Previous Weeks in Math 300 class
This file will contain the week-to-week reading and lecture
schedules. At the end of the week the "this week" will be
modified to reflect what actually happened and will be appended to
this file.
Week 1: Monday, January 21
- Topics
- Introduction to the course
- Some history
- Reading
Monday:
- Martin Luther King, Jr. Birthday. No classes or office hours
Tuesday:
- Introduction to the course
Thursday:
- Some history
- The axiomatic method
- Euclid's first postulate
Friday:
- EP 2 - EP 3
- Definition of angles
Other Notes:
- Office Hours begin next Monday
Week 2: Monday, January 28
Monday:
- Euclid's postulates 4 and 5
- Attempts to prove the parallel postulate
Tuesday:
- "Rules of the Game"
- Introduction to logic
Thursday:
- In-class workshop on straight-edge and compass constructions
Friday:
- Predicate logic and truth tables (part I)
Other notes:
- Office Hours begin this week
Week 3: Monday, February 4
- Topics
- Logic and proof
- Hilbert's axioms
- Reading
Monday:
- Predicate logic: Part II
- converse, contrapositive
- Modus ponens, modus tolens
- More logic rules
Tuesday:
- Predicate Logic and the remaining logic rules
Thursday:
- Hilbert's axioms
- Incidence Axioms
Friday:
Other notes:
- Monday is the last day to drop without record
Week 4: Monday, February 11
Monday:
- Interpretations and models
- Homework returned - notes
Tuesday:
- Isomorphisms of models
- Axioms of betweeness
Thursday:
- Affine -> Projective Planes
Friday:
- Hilbert's axioms
-
Axioms of betweeness
- Some notes on topology
Other notes:
- Hour exam #1 is next week
- Please see Friday's Lecture Notes for
details of the lecture given Friday, February 8.
Week 5: Monday, February 18
Monday:
- Axioms of betweeness
- A quick note on set theory
- No office hours Monday
Tuesday:
- Axioms of betweeness
- Return homework #2 - notes
Thursday:
- Axioms of betweeness
- Return homework #3 - notes
- Review for exam #1
Friday:
Other notes:
- Hour exam #1 is this week
- No office hours next week on Thursday, February 28, and no classes or office hours
next week on Friday, February 29
(travel to and attendance at the
Columbia History of Science Group seminar at Friday Harbor)
Week 6: Monday, February 25
Monday:
Tuesday:
Thursday:
- No office hours today (see note below)
- Exam #1 returned and discussed.
Friday:
- No classes or office hours today (see note below)
Other Notes:
- No office hours Thursday, February 28, and no classes or office hours on Friday, February 29
(travel to and attendance at the Columbia History of Science Group seminar at Friday Harbor)
Week 7: Monday, March 3
Monday:
- Instructor ill - no classes or office hours
Tuesday:
- Pasch's Theorem
- Propositions leading up to the crossbar theorem
Thursday:
- Crossbar Theorem
- Axioms of congruence
Friday:
Other notes:
- Monday is the last day to drop with an automatic 'W'
- Spring Break is week after next (March 17 - 21)
- Hour exam #2 will be the Friday following Spring Break.
Week 8: Monday, March 10
- Topics
- Hilbert's axioms
- Neutral geometry
- Reading
Monday:
Tuesday:
Thursday:
- Segment ordering
- Angle ordering
Friday:
Other notes:
- Spring Break is next week! (March 17 - 21)
- Hour exam #2 will be the Friday following Spring Break.
Week 9: Monday, March 17
- Topics
- Spring Break! No classes or office hours
- Reading
Other notes:
- Spring Break is this week! (March 17 - 21)
- Hour exam #2 will be the Friday following Spring Break.
Week 10: Monday, March 24
- Topics
- Hilbert's Axioms
- Neutral geometry
- Reading
Monday:
Tuesday:
- The parallel axiom
- Neutral Geometry
- Alternate interior angle (AIA)
theorem and consequences
Thursday:
- Return of homework - notes
- Review for Hour exam #2
Friday:
Other notes:
- Hour exam #2 will be this Friday.
Week 11: Monday, March 31
Monday:
Tuesday:
- Measure of angles and segments
Thursday:
- Exam #2 returned and discussed
- Saccheri and Lambert Quadrilaterals
Friday:
Other notes:
- Exam #3 will be Friday, May 2. Please note that this is in
the last full week of the term.
- Student problem presentations will begin next week
Week 12: Monday, April 7
- Topics
- History of the parallel postulate
- Discovery of Non-Euclidean geometry
- Reading
- Greenberg: Chapters 4, 5, and 6
Monday:
- Equivalence of various parallel postulates
Tuesday:
- Saccheri and Lambert Quadrilaterals
Thursday:
- Student problem presentation
Friday:
- Saccheri and Lambert Quadrilaterals
Other notes:
- Exam #3 will be Friday, May 2. Please note that this is in
the last full week of the term.
Week 13: Monday, April 14
- Topics
- History of the parallel postulate
- Discovery of Non-Euclidean geometry
- Reading
Monday:
- Saccheri and Lambert quadralaterals :
Tuesday:
Thursday:
- Student problem presentation
Friday:
- Angle sum of a triangle
- Brief history of the parallel postulate (to Clairaut's axiom)
Other notes:
- Exam #3 will be Friday, May 2. Please note that this is in
the last full week of the term.
Week 14: Monday, April 21
- Topics:
- History of the parallel postulate
- Development of hyperbolic geometry
- Classification of parallels
- The Klein and Poincare models
- Reading:
Monday:
- The history of the parallel postulate
- The development of hyperbolic
geometry
Tuesday:
- Introduction to hyperbolic geometry
- AAA congruence in hyperbolic
geometry
Thursday:
- Student problem presentation
Friday:
- Parallel lines (through proposition 6.4)
Other notes:
- Exam #3 will be Friday, May 2. Please note that this is in
the last full week of the term.
- Wednesday, May 7, is the last day of classes. No work can be accepted
after 5:00 on that date.
Week 15: Monday, April 28
Monday:
- A day of straight-edge and compass constructions
Tuesday:
- Classification of parallels
Thursday:
- Student problem presentation
- A quick look at models
- The inverse of a point
- Exam #3 review
Friday:
Other notes:
- Exam #3 will be Friday, May 2. Please note that this is in
the last full week of the term.
- Wednesday, May 7, is the last day of classes. No work can be accepted
after 5:00 on that date.
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