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.
Introduction 0.1. What is Topology and How is it Applied? A Glimpse at the History 0.3. Sets and Operations on Them 0.4. Euclidean Space 0.5. Topological Spaces 1.1. Open Sets and the Definition of a Topology 1.2. Basis for a Topology 1.3. Closed Sets 1.4. Examples of Topologies in Applications 2. 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.
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- Download File PDF Introduction To Topology Pure Applied Solution Manual topology, first presenting the essentials oftopology followed by its emerging role within the new frontiers inresearch. Filling a gap between the teaching of topology and its modernuses in real-world phenomena, Topology and Its Applications.
Classroom
Class will be held, unless otherwise noted, at the following days & times.
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:
Course Webpage
Textbook
The (required) textbook we will use for this course isIntroduction to Topology - Pure and Applied by Adams & Franzosa.
Office Hours
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.
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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
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.Final Paper
(A list of sources (at least two), with descriptions of why you're using them)
The final paper will be worth 30 points (15% of your grade). Grading will be based as follows:
Laptops & Phones
Do not use your laptop, phone or electronic media device in class unless instructed to do so.
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:
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.
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.
Introduction To Topology Pure And Applied Solutions Manual
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 a variety of health conditions. These students have gone through a qualifying process with the Office of Disability Services. Faculty have been notified of which students receive these accommodations in their class. If you have concerns regarding this topic please contact the faculty member outside of class. Please do not question or confront fellow students in the classroom who are using alternative or modified face coverings.
The Registrar: Withdrawing from any course or any matters relating to registration are the responsibility of the student. For more information regarding this topic, check out the Registrars Website.
Topology - Math 441: Spring 2013 Syllabus
Department of Mathematics,College of Staten Island (CUNY)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.
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| 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 |