MATH 471, GEOMETRY FOR TEACHERS
(Problem solving oriented introduction
to Euclidean and non-Euclidean geometries.)

Syllabus - Extra credit problems

• Midterm, Fri Feb 28, in class, 5 problems:
  • 2 theorems from the list (possibly with related definitions):
    2.2, 2.5, 2.13,
    4.1, 4.2, 4.4, 4.5,
    5.2, 5.5, 5.10, 5.15, 5.17,
    6.4,
    7.1, 7.3 7.8, to be continued;
  • 2 HW problems from the list (possibly with related definitions):
    1.4, 2.14, 4.3, 4.6, 4.7, 5.3, 5.4, 5.7, 5.12, 5.16, 5.18, 5.19, 5.20, 6.5, 6.8, 6.9, 7.7, 7.10, to be continued;
  • one new problem.
• You may prepare and use a cheat sheet --- one sided standard paper size, include diagrams and formulas, but no words. Do not make it cryptic.

• Lecture 01, due 15:35, Wed, Feb 19.
  You should receive a message with a selection of construction problems.
  Your lecture should be useful to someone---find such a person or imagine one. In the lecture, you should:
  • Formulate the problem,
  • Explain how to come up with the right idea for solving it,
  • Demonstrate that the solution works, and
  • Explain why it works.
  Record your lecture in ZOOM and upload the link to CANVAS.
  The lecture should be no longer than 5 minutes.
  For better results, consider asking other student(s) to participate and ask questions.
• HWA-05, due 15:35, Mon, Feb 17.
  • Read Chapters 6 and 7.
  • Exercises: 6.5, 6.8, 6.9, 7.7, 7.10.
• HWA-04, due 15:35, Mon, Feb 10.
  • Read Chapters 5 and 6.
  • Exercises: 5.12, 5.16, 5.18, 5.19, 5.20.
  • Soon, I will ask you to record a short lecture on one of the constructions in ZOOM; it should be approximately like this one, but shorter. Please watch it and make sure you can do something similar.
• Construction set 03.
• HWA-03, due 15:35, Mon, Feb 3.
  • Read sections A--E in Chapter 5.
  • Exercises: 5.1, 5.3, 5.4, 5.7, 5.9. (Scan to PDF and upload to CANVAS.)
• Construction set 02.
• HWA-02, due 15:35, Mon, Jan 27.
  • Skim thru Chapter 3; make sure that your intuition agrees with 3.7, 3.9, 3.10, 3.12, and 3.17.
  • Read Chapter 4.
  • Exercises: 3.13, 4.3, 4.6, 4.7, 4.8. (Scan to PDF and upload to CANVAS.)
• Construction set 01.
• HWA-01, due 15:35, Fri, Jan 17.
  • Read the 2nd chapter (using the 1st chapter as a reference).
  • Exercises: 1.4, 1.5, 1.13, 2.12, 2.14; scan to PDF and upload to CANVAS.
  • Test construction --- get to "Well done", make a screenshot, and upload it to CANVAS. This part will not be graded; it is to ensure that you can run these applets on your computer. (Spend no more than 3 minutes on it.)