EC 2104 Quantitative Methods for Economic Analysis
Problem Set 2
Students will solve selected problems from the following questions during tutorial sessions the week
of February 1, 2016.
1. Find f 0 (x) for the following f (x):
(a) |x|
(b) x(1a) (1 x)a
wh
NATIONAL UNIVERSITY OF SINGAPORE
EC2104 Quantitative Methods for Economic Analysis
Semester 2, AY2015-2016
Midterm Examination
29 February, 2016
Suggested Solutions
Problem 1: In the study of Managerial Economics, Net Investment, I is defined to be the ra
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 6 Solutions
Students will solve selected problems from the following questions during tutorial sessions the week
of October 13, 2014.
1. For each of the following functions, nd whether they ar
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 6
Students will solve selected problems from the following questions during tutorial sessions the week
of March 21, 2016.
1. Solve each of the following constrained optimization problems. You
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 5
Students will solve selected problems from the following questions during tutorial sessions the week
of March 14, 2016.
1. For each of the following functions, use the second derivative test
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 8
Students will solve selected problems from the following questions during tutorial sessions the week
of April 4, 2016.
1. For each of the following sets of matrices A, B and C, show that
!
!
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 9
Students will solve selected problems from the following questions during tutorial sessions the week
of April 11, 2016.
1. Find the following determinants using expansion by cofactors. You
t
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 9 Solutions
Students will solve selected problems from the following questions during tutorial sessions the week
of April 11, 2016.
1. Find the following determinants using expansion by cofact
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 8 Solutions
Students will solve selected problems from the following questions during tutorial sessions the week
of April 4, 2016.
1. For each of the following sets of matrices A, B and C, sho
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 5
Students will solve selected problems from the following questions during tutorial sessions the week
of March 14, 2016.
1. For each of the following functions, use the second derivative test
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 6 Solutions
Students will solve selected problems from the following questions during tutorial sessions the week
of March 21, 2016.
1. Solve each of the following constrained optimization prob
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 7
Students will solve selected problems from the following questions during tutorial sessions the week
of March 28, 2016.
Optimization Group Work
1. Get into groups of 2 or 3 with your classma
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 1
Students will solve selected problems from the following questions during tutorial sessions for the
week January 25, 2016.
1. Assume you have the demand function q d = D(p) = p/2 + 8 and the
Quantitative Methods for Economic Analysis
EC2104
Lecture 2
August 18, 2015
Outline
Readings: SH, Chapters 6, 7.7-7.12
Notation and Importance of Dierentiation
Limits
Denition and Rules for Dierentiation
Applications: Growth Rates and Elasticities
Co
Quantitative Methods for Economic Analysis
EC2104
Lecture 10
October 27, 2015
Administrative Issues
Final exam will take place Monday, 30th November 2015
Covers entire module
5 MCQs (2 points each)
4 multi-part short answers (10 points each)
No formu
Quantitative Methods for Economic Analysis
EC2104
Flipped Classroom
Lecture 7
September 29, 2015
Recap: First-Order (Necessary) Conditions
If a dierentiable function z = f (x, y ) has a (global)
extremum at an interior point (x0 , y0 ) of its domain S, t
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 1
Students will solve the problems from the following questions during tutorial sessions for the week
of January 25, 2016.
1. Assume you have the demand function q d = D(p) = p/2 + 8 and the s
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 2
Students will solve selected problems from the following questions during tutorial sessions the week
of February 1, 2016.
1. Find f 0 (x) for the following f (x):
(a) |x|
We can take this de
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 4
Students will solve selected problems from the following questions during tutorial sessions the week
of February 15, 2016.
1. Find the total area of the shaded regions below.
y
4
x=6
x=1
2
x
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 4
Students will solve selected problems from the following questions during tutorial sessions the week
of February 15, 2016.
1. Find the total area of the shaded regions below.
y
4
x=6
x=1
2
x
EC 2104 Quantitative Methods for Economic Analysis
Problem Set 3
Students will solve selected problems from the following questions during tutorial sessions the week
of February 8, 2016.
1. Find all the first-order partial derivatives of the following fun
EC2104 QUANTITATIVE METHODS FOR ECONOMIC
ANALYSIS
PRE-TEST
A certain familiarity with elementary algebra is an essential pre-requisite for
this module. This test is designed for you to discover whether you have the proper
background. The relevant sections
Quantitative Methods for Economic Analysis
EC2104
Lecture 2
January 18, 2016
Outline
Readings: SH, Chapters 6, 7.7-7.12
Notation and Importance of Differentiation
Limits
Definition and Rules for Differentiation
Applications: Growth Rates and Elasticit
NATIONAL UNIVERSITY OF SINGAPORE
EC2104: Quantitative Methods for Economic Analysis
Semester 1, AY2015/16
Suggested Solutions
EC2104
SECTION A.
There are 5 questions in this section. Attempt all questions. Each correct answer gets 2 marks.
No marks will b
NATIONAL UNIVERSITY OF SINGAPORE
EC2104 Quantitative Methods for Economic Analysis
Semester 1, AY2015-2016
Midterm Examination
6 October, 2015
Time Allowed: 90 minutes
INSTRUCTIONS TO CANDIDATES
1. This examination paper comprises (10) printed pages, incl
NATIONAL UNIVERSITY OF SINGAPORE
EC2104 Quantitative Methods for Economic Analysis
Semester 1, AY2015-2016
Midterm Examination
6 October, 2015
Suggested Solutions
Problem 1: In Financial Economics, the present value P of a sum of money A to be received
in
NATIONAL UNIVERSITY OF SINGAPORE
EC2104 Quantitative Methods for Economic Analysis
Semester 2, AY2014-2015
Midterm Examination
2 March, 2015
Time Allowed: 90 minutes
INSTRUCTIONS TO CANDIDATES
1. This examination paper comprises (8) printed pages, includi
NATIONAL UNIVERSITY OF SINGAPORE
EC2104 Quantitative Methods for Economic Analysis
Semester 2, AY2015-2016
Midterm Examination
29 February, 2016
Time Allowed: 75 minutes
INSTRUCTIONS TO CANDIDATES
1. This examination paper comprises (10) printed pages, in