Geometry
Math 342 - Spring 2006
Syllabus and assignments
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Instructor: Dr. C. Edward Sandifer Office: Higgins 219 C Office Phone: (203) 837-9362 eMail: SandiferE (at) WCSU.edu
Office hours: click here: office hours
Meets: Higgins 110 TuTh 8:00 - 9:15
Book list: Roads to Geometry, 3rd Edition, by Edward C. Wallace and Stephen F. West, Pearson/Prentice Hall, ISBN 0-13-041396-8
Final Exam -Tuesday, May 16 at 11:00 am
Course description from the catalog
MAT
342 Topics in Geometry 3 SH
Expect to cover: Almost all of chapters 1, 2 and 3 of the textbook, and parts of chapters 4 and 6. See additional details at the bottom of this page
Expected course requirements:
Grading: The worth of an assignment is exactly proportional to the number of points on the assignment. Corollaries:
Honesty:
Within these parameters, I want to encourage a culture of community learning, where people help each other learn and support each other's dreams, ambitions and success.
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Homework assignments from the Book. Due dates will be announced in class, and posted on the course home page.
1. Ch 1.3 p 24 5,6,7,8,30
2. Ch 2.6 p 71 6, 10, 11
3. Ch 3.2 p 88 6, 7, 8, 10
4. Ch 3.3 p 94 1, 10
5. Ch 3.4 p 101 2
6. Ch 3.5 p 106 1
7. Ch 3.6 p 115 2, 3, 4, 5, 6, 14, 15, 16
List of modern (since 1600) geometers (in alphabetical order)
Beltrami
Birkhoff, G. D.
Bolyai
Coxeter, HSM
Desargues
Descartes (1596-1650)
Euler (1707-1783)
Fano, Gino (1871-1952)
Fermat (1605-1665)
Gauss (1777-1855)
Gergonne
Heath , Sir Thomas Little, FRS (1861-1940)
Hilbert
Klein
L’Huilier
Lagrange
Lambert
LeGendre
Lobachevsky
Pascal
Pasch
Poincaré
Poncelet (1788-1867)
Riemann
Saccheri
Steiner
van Schooten
Nobody’s heard of my young friend
Tom Hull
Folding Flat theorem
Pictures and short biographies of many of these at
http://www-groups.dcs.st-and.ac.uk/~history/
Expect to cover
Expect to cover:
Chapter 1 – Axiomatic Systems
1.1 Historical Background
1.2 Axiomatic Systems
1.3 Finite Geometries
1.4 Axioms for incidence geometry
Chapter 2 – Axiom Sets
2.2 Euclidean Geometry
2.3 Modern Euclidean Geometries
2.4 Hilbert’s Axioms
2.5 SMSG Postulates
Chapter 3 – Neutral Geometry
3.1 – 3.7
Chapter 4 – Euclidean Geometry
4.2
4.5
4.8
Chapter 6 – Non-Euclidean Geometry
6.2 – 6.4
This makes 20 sections