MATH/MTHE 472/872
Winter 2014
Homework Assignment 1
Every question is worth 10 points, a random subset will be graded.
Problem 1
a) Let F be a eld of subsets of some space X for all where is some set.
MATH/MTHE 472/872
Winter 2014
Homework Assignment 2
Solve at least 3 out of the total 5.
Problem 1: Dynamic Programming and Control
Consider the following problem. A investors wealth dynamics is given
MATH/MTHE 472/872
Winter 2014
Homework Assignment 4
Problem 1
Consider the MDP with components (X, A, p, c) and average cost J. Let (, h, f ) be a canonical
triplet. Prove that if h satises
lim Ex [h(
MATH/MTHE 472/872
Winter 2014
Homework Assignment 3
Problem 1
Consider the following model.
xt+1 = f (xt , ut , wt ),
yt = g(xt , vt ),
where X, U , W and V are assumed to be nite spaces. Here, cfw_wt
Final Project
The classication of compact surfaces
Rules of the Game
This worksheet is your nal exam for this course. You will work on these
problems in class. Douglas will be there to help you for th
LECTURE PLAN FOR MATH 472
INTRO TO TOPOLOGY
Fall 2010
1
Aug 23
Announcements
1. Exams
2. Hwk
3. Oce times/talk to each other rst
4. Feedback
Draw pictures about things that are equal or dierent in die
The Fundamental Group
Renzos math 472
This worksheet is designed to accompany our lectures on the fundamental
group, collecting relevant denitions and main ideas.
1
Homotopy
Intuition: Homotopy formal
Projects
Renzos math 472
1
Compactications
Compact spaces are very nice for many dierent reasons, most of which
will only become evident much further along in your mathematical journey.
Given a non co
Projects
Renzos math 472
The list of questions/projects below will lead the discussion for this week.
Dont be shy, put forth your ideas
1
Dense Sets
Let X be a topological space. A set A is called den
Renzos Math 490
Introduction to Topology
Tom Babinec
Chris Best
Michael Bliss
Nikolai Brendler
Eric Fu
Adriane Fung
Tyler Klein
Alex Larson
Topcue Lee
John Madonna
Joel Mousseau
Nick Posavetz
Matt Ros