Previous Weeks in the Honors 213 class

Reading: Chapter 1

Suggested additional reading: Hardy: A Mathematician's Apology

Monday: Martin Luther King Day: No classes

Tuesday: Introduction to the course

Thursday: The axiomatic method

Friday: The parallel postulate

Reading: Chapter 2

Suggested additional reading:

Monday: Theorems and proofs

Tuesday: Some useful rules of logic

Thursday: Truth tables

Friday: Models

Other notes:

• The first hour exam will be next Friday (Feb 4)

Reading: Chapters 2, 3

Suggested additional reading: Hardy: A Mathematician's Apology

Monday:

• Incidence geometry
• Interpretations and models

Tuesday: Isomorphism of models

Thursday: Hilbert's axioms

Friday: Hour Exam #1

Reading: Chapters 3, 4

Suggested additional reading:

Monday: Congruence

Tuesday: Continuity

Thursday: More useful rules of logic

Friday: Models

Reading: Chapters 3

Monday: Betweeness Axioms

Tuesday: Betweeness

Thursday:Betweeness

Friday: Betweeness:  Pasch's theorem. A survey of other results on betweeness

Week 6: Monday, Feb. 21

Reading: Chapter 3

Monday:

• Discussion of problem set

Tuesday:

• Class Presentation

Thursday:

• Axioms of congruence

Friday:

• Axioms of congruence

Other notes:

• The next hour exam will be Tuesday, Feb. 29 (Please note change from original schedule)

Reading: Chapters 3, 4

Suggested additional reading:

Monday:

• Axioms of continuity

Tuesday:

• Exam #2 (Please note change in date)

Thursday:

• Axiom of parallelism

Friday:

• Introduction to Neutral Geometry

Week 10: Monday, March 20

Reading: Chapter 4

Monday:

• Alternate Interior Angle Theorem

Tuesday:

• Exterior Angle Theorem

Thursday:

• Saccheri-Legendre Theorem

Friday:

• Discussion of G. H. Hardy's A Mathematician's Apology

• The next hour exam will be Monday, March 27 (Please note change from original schedule)

The next hour exam will be given on Monday, March 27 (changed from Friday, March 24)

Week 11: Monday, Feb. 28

Reading: Chapters 5

Suggested additional reading:

Monday:

• Exam #3 (Please note change in date)

Tuesday:

• Equivalence of parallel postulates

Thursday:

• History of the parallel postulate

Friday:

• History of the parallel postulate. Paper?

• The next hour exam will be given on Friday, April 14

Week 14: Monday, April 17

Reading: Chapter 7

Monday:

• Consistency of hyperbolic geometry depends on consistency of Euclidean geometry.

Tuesday:

• The Poincare disk model

Thursday:

• Inversions in circles, cont'd

Friday:

• Inversions in circles, cont'd

• The next hour exam will be this coming Monday, April 24 (Please note change from original schedule)

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