ME 641 Matrices
Learning Objectives
The student will be able to:
Define matrices as abstract vector space
Classify matrices
Rectangular, square, triangular, diagonal, identity
Symmetric, orthogonal, positive definite, Toeplitz, circulant
Decompose m

Douglas Maffia
Economics for Managers
1/31/17
Homework #1
I pledge my Honor that I have abided by the Stevens Honor System
5.6) For each of the following statements, draw a diagram that illustrates the likely effect on the market
for eggs. Indicate in eac

Economics
i.
ii.
The market demand curve this time is composed of three different
segments. For prices between 8 and 10, the demand curve is P = 10 Q;
for prices between 6 and 8, the demand curve is P = 9 (1/2)Q; and for
prices between 0 and 6, the demand

i. P = Q + 5 as the mar
1. as P = 500 .005Q and the market supply for these phones is given as P = .005Q. For all
questions in this problem make sure you show your work and not just your final answer
a. in the market for smart phones given this change in

i.
To find the market supply algebraically first rewrite the two firm
supply curves in x-intercept form: Qa = (1/2)P and Qb = (1/2)P 5.
Then, for prices less than 10, the market supply curve is just firm As
supply curve: thus, the market supply is P = 2Q.

a. . Thus, consumer expenditure = ($250 per smart phone)(50,000 smart phones) =
b.
c.
d.
e.
f.
g.
$12,500,000.
Consumer surplus = CS = (1/2)($500 per smart phone - $250 per smart phone)
(50,000 smart phones) = $6,250,000.
Producer surplus = PS = (1/2)($25

i. values in the three graphs.
ii. From the graphs in (i) write an equation in slope intercept form for the
market supply curve.
iii. Show algebraically how you could find the market supply curve.
Answer:
a. From the information given we know the market s

a. Given this new information, what is the value of consumer expenditure on smart
phones in this market?
b. What is the new value of consumer surplus in the market for smart phones given
this change in tastes and preferences?
c. What is the new value of p

Economics 101
Marys demand curve, in the third graph draw Ellens demand curve, and
in the fourth graph draw the market demand curve. Be sure to identify any
intercept values as well as any kink values in the four graphs.
ii. From the graphs in (i) write a

i.
ii.
The market demand curve this time is composed of three different
segments. For prices between 8 and 10, the demand curve is P = 10 Q;
for prices between 6 and 8, the demand curve is P = 9 (1/2)Q; and for
prices between 0 and 6, the demand curve is

a. a verbal description of the outcome in this market due to these changes.
b. Consider the market for noodles that is initially in equilibrium with a market price
of P1 and a market quantity of Q1. Noodles are an inferior good. Suppose that
peoples incom

a. What is the new value of producer surplus in the market for smart phones given
this change in tastes and preferences?
Answers:
a. To find the equilibrium quantity set the market demand curve equal to the market
supply curve: 500 - .005Q = .005Q or Q =

ECN 220
Week 1
Objectives
Learning Objectives:
1.Explain how economists address the problem of
scarcity
2. Explain how economists use theories and models
to understand economic issues and economic
systems
3. Distinguish between micro and macro-economics

1. What is Economics and why is it so important?
Economics is the analysis of how humans make decisions without taking in to account the
amount of resources that are available. The studying of economics provides a systematic
approach to evaluating and und

ME 641 Vector Integral Calculus
Learning Objectives (cont.)
The student will be able to:
Evaluate line integrals of vector fields
Determine whether line integrals of vector fields are
independent of path
Determine whether vector fields are conservativ

ME 641 Advanced Calculus
Learning Objectives
The student will be able to:
Define functions, single-variable and multi-variable
functions
Calculate limits of single-variable and multi-variable
functions
Check single-variable and multi-variable function

2002 0 30 60 90 120 150 0 30 60 90 120 150 2013
World Economic Forum 2013 World Economic
Forum Data Tables 5th pillar Prioritization of Travel
& Tourism 2013 World Economic Forum 404 |
The Travel & Tourism Competitiveness Report 2013
2.2: Data Tables RANK

prioritization of the T&T industry How much of a
priority is the development of the T&T industry for
the government of your country? [1 = not a priority
at all; 7 = a top priority] | 20112012 weighted
average Source: World Economic Forum, Executive
Opinio

.17.0 131
Haiti .17.0 133
Madagascar .15.0 134
Ghana .14.0 135
Benin .13.0 135
Chad .13.0 135 Sierra
Leone .13.0 138
Tanzania .10.0 n/a Puerto
Rico .n/a n/a Saudi
Arabia .n/a 4.02 Access to
improved sanitation Access to adequate sanitation
as a percentage

ME641 Introduction
Learning Objectives
The student will be able to:
Define engineering analysis and simulation
Describe steps in engineering analysis
Draw generic Tonti diagram
Describe methods for representing complex systems by
simplified models
Reduct

ME 641 Partial Differential Equations
Learning Objectives
The student will be able to:
Classify 2nd order PDEs into elliptic, parabolic and
hyperbolic equations
Use separation of variables to solve
Laplaces equation
Diffusion equation
Wave equation

ME 641 Linear Differential Equations
Learning Objectives
The student will be able to:
Write ODEs in operator form
Solve first-order ODEs using
Method of integrating factor
Eigenvalue method
Transformation method
Method of separation of variables
Solve

ME 641 Systems of Differential Equations
Learning Objectives
The student will be able to:
Solve systems of homogeneous 1st order ODEs with a
full set of n linearly independent eigenvectors using
Eigenvalue method
Matrix exponential method
Diagonaliza

Approximation of Functions
Learning Objectives
The student will be able to:
Interpolate discrete data points by curves using
Lagrange polynomials Ln(x)
Cubic splines s3(x)
Non-polynomial functions
Curve fit discrete data with polynomial and nonpolyn

ME 641 Vector Differential Operators
Learning Objectives
The student will be able to:
Describe various physical phenomena using scalar
fields and vector fields
Calculate directional derivative of scalar fields
Calculate gradient and generalized gradie

ME 641 Eigenvalues and Eigenvectors
Learning Objectives
The student will be able to:
Define eigenvalue problem
Calculate eigenvalues and eigenvectors of linear
operators
Differentiation
Integration
Time shift
Find characteristic polynomial for matr

ME 641 Advanced Differential Equations
Learning Objectives
The student will be able to:
Determine whether an infinite series of functions
converges (pointwise or uniformly)
Expand functions into Taylor and Maclaurin series
Solve homogeneous and nonhom