The objectives of this weeks labs are to:
Demonstrate the use of the equation feature of Microsoft Word. As noted on the
course outline, your assignments must be presented in typed form.
Provide an introduction to GRETL (opening data files, obtaining de
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Winter 2013
Midterm Examination # 2 - Suggested Solutions
Time: 1 Hour 20 Minutes
Section A: Denitions
Dene 4 of the following 5 terms in two sent
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Winter 2011
Assignment 1 - Suggested Solutions
Exercise 5.1
Solution: By denition, the range of a relation K from A to B is:
Range(K) = cfw_b B : a
Review Questions: Chapters 6 and 7
Linear Regression with Multiple Regressors
1) In the multiple regression model, the adjusted R2, R 2
.a cannot be negative.
.b will never be greater than the regression R2.
.c equals the square of the correlation coeffic
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Midterm Examination # 1 - Suggested Solutions
Time: 1 Hour 20 Minutes
Section A: Denitions
Dene 4 of the following 5 terms in two senten
ECON 3Q91
Mathematical Methods for Economics
Lester M.K. Kwong
Department of Economics
Brock University
Winter 2013
Final Examination - Suggested Solutions
Time: 3 Hours
This examination will not be deposited in the library reserve.
Section A: Denitions
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2015
Assignment 3
Due Date: Dec. 7, 2015 11:00am
Please note that according to the Undergraduate Calendar, plagiarism means presenting work
do
Vectors and Matrices
Lester M.K. Kwong
Created: August 6, 2004
This version: October 7, 2008
Simple Operations (+, , and ).
1
Economic models often involve a system of linear equations. For example,
in econometrics, the ordinary least squares (OLS) involv
Chapter 7
Vector Space
Lester M.K. Kwong
Department of Economics
Brock University
Version: 3.2.3.O
Compiled: September 30, 2013 at 2:02pm
Copyright c 2004-2013 Lester M.K. Kwong. Department of Economics, Brock
University, 500 Glenridge Ave., St. Catharine
Chapter 5
Cardinality
Lester M.K. Kwong
Department of Economics
Brock University
Version: 3.0.5.O
Revised: October 8, 2012
Copyright c 2004-2013 Lester M.K. Kwong. Department of Economics, Brock University, 500 Glenridge Ave., St. Catharines, Ontario, L2S
Chapter 4
Relations
Lester M.K. Kwong
Department of Economics
Brock University
Version: 3.2.6.O
Compiled: September 6, 2013 at 3:08pm
Copyright 2004-2013 Lester M.K. Kwong. Department of Economics, Brock
University, 500 Glenridge Ave., St. Catharines, Ont
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2015
Assignment 1
Due Date: Sept. 30, 2015 11:00am
Exercise 5.1
Solution: By denition, the range of a relation K from A to B is:
Range(K) = cf
Economics 3Q91
Mathematical Methods for Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 3 - Suggested Solutions
1. Consider a function f : Rn R such that f is homogeneous of degree k. Consider a
function g : R R s
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2013
Midterm Examination # 1 - Suggested Solutions
Time: 1 Hour 20 Minutes
Section A: Denitions
Dene 4 of the following 5 terms in two senten
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Midterm Examination # 1
Time: 1 Hour 20 Minutes
Section A: Definitions
Define 4 of the following 5 terms in two sentences or less.
1. (
Multivariate Functions and Optimization
Lester M.K. Kwong
Created: August 7, 2004
This Version: August 28, 2007
1
Derivatives
1.1
The Partial
Consider a function f : D R with D Rn .1 Then the partial derivative
of f (x) with respect to xi around some poin
Chapter 8
Matrices as Linear Transformations
Lester M.K. Kwong
Department of Economics
Brock University
Version: 3.0.3.h
Compiled: July 22, 2013 at 5:00am
Copyright 2004-2013 Lester M.K. Kwong. Department of Economics, Brock
University, 500 Glenridge Ave.
Vectors and Matrices
Lester M.K. Kwong
Created: August 6, 2004
This version: October 7, 2008
Simple Operations (+, , and ).
1
Economic models often involve a system of linear equations. For example,
in econometrics, the ordinary least squares (OLS) involv
Chapter 9
The Theory of Linear Equations
Lester M.K. Kwong
Department of Economics
Brock University
Version: 3.0.3.h
Compiled: July 22, 2013 at 5:00am
Copyright 2004-2013 Lester M.K. Kwong. Department of Economics, Brock
University, 500 Glenridge Ave., St
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 3
Due Date: Dec. 2, 2014 9:30am
Please note that according to the Undergraduate Calendar, plagiarism means presenting work
don
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 2 - Suggested Solutions
Due Date: November 6, 2014 9:30am
1. Prove that for all n N, if A is a n n triangular matrix then |A|
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 2
Due Date: November 6, 2014 9:30pm
Please note that according to the Undergraduate Calendar, plagiarism means presenting work
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 1 - Suggested Solutions
Due Date: September 25, 2014 9:30am
1. Suppose X is a partition of X. Define the relation:
R = cfw_(x,
ECON 3Q91
Mathematical Methods for Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2013
Final Examination - Suggested Solutions
Time: 3 Hours
This examination will not be deposited in the library reserve.
Section A: Definitions
ECON 3Q91
Mathematical Methods for Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2013
Final Examination
Time: 3 Hours
This examination will not be deposited in the library reserve.
Section A: Definitions
Define 8 of the follow
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Midterm Examination # 1 - Suggested Solutions
Time: 1 Hour 20 Minutes
Section A: Definitions
Define 4 of the following 5 terms in two se
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2013
Midterm Examination # 2
Time: 1 Hour 20 Minutes
Section A: Definitions
Define 4 of the following 5 terms in two sentences or less.
1. (
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2013
Midterm Examination # 2 - Suggested Solutions
Time: 1 Hour 20 Minutes
Section A: Denitions
Dene 4 of the following 5 terms in two senten