Date
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WORK DUE at the beginning of class
unless otherwise noted! All dates are subject to change.
Proof-Writing Rubric
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| 12 Dec - Mon |
Final Project Presentations
from 12-2:30 [Prepare to present your project in a 10-15 minute block as
people make their way around to you]
Compactness: Larry Auman and Matthew Owen
Connectedness and Disconnectedness: Brandon Bell and Wednesday Kehler
Continuous Functions and Homeomorphisms: Hannah Everhart and Matt Tysinger
Metric Spaces and Topological Spaces: Shelby Barrier and Kristen Morrison
Open Sets, Closed Sets, and Limit Points: Ashley Cheek and LaNee' Timmons
Product Spaces and Quotient Spaces: Ryan Belt and Shawn Waldon
Peer review questions
1) Name of the person and the topic.
2) List a few strengths of the project.
3) Provide suggestions for improvement, including any content you would
have added to the review.
4) Invent a question about the project. List the
question and the person's answer.
5) What you learned about the mathematical connections
LaTeX Sample of a Timeline
Image 1 for Sample
Image 2 for Sample
Image 3 for Sample
Image 4 for Sample
PDF Sample of a Timeline
LaTeX Template for the Review and Annotated
Bibliography
Image 1 for Template
PDF of Template
Some standard topology
and set theory symbols in LaTeX
LaTeX Mathematical Symbols
Dr. Bauldry's
An
Incredibly Brief Introduction to Latex
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________________________________________________________________________
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________________________________________________________________________
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| 8 Dec - Thur |
Test 3 study guide
Note that the clicker questions from class on Tuesday are up on ASULearn
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| 6 Dec - Tues |
Continue working on the final project.
Begin to create some portions of the review and the timeline.
Bring in a draft of a beginning of both of these as well as
your present bibliography.
LaTeX Sample of a Timeline
Image 1 for Sample
Image 2 for Sample
Image 3 for Sample
Image 4 for Sample
PDF Sample of a Timeline
LaTeX Template for the Review and Annotated
Bibliography
Image 1 for Template
PDF of Template
Some standard topology
and set theory symbols in LaTeX
LaTeX Mathematical Symbols
Dr. Bauldry's
An
Incredibly Brief Introduction to Latex
Begin studying for test 3 via the study guide
and write down any questions
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| 1 Dec - Thur |
Exercises on Compactness
Test 2 revisions are due - turn in your original test too
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| 29 Nov - Tues |
Continue working on the final project - download the following 5
files and LaTeX them:
LaTeX Sample of a Timeline
Image 1 for Sample
Image 2 for Sample
Image 3 for Sample
Image 4 for Sample
Next download the following 2 files and LaTeX them:
LaTeX Template for the Review and Annotated
Bibliography
Image 1 for Template
Continue working on the exercises on compactness
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| 22 Nov - Tues |
Begin working on the exercises on compactness.
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| 17 Nov - Thur |
Test 2 study guide
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| 10 Nov - Thur |
Exercises on Homeomorphisms and
Connectedness.
Take a look at the study guide under next week's test date. Note
we will cover new material on Tuesday.
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| 3 Nov - Thur |
Begin working on
Exercises on Homeomorphisms and Connectedness
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| 1 Nov - Tues |
Review material
Continue working on the final project
Read about the Zariski topology from the
last exercise set, including the last paragraph.
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| 27 Oct - Thur |
Exercises on Closed, Continuity, and
Hausdorff
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| 25 Oct - Tues |
Review continuity notes and bring your i-clicker to class
Continue working on homework for Thursday.
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| 20 Oct - Thur |
Begin working on the exercises for next week.
If you did not complete Tuesday's homework, be sure that you do so.
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| 18 Oct - Tues |
Search for references related to the history of your final project topic [approved first-come, first-served
as a message on ASULearn by clicking on Participants/My Name/Send Message]
in the library and the web, including:
Handbook of the history of general topology by Charles E. Aull, R. Lowen, 1997 QA611.A3 H36 1997 (multivolume works)
Look through these to check for history of your topic, and look at the nearby books too.
Also search the print copies of the Historia Mathematica journals (Bound: v.3(1976)-v.31(2004) (Lower Mezzanine))
Message me on ASULearn what you find.
Correct your test mistakes - be prepared to turn this in and/or to
present this orally if called upon.
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| 11 Oct - Tues |
On a double-sided sheet of paper to turn in, write up a review containing all of the topology definitions, examples, and statements of results that we covered in class. Short-hand abbreviations, keywords, pictures, creative ways of conveying the ideas are fine as long as you understand them.
Work on choosing a topic for the final project [first-come, first-served
as a message on ASULearn by clicking on Participants/My Name/Send Message]
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| 6 Oct - Thur |
Read through the final project and
write down any questions
Review the concepts of closed and continuity
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| 4 Oct - Tues |
Test 1 study guide. Dr. Searcy will proctor
the test, but she won't be able to answer any questions.
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| 27 Sep - Tues |
Look at the study guide for test 1 and write down any questions
Each person in the class will choose a different proof from class or the previous exercise sets - message me your choice on ASULearn to obtain approval and I will list them here. In LaTeX, type up your proof. Turn in your source code as well as your compiled version, which must distinguish your proof as your own. The purpose of this assignment is to revisit some of the previous proofs in order to improve them and your understanding of them, and also to try
LaTeX.
Blank Proof LaTeX Template
Some standard topology
and set theory symbols in LaTeX
Sample LaTeX Proof: The square metric
equals the Euclidean metric on R2.
LaTeX Mathematical Symbols
Dr. Bauldry's
An
Incredibly Brief Introduction to Latex
Wednesday Kehler: A subset B and B subset C implies A subset C
from class.
Hannah Everhart: Mendelson p. 6 #1a from Set Theory Exercises 2
Brandon Bell: Mendelson p. 6 #1b from Set Theory Exercises 2
Matt Tysinger: Prove an open interval is open from class
Shelby Barrier: Prove that the union of
(1/n,1-1/n) is (0,1) from class on 8/30.
Ashley Cheek: Problem 1 on SAS from Metric Space Exercises
LaNee Timmons: Problem 3 on an isometry from Metric Space Exercises
Kristen Morrison: U open in R is the union of open intervals from class
Shawn Waldon: Problem 2 on discrete topology (Mendelson p. 75 #6)
from Topology Space Exercises
Ryan Belt: Problem 4 on
sets open in the standard topology are open in the lower limit topology
from Topology Space Exercises
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| 22 Sep - Thur |
Topology exercises
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| 20 Sep - Tues |
Read Dr. Bauldry's
An
Incredibly Brief Introduction to Latex and write down any questions
Continue working on the topology exercises.
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| 15 Sep - Thur |
Read both books for information on how they introduce a topology.
What is similar and different about
the sections of the book that introduce a topology?
Work on the topology exercises due next week.
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| 13 Sep - Tues |
Review proofs, definitions and examples for some clicker questions.
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| 8 Sep - Thur |
Metric Space Exercises
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| 6 Sep - Tues |
Begin working on Metric Space Exercises
which are due on Thursday [Note: I have reordered the problem #s on
Thursday 9/1: you can work on problem 1, 2 and 3 - we will
cover the content for problem 4 on Tuesday]
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| 1 Sep - Thur |
Search for information on metric spaces in both books. Prepare to
share what you read about, including related definitions and theorems
(but not the proofs).
In addition, reflect on the similarities and differences.
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| 30 Aug - Tues |
Read p. 12-20 in Munkres and p. 7-14 in Mendelson. Take notes and
write down any questions.
If you have your notes from MAT 2110 or 2510, then review the set
theory material from there. Summarize what was covered and be prepared to
share it.
Read through the
Proof-Writing Rubric which is what I
use in grading proofs
Set Theory Exercises 2
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| 25 Aug - Thur |
Read through the Syllabus
which is online - search google for
Dr. Sarah, click on my page, and click on the MAT 4710/5710 link and then the
Syllabus link. Message me any questions on ASULearn -
- the university considers this a binding contract.
Read p. 4-11 in Munkres and p. 1-6 in Mendelson. Take notes and
write down any questions.
Set Theory Exercises 1
Bring both books and the i-clicker to class
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