Math 5-335 Fall 2003
Course Syllabus
Math 5335 (Geometry I)
TuTh 1:25 to 3:20 p.m.
Vincent Hall, room 1
Instructor: Professor Joel Roberts
- Vincent 351
- 612-625-1076
- e-mail:
roberts@math.umn.edu
- URL:
http://www.math.umn.edu/~roberts
- Office hours
- Tuesday 3:30 to 4:30 p.m.
- Wednesday 12:25 to 2:15 p.m.
- Thursday 10:10 a.m. to 12:05 p.m.
Alternatively, if the established hours don't fit your schedule,
please get in touch with me:
(612-625-1076 or
roberts@math.umn.edu) to arrange a more convenient time.
Text:
- Geometry I,
by B. Fristedt.
(available at Alpha Print, 1407 4th St. SE in Dinkytown, 612-379-8535).
- Online text supplements
Class webpage:
http://www.math.umn.edu/~roberts/math5335/
Check this page regularly for important information about the class.
It will be updated frequently.
Subject matter:
- Vector geometry, congruence, and isometries [Chapters 1 and 2]
- Triangles and other plane figures [Chapters 3 and 4]
- Classifying isometries, and a brief study of conformal mappings
[Chapter 5 and part of Chapter 6]
- The axioms of plane geometry [Chapter 7]
- Introduction to hyperbolic geometry
[Chapters 8 and selected parts of later chapters]
Prerequisite:
- Math 2243 or Math 2373 or equiv. (Linear algebra and diff equations)
- Math 2263 or Math 2374 or equiv. (Multivariable calculus)
- Comment: For our purposes, the linear algebra topics
are the most important material from Math 2243/2373.
The most important
material from Math 2263/2374 includes:
- various vector algebra topics, and
- material about tangent lines of curves [particularly curves given
in parametric form], the angle between two curves, etc.
To a somewhat lesser extent:
- multivariable integration will be used in considerations about
area -- mainly in hyperbolic geometry.
Some material from single-variable calculus will be used when we discuss
lengths of curves.
Required work and expectations:
- Workload: Since this is a 4 credit class, you should on plan on
spending about 8 hours per week outside of class on work related to the
course. This can include a first reading of the week's material
before it is discussed in class -- in fact, that activity is
highly recommended.
- Homework assignments:
Weekly assignments, due at the beginning of class on Thursdays
-- but homework won't be collected (a) during the first week of class
and (b) during weeks when we have a test]
- Two midterm tests. Tentative dates:
- Thursday, October 2
- Thursday, November 13
- Final exam:
Friday, December 19
10:30 a.m. to 12:30 p.m.
Grading policies
- The midterm tests will count for 40% of the grade.
- The final exam will count for 30% of the grade.
- Homework will count for 30% of the grade.
Other policies:
- Late homework will be accepted until one week
meeting after the due date, but usually will notbe accepted
after that time. We will likely, however, drop 1 or 2 missing assignments
or else the 1 or 2 lowest homework assignment grades from the grade calculation.
- Exams must be taken on the scheduled date except for serious
emergencies, for example illness that requires medical attention.
If you anticipate some other type of schedule conflict on the date of
an exam, please check with me well in advance.
- An Incomplete is given only when most of the required work for the
course has been completed with passing grades and there is a reasonable
expectation that the missing work can be made up.
The schedule of reading and homework
is linked here.
Comments and questions to:
roberts@math.umn.edu
Back to to the class homepage.