Math 5336 Syllabus

Math 5336 Spring 2004
Course Syllabus

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

Instructor: Professor Joel Roberts

Vincent 351
625-1076
e-mail: roberts@math.umn.edu
URL:http://www.math.umn.edu/~roberts
Office hours
- W 12:25 to 2:15 p.m.
- TuTh 10:30 a.m. to 12:00 noon
- Right after class, whenever needed
  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 II [Spring 2004 version], by B. Fristedt available at Alpha Print, 1407 4th St. SE in Dinkytown, 379-8535
(Available beginning sometime during the week of January 12)
Online text supplements (including known misprints) also will be made available.

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:

n-dimensional Euclidean geometry via linear algebra

Isometries in 3-dimensions

Some important shapes (spheres; parallelotopes; cones and quadratic equations)

Spherical geometry (2-dimensional case only)

Real projective geometry and field based projective geometry

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

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:
1. Thursday, February 19
2. Tuesday, April 6
  Postponed to Tuesday, April 13
Final exam:    Thursday, May 13
                       10:30 a.m. to 12:30 p.m.
                       Vincent 301
Note: The final probably won't be cumulative.

Grading policies

Each midterm test will count for 25% of the grade.
The final exam will count for 25% of the grade.
Homework will count for 25% 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.

Approximate schedule of reading and homework

Specific problems are listed below; .

Week of:	HW assignment	due date	new reading
Jan 20	---	---	§§ 1.1 through 1.3
Jan 26	§1.8 ##5, 10, 13, 20, 22, 25 Note: ##7, 9, 14, 16, 26 will be worked in class	Thursday, January 29	§§ 1.4 through 1.6
Feb 2	§1.8 ##36, 38, 39, 48, 52 Note: ##34, 41, 50 will be worked in class	Thursday, February 5	§1.7 Chapter 2 §§3.1, 3.2
Feb 9	§1.8 ##67,74 Note: #68 will be worked in class §2.3 ##4, 9, 10, 17, 19 Note: #3, part of #7, and #18 will be worked in class	Thursday, February 12	§§3.3, 3.4
Feb 16	- - -	Review on Tuesday 2/17 Midterm #1 on Thursday 2/19	---
Feb 23	§3.11 ##5, 7, 8, 11	Thursday, February 26	§§3.4, 3.5, 3.7
Mar 1	§3.11 ##15, 23, 24, 25, 27	Thursday, March 4	§§3.8, 3.9, 3.10 §7.1
Mar 8	§3.11 ##30, 35 (solution to be linked)	Thursday, March 11	§§7.2, 7.3, 7.4
Mar 15	- - -	Spring break week; No class	---
Mar 22	§7.5 ##3, 7, 8, 9, 10	Thursday, March 25	§7.5
Mar 29	§7.5 ##15, 17, 19, 20, 22	Thursday, April 1 Postponed to Tues, Apr 6	- - -
Apr 5	- - -	Midterm #2 on Tuesday 4/6 Postponed to Tues, Apr 13	§8.1
Apr 12	- - -	- - -	§§8.2, 8.3
Apr 19	§8.8 ##2, 3, 6, 7, 8	Thursday, April 22	§§8.4, 8.5, 8.6
Apr 26	§8.8 ##11, 12, 13, 14	Thursday, April 29	§8.7
May 3	§8.8 #15, parts (i), (iii), (v), ##16, 18, 19	Thursday, May 6	To Be Announced
May 10	Finals week	Final exam: Thursday, May 13 10:30 a.m. to 12:30 p.m. Vincent 301	---

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

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