MA 408 Section 1. Approximate Schedule for Fall 2009

NORTH CAROLINA STATE UNIVERSITY

Department of Mathematics

Class meets from 3 to 4:15 pm at RD 451, except for the labs which are held in HA G108.
All exams are in the regular classroom.

Text: Foundations of Geometry by G. A. Venema, Prentice Hall, ISBN 0-13-143700-3

Week
Sections
Text Description
1. August 20
Chapter 2

 Undefined and defined notions, axioms, theorems. Incidence geometry



2. August  25
 Chapter 3

 Theorems, proofs, logic.
    August 27
 Chapter 4 Set notation and the real numbers.

For math majors: deadline to inform me (via e-mail) that you'd like to register for math major paper in conjuncture with this class.



3.   September 1
 in HA G108  Lab 1:  Intro to the Geometer's Sketchpad. Taxicab geometry;
Last day to add a class and last day to drop a class with tuition adjustment.
      September 3
 5.3, 5.4 Axioms: existence,  incidence, distance



4.  September  8
5.5
  The Palne Separation Postulate
      September 10
 5.6   Angle Measure and the Protractor Postulate



5. September 15
 5.7
 Betweenness and the cross-bar theorem
     September 17
 5.8, 5.9, 6.1 Side-Angle-Side Postulate. Parallel postulates and geometry without parallel postulates.



6.  September 22
 
  in HA G108 Lab 2:  Poincare disc model for hyperbolic geometry
     September  25                     
6.2
ASA and its consequences



7. September  28
 6.3 Exterior angle theorem for triangles.
      October 1
Review for the test.



 8. October 6
TEST 1
October    8 — 9
Fall Break.



 9.  October 13 6.4 Three more inequalities for triangles.
     October 15
 6.5, 6.6 The alternate interior angle theorem.
The Saccheri-Legendre Theorem.
     October 16
Last day to drop a course without a grade, or change to credit only or audit.

Deadline to post your project topic on http://vista.ncsu.edu



10. October  20
 in HA G108 Lab 3:  Properties of Saccheri and Lambert quadrilaterals
      October  22
 6.7 Quadrilaterals and defect. Saccheri and Lambert quadrilaterals



11. October  27
 6.8, 7.2 Statements equivalent to the Euclidean parallel postulate.

      October  29
 7.3, 7.4 Parallel projection. Similar triangles.

12. November 3
 7.5, 7.6
 Pythagorean Theorem. Trigonometry
      November 5
 7.7  Exploring Euclidean geometry of a triangle



13. November  10
in HA G108 Lab 4: Circles in Euclidean geometry.
       November 12
 		10.1-10.4 Circles in Euclidean geometry.
 


14. November  17 9.1,9.2, 9.5 Area in Euclidean and Hyperbolic geometry.
       November  19
Review for the test.



15. November 24
TEST 2

November 25--30

Thanksgiving Break.



16. December 1
 in HA G108
 Lab 5: Isometries.
    Thursday  December 3
Final Project Presentation.
Thursday, December 17
1--4 pm
 Final Project Presentation.