Econ 3G03: Introduction to Advanced Economic Theory
Test 2
Instructor: Seungjin Han
November 21, 2012
The test includes four questions. Please read them carefully and answer all
of them. Calculators are not allowed.
1. Determine whether the following func
Econ 3G03: Introduction to Advanced Economic Theory
Test 3
Instructor: Seungjin Han
November 26, 2015
Please read them carefully and answer all questions.
1. Consider the following problem:
local max (min) f (x; y) = x2 + y 2
subject to g(x; y) = x2 + xy
Econ 3G03
Term test 1
October 1, 2014
Please read questions carefully and answer all four questions.
1. Consider the following function
f (x) =
ax2
if x > 1
,
2
ax + 2 otherwise
where a 6= 0. Derive
lim
h0
f (x + h) f (x)
f (x + h) f (x)
and lim+
h0
h
h
a
Econ 3G03: Introduction to Advanced Economic Theory
Test 1
Instructor: Seungjin Han
October 1, 2015
The test includes four questions. Please read them carefully and answer all
of them. Calculators are not allowed.
1. The demand and supply functions of a t
Department of Economics
McMaster University
Econ 3G03: Introduction to Advanced Economic Theory
Test 2
Instructor: Seungjin Han
October 29, 2015
Please read questions carefully and answer all four questions. No calculator is allowed.
1. Answer the followi
ECON 3G03: Introduction to Advanced Economic Theory
Problem set 1
1. Consider the following system of linear equations:
4x2 + 2x3 = 4
x1 + 2x2 + x3 = 3
2x1 + 2x3 = 6
Express the system of linear equations as Ax = d, where A is a 3 3
matrix, x is a 3 1 col
ECON 3G03: Introduction to Advanced Economic Theory
Problem 2
Instructor: Seungjin Han
October 22, 2015
1. Consider the following two sets:
A = f(x1 ; x2 ) 2 R2 : x1 2 and x2
B = f(x1 ; x2 ) 2 R2 : x1 > 0 and x2
4g
2g
Determine whether each of A; B; and A
Econ 3G03: Introduction to Advanced Economic Theory
Practice Questions
1. Derive the exact solution to each of the following rst-order dierential
equations and show whether or not there exists an equilibrium state in
each case.
(a) The initial time is t =
Econ 3G03: Introduction to Advanced Economic Theory
Test 1
Instructor: Seungjin Han
October 29, 2014
The test includes four questions. Please read them carefully and answer all of
them. Calculators are not allowed.
1. Answer the following questions.
(a) C
Econ 3G03: Assignment 3
November 20, 2015
1. Consider a problem for local maximizer/minimizers. The obejctive
function is x2 +y 2 and the equality constraint is 4x2 +2y 2 = 4: Find the
four points that satises the rst-order conditions for the Lagrangian
f
Econ 3G03: Introduction to Advanced Economic Theory
Test 3
Instructor: Seungjin Han
November 26, 2014
This test includes 4 questions. Please read them carefully and answer all of
them.
1. Determine whether the following functions are quasiconcave, quasico
Econ 3G03: Introduction to Advanced Economic Theory
Test 1
Instructor: Seungjin Han
October 2, 2013
The test includes four questions. Please read them carefully and answer all
of them. Calculators are not allowed.
1. Use the matrix inversion to nd the val
Econ 3G03: Introduction to Advanced Economic Theory
Test 2
Instructor: Seungjin Han
October 30, 2013
This test includes four questions. Please read them carefully and answer all
of them.
1. Consider the function
u = xyzw;
where x = r + s; y = r
at (r; s)
Econ 3G03: Introduction to Advanced Economic Theory
Test 1
Instructor: Seungjin Han
October 31, 2012
The test includes four questions. Please read them carefully and answer all of them.
Calculators are not allowed.
1. Solve the following questions
(a) Let
Econ 3G03: Introduction to Advanced Economic Theory
Test 1
Instructor: Seungjin Han
October 3, 2012
The test includes four questions. Please read them carefully and answer all of
them. Calculators are not allowed.
1. Find a solution to the following syste
Econ 3G03 Introduction to Advanced Economic Theory
Test 3
Seungjin Han
November 25, 2013
This test includes three questions. Please read them carefully and answer all
of them.
1. Determine whether the following function is quasiconcave or quasiconvex or n