Recommended: Colin Adams and Robert Franzosa, Introduction to topology, pure and applied. This is a more recent (and much more expensive!) textbook with lots of examples, applications and extra material. Introduction to Topology: Pure and Applied is a really neat book. The author explains concepts clearly and includes easy to follow proofs and theorems. Also, as the title suggests, there are some sections on the applications of Topology, including some cool stuff like Cosmology, Knots, Dynamical Systems and Chaos.

MATH 462 Introduction to Topology
Syllabus for Spring 2017
Tues & Fri, 9:00 – 9:50am
Gildemeister 326

The text is nicely laid out, with plenty of explanations. I especially enjoy the sections on applied topology. One major issue, for myself at least, is the absence of solutions to the exercises! Granted, most of them are 'prove XYZ', so solutions aren't going to be very concise, but the complete lack of them has me slightly disappointed. Instructor: Richard Koch Office: 108A Deady Phone: 346-5630 and 686-8466; leave messages at 686-8466 Email: Office Hours: Tuesday and Thursday 1:00 - 3:00; Friday 9:30 - 11:00. Introduction to Topology: Pure and Applied Hardcover Books- Buy Introduction to Topology: Pure and Applied Books online at lowest price with Rating & Reviews, Free When you need to find by Colin Adams, Robert Franzosa Introduction To Topology: Pure And Applied.

Instructor: Dr. Eric ErrthumWinona Email Username: eerrthumOffice: 205 Gildemeister HallOffice Hours:See homepage. Or by appointment on any day.

Prerequisite: MATH210/MATH327 or any other proof writing background

Text & Calculator:

·Topology Now! by Messer and Straffin

·Introduction to Topology: Pure and Applied by Adams and Franzosa (use supplied pdf)

·Algebraic Topology by Hatcher (maybe)

No calculators will be needed on any quiz or exam, but might be required for some homework problems.

Course Website:http://course1.winona.edu/eerrthum/math462

About This Course: Topology is the study of spaces/shapes when size and angle don’t matter/aren’t well-defined. In the attempt to classify and understand these spaces we will find methods of construction, dissection, and computation of invariants. We will work toward an abstraction of the familiar ideas of measurement, continuity and connectedness.

Expectations: Students who complete this course with a passing grade are expected to be able to demonstrate the following skills: (i) Mastery of prerequisite material, (ii) Computations and classifications of objects and spaces, (iii) Understand and use the algebraic tools required in analyzing topological spaces, and (iv) work with abstract definitions that provide analogies to calculus concepts.

Grading:Homework (scaled as needed)90 points
Video Responses (2 @ 30 points)60 points
Quizzes (6 @ 30 points each, drop lowest)150 points
Midterms (3 @ 100 points)300 points
Final (In-Class)100 points

Final (Take-Home)50 points
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750 points total

Grades:A = 90%, B = 80%, C = 70%, D = 60%

Homework:You will be responsible for presenting and/or asking questions from the homeworks indicated on the dates below. Your grade will be based on preparedness, not necessarily correctness (though that’d be nice, too!)

Video Responses:Students will respond to the questions for each of three videos:

·Sphere Inside Out (Part 1) (Part 2) – Questions

·Wind and Mr. Ug – Questions, and Mobius Strip Activities – Treat this video like a science lab and answer the questions in the video at the times it wants you to (i.e. before the cutting). Your response do not have to from a coherent narrative. Just answer the questions in the order they are asked.

The due dates are given in the schedule below. Grades will be determined by the level and depth of your responses as well as on readability/grammar. The reflection is to be written as one coherent piece, not just disjointed answers to questions.

Quizzes:We will have a short quiz after each chapter (or set of chapters), see schedule below. The lowest quiz score will be dropped.

Exams:There will be two in-class midterms and one final exam. The final exam will be like a third midterm with a comprehensive take-home portion. Exam dates are tentative until officially announced in class.

Extra Credit:There will be bonus questions on quizzes and exams. If you’d like to do more extra credit, I will give a lecture (outside of regular class time, 8am?) on a section of the book or other topic we didn’t cover and assign work from that section.

Resources:You’re more than welcome to stop by during my office hours and ask questions. Really, please do.

Desire2Learn:Some course materials and approximate grades can be found on D2L.

Late/Missed Work:Missed quizzes will result in a score of zero. There are no make-up quizzes. Make-up exams will be given at the discretion of the instructor. If you miss class, it is your responsibility to obtain notes and assignments from fellow students. If you have an unavoidable absence, please inform the instructor beforehand.

Academic Dishonesty:Any type of academic dishonesty (cheating, copying, etc.) will result in failure and will be reported to school authorities. This includes homework. If you are having trouble with an assignment, please see the instructor first.

Introduction to topology pure and applied solutions pdf

Note:This syllabus is subject to change if deemed necessary by the instructor.

Tentative Schedule of Events – Math 462

(subject to change)

Introduction To Topology Pure And Applied Solutions Pdf

Week Starting	Tuesday	Friday
1/9	1.1 Equivalence HW (pg 4): 2, 5, 9, 10 1.2 Bijections HW (pg 11): 5, 9, 11, 16, 19, 20	1.3 Continuous Functions HW (pg 18): 5, 6abc, 7ab, 9, 10, 12 7.1 General Metric Spaces
1/16	7.1, cont. HW (pg 215): 1c, 2c, 5, 6b, 7(part 3), 8, 10, 13 7.2 General Topological Spaces HW (pg 221): 3b, 4, 5, 9, 10, 12	Chapter 7 Activity Basis of a Topology 1.4 Topological Equivalence 1.5 Topological Invariants HW (pg 23): 5, 6, 7, 9, 11, 15
1/23	1.5, cont. HW (pg 31): 3, 7, 8bc, 10, 13, 14 7.3 General Connectedness HW (pg 226): 1, 2, 3, 6, 7	1.6 Isotopy Video Demo HW (pg 37): 1, 3, 4, 5cd, 9, 11, 12 Chapter 1 Activity Isotopic Letters “An Unshellable Triangulation of a Tetrahedron” (optional)
1/30	Chapter 1 Quiz Midter