Math for Econ II, Written Assignment 1 (28 points)
Due Friday, September 12, in recitation
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any cr
Math for Econ II, Written Assignment 2 (28 points)
September 19, in recitation
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
14.4 G
Math for Econ II, Written Assignment 1 (28 points)
Due Friday, February 7th, in recitation
New York University
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any cre
Matrices and Systems of Equations
Jankowski, Math for Economics II
February 26, 2014
Jankowski, Math for Economics II
Matrices and Systems of Equations
Systems of equations
In the past weve solved equations like:
x + y = 5,
3x y = 7.
What about more compl
Math for Econ II, Written Assignment 4 (28 points)
Due Friday, February 28th
New York University
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write yo
Math for Econ II, Written Assignment 4 (28 points)
Due Friday, October 3
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your name and recitation s
FEB-Ol-ZOOB 21:36 P.001/018
(21 pts) This part consists of 7 multiple choice problems. Nothing more than the
answer is required; consequently no partial credit will be awarded.
9:21 -
1. The domain of the function y) = . U2 is
(a) livl >17y7é0
(b) 33 >
Math for Econ II, Written Assignment 2 (28 points)
Due Friday, September 19, in recitation
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any cr
Course Overview
Jankowski, Math for Economics II
Math for Economics sequence vs. Calculus sequence
The Math for Economics course sequence (I, II, III) is meant to replace the course sequence of Calculus I, II, and
III for many students.
In almost all case
Math for Econ II, Written Assignment 6 (28 points)
Due Friday, October 24
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your
Quiz 3, Math for Economics II (30 pts)
New York University
Note: Show all your work, clearly and in order, if you want to get full credit.
1. (5 pts). Let A be a 4 3 matrix, let B be a 3 2 matrix, and let C be a 2 2 matrix. In each of the following
cases,
Math for Econ II, Written Assignment 4 (28 points)
Due Friday, October 3
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your name and recitation s
Math for Econ II, Written Assignment 1 (28 points)
Due Friday, Feb 6, in recitation
Trush, Spring 2015
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Wr
Quiz 2, Math for Economics II (30 pts)
New York University
Note: Show all your work, clearly and in order, if you want to get full credit.
Let f (x, y) = x2 + y 2 + 4x 4y and let g(x, y) = x2 + y 2 . Your goal is to nd the absolute and local extrema of f
Math for Econ II, Written Assignment 5 (30 points)
Due Friday, October 30
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work, you
will not be given any credit. Remember to write your name and
Math for Econ II, Written Assignment 6 (28 points)
Due Friday, April 3rd
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your name and recitation s
Math for Econ II, Written Assignment 3 (28 points)
Due Friday, September 26, in recitation
Jankowski, Fall 2014
1. (4 pts) Find the dierential of the following functions.
y
1 + xy
(a) (2 pts)
f (x, y) =
(b) (2 pts)
P (K, L, M ) = KM eL
2
M 2
2. (2 pts) Su
Quiz 4, Math for Economics II (30 pts)
New York University
Note: Show all your work, clearly and in order, if you want to get full credit.
1. (10 points) Find the following determinant:
2
3
0
1
1
1
3
5
0 3
2 0
0 2
0 3
Solution: we expand along the third c
Multivariable Optimization: Lagrange Multipliers
Jankowski, Math for Economics II
February 19, 2014
Jankowski, Math for Economics II
Multivariable Optimization: Lagrange Multipliers
Tools from Math for Econ 1
1
Maxes and mins on the interior of the domain
Math for Economics II
New York University
Exam 1, Version A, Fall 2015
Name:
Recitation Section:
Read all of the following information before starting the exam:
Show all work, clearly and in order, to get full credit. I reserve the right to take o points
Math for Econ II, Written Assignment 1 (28 points)
Due Friday, September 12, in recitation
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any cr
Math for Econ II, Written Assignment 7 (28 points)
Due Friday, October 31
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your
Math for Econ II, Written Assignment 10 (28 points)
Due Friday, December 5
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write you
Math for Econ 785
II,
14.4 GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE
Written Assignment 2 (28 points)
Due Friday, Feb. 13, in recitation
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no
MAR-22-2006 20:49 P 001/020
(18 pts) This part consists of 6 multiple choice problems. Nothing more than the
answer is required; consequently no partial credit will be awarded.
1. Given
Q
ll
P-OII
OHH
woo
the last row of its inverse, 01, is
1 2 1
2 0 1 3
Math for Econ II, Written Assignment 8 (28 points)
Due Friday, April 11th
New York University
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your
Math for Econ II, Written Assignment 9 (28 points)
Due Friday, November 14
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write you
Directional derivatives, gradients, tangent planes,
and dierentials (11.4, 11.6 of Stewart)
Jankowski, Math for Economics II
August 27, 2014
Jankowski, Math for Economics II
Directional derivatives, gradients, tangent planes, and dierentials
Average rate
Math for Econ II, Written Assignment 10 (28 points)
Due Friday, May 2nd
New York University
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your na
Math for Economics II
New York University
Exam 2, Version A, Fall 2015
Name:
Recitation Section:
Read all of the following information before starting the exam:
Show all work, clearly and in order, to get full credit. I reserve the right to take o points
CHAPTER
CHAPTER
1I
At the
the Crossroads
Crossroads of
of Central
Central Asia
At
The
The Kingdom
Kingdom of
of Kroraina
Kroraina
1901, even before
Stein arrived
arrived at the site of
of Niya,
Niya, his
January 1901,
before Aurel
Aurel Stein
,nn late Jan
1
Central Asia: A Study of History, Society, Culture and its Affects on the
Current Political and Economic Ideologies of Todays Leaders
_
Scott Haase
Hawaii Pacific University
Master of Arts: Diplomacy and Military Studies
Spring 2008
2
Abstract
The purpo
Yishan Zhang
Professor.Soren Stark, Instructor: Shujing Wang
CORE UA-500
October 31, 2016
Central Asia and its Interactions with the Neighboring Empires
Central Asia has gained increasing attention from its presence in the
worlds history. Beforehand, due