0
11
22
0
00
, ,11, ,and
Problem
vectors
and1 1are
arelinearly
linearly
independent.
Problem1-01
1-01 Prove
Prove that
that the
the vectors
independent.
11
00
11
Problem1-02
1-02
Problem
46
ANSWERS
HOMEWORK 3: Linear Algebra A
ECON 425/525
Art

Advanced Macroeconomic Theory (ECON 403/503) Christian Sigouin
Term exam #2 - Fall 2009
Read each question carefully. All answers must be clearly justied. Calculations must be detailed. All
questions carry equal weight: Do not waste all your time trying t

Advanced Macroeconomic Theory (ECON 403/503) Christian Sigouin
Term exam #2 Fall 2011
Justify all answers using the concepts learned in class. All questions carry equal weight.
Question #1: A penny saved is a penny earned.iBenjamin Franklin
Consider a two

Advanced Macroeconomic Theory (ECON 403/503) Christian Sigouin
Final exam Fall 2009
Read each question carefully. All answers must be clearly justied. Calculations must be detailed. All
questions carry equal weight: Do not waste all your time trying to an

ECONOMETRICS I
ECON 421/521
Final Exam, Fall 2015
December 9, 2015 0900 - 1200
Room: MB2.255/430
Instructor: Prosper Dovonon
NB: Read the questions carefully. Write clear and complete answers. Show your work and get credit. Partial
answers get partial cre

ECON615: M ACROECONOMICS I
Wintr 2017
Instructor
Name:
Office:
Phone:
email:
Office hours:
Paul Gomme, Professor
H115527
514-848-2424 extension 3934
[email protected]
Mondays 10:00-11:00
Grading
There will be quizes on the following dates:
February

Concordia University
Department of Economics
ECON 680: Econometric Theory I
Assignment 2: Due on 27/02/2017 (before midterm)
Winter 201712/02/2017
Question 1
Consider the classical linear regression model:
Y = X + U,
where Y and U are two n 1-vectors, X a

Concordia University
Department of Economics
ECON 680: Econometric Theory I
Winter 2017
Monday 14:00-16:00
Instructor: Prosper Dovonon
Oce: H 1155-49
Phone: 514-848-2424 (ext. 3479)
E-mail: [email protected]
Oce Hours: Tuesday 13:00-14:30
TA: T

Lecture 1
January 9, 2017
1
Binary Relations, Preference Relations and Revealed
preference
We start with a an arbitrary set X. Let X X denote the cartesean product of all ordered
pairs (x, y) where both x and y arec from X.
1.1
Binary relation
A Binary re

Concordia University
Department of Economics
ECON 680: Econometric Theory I
Assignment 1: Due on 06/02/2017
Winter 201716/01/2017
Question 1 (Stock and Watson, Exercise 2.27)
Let X and Z be two random variables. Suppose you know the value of Z, but not th

Assignment 1
612
January 24, 2017
There are 8 questions in this assignment. You will have 8 days to complete
them and hand them to me. The assignment answers have to be handed on
Wednesday , February 1, 2017 . You can drop them in my mailbox, by 2.00
p.m.

Advanced Macroeconomic Theory (ECON 403/503) Christian Sigouin
Term exam #2 Winter 2010
Read each question carefully. All answers must be clearly justied. Calculations must be detailed.
All questions carry equal weight: Do not waste all your time trying t

Advanced Macroeconomic Theory (ECON 403/503) Christian Sigouin
Term exam #2 - Fall 2010
All questions carry equal weight: Do not waste all your time trying to answer just one.
Question #1
Consider a twoperiod economy with identical consumers with utility

HOMEWORK 1: Sets, Functions and Relations
ANSWER KEY
ECON 425/525
Prof. Art Shneyerov
1. (a) Show:
i=1 j=i Aj is the set of all elements in all but finitely many
Ak .
To show this, first consider x
i=1 j=i Aj . Then x j=i Aj
for some i. This, in turn, i

(a) Let A be a symmetric n n matrix with |A| = 0, let B be a 1 n matrix, and let X be an n 1 matrix.
Show that the expression
(X + 21 A1 B ) A(X + 21 A1 B ) 41 BA1 B
is equal to X AX + BX.
()
ANSWERS
51
(b) Suppose that A is symmetric and positiveECON425/

HOMEWORK 1: Sets, Functions and Relations
ECON 425/525
Prof. Art Shneyerov
There are 5 questions. Each question is worth 20 points.
1. Consider an infinite family of sets A1 , A2 , . Show that:
1
(a) [1
i=1 \j=i Aj is the set of all elements in all but fi

Midterm Exam: ANSWER KEY
ECON 425/525
Prof. Art Shneyerov
1. Show that a sequence cfw_xn in Rn satisfying |xn+1 xn |
2 n
3
is Cauchy.
By the triangular inequality, we have for m > n:
|xm xn |
m
X
|xi+1 xi |
i=n
m
X
(2/3)i <
i=n
n
n X
2
1
2
(2/3)i =

10
CHAPTER 2
MULTIVARIABLE CALCULUS
Problem 2-06
For what values of the constant a is the ECON425/525)
following function concave/convex everywhere?
Homework)5)
2
2
There)are)5)questions.)Each)is)worth)20)points.)
fC(x,
+O
1)xy
I ZyA
H Ay)
P T E=R x
3 +
S

Tutorial 1: Sets
ECON 425/525
Prof. Art Shneyerov
1. Consider the following three sets:
A = cfw_a, b, c,
B = cfw_c, a, d,
C = cfw_b, d, a
Find the following sets:
(a) A B
(b) B C
(c) A B C
(d) A B C
Distributive laws:
(e) A (B C), (A B) (A C). Compare.
(f

Econ 425/525 Homework 1
Department of Economics
Concordia University
Due 22 September, 2016
Provide complete work that leads to each answer. Do the problems in the order given.
Instructor: Ming Li
1. Prove DeMorgans Laws.
(A B)c = Ac B c ,
(A B)c = Ac B c

Econ 525 Homework 3 Solutions
Department of Economics
Concordia University
Instructor: Ming Li
1. Proof. () We want to show if A is closed, then it contains all of its
limit points.
First, A being closed implies that Ac is open. Thus, for any x Ac ,
there

Econ 425/525 Homework 6
Department of Economics
Concordia University
Due 24 November, 2016
Provide complete work that leads to each answer. Do the problems in the order given.
Instructor: Ming Li
1. Sundaram, #63 (a)(d), p. 73.
2. Sundaram, #4, (b)(d), p.

Assignment 2
612
February 4, 2017
There will be 7 questions in this assignment. The assignment answers have to
be handed on Tuesday February 14, 2017, in class. Full Grade is 100 points
1. (20 points) Consider the following utility function:
1
1
u(x1 , x2