Previous Weeks in Honors 213 class
Week 1: Monday, January 15
- Topics
- Introduction to the course
- Some history
- Reading
Monday:
- Martin Luther King, Jr. Birthday. No classes or office hours
Tuesday:
- Introduction to the course
Wednesday:
- Some history
- The axiomatic method
Friday:
- Euclid's first four postulates (we covered EP1 and EP2)
Other Notes:
- Office Hours begin next Monday
Week 2: Monday, January 22
Monday:
- EP3, EP4
- EP5: The parallel postulate
- No office hours today (Department meeting)
Tuesday:
- EP5: The parallel postulate
- Attempts to prove the parallel postulate
Wednesday:
- Introduction to logic: propositional logic and truth tables.
Friday:
- No class - instructor ill
Other notes:
- Office Hours begin this week
Week 3: Monday, January 29
Monday:
- Tautologies in the propositional calculus
- Predicate logic and quantifiers
Tuesday:
- Predicate Logic and quantifiers
- Rules for quantifiers
Wednesday:
- Theorems and proofs
- Rules of the game
Friday:
Other notes:
Week 4: Monday, February 5
Monday:
- Return HW #1
- Rules of the game (concluded)
- Incidence Geometry
- Interpretations and models
Tuesday:
- Incidence Axioms
- Models and Isomorphisms
Wednesday:
- Models and Isomorphisms
- Hilbert's Axioms
Friday:
- Return HW #2
- Discussion on compass and straight-edge constructions.
Other notes:
- Hour Exam #1 is next week
Week 5: Monday, February 12
Monday:
- Discussion on homework assignment
Tuesday:
- Affine and projective planes
Wednesday:
- Discussion of homework assignment
- Review for exam #1
Friday:
Other notes:
Week 6: Monday, February 19
Monday:
- The problem with Euclid
- Axioms of betweeness
Tuesday:
- Axioms of betweeness: Plane separation
Wednesday:
- No class (instructor ill)
Friday:
- Return of exam :notes
- Axioms of betweeness
Other notes:
- Term paper proposals due next Monday
Week 7: Monday, February 26
Monday:
- Axioms of betweeness: line separation
- Term paper proposals due
Tuesday:
- Axioms of betweeness:
Line separation
Wednesday:
- Axioms of betweeness: Angles
Friday:
- No class (History of Science Conference)
Other notes:
- No class or office hours Thursday and Friday (History of Science
Conference)
- Please note that the last day to withdraw with an automatic 'W' is
Monday, February 26. The rules for withdrawing from a class have
changed. Please review the revised policy on course withdrawals in the
Student Handbook
Week 8: Monday, March 5
Monday:
- Axioms of congruence (through CA3)
Tuesday:
- Discussion of homework assignment
- Axioms of congruence
Wednesday:
- Axioms of congruence: triangles
Friday:
Other notes:
- Mid-term is Friday, March 9 (not an exam date for us)
- Spring Break is next week! (no classes or office hours)
- Hour exam #2 will be Friday following Spring Break
- Annotated term paper bibliography due Monday after Spring Break.
Week 9: Monday, March 12
Spring Break! (no classes or office hours)
Other notes:
- Hour exam #2 will be Friday following Spring Break
- Annotated term paper bibliography due Monday after Spring Break.
Week 10: Monday, March 19
- Topics
- Hilbert's axioms
- Neutral geometry
- Reading
Monday:
- Congruence of angles
- Annotated term paper bibliography due
Tuesday:
Wednesday:
Friday:
Other notes:
Week 11: Monday, March 26
Monday:
- Dedekind's Axiom (born November 24, 1859)
- Axiom of parallelism
- Introduction to neutral geometry
- Exterior angle theorem
- Presentation problems assigned
Tuesday:
Wednesday:
- Measures of angles and segments
Friday:
- Saccheri-Legendre theorem
Other notes:
Week 12: Monday, April 2
Monday:
- Some equivalents to the parallel postulate
- Angle sums of triangles
Tuesday:
- Student problem presentations
- History of the parallel postulate
- Additional presentation problems assigned
Wednesday:
- Student problem presentations
- The second Saccheri-Legendre theorem
Friday:
- The second Saccheri-Legendre theorem
Other notes:
- Term paper draft due Friday, April 13 (next Friday!)
- Hour Exam #3 will be Friday, April 27. Please note that this is in
the last full week of the term.
- Last day of class is Wednesday, May 2
Week 13: Monday, April 9
Monday:
- History of the parallel postulate
Tuesday:
- History of the parallel postulate
Wednesday:
- Discovery of hyperbolic geometry
Friday:
- Introduction to hyperbolic geometry
- Term paper draft due
Other notes:
- Term paper draft due Friday, April 13
- Hour Exam #3 will be Friday, April 27. Please note that this is in
the last full week of the term.
- Wednesday, May 2, is the last day of classes. All course materials
due. No class work can
be accepted past 5:00 on that date.
Week 14: Monday, April 16
Monday:
- Hyperbolic Geometry: parallel lines that admit a common perpendicular
Tuesday:
- Student problem presentations
Wednesday:
- Student problem presentations
Friday:
- Ruler-and-compass work day: please bring a ruler and compass to
class.
Other notes:
- Hour Exam #3 will be Friday, April 27 (next week!). Please note that this is in
the last full week of the term.
- Wednesday, May 2, is the last day of classes. All course materials
due. No class work can
be accepted past 5:00 on that date.
- We will have a ruler-and-compass work day either Friday of this week or
Monday of next week. Please come prepared with ruler and compass.
Week 15: Monday, April 23
- Topics
- Reading
- Greenberg: chapters 7, 8
- Please read The Three Crises in Mathematics: Logicism,
Intuitionism and Formalism Mathematics Magazine, Vol. 52, No. 4. (Sep.,
1979), pp. 207-216.
Stable URL:
Stable URL (From JSTORE)
Monday:
- Hyperbolic Geometry: Asymptotic rays
- Classification of parallels
- Independence of the parallel postulate
Tuesday:
- Consistency of hyperbolic geometry
Wednesday:
Friday:
Other notes:
- Hour Exam #3 will be Friday, April 27. Please note that this is in
the last full week of the term.
- Wednesday, May 2, is the last day of classes. All course materials
due. No class work can
be accepted past 5:00 on that date.
Week 16: Monday, April 30
- Topics
- Reading
- Greenberg: chapter 8
- Please read The Three Crises in Mathematics: Logicism,
Intuitionism and Formalism Mathematics Magazine, Vol. 52, No. 4. (Sep.,
1979), pp. 207-216.
Stable URL:
Stable URL (From JSTORE)
- Please also read the Poincaré handout
Monday:
- Final discussion on hyperbolic geometry
- Foundations
Tuesday:
- Foundations (Chapter 8, Poincaré reading)
- Exam returned and discussed
Wednesday:
- Foundations (Ernst Snapper article)
- Review for final exam
Friday:
- Reading Period - no classes. Office hours Friday 2:00 - 3:00.
No office hours Thursday.
Other notes:
- Wednesday, May 2, is the last day of classes. All course materials
due. No class work can
be accepted past 5:00 on that date.
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