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Introduction To Topology Pure And Applied Solutions Class
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Introduction To Topology Pure And Applied Solutions

This is the syllabus for Topology Math 366. Here you'll find information on prerequisites, grading policy, homework, study resources, exam dates and a tentative course schedule.

Classroom

Introduction to Topology, pure and applied, by Adams and Franzosa Introduction to Topology, by Mendelson Topology Now!, by Messer and Stra n Counterexamples in Topology, Steen and Seebach Topics: Our main goal will be to cover the basics of point-set topology, which correspond to. Introduction-to-topology-pure-applied-solution-manual 1/1 Downloaded from hsm1.signority.com on December 19, 2020 by guest Kindle File Format Introduction To Topology Pure Applied Solution Manual As recognized, adventure as competently as experience virtually lesson, amusement, as capably as pact can be gotten by just checking out a ebook.

Class will be held, unless otherwise noted, at the following days & times.

Math 366 :: JAMR 3311 :: 2:00 - 2:50 pm :: MWF

Your daily attendance is required. You are expected to come to class daily, to be fully awake, to pay attention to and participate in the class discussion. I will do my part to make class something you look forward to rather than dread.

Prerequisites

You need either:

C or better in MA211 & MA265

Course Webpage

Textbook

The (required) textbook we will use for this course is
Introduction to Topology - Pure and Applied by Adams & Franzosa.

Office Hours

Monday: 2pm - 3pm

Tuesday: 10am - 11am

Wednesday: 8:30pm - 9:30pm

Thursday: 2pm - 3pm

There are 200 possible points which constitute your grade. You may earn them as follows.

Problem Sets - 80 points (40%)

Quizzes - 20 points (10%)

Midterm - 50 points (25%)

Course Summary - 20 points (10%)

Final Paper - 30 points (15%)

Problem Sets

There will be eight problem sets. In most of the problems your will be writing proofs. As in any higher-level mathematics class, your proofs should be written in complete sentences. The goal of the proof should be to explain not to verify. Pictures and diagrams are encouraged. A selection of problems will be graded. If a problem is to be graded, it will be graded as follows.

0 - left blank

Introduction To Topology Pure And Applied Solutions

3 - question copied, nothing else written

4 - something written apart from the question, but it appears to be written only to take up space

6 - substantially incomplete; does not really answer the main question; major errors; poor writing

8 - mostly complete; maybe a few minor errors

9 - complete; no errors; some personal insight; well-written

10 - wonderful

You are welcome to work with your classmates on problem sets but your final writeup must be your own. Do not look up solutions to the problem in any written form, including the internet. You are encouraged to ask me questions about the problem sets.

Quizzes will be given frequently. These will be closed book but easy if you read and know the basic definitions and examples.

Midterm

October 18

The midterm examination will be in class during our usual time. The exam will be closed book, closed notes, closed friends and open-brained.

Course Summary

This will consist of a stream-lined summary of our course.

Important definitions

Important theorems

No proofs neccessary

Typesetting in Latex is encouraged but not required. I recommend Overleaf.

Final Paper

You choose the topic. Find sources online, in textbooks or from this list of possible topics

Your goal is to summarize the topic and give details as if you are explaining it to your classmates.

You can work alone or in pairs. Single-author: 4-5 pages. Co-authored: 8-10 pages.

You may talk to anyone about the paper but the writing must be your own.

The writing center may be helpful.

Grades for co-authored papers will adjusted by a 'partner evaluation coefficient'.

Deadline to submit topic: November 1

Deadline to submit annotated bibliography: November 14
(A list of sources (at least two), with descriptions of why you're using them)

Deadline to submit final paper: December 11

The final paper will be worth 30 points (15% of your grade). Grading will be based as follows:

2 points : Submitted paper topic on time

3 points : Submitted annotated bibliogrphy on time

10 points: Paper exposition

15 points: Paper content

Laptops & Phones

Do not use your laptop, phone or electronic media device in class unless instructed to do so.

Three-Dimensional Geometry and Topology - Bill Thurston & Silvio Levy

Topology Now! - Bill Messer & Philip Straffin

Both free and paid tutoring is available, in the tutoring lab on the 2nd floor of Jamrich.

Learning Outcomes

Upon successful completion of this course students will be able to:

Distinguish spaces from one another using homeomorphisms, compactness and connectedness.

Create topological spaces using products, quotients and subspaces.

Apply fundamentals of topology to solve problems.

Evaluation of these learning outcomes will be done through a mix of assignments, class exercises, projects, research papers, group work, written & oral quizzes and exams.

Course Description

We will cover the first 7 chapters of the textbook, and various parts of chapters 8-14.

Chapter 1 :: Topological Spaces :: Week 1 & 2

Chapter 2 :: Interior, Closure, and Boundary :: Weeks 3 & 4

Chapter 3 :: Creating New Topological Spaces :: Weeks 5,6 & 7

Chapter 4 :: Continuous Functions and Homeomorphisms :: Weeks 8 & 9

Chapter 5 :: Metric Spaces :: Weeks 10 & 11

Chapter 6 :: Connectedness :: Weeks 12 & 13

Chapter 7 :: Compactness :: Weeks 12 & 13

Chapters 8-14 :: Research Paper Topics :: Week 14

Natural Sciences Requirement

This course satisfies the Foundation of Natural Sciences/Mathematics requirement. Students who complete this course should be able to demonstrate a basic understanding of mathematical logic; use mathematics to solve scientific or mathematical problems in college classes; express relationships in the symbolic language of mathematics; and appreciate the role of mathematics in analyzing natural phenomena.

University Policies

Academic Honesty: Cheating is not only unethical and pathetic, but is a violation of the Northern Michigan University Student Code and University Policy and grounds for your dismissal from the University.

Discrimination & Harassment: Northern Michigan University does not unlawfully discriminate on the basis of race, color, religion, national origin, gender, age, height, weight, martial status, handicap/disability, sexual orientation or veteran status. If you have a civil rights inquiry, contact the Affirmative Action Office at 906-227-2420.

Americans with Disabilities Act Statement:If you have a need for disability-related accommodations or services, please inform the Coordinator of Disability Services in the Dean of Students Office at 2001 C. B. Hedgcock Building (227-1737 or disserv@nmu.edu). Reasonable and effective accommodations and services will be provided to students if requests are made in a timely manner, with appropriate documentation, in accordance with federal, state, and University guidelines.

Mask Accommodation Certain students may qualify for alternative face-covering accommodations due to

Introduction To Topology Pure And Applied Solutions