MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
Josiah Oh
Professor Russin
Genetically Modified Foods
10 June 2013
Genetically Modified Foods: A Risk Assessment
Scientists first discovered the possibility of genetic modification in 1946 and created the
first genetically modified plant in 1983 (Wikipedi
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
THE FAKE COIN PROBLEM
JOSIAH OH
Abstract. Given N coins, one of which is fake, and a balance
scale, we determine that the minimal number of necessary operations to guarantee nding the fake coin successfully is log2 N .
1. Introduction
The fake coin proble
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
The Gradient Theorem. Let U be an open subset of Rn. Let f:U>R be C1. If c:[a,b]>Rn is a C1
path in U, then the path integral of the gradient vector field of f along c is equal to f(c(b)
f(c(a).
Proof. Assume c:[a,b]>Rn is a C1 path in U. By the chain
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
FULL TITLE GOES HERE
FIRST AUTHOR AND SECOND AUTHOR
Abstract. The abstract goes here.
1. Introduction
Here is some stu in the introduction. It will lay out all the other things.
2. Why Math is Awesome
In this section, we will explain why math is awesome.
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
ON A RECURSIVE FORMULA FOR BINOMIAL
COEFFICIENTS
G. BERKOLAIKO
Abstract. We demonstrate that the binomial coecients B(n, k)
satisfy the recursive formula
B(n, k) = B(n 1, k 1) + B(n 1, k).
Moreover, we prove that together with the initial conditions B(n,
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
A REPORT ON CHEATING FATE: PROBABILITY AND
BETTING STRATEGIES IN UNFAIR GAMES BY MAC
EDMONDSON
JOSIAH OH
1. Synopsis
Edmondson rst introduces notation and the equations
(1) X0 = 0, Xn = Z1 +Z2 +.+Zn , n 1, and P (Zi = 1) = 1P (Zi = 1)
where Zi can either
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
EECS 336: Introduction to Algorithms
Assigned: 9/26/13
Homework 1
Due: 10/3/13
Homeworks may be done in pairs. Both students must contribute to the solution of all problems,
and both must be in the same lab section. One copy of the assignment should be tu
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
Josiah Oh
Dr. Russin
Genetically Modified Foods
22 May 2013
The Dangers of Ignorance
In September 2000, the Genetically Engineered Food Alert, a group of environmental
advocates, discovered and promptly publicized the fact that taco shells containing Cry9
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
A Report on A Resolution to the
TwoEnvelopes Problem, A.K.A. the Exchange
Paradox by Daniel Mourad
Josiah Oh
July 9, 2013
1
Synopsis
Mourad rst introduces the exchange paradox and then follows the line of reasoning that leads to the absurd conclusion tha
MENU: Intensive Linear Algebra and Multivariable Calculus Emphasis
MATH 2911

Spring 2013
The US is the largest producer of GM crops. However, our government does not currently
require GM foods to be labeled as such. Explain your position on this topic. You may take a
broad view or focus on a narrower topic such as economic consequences.
Due n