The Classical Geometries

Instructor: Vera Serganova
Email address: serganov@math
  • webpage:/~serganov
  • Phone Number: 642-2150
  • Office hours: M 12:30-1:30, Th 3:00-4:00 in 709 Evans
  • Text: Robin Hartshorne, Geometry: Euclid and beyond, Euclid, The Elements, Books I-IX.
  • 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, September 26 and on Friday, October 24. Final Exam is on MONDAY, DECEMBER 15, 2014 1130-230P 242 Hearst gym
  • Dead week office hours: Thursday December 11, 3-4PM, Friday December 12, 12-2PM.
  • Grading policy: Your grade will be computed according to the following rule: 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)
    • After this if time permits some of the topics
  • Geometry over Fields (Chapter 3)
  • Segment Arithmetic(Chapter 4)
  • Construction Problems and Field Extensions (Chapter 6)

    • Homework assignment

  • (Due 9/12) Sections 1.1-1.3. Euclid : Book I, Propositions 1- 34, Book III, Propositions 1-34. Problems: 1.5, 1.9, 1.13, 2.5, 2.7, 2.12, 2.17, 2.22.
  • Solutions
  • (Due 9/19) Sections 1.4,1.5. Euclid : Books II, III, IV. Problems: 3.4, 3.5, 3.10, 4.7, 5.13.
  • Solutions
  • (Due 9/26) Chapter 1. Problems: 5.1, 5.2, 5.15, 5.18.
  • (Due 10/3) Section 6. Problems: 6.1, 6.4, 6.5, 6.7.
  • Solutions
  • Solutions
  • (Due 10/10) Section 7. Problems: 7.2, 7.5, 7.7 (b), 7.9, 7.10, 7.11.
  • Solutions
  • (Due 10/17) Sections 8,9. Problems: 8.3, 8.7, 8.8, 8.9, 9.1, 9.2.
    • Solutions
  • (Due 10/24) Sections 10,11. Problems: 10.5, 10.8, 10.10, 10.11, 11.1, 11.2.
    • Solutions
  • (Due 11/7) Sections 13,14,15. Problems: 13.8, 13.20, 14.2, 14.5, 14.6, 15.1, 15.2.
    • Solutions
  • (Due 11/14) Sections 16,17,18. Problems: 16.9, 17.2, 17.3, 17.11, 17.12, 18.1.
    • Solutions
  • (Due 11/21) Sections 34, 35. Problems: 34.3, 34.5, 34.12, 34.21, 35.1, 35.3, 35.4.
    • Solutions
  • (Due 12/5) Sections 37, 39. Problems: 37.2, 37.11, 37.14, 39.3, 39.4, 39.6, 39.8, 39.9
    • Solutions
  • Sample midterm
  • Sample midterm 2
  • Sample final 1
  • Sample final 2