MA 408 Section 1. Approximate Schedule for Spring 2007
NORTH CAROLINA STATE UNIVERSITY
Department of Mathematics
Class meets at HA 325, except
for the labs which are held in HA G108. Exams
are in HA 325.
Text: Foundations of Geometry by G. A. Venema, Prentice Hall, ISBN 0-13-143700-3
| Week |
Sections | Text Description |
|---|---|---|
| 1. January 11 | Chapter 2 | Undefined and defined notions, axioms, theorems. Incidence geometry. |
| 2. January 16 | Chapter 3, Chapter 4 |
Theorems,
Proofs, Logic. Set notation and the real numbers. |
| January 18 | 5.3, 5.4 |
Axioms: existence, incidence,
distance, metric. |
| 3. January 23 | in
HA G108 |
Lab:
Taxi-cab geoemetry. |
| January 25 January 27 |
5.5, 5.6 |
Axioms: plane
separation, angle measure. Last day to add a class without a penalty. |
| 4. January 30 | 5.7 |
Betweenness and the cross-bar theorem. |
| February 1 | 5.8 |
Side-Angle-Side postulate. Review for the test. |
| 5. February 6 | Tuesday, February 6 --Test 1 | |
| February 8 | 6.1, 6.2 |
Geometry without parallel postulate. |
| 6. February 13 | in HA G108 | Lab: Poincare disc model for hyperbolic geometry. |
| February 15 | 6.3, 6.4 |
Exterior angle theorem and three more inequalities for triangles. |
| 7.
February 20 February 21 |
6.5, 6.6 |
The alternate interior angle
theorem. The Saccheri-Legendre Theorem. Last day to drop a course without a grade, or change to credit only or audit at the 400 level or below. |
| February 22 | 6.7, 6.9 |
Quadrilaterals, defect. |
| |
||
| 8. February 27 | 6.9 |
Properties of Saccheri and Lambert quadrilaterals. |
|
March 1 March 5-9 |
6.8, 7.2 |
Statements
equivalent to the Euclidean parallel postulate. Spring Break |
| 10. March 13 | 7.3, 7.4 |
Parallel projection. Similar triangles. |
| March 15 | 7.5, 7.6 |
Pythagorean Theorem. Trigonometry. |
| 11.
March 20 |
7.7 | Exploring Euclidean geometry of a triangle. |
|
March 22 |
in HA G108 | Lab: Exploring Cevian triangles. |
| 12.
March 27 |
9.1, 9.2, 9.5 | Area in Euclidean and Hyperbolic geometry. |
|
March 29 |
10.1-10.4 |
Circles in Euclidean geometry. |
| 13.
April 3 |
10.4, 10.6 |
Circles in Euclidean geometry. |
| April 5 | in
HA G108 |
Lab:
Isometries: rotations,
translations, reflections. (12.1-12.3) |
| 14.
April 10 |
12.4, 12.7 | Classification of Euclidean motions. Inverions. |
| April 12 | ||
| 15. April 17 | Review for the test |
|
|
April 19 |
Thursday, April 19 --Test 2 | |
| 16.
April 24 |
in HA G108 | Lab: Inversions |
|
April 26 |
First set of student presentations. | |
| Tuesday, May 1 | 1--4 pm | Second set of student presentations. |