Mathematics 467, Section 900, Spring 2021

Modern Geometry

Announcements (reverse chronological order)

• 30 April: Next week I will have office hours at the usual times on Tuesday and Wednesday (and none thereafter).
• 6 April: Next Math Club meeting, Apr. 12. (Date is wrong in one place.)
• 24 Feb: The rescheduling message

Course procedures and resources

• ZOOM class meetings: 992 6907 3821 ._. TR 5:00-6:15.
  Students will receive passcodes for classes and office hours through another channel.
• Course handout (syllabus) in DOC equivalent ._. in PDF (please read). (updated 27 Feb)
• Chapter 1 exercises (in case your book arrives late)
• Instructor: S. A. Fulling
  Office: Blocker 620H (but I'm not there during the pandemic)
  ZOOM office hours: 957 9632 7828 ._. T 11-12, W 1-2, F 11-12 (subject to change)
• Submit homework and tests on Gradescope. (More information about Gradescope will be forthcoming soon.)
• Instructions for taking a test over Zoom
• eCampus (Submit group work and read that of others; check your grades.)
• Weekly schedule of topics
• Summary of axioms, definitions, and theorems ._. misprints
• Review exercises for Chapter 2 (a correction to the textbook)
• Policies about term papers (subject to change) ._._. Guidelines for authors ._._. MAA Reference Guide
• Help from ITS about how to put math content into a wiki, or attach a file to it.
• Information from University Writing Center
• Proof of Proposition 3.13
• Preview of midterm exam. Because of our unusual class schedule, this is slightly different from other semesters.
• Preview of final exam.
• Excerpt from Halsted's report on Dehn's models (G. B. Halsted, Science 14 (1901) 705-717). The missing words at the beginning are
  • Manning says, p. 27: "The three hypotheses give rise to three systems of geom-"
• Teams ._._. See Spring 2009's most enthusiastic team.

Old class home pages

• Fall 2020
• Spring 2019
• Fall 2017
• Spring 2017
• Fall 2016
• Fall 2015
• Fall 2014
• Fall 2013
• Spring 2013
• Spring 2011
• Fall 2010
• Fall 2009 (Homework solutions will be visible here after the due date.)
• Spring 2009 ._. Note that the point value of the final exam was larger that time.

Lecture notes

Printer version

• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapters 5 and 6
• Interlude: Arc Length and Riemannian Metric Geometry
• Chapter 7

Projector version

• Chapter 1
• Chapter 2
• Chapter 3
• Chapter 4
• Chapters 5 and 6
• Interlude
• Chapter 7

Weekly instructions

A "week" consists of two consecutive class days. In early March these will come from two different calendar weeks. After that, "Week N" will occur in what the University officially considers "Week N+1".

• Week 1 (Introduction and Chapter 1)
• Weeks 2 and 3 (Chapter 2)
• Weeks 4 and 5 (Chapter 3, betweenness part (and Chapter 8))
• Weeks 6 and 7 (Chapter 3, remainder)
• Weeks 8 and 9 (Chapter 4)
• Weeks 10 and 11 (Chapters 5 and 6)
• Weeks 12 and 13 (Chapter 7)
• Week 14 (Appendix A (and Chapter 8))

Test solutions

• Midterm
• Final

External resources

• MacTutor History of Mathematics Archive (University of St. Andrews)
• Evans Library mathematics course guide and mathematics subject guide
• University Writing Center
• Maurits Escher's visions of the Poincare disc
• David Borthwick's lecture on hyperbolic surfaces

Go to home pages: Fulling ._._. Calclab ._._. Math Dept ._._. University

e-mail: fulling@math.tamu.edu