Fall 2003 : MAT 364 Topology and Geometry

Tuesday and Thursday 12:50-2:10 PHY P117

Contents

Overview of the course material

Course details (grading, homework policies, etc.)

Homework assignments

Overview of the course

From the course catalog: "A broadly based introduction to topology and geometry, the mathematical theories of shape, form, and rigid structure." Topology and Geometry are both huge fields in mathematics with many applications to modern science ranging from particle physics to the structure of DNA.

We will look at a variety of topics in order to convey the beauty and spirit of these subjects. The course will cover:

If time permits we may also discuss some elementary knot theory.

Here are some interesting links which may give you a better idea about the nature of geometry and topology, and how they are used in the real world.

  • What is topology?
  • The Geometry Center
  • Geometry in action

    Course details

  • Your grade will be based on homework (30%), two midterms (15% each), and a final exam (40%).

  • Homework assignments will be posted on Tuesdays and will be due the following Tuesday at the beginning of class. Doing the homework is an essential part of the course. While you are encouraged to discuss the problems with your classmates, you must write up the solutions on your own. Late homework will not be accepted.

  • The first midterm will be in class on Tuesday Oct. 14. The second midterm will be in class on Tuesday Nov. 18.

  • The final exam will take place on Tuesday Dec. 16 from 5:00 to 7:30 in room P117. The exam will be cummulative and will count for 40% of your final grade. Here is a review sheet.

  • Prerequisites: MAT 203 or 205 or AMS 261. Advisory Prerequisite: MAT 319 or 320.

  • My office is MAT 4-103 and my office hours for this course will be Wednesdays 10:30-12. Alternatively, you can email me at ely@math.sunysb.edu to make an appointment.

    Homework assignments

  • Exercise sheet one: postscript, pdf. Due Thursday Sept 18. (Note: The part of question #4 which asks you to show that a closed rectangle is closed will be considered a bonus question.)

    Answers to sheet one: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

  • Exercise sheet two: postscript, pdf. Due Thursday Sept 25.

    Answers to sheet two: 1, 2, 3, 4, 5

  • Exercise sheet three: postscript, pdf. Due Thursday Oct 2.

    Answers to sheet three: 1, 2, 3, 4, 5

  • Exercise sheet four: postscript, pdf. Due Thursday Oct 9.

    Answers to sheet four: 1, 2, 3, 4, 5, 6, 7, 8, 9

  • Answers to Midterm #1: 1, 2, 3, 4, 5, 6.

  • Exercise sheet five: Side one ps, pdf. Side two ps, pdf. Due Thursday Oct 30.

    Answers to sheet five: 1, 2, 3, 4, 5, 6,

  • Exercise sheet six: Side one ps, pdf. Side two ps, pdf. Due Thursday Nov 6.

    Answers to sheet six: 1, 2, 3

  • Exercise sheet seven: Side one ps, pdf. Side two ps, pdf. Due Thursday Nov 13.

    Answers to sheet seven: 1, 2, 3, 4, 5

  • Exercise sheet eight: Side one ps, pdf. Side two ps, pdf. Due Thursday Dec 11.

    Answers to sheet eight: 1, 2, 3, 4, 5, 6, 7

    Americans with Disabilities Act

    If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.

    Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site.

    http://www.ehs.stonybrook.edu/fire/disabilities.asp

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    This page last modified by Ely Kerman
    Monday, 8-Sept-2003 13:12:53 EST
    Email corrections and comments to ely@math.sunysb.edu