Math 5336     Spring 2003
Course Syllabus

Math 5336 (Geometry II)
TuTh 1:25 to 3:20 p.m.
Vincent Hall, room 364

Instructor: Professor Joel Roberts

Text: Geometry II [Spring 2003 version], by B. Fristedt available at Alpha Print, 1407 4th St. SE in Dinkytown, 379-8535
  (Ask for   Bin #35)

Class webpage: http://www.math.umn.edu/~roberts/math5336/
Check this page regularly for important information about the class. It will be updated frequently.

Subject matter. We will cover parts of the first 9 chapters of the text, but we definitely won't try to deal with chapter 10. Some of the main topics are listed below:

  1. n-dimensional Euclidean geometry via linear algebra
  2. Isometries in 3-dimensions
  3. Some important shapes (spheres; parallelotopes; cones and quadratic equations)
  4. Spherical geometry (2-dimensional case only)
  5. Real projective geometry and field based projective geometry

Prerequisite: Math 5335, or an approximate equivalent, or permission of instructor.

Required work and expectations:

Grading policies

Other policies:

Approximate schedule of reading and homework

Specific problems will be listed below;
the list will be updated weekly.
Recent updates:
                Wednesday, April 16
                Tuesday, April 29

 
Week of:   HW assignment   due date   new reading
Jan 21   ---   ---   §§ 1.1 through 1.3
Jan 27   §1.8 ##5, 10, 13, 20, 22, 25
Note: ##7, 9, 14, 16, 26 will be worked in class
  Thursday, January 30   §§ 1.4 through 1.6
Feb 3   §1.8 ##36, 38, 39, 48, 52
Note: ##41, 49 will be worked in class
  Thursday, February 6   §1.7
Chapter 2
§§3.1, 3.2
Feb 10   §1.8 ##67,74
   Note: #68 will be worked in class
§2.3 ##4, 9, 10, 17, 19
  Thursday, February 13   §§3.3, 3.4
Feb 17   - - -   Review on Tues 2/18
Midterm #1 on Thurs 2/20
  ---
Feb 24   §3.11 ##5,7, 8, 11   Thursday, February 27   §§3.4, 3.5, 3.7
Mar 3   §3.11 ##15, 23, 24, 25, 27   Thursday, March 6   §§3.8, 3.9, 3.10
(skip §5.1)
§7.1
Mar 10   §3.11 ##30, 35 (solution )
§7.5 ##3, 7, 8
  Thursday, March 13   §§7.2, 7.3, 7.4
Mar 17   - - -   Spring break week;
No class
  ---
Mar 24   §7.5 ##9, 10, 15, 17   Thursday, March 27   §7.5
Mar 31   §7.5 ##19, 20, 22     Thursday, April 3   - - -
Apr 7   - - -   Midterm #2 on Tuesday 4/8   §8.1
Apr 14   §8.8 ##2, 3, 6, 7, 8   Thursday, April 17   §§8.2, 8.3
Apr 21   (postponed until following week)   - - -   §§8.4, 8.5, 8.6
Apr 28   §8.8 ##11, 12, 13, 14   Thursday, May 1   §8.7
May 5   §8.8 #15, parts (i), (iii), (v),
##16, 18, 19
  Thursday, May 8   To Be Announced
May 12   Finals week   Final exam:   
Thursday, May 15
10:30 a.m. to 12:30 p.m.
  ---


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


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