Topology I, 550A, Spring 2005

Dr. Florence Newberger

Office: FO3-218
Office Phone:  (562) 985-5675
email:  fnewberg@csulb.edu
web site:  http://www.csulb.edu/~fnewberg		  

Page Contents:
Meeting Times  |  Description  | Goals  |  Text  |  Assignments  |  Tentative Schedule  |  Exams  |  Grades

Assignments
Sections 1-6, due February 1                            
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Section 1-6 Tips and Remarks
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Sections 7, 12 and 13, due February 8
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Section 7, 12 and 13, Tips and Remarks
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Sections 14, 15, 16, due February 17
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Sections 14, 15, 16, Tips and Remarks
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Section 17, due February 24
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Sections 17 Tips and Remarks
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Sections 17 and 18, due March 10
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Sections 17 and 18 Tips and Remarks
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Exam 1 Review Sheet
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Section 20 and 21, due March 17
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Section 20 and 21 Tips and Remarks
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Section 23 and 24, due March 29
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Section 26
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Exam 2 Review Sheet
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Exam 2 Solutions
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Sections 19 and 30, due April 21
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Sections 31, due April 28
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Sections 32, due May 5 and 12
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Final Exam Review Sheet
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Meeting Times
MATH 550A Section 01 meets T-Th 5:30-6:45 in LA5-169.

Office hours (held in my office:  FO3-218): 

Tuesdays and Thursdays 3:15-4 and 4:30-5:30

Feel free to stop by, email or call to schedule an appointment or ask a question!
Description: Topics:  Fundamentals of point-set topology: metric spaces and topological spaces; bases and neighborhoods; continuous functions; subspaces; product spaces; separation properties; countability properties; compactness, connectedness; convergence of subsequences, nets and filters.  Prerequisites: MATH 361B
Goals: 

This course will introduce students to the language of point set topology and facilitate students' learning of advanced mathemamtics through writing and revising solutions to exercises in topology.

Texts (required):
Topology, Second Edition, James Munkres, Prentice Hall 2000

Assignments:
Expect weekly homework, consisting of reading, writing and exercises.
Homework:  The homework assignments will be graded subject to the following rules:
  • Problems within an assignment will be graded indepedently, as marked in the assingment.  (If you only did part of it on time, turn in that part.)
  • A problem completed correctly and on time will receive 100% of the points.
  • A problem completed correctly and up to one week late will receive 80% of the points. (I really want you to do the homework!!)
  • An incorrect problem (one which is either mathematically wrong or written poorly) will receive partial credit and may be corrected and resubmitted within a week from when it is returned for up to 80% of the points. (In fact, I really want you to do the homework correctly!! Even if you need help or more time.)

Tentative schedule of topics:

Date Week Topic
 Sections
Jan 25,27 1 Topological
Spaces
 Intro + Sections 12, 13
Feb 1,3 2 Sections 14, 15
Feb 8,10 3 Sections 15, 16
Feb 15,17 4 Sections 17
Feb 22, 24 5 Sections 17, 18
March 1 6
 Exam 1
March  3
 Metric spaces.
Connectedness
and
Compactness
 Section  20
March 8,10
 7
 Section 20, 21
March 15,17
 8 Section 23,24
March 21-25  Spring Break
March 29 9 Connectedness
and
Compactness
 Section  26
March 31 Caesar Chavez Holiday
April 5,7 10 Section 26, 27, 28
April 12 11 Exam 2
April 14
 Countability
and
Separation: 
Urysohn Lemma
 Section 30
April 19,21
Section 31, 32
April 26, 28 13 Section 32,33
May 3,5
 14 Section 33,34
May 10,12 15 Tychonoff Theorem
 Section 37


Exams:

I have had good experiences giving take home parts to exams in graduate courses, so it is likely that some of the exams will include parts to be done outside of class.

March 1st
 Midterm 1  
April 12nd
 Midterm 2
TBA
(Verify on CSULB Web site)		 Final Exam (Cumulative)


Grades:

 Distributions.
Homework
40%
Midterm 1 20%
Midterm 2 20%
Final Exam 20%

Policies:  Policies for students with disabilities, make up policies, attendance policy, withdrawal policy and cheating and plagiarism policy: click here!