Announcements
Posted 4/20 Topics for report and presentations posted. See
below. Please choose topic latest by April 24th. Reports now due by
5/13.
Posted 4/15
Take home Midterm is posted below. It is due by 11:59 pm today (April 15th) by email.
Posted 4/6 (updated 4/14)
Midterm is rescheduled to Wed April 15th. Midterm will consist a take home part. We will have a short review on Monday April 13. A review sheet will be put up today.
Posted 3/25: The "takeaway" from the
Chancellor's Recalibration message (March 24, 2020)
- No online classes starting Friday, March 27th through Wednesday, April 1st.
- Online classes resume April 2.
- No online classes during the shortened Spring Recess beginning Wednesday, April 8 through Friday, April 10.
See updated schedule below.
Posted 3/16: The class henceforth will be held online on Blackboard using Collaborate and other tools. Please log into your Blackboard accounts for further announcements and information about the class.
Blackboard
Posted 3/16: Office hours will also be held on Blackboard using Collaborate and Discussion boards. Please check your blackboard accounts.
Posted 3/16: The schedule below is being revised and the Midterm Exam
has been postponed to Tuesday April 7th.
Information Topology is a major branch
of modern mathematics and is often described as rubber sheet
geometry. In geometry objects are rigid with fixed distances and
angles, however in topology objects can be deformed as if made out
of rubber. Thus objects are allowed to be bent, stretched or shrunk
but not allowed to be ripped apart or cut. For example, in topology
a coffee mug and a doughnut are the same! In this course we will
develop the mathematical framework to understand the above ideas and
study properties which do not change under topological deformations,
and applications.
Course goals & description The goal of this course is to
introduce students to topology, which is a major branch of modern
mathematics. This course will cover basic point set topology,
continuity, compactness, connectedness, quotient topology, surfaces,
Euler characteristic and classification of surfaces. We will also
discuss several applications of Topology. Another goal is to develop
skills to write concise, complete proofs. See
Course Outline & HW.
Prerequisites: MTH 233 and MTH 339 or MTH 341
Text Book The text book for this course is
A First Course in Topology by
John McCleary published by AMS (ISBN:0-8218-3884-9). Check prices
at
AddALL. We will cover topics from Chapters 1,2,3,4,5,6
from the text book. I will provide notes or handouts for the material
outside the textbook. See
Course Outline & HW.
The following are also good reference books:
Grading The course grade will be determined on basis of homeworks,
midterm, final, report and presentation. It will be determined as follows:
20% Homework + 30% Midterm + 30% Final + 20 % Report & Presentation .
Homework & Quizzes Homework will be announced in class and
on this page. Homework will be assigned and collected on a regular
basis. I highly recommend working jointly on homework problems with
fellow students, but in the end you must hand in your own work. We
may have some quizzes if required.
Course Outline & HW
Exams & Reports There will be
one midterm exam , a
Final exam , a
written report and a
presentation
on an assigned topic.
Important Dates:
- Midterm Exam:
Tuesday April 7th Wed April 15th
- Report Due date: Wed May 6th
- Presentations: Mon May 11th
- Final Exam: Mon May 18th, Review: Wed May 13th
Method of Study Attend class. Read the textbook and other
sources. Do the homework. Discuss with other students. Discuss with
me. Use my office hours or email me to ask questions.
Help: Email is the best way to contact me. Use the office
hours posted above.
Attendance is mandatory. Cell phone usage of any kind during class
is not allowed. Academic dishonesty and cheating will not be
tolerated. Please see
CUNY's Academic Integrity Policy .
