisite because it helps students build mathematical maturity and gain the ability to understand, formulate and present precise mathematical concepts and proofs.
- David A. Brannan, Matthew F. Esplen & Jeremy J. Gray; Geometry (second edition);
Cambridge University Press, 2011; (ISBN: 1107647835; ISBN-13: 978-1107647831)
- Optional Texts:
Euclid, The Elements of Geometry, Books I and II
Avaliable from Dover Publications as:
The Thirteen Books of the Elements, Vol. 1 (Books I and II) (second edition, ISBN 0-486-60088-2); 1956.
Also avaliable online
This course is taught during the Fall semester.
Sections Taught This Semester:
- Fall 2008. Prof. Han
- Fall 2007, Sec. 01. Prof. Carbone, Sec. 02. Prof. Gonzalez
- Fall 2006, Sec. 1. Prof. Han
- Fall 2006, Sec. 02. Prof. X. Huang
- Fall 2005, Section 1, Prof. Han
- Fall 2004, Section 1, Prof. Han
- Fall 2002, Section 1, Prof. Han