MATH 427, FOUNDATIONS OF GEOMETRY
(Euclidean and various non-Euclidean geometries
and their development from postulate systems.)

Syllabus - Extra credit problems

• Мidterm: Fri, Nov 10, in class, 5 problems:
  • 2 theorems from the list (possibly with related definitions):
    11.1, 11.4, 11.8, 11.9, 12.6, 12.8, 12.9, 12.10, 13.3, 13.6, 13.10, 13.13;
  • 2 problems from HWA 09--11 (possibly with related definitions);
  • 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.
• The office hours shifted to Thu, Nov 9, 17:00--17:50 psu.zoom.us/my/anton.petrunin (this week only).

• HWA-11, due 11:15, Mon, Nov 6.
  • Read and understand: Chapter 13.
  • Exercises: 13.5 (solution), 13.8, 13.14, 13.16.
  • Constructions:
    • Bolyai construction
    • Common h-perpendicular
  • Start to think about the second midterm --- skim thru chapters 11--13, prepare at least one question.
• HWA-10, due 11:15, Mon, Oct 30.
  • Read and understand: Chapter 12.
  • Read and think: Chapter 13.
  • Exercises: 12.1, 12.21, 12.24(a), 13.1.
  • Constructions:
    • h-perpendicular;
    • Tangent h-line.
• HWA-09, due 11:15, Mon, Oct 23.
  • Read and understand: Chapter 11.
  • Read and think: Chapter 12.
  • Exercises: 11.3, 11.10, 11.11, 11.13.
  • Constructions:
    • h-center;
    • Equal h-radiuses.
• HWA-08, due 11:15, Mon, Oct 16.
  • Skim thru chapters 2--10.
  • Exercises: 7.19, 8.6, 9.4, 10.20.
  • Constructions:
    • Equal angles (9.20);
    • Parallel line (7.5).

• You can retake the exam until Wed, Oct 25. (A maximum of two scores will be counted.) Reserve 60 min in advance; no cheat sheet this time.
• Midterm, Fri Oct 13, in class, 5 problems:
  • 2 theorems from the list (possibly with related definitions):
    2.5, 2.8, 2.13, 3.6, 3.12, 4.1, 4.2, 4.4, 5.2, 5.5, 5.10, 5.15, 5.17, 6.4, 7.1, 7.2, 7.8, 7.9, 7.18, 8.1, 8.3, 8.5, 8.9, 8.13, 8.14, 9.1, 9.2, 9.13, 10.2, 10.6, 10.15, 10.25;
  • 2 problems from HWA 01--07 (possibly with related definitions);
  • 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.
• I will print a cheat sheet for you, it will include the list of axioms, plus you may ask for something else (in advance).
• The office hours shifted to Thu, Oct 12, 17:00--17:50 psu.zoom.us/my/anton.petrunin (this week only).

• HWA-07, due 11:15, Mon, Oct 9.
  • Read and understand: Chapters 10.
  • Exercises: 10.8, 10.13, 10.21.
  • Constructions:
    • Right angles (9.9);
    • Perpendicular circles (10.22).
  • Start to think about midterm exam --- skim thru the covered material, prepare at least one question.
• HWA-06, due 11:15, Mon, Oct 2.
  • Read and understand: Chapters 8 and 9.
  • Read and think: Chapter 10.
  • Exercises: 8.12, 9.6, 9.18, 10.3.
  • Constructions:
    • Perpendicular with ruler (9.11);
    • Inversion (10.5).
  • Extra exercise: 9.7 (Do it only if you have time; it will not be graded).
• HWA-05, due 11:15, Mon, Sep 25.
  • Read and understand: Chapters 6 and 7.
  • Read and think: Chapter 8.
  • Exercises: 5.4, 6.5, 7.10, 7.13.
  • Constructions:
    • Segment trisection (7.11).
    • Tangents to the circle (5.24);
• HWA-04, due 11:15, Mon, Sep 18.
  • Read and understand: Chapters 5 and 6.
  • Read and think: Chapter 7.
  • Exercises: 4.7, 5.3, 5.20, 6.3.
  • Constructions (once you see "Well done", make a screenshot and upload it to CANVAS):
    • Perpendicular (5.22) (if it does not work, do 2.6 in Euclidea);
    • Center of the circle (5.23) (if it does not work, do 1.6 in Euclidea).
• HWA-03, due 11:15, Mon, Sep 11.
  • Read and understand: Chapters 3 and 4.
  • Read and think: Chapter 5.
  • Be aware: You will need JKD8 for the next HWA.
  • Exercises: 3.11, 3.13, 3.15, 4.3, 4.8 (Scan to pdf and upload to CANVAS.)
• HWA-02, due 11:15, Fri, Sep 1.
  • Read and understand: Chapter 2.
  • Read and think: Chapter 3.
  • If it is not yet done, do the first part of HWA-01 (install JKD8 and do the test construction).
  • Exercises: 1.3(a), 1.15, 2.6. 2.12, 2.14 (Scan to pdf and upload to CANVAS.)
• HWA-01, due 11:15, Fri, Aug 25.
  • Read and understand: Chapter 1.
  • Read and think: Chapter 2.
  • Make sure you can run Java applets on your computer --- follow the instructions, do the test construction, get to "Well done", make a screenshot, and upload it to CANVAS.
  • Exercises: 1.2, 1.4, 1.10, 1.13, 1.14(a) (Scan to pdf and upload to CANVAS.)