MTH 427/527 Introduction to Topology I

Class times

Lectures: Tue Th 11:00-12:20 Math Building 150
Recitations: Tue 8:00-8:50 Math Building 122

Instructor

Bernard Badzioch
Office: 108 Mathematics Building
E-mail: badzioch@buffalo.edu
Office Hours: Tue 4:00-6:00

TA

Hakan Doga
Office: 126 Mathematics Building
E-mail: hakandog@buffalo.edu
Office Hours: TBA

Prerequisites

This is an abstract, proof based course. I will assume that you have experience with mathematical proofs and you know how to read and write them. All homework and exam problems will ask you to prove various statements on your own. The main technical prerequisites come from calculus: you should be comfortable with the notions of a continuous function (of one and several real variables) and a limit of a sequence of real numbers. Prior knowledge of operations on sets (union, intersection, difference, product) will be helpful, but I will review this at the beginning of the course.

Textbook

I will be following lecture notes that will be posted here. If you would like to use a published text as a supplement, a popular and good textbook is Topology by J.R. Munkres. There are many other good options. You can check with me if you would like to use some other book.

Homework

Homework problems will be assigned on Thursdays and will be due on Thursday the following week. Students registered for MTH 527 are required to submit homework solutions typeset in LaTeX. Students registered for MTH 427 are encouraged to use LaTeX as well: this is the standard tool for preparing mathematical and other technical texts and it is good to get acquainted with it.

You can collaborate on homework problems, but you must write solutions entirely on your own, not copy them. Do not search for solutions on the web, in textbooks etc. - this defeats the purpose of homework which is to let you practice your own problem solving skills.

Exams

There will be two in-class midterm exams:

• Midterm 1: Thursday, October 4
• Midterm 2: Thursday, November 8

A cumulative final exam will be given on Tuesday, December 11 at 11:45-2:45 in Math Building 150, our regular classroom.

Grading

• Homework: 30%
• Midterm 1: 20%
• Midterm 2: 20%
• Final Exam: 30%

In addition you can earn up to 10% extra credit for class participation. Class participation will be evaluated based on your answers to questions I ask in class, questions you ask me etc.

Incomplete Grades

See the UB Catalog for the UB Incomplete Policy.

Academic Integrity

See the UB Catalog for the UB Academic Integrity Policy.

Accessibility Resources

If you need accommodations due to a physical or learning disability please contact the UB Accessibility Resources Office to make appropriate arrangements.