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Spring 2017__

Office hours (starting January 30)

Mondays 3-4 pm

Tuesdays 2-3 pm

Wednesdays 4-5 pm

**Math 3001 (002) - Analysis 1 : ECCR 110 - MWF 10-10:50**

Syllabus - 002

and

**Math 3001 (003) - Analysis 1 : ECCR 110 - MWF 12-12:50**

Syllabus - 003

**Ressources**

Reminder of basic logic

A short guide to writing proofs

Construction of Number Systems - Notes by N. MOHAN KUMAR

Different kinds of orders

Axioms for Groups, Semi-Rings, Rings and Fields

CRing Project

**Class Notes**

My personal notes for the course

These are the notes that I write for myself when preparing this course. Students in the past have appreciated my sharing them, so I do, but they come with a heavy warning: this document is not as reliable a source as your textbook, which is a polished document. It may contain mistakes, confusing typos, and it will be evolving as the semester goes on. Finally, I will not cover every single topic listd in there.

Use these notes with care and do not hesitate to ask me if something looks fishy.

**Homework**

Homework 1 pdf

Homework 1 tex

Homework 1 - Solutions

Homework 2 pdf

Homework 2 tex

Homework 2 - Solutions

Homework 3 pdf

Homework 3 tex

Homework 3 - Solutions

Extra Practice Homework 3 (Do not submit) pdf

Extra Practice Homework 3 (Do not submit) tex

Homework 4 pdf

Homework 4 tex

Homework 4 - Solutions

Homework 5 - Part I pdf

Homework 5 - Part I tex

Homework 5 - Part II pdf

Homework 5 - Part II tex

Homework 5 - Part I - Solutions

Homework 5 - Part II - Solutions

Homework 6 tex

Homework 6 pdf

Homework 6 - Solutions

Homework 7 tex

Homework 7 pdf

Homework 7 - Solutions

Homework 8 tex

Homework 8 pdf

Homework 8 - Solutions

Homework 9 tex

Homework 9 pdf

Homework 9 - Solutions

Homework 10 tex

Homework 10 pdf

Homework 10 - Solutions

Homework 11 tex

Homework 11 pdf

Homework 11 - Solutions

**Review for midterm 2**

Review Midterm 2 pdf

Review Midterm 2 tex

**Review for Final**

Review Final pdf

Review Final tex

**Fall 2016****Math 6280 - Advanced Algebraic Topology - Homotopy Theory**

Syllabus

**Notes**

Class 1

Class 2

Class 3

Class 4

Class 5

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Class 13

Class 14

Class 15

Class 16

Class 17

Class 18

Class 19

Class 20

Class 21

Class 22

Class 23: Lecture and Notes by Daniel Martin - A Proof of the Homotopy Excision Theorem

Class 24

Class 25

Class 26

Class 27

Class 28: Katharine Adamyk and Andy Riddle - Proof of the Hurewicz Theorem

Class 29

Class 30,31: Paul Lessard - Singular homology and simplicial sets

Class 32: Leo Herr - EG and BG

Class 33

Class 34

Class 35: Jonathan Belcher and Jonathan Lamar - The Kunneth and Universal Coefficient Theorems

Class 36

Class 37

Class 38

Class 39: Part 1 by Sebastian Bozlee - Brown Functors

Class 39: Part 2 by Cherry Ng - Brown Representability

Class 40

Class 41: Josh Frinak and Steven Weinell - Postnikov Towers

Class 42: Robert Hines - Vector Bundles and K-Theory

Class 43: Andrew Healy - Rational Homotopy Theory

Class 44: Matthew Pierson and Lucas Simon - Steenrod Squares and the Hopf Invariant

Exercises that I will update after each class

**Assignments**

Assignment 1 - pdf

Assignment 1 - tex

Assignment 1 - Solutions

Assignment 2 - pdf

Assignment 2 - tex

Assignment 2 - Solutions

Assignment 3 - pdf

Assignment 3 - tex

Assignment 3 - Solutions

Assignment 4 - pdf

Assignment 4 - tex

Assignment 5 - Do Exercise A.2.2 and A.2.8 of Aguilar et al. - Due Friday December 9

**Other Ressources**

"On the construction of new topological spaces from exisiting one", by Emily Riehl