MAT 3271
Section 001, Fall 2015

Dr. Delman

Syllabus


Announcements

In case it is handy, here is the take-home portion of the final exam.



Assignments:

Assignment 1, due Monday, August 31, 2015:  Greenberg, Chapter 1, Major Exercises 1, 2, & 4.

Assignment 2, Due Friday, September 4:  Greenberg, Chapter 1, Exercises 1-5.

Assigment 3, due Monday, September 14:  Greenberg, Chapter 1, Exercises 7, 8, 9, 12, 13.  For extra credit, if you are interested, but it would take some time:  15.  (Extra credit problems may be turned in at any time before the end of the semester.)

Assignment 4, due Monday, September 21:  Greenberg, Chapter 2, Exercises 1, 3, 4, 5, 6 (except those done in class*), 7.

Assignment 5, due Monday, September 28:  Greenberg, Chapter 2, Exercises 8-12 & Major Exercises 1, 2.

Assignment 6, due Friday, October 23: Greenberg, Chapter 2, Major Exercises 2, 4-10.

Assignment 7, due Monday, November 2:  Greenberg, Chapter 3, Exercises 1-5, 9-13, 19.

Assignment 8, due Wednesday, November 18:  Greenberg, Chapter 3, Exercises 21-23, 25, 28, 29, 31, 32.

Assignment 9, due Wednesday, December 9:  Greenberg, Chapter 4, Exercises 9-13, 21, 22, 27-29, 31, 33.

 *I expect to do Propositions 2.1 and 2.2 completely in class.  I will discuss Proposition 2.3, but you will be expected to write the complete proof as part of this assignment.
 		Exams:

Exam 1

Exam 2

Exam 3
References & Required Tools:

Textbook:

Euclidean and Non-Euclidean Geometries, by Marvin Jay Greenberg.

Additional References (on reserve at Booth Library): 

The Elements, by Euclid (Sir Thomas Heath, trans.)
Geometry: Euclid and beyond, by Robin Hartshorne

The Elements is also available for free on-line in various places, such as these:
Required Tools: compass, straightedge.  Recommendations:  Get a good compass with a sharp needle and a screw that holds its position.  They are not that expensive, a good one will last the rest of your life, and as a mathematician and mathematics teacher you will want to have it.  Cheap compasses are unsatisfying exercises in frustration.  A 3-edged architect's rule is the best straightedge; the edges lie very flat on the paper, making it easy to draw really straight lines.
 
Optional Tools:

Helpful free software:  Cinderella, Geogebra

Helpful licensed software available on campus:  Geometer's Sketchpad

You will probably find it convenient to have a few colored pencils.

 		Supplementary Materials:

How is mathematics related to literature and art?  Some examples to think about:  poems by Mary Oliver;  Christina's World, by Andrew Wyeth;  Sunflowers in the Windstorm, by Emil Nolde;  Self-portrait, by Gwen John;  Pat Whalen, by Alice Neel

Proof of the Pythagorean Theorem in Euclidean Geometry

Hyperbolic Geometry in Nature:  Coral

Solutions to Assignment 2

Solutions to Assignment 3

Solutions to Assignment 4

Solutions to Assignment 5

Solutions to Assignment 6

Solutions to Assignment 7


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