Assignment 1, Math for Economics I (28 points)
Due Friday, February 6, in recitation
1. (3 pts) In a Kentucky town, the monthly charge for waste collection is a linear function of the amount of waste.
The charge is $8 for 32 gallons of waste, and the char
Assignment 3, Math for Economics I (28 points)
Due Friday, February 20, in recitation
1. (2 points) A rm produces a commodity and receives $100 for each unit sold. The cost of producing and selling
x units is 20x + 0.25x2 dollars. Find the number of units
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
May 6, 2010
Spring 2010 Final Exam
The value of each question is given in the parenthesis.
1. (5) Write your name on the cover of two exam booklets and label one of
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
February 23, 2010
Spring 2010 MidTerm Exam I Answer Key
The value of each question is given in the parenthesis.
1. (5) Write your name and a 4-digit ID on the cover
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
April 11, 2011
Spring 2011 Midterm II
The value of each question is given in the parenthesis.
1. (4) Write your name and a 4 digit ID (the same one used on the rst m
New York University
Department of Economics
ECON-UA 6
Mathematics for Economists
C. Wilson
May 7, 2012
Problem Set 11 Answer Key
1. The utility function u : R2 R for the household is
+
u(x) = x1 + 2 x2 .
(a) Given prices p R2 , and income I > 0, state the
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
May 15, 2012
Spring 2011 Final Exam Answer Key
The value of each question is given in the parenthesis.
1. (5) Write your name on the cover of two exam booklets and l
Assignment 9, Math for Economics I (28 points)
Due Friday, April 24, in recitation
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. Please do not forget to:
Writ
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
May 9, 2012
Spring 2010 Final Exam Answer Key
The value of each question is given in the parenthesis.
1. (5) Write your name on the cover of two exam booklets and la
Assignment 8, Math for Economics I (28 points)
Due Friday, April 10th, in recitation
1. (2 pts) Suppose the elasticity of demand for Brand Xs product at its current price is 0.5. If Brand X slightly
increases its price, will its revenue increase or decrea
Assignment 2, Math for Economics I (28 points)
Due Friday, February 13, in recitation
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. For especially painful comp
Assignment 6, Math for Economics I (28 points)
Due Friday, March 27, in recitation
1. (4 pts) Let f (x) = ln(1 + x2 ). On what intervals is f convex?
Solution: Chain rule gives f (x) =
2x
. Now we apply quotient rule:
1 + x2
f (x) =
2 2x2
(1 + x2 )(2) 2x(
Assignment 10, Math for Economics I (28 points)
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. Please do not forget to:
Write your name and recitation section
Assignment 7, Math for Economics I (28 points)
Due Friday, April 3, in recitation
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. Please do not forget to:
Write
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
March 27, 2012
Problem Set #7 Answer Key
1. Suppose the excess demand vector for goods 1 and 2 is given by the matrix equation
Z (p, y ) = Ap + By
y1
p1
where p =
is
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
April 4, 2012
Problem Set #8 Answer Key
1. Write down the symmetric matrix that corresponds to each of the following quadratic forms:
(a) q : R R: q (x) = 3x2
A = [3
New York University
Department of Economics
ECON-UA 6
Mathematics for Economists
C. Wilson
April 19, 2012
Problem Set #10 Answer Key
1. Consider the function f : R2 R dened by
f (x1 , x2 ) = x2 x1 (1 x1 ) + x2 (1 x2 )
(a) Compute Df (x)
Df (x) = (f1 (x),
Assignment 5, Math for Economics I (28 points)
Due Friday, March 13, in recitation
1. (2 points) Find f (x) if f (x) = (3x2 + 2)135 .
Solution: Our function is u135 where u = 3x2 + 2. Thus,
f (x) = 135u134
du
= 135(3x2 + 2)134 6x = 810x(3x2 + 2)134 .
dx
I
Assignment 4, Math for Economics I (28 points)
Due Friday, February 27, in recitation
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. Please do not forget to:
W
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
March 7, 2012
Problem Set #6 Answer Key
1. Consider the following matrices:
3 2 2
A=
10 3
B=
3 1
1 4
Compute the following. If an operation is not dened, then explai
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
February 28, 2012
Problem Set #5 Answer Key
1. Express the vector (3, 2) as a linear combination of vectors (1, 1) and (2, 1) . Illustrate graphically.
The problem i
New York University
Department of Economics
ECON-UA 6
Mathematics for Economists
C. Wilson
May 15, 2012
Spring 2012 Final Exam Answer Key
1. (4) Write your name on the cover of each exam booklet you submit. Begin each question on a
separate page. The valu
New York University
Department of Economics
ECON-UA 6
Mathematics for Economists
C. Wilson
May 15, 2012
Spring 2012 Final Exam
1. (4) Write your name on the cover of each exam booklet you submit. Begin each question on a
separate page. The value of each q
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
April 4, 2012
Spring 2011 Midterm II Answer Key
The value of each question is given in the parenthesis.
1. (4) Write your name and a 4 digit ID (the same one used on
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
February 23, 2012
Spring 2011 MidTerm Exam I Answer Key
1. (6) Write your name and a 4-digit ID on the cover of two exam booklets. Label one of the
booklets 2-5, ano
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
March 1, 2011
Spring 2011 MidTerm Exam I
1. (6) Write your name and a 4-digit ID on the cover of two exam booklets. Label one of the
booklets 2-5, another 6-8 and an
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
May 17, 2011
Spring 2011 Final Exam
The value of each question is given in the parenthesis.
1. (5) Write your name on the cover of two exam booklets and label one of
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
April 2, 2012
Spring 2010 Midterm II Answer Key
The value of each question is given in the parenthesis.
1. (4) Write your name and a 4 digit ID (the same one used on
New York University
Department of Economics
V31.0006
Mathematics for Economists
C. Wilson
April 1, 2010
Spring 2010 Midterm II
The value of each question is given in the parenthesis.
1. (4) Write your name and a 4 digit ID (the same one used on the rst mi
New York University
Department of Economics
ECON-UA 6
Mathematics for Economists
C. Wilson
February 23, 2012
Spring 2012 MidTerm Exam I
The value of each question is given in the parenthesis.
1. (5) Write your name and a 5-digit ID on the cover of each ex