Math 133, Geometry

Winter 2010

Monday, January 4:
Introduction

Wednesday, January 6:
Beginning definitions

Homework: Make a list of at least 4-5 ideas that you think
I’ve assumed without stating in making these definitions. (To be turned in on
Friday)

*Note: I have made one
change to the list of theorems handed out in class: there is an added theorem
(now #2) in section I, shifting the numbers of the rest. The new version is available on iLearn. Please change on your copy!

Friday, January 8:
Postulates and common notions

Monday, January 11:
Theorems I.1-I.4

*I will be asking you to
turn in a list of the members of your group and the time(s) you will be meeting
each week, on Wednesday. Group
presentations will begin on Wednesday, January 20.

Wednesday, January 13:
Theorems I.5-II.1

Friday, January 15:
Activity looking at Euclid’s *Elements*

Monday, January 18: No
class - Martin Luther King Holiday

Wednesday, January 20:
Student presentations begin, II.2-II.4 (start)

*Note: There is a small
change on the theorem list: there is a new III.9, bumping up the numbers for
the rest of the section.

Friday, January 22:
II.4-III.1 (start)

Monday, January 25:
III.1-III.4

Wednesday, January 27:
III.5, III.9

Homework due Friday,
January 29: Turn in proofs of III.7 and III.8 (Solution posted on iLearn)

Friday, January 29:
III.10-III.11

*Note there is now an extra
theorem in section IV which will not need to be proved, but you can use it.

Monday, February 1:
IV.1-IV.3

Wednesday, February 3:
IV.4-IV.5

Homework due Friday,
February 5: Turn in proof of IV.7.

Friday, February 5: IV.6

Monday, February 8: V.1-V.2

Wednesday, February 10:
V.3-V.5

Homework due Friday, February
12: Turn in proofs of V.7 and V.8.

Friday, February 12: V.6,
V.9

Monday, February 15: No
class – President’s Day Holiday

Wednesday, February 17:
V.10-V.11

Homework due Friday,
February 19: Turn in proofs of VI.3 and VI.4.

Friday, February 19: VI.1-VI.2

Monday, February 22:
VI.5-VII.1

Wednesday, February 24:
VII.2-VII.3

Friday, February 26:
Midterm Exam (See iLearn for a practice exam)

Monday, March 1:
Introduction to hyperbolic geometry

Homework due Wednesday,
March 3: Make corrections to midterm exam (note what your mistake was and
correct the problem)

Wednesday, March 3: Hyperbolic
geometry modules

Homework due Friday, March
5: Turn in sheet of questions from hyperbolic geometry modules

Friday, March 5: Intro to
Geometer’s Sketchpad

Monday, March 8: Geometer’s
Sketchpad investigations

Wednesday, March 10:
Transformations on Geometer’s Sketchpad

Homework due Friday, March
12: Turn in answers to questions, conjectures, and proofs from the last three
class days

Friday, March 12: Wrap-up
on Sketchpad conjectures and review

Wednesday March 17: Office
hours 1-3

Thursday, March 18: Final
exam 11:30-2:30

Last updated: 17 March 2010