The Classical Geometries

Instructor: Vera Serganova
Email address: serganov@math
  • webpage:/~serganov
  • Phone Number: 642-2150
  • Office hours: M 11:30-12:30, Th 1:00-2:30 in 709 Evans
  • Text: Robin Hartshorne, Geometry: Euclid and beyond.
  • Homework: Each Friday a problem assignment (from the textbook)will be posted. The homework will be collected the next Friday. Late homework will not be accepted.
  • Exams: There will be two midterms on Friday, February 27 and on Friday, April 10 during usual class hours.
  • Final Exam is on Saturday, May 16, 8-11.
  • Grading policy: Your grade will be computed according to the following proportions: 20% for your homework, 20% for each midterm and 40% for the final.
  • Course outline
  • Euclid's Geometry (Chapter 1)
  • Hilbert's axioms (Chapter 2)
  • Non-Euclidean Geometry (Chapter 7)
  • Geometry over Fields (Chapter 3)
  • Segment Arithmetic(Chapter 4)
  • Construction Problems and Field Extensions (Chapter 6) (if time permits)

    • Homework assignment

  • Week 1 (Due 1/30) Sections 1.1,1.2. Problems: 1.5, 1.6, 1.9, 1.13, 2.5, 2.7, 2.12, 2.17, 2.22.
  • Week 2 (Due 2/11) Sections 1.1-1.3. Problems: 1.14, 1.15 (hard!), 2.8, 2.24, 3.4, 3.5, 3.6, 3.7, 3.8, 3.10.
  • Week 3 (Due 2/20) Sections 4,5,6. Problems: 4.7, 5.3, 5.14, 5.18, 5.19, 5.21, 6.1, 6.3, 6.10.
  • Week 4 (Due 3/6) Section 7. Problems: 7.1, 7.2, 7.5, 7.8, 7.9, 7.10, 7.11, 7.12.
  • Week 5 (Due 3/13) Sections 8,9. Problems: 8.2, 8.5, 8.7, 8.8, 8.9, 9.1, 9.2, 9.4.
  • Week 6 (Due 3/20) Sections 10,11. Problems: 10.4, 10.5, 10.9, 10.11, 11.1a, 11.2, 11.5, 11.6.
  • Week 7 (Due 4/3) Sections 14,15,16,17. Problems: 14.1, 14.2, 16.6, 17.3, 17.4, 17.5, 17.10, 17.11, 17.12.
  • Week 8 (Due 4/17) Sections 37,38. Problems: 37.2, 37.3, 37.4, 37.6, 37.13, 37.14, 37.18, 38.6.
  • Week 9 (Due 4/24) Sections 39,34,35. Problems: 39.3, 39.5, 39.6, 34.2, 34.5, 35.1, 35.3, 35.4, 35.6.
  • Week 10 (Due 5/1) Sections 34,35,49. Problems: 39.9, 34.12, 35.8, 40.1, 40.3, 40.4, 40.5, 40.6.
  • Week 11 (Due 5/11) Sections 28,29,32. Problems: 32.8, 28.4, 16.10, 28.8, 28.11, 29.2, 29.5.
  • Office hours for final exam Thursday 1-2:30, Friday 4-6.
  • Sample Midterm
  • Sample Midterm #2
  • Sample Final