Introduction To Topology Pure And Applied Solutions Manual
Introduction To Topology Pure And Applied Solutions Pdf

Topology - Math 441: Spring 2013 Syllabus

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Department of Mathematics,College of Staten Island (CUNY)

Introduction To Topology Pure And Applied Solutions Manual

Prof. Ilya Kofman

Office: 1S-209 phone: (718) 982-3615
Email: ikofmanmath.csi.cuny.edu
Website: http://www.math.csi.cuny.edu/~ikofman/

Course Time and Place: Mondays and Wednesdays 2:30pm - 4:25pm in 1S-218

Textbook:Introduction to Topology: Pure and Applied by Colin Adams and Robert Franzosa Available at the University Bookstore oronline. ISBN: 0131-84869-0 ISBN 13: 978-0131-84869-6

Goals: The primary goal of this course is to introduceyou to topology, which is a major branch of modern mathematics. Another goal is to learn how to do research in mathematics, includinghow to write concise but complete proofs, and how to present to otherswhat you have learned.

Homework: Assignments will be announced in class.Incomplete work with good progress will be rewarded. I highlyrecommend working jointly on homework problems with fellow students,but in the end you must hand in your own work.

Grading: The course grade will be determined asfollows: homework and quizzes 20%, two midterm exams 50%, final in-class presentation and written report 30%.

Help: My office hours are on Mondays and Wednesdays 11am - 12:15pm in my office, 1S-209.

How to Study: (1.) Come to class. (2.) Read therelevant sections after class. (3.) Do the homework. Leave timeto think--do not put homework off until it is due! (4.) Compareyour solutions with other students. (5.) Come to office hourswith any questions.

Topic	Reading
Introduction: Euler's theorem for polyhedra	Handout, notes
Sets and functions	Chapter 0
Topological spaces	Chapter 1
Interior, closure, boundary	Chapter 2
Subspace, product and quotient topology	Chapter 3
Continuous functions, homeomorphisms	Chapter 4
Exam 1
Metric spaces	Chapter 5
Connected and path-connected spaces	Chapter 6, and Hatcher's notes, p.21 on cut points, and pp.26-28 on the Cantor set.
Compactness	Chapter 7
Quotient spaces and maps	Handout, notes
Homotopy and degree theory	Chapter 9
Euler characteristic, classification of surfaces	Chapter 14, ZIP proof, online notes
Exam 2
Student presentations

Introduction to Pure and Applied Topology

Instructor: Prof. Ilya Kapovich

Fall 2013 ; MATH 490 Section ITT

MWF 9-9:50am Altgeld Hall 343

https://math.uiuc.edu/~kapovich/490-13/490-13.html

The final exam has been graded and the results have been posted in ScoreReports. The course grades have also been assigned and posted in ScoreReports. One low h/wk score was dropped for each students.
The course components (midterms 18% each, the final 27% and h/wks 19%) have been weighed and rescaled to the course total maximum of 400 points total. The course grade cut-off levels were as follows:
A+: 382 to 400
A: 365
A-: 347
B+: 331
B: 316
B-: 300
C+: 277
C: 254
C-: 230
D+: 210
D: 190
D-: 170

The final exam is available here. The exam is due by 11am on Wednesday, Dec 18. You can either submit the exam to me by e-mail orput it in my mailbox in the math department mailroom, Altgeld Hall room 250. My mailbox is located inside AH room 250, and my mailbox has my name on it. If you are writing your solutions on a print-out of the exam, please use a ONE-SIDED print-out.
The final exam will be cumulative for the course and will cover the following material:
Ch 1.1-1.4, 2.1-2.3, 3.1-3.4, 4.1-4.2, 5.1, 5.3, 6.1-6.4, 7.1-7.3, 9.1-9.2, 9.4-9.6 in the book.
The exam will most likely consist of 10 problems.

The third midterm has been graded and the results have been posted in ScoreReports. Also, solutions to the third midterm exam are available here.

I do not assign formal letter grades for the midterms, but you can approximately interpret your third midterm scores as follows:

A range (includes A+/A/A-): 52-60
B range (includes B+/B/B-): 41-51
C range (includes C+/C/C-): 30-40

The third midterm will cover the following material:Ch 5.1, 5.3, 6.1-6.4, 7.1-7.3 in the book.

The second midterm is available here. This is a take-home exam: it is due in class on Friday, Nov 1. There will be no h/wk due on Fri, Nov 1. The exam covers the following material: Ch 2.3-2.4, 3.1-3.4, 4.1-4.2 from the book.

The second midterm has been graded and the results have been posted in ScoreReports. Also, solutions are available here.
I do not assign formal letter grades for the midterms, but you can approximately interpret your scores as follows:

A range (includes A+/A/A-): 53-60
B range (includes B+/B/B-): 41-53
C range (includes C+/C/C-): 30-40

The first midterm exam has been graded and the results have been posted in ScoreReports. Also, solutions to the first midterm are available here.I do not assign formal letter-grades for the midterms, but you can approximately interpret your scores as follows:

A range (includes A+/A/A-): 70-80
Solutions

B range (includes B+/B/B-): 56-69
Applied

C range (includes C+/C/C-): 40-55

The first midterm exam will take place on Tuesday, Oct 1. This will be a 'take home' exam. It will be posted online on Tuesday afternoon and it will be due in class on Wednesday, Oct 2. The exam will consist of six problems and will cover the following material: Ch 1.1-1.4, 2.1-2.2 from the book. In the week of Sept 30-Oct 4, I will not have office hours on Tuesday, Oct 1 and instead will have office hours on Mon, Sep 30, 2pm-3pm.

Introduction To Topology Pure And Applied Solutions Pdf

About this course:

Topology, which literally means 'the study of position or location', is the study of 'ru