Math 4060
Foundations of Geometry
Spring 2012
T,TR 3:30-4:50
Matthews 102
Instructor: John Krueger
Office: 408 GAB
Office hours: Monday 2-4, Wednesday 3-5
Syllabus
Reading
Weeks 1, 2: Euclid, Book 1 Propositions 1-34. Hartshorne Sections 1, 2, 3.
Week 3: Euclid, Book 1 Propositions 35-48.
Week 4: Euclid, Book 2.
Weeks 5,6: Euclid, Book 3.
Week 8: Euclid, Book 4.
Week 9: Hartshorne, Sections 6,7.
Weeks 10,11: Hartshorne, Sections 8,9,10.
Weeks 13,14: Hartshorne, Sections 11,12.
Homework Assignments
Homework 1, due Tuesday, February 7:
Hartshorne, Problems 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.10.
Homework 2, due Tuesday, February 14:
Hartshorne, Problems 2.1, 2.2, 2.3, 2.4, 2.5, 2.6,
3.3, 3.4, 3.5, 3.7
Homework 3, due Thursday, February 23:
Hartshorne, Problems 1.12, 1.13, 1.14, 1.15,
2.7, 2.8, 2.9, 2.10, 2.11, 2.12
Homework 4, due Thursday, March 15.
Homework 5, due Thursday, March 29:
Hartshorne, Problems 7.1, 7.2, 7.3, 7.4, 7.6, 7.7,
7.8, 7.9, 7.10.
Homework 6, due Thursday, April 12.
Homework 7, due Thursday, May 3:
Hartshorne, Problems 10.2, 10.3, 10.4, 10.7, 11.1, 11.2, 11.4, 11.5.
Also prove that if circles meet in two points, then one cuts the other.
Solutions
Homework 1
Homework 2
Homework 3
Homework 4
Homework 5
Homework 6
Homework 7
Other
Review for Exam 1
Exam 1 Solutions
Review for Exam 2
Exam 2 Solutions
Final Exam Review