Math 5-335     Fall 2002
Course Syllabus

Math 5335 (Geometry I)
TuTh 1:25 to 3:20 p.m.
1701 University Ave. SE, room 143

Instructor: Professor Joel Roberts

• Vincent 351
• 625-1076
• e-mail: roberts@math.umn.edu
• URL: http://www.math.umn.edu/~roberts
• Office hours
  • MW 12:25 to 2:15 p.m.
  • Tuesday 3:30 to 4:30 p.m.
  • Thursday 10:30 a.m. to 12:30 p.m.
    Also, if the established hours don't fit your schedule, please get in touch with me
    (625-1076 or roberts@math.umn.edu) to arrange a more convenient time.

Text: Geometry I [Fall 2002 version], by B. Fristedt available at Alpha Print, 1407 4th St. SE in Dinkytown, 379-8535

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:

1. Vector geometry, congruence, and isometries   [Chapters 1 and 2]
2. Triangles and other plane figures   [Chapters 3 and 4]
3. Classifying isometries and conformal maps of the plane   [Chapters 5 and 6]
4. The axioms of plane geometry   [Chapter 7]
5. Introduction to hyperbolic geometry   [Chapters 8 and selected 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, while various vector algebra topics and material about tangent lines of curves, the angle between two curves, etc. constitute the most important material from Math 2263/2374. In addition, multivariable integration occasionally will be used in considerations about area. 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 Tuesdays [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:
  1. Thursday, October 3  
  2. Thursday, November 14 
      
• Final exam:    (updated information)
   
       Thursday, December 19
       10:30 a.m. to 12:30 p.m.
       AkerH 309    Please note change of room
   

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 homeworkwill 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.
   

Comments and questions to:  roberts@math.umn.edu

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