Topic 5: Stochastic Growth and Real Business Cycles
Yulei Luo
SEF of HKU
October 17, 2017
Luo, Y. (SEF of HKU)
Macro Theory
October 17, 2017
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Lag Operators
The lag operator (L) is dened as
Lxt =
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Week 1- chapter 1
This week we read chapter one which is about graphs of
equations linear equations in one variable, modeling with
linear equations, quadratic equations and applications,
complex numbe
Running head: COLLEGE ALGEBRA WEEK 2 REFLECTION ASSIGNMENT
Math college algebra - Week 2 reflection assignment
03 11, 2017
1
COLLEGE ALGEBRA WEEK 2 REFLECTION ASSIGNMENT
2
In the second chapter of the
Running head: COLLEGE ALGEBRA WEEK 1 REFLECTION ASSIGNMENT
Math college algebra - Week 1 reflection assignment
03 08, 2017
1
COLLEGE ALGEBRA WEEK 1 REFLECTION ASSIGNMENT
2
In the first chapter of the
15-20% Financial Sector
(Money and Banking)
A. Money, banking, and financial markets
1. Definition of financial assets: money, stocks, bonds
2. Time value of money (present and future value)
3. Measur
10-15% National Income and Price
Determination
A. Aggregate demand
1. Determinants of aggregate demand
2. Multiplier and crowding-out effects
B. Aggregate supply
1. Short-run and long-run analyses
2.
d
ln sec u tan u
du
d
ddu ln sin u cot u
ln sec u tan u sec u
du
d
ln csc u - cot u csc u
d duau
e aeau
du
d
a u a u ln a
du
d
d
1
sin -1 u
arcsin u
du
du
1-u 2
d
d
1
tan -1 u
arctan u
du
d
FACULTY OF SCIENCE
Department of Mathematics and Statistics
Mathematics 267
University Calculus II
Calendar Description: H(3-1T-1.5)
Sequences and series, techniques of integration, double integration
UNIVERSITY OF REGINA
DEPARTMENT OF MATHEMATICS AND STATISTICS
Mathematics 111 Calculus II
September, 2017
COURSE OUTLINE
INSTRUCTOR:
Dr. Fernando Szechtman
EMAIL:
fernando.szechtman@gmail.com
OFFICE:
Macroeconomic Theory, Fall 2013
SEF, HKU
Instructor: Dr. Yulei Luo
October 2013
Problem Set 2 (Due on Friday, October 11)
1. [10 points] Consider the following Ramsey-Cass-Koopmans model with fiscal p
Macroeconomic Theory, Fall 2013
Instructor: Dr. Yulei Luo
SEF, HKU
October 2013
Suggested Solutions to Problem Set 2
1. [10 points] Consider the following Ramsey-Cass-Koopmans model with scal policy.
Macroeconomic Theory, Fall 2014
Instructor: Dr. Yulei Luo
SEF, HKU
October 2014
Suggested Solution to ECON6012: The Midterm Exam
1. [26 points] Suppose that a rm facing the market interest rate r has
Macroeconomic Theory, Fall 2013
Instructor: Dr. Yulei Luo
SEF, HKU
October 2013
ECON6012: The Midterm Exam [Total Score: 60 Points]
1. [24 points] Suppose that a rm facing the market interest rate r h
RNy, econ4160 autumn 2013
Lecture note 1
Reference: Davidson and MacKinnon Ch 2. In particular page 57-82.
Projection matrices
The matrix
0
1
M = I X(X X)
X0
(1)
is often called the residual maker. Th
The copyright to this article is held by the Econometric Society,
http:/www.econometricsociety.org. It may be downloaded, printed and reproduced only for
personal or classroom use. Absolutely no downl
COURSE OUTLINE
Winter 2017
Prepared by Instructor enis Onen m
Approvedvaead WWI
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School of Engineering ENE-tit?
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1. Calendar Information
ENGG 513 The Role and Responsibili
d
ln sec u tan u
du
d
ln sin u cot u
ddu
ln sec u tan u sec u
du
d
ln csc u - cot u csc u
ddu au
e ae au
du
d
a u a u ln a
du
d
d
1
sin -1 u
arcsin u
du
du
1-u 2
d
d
1
tan -1 u
arctan u
du
Nombre de la materia
Estadstica y probabilidad
Nombre de la Licenciatura
Ing. Industrial y Administracin
Nombre del alumno
Oscar Daniel Espinoza cebreros
Matrcula
000031331
Nombre de la Tarea
Muestreo
University of Newcastle
School of Mathematical and Physical Sciences
MATH2320 - Linear Algebra
Workshop 9 (Week 10)
The textbook is Linear Algebra Done Right by Sheldon Axler, 2nd ed or later. This
Wo
Questions which review material from Week 5:
1. Consider the operator T L(R2 ) defined by
T (x, y) = (2x + 3y, 4y).
(a) Show that T has an upper-triangular matrix representation with respect to the st
Questions which review material from Week 11:
1. Let T L(R4 ) have the matrix representation
1 1
1 1
1 1 1 1
M(T ) =
1 1 1 1 ,
1 1 1
1
with respect to the standard basis.
(a) If T self-adjoint? Is T
Questions which review material from Week 4:
1. Consider the operator T L(P2 (R) defined by
T (p(x) = p(x) + xp0 (x).
(a) Find null T and use this to conclude that T must be invertible.
(b) Define the
Question which reviews material from Week 7 (Friday):
Recall that if V is a vector space over a field F, then an inner product on V is a function that
takes each ordered pair (v, w) of elements of V t
Questions which review material from Week 2:
1. Let P3 (C) be the vector space of complex polynomials with degree less than or equal to 3.
(a) Show that the list of vectors B = x 1, (x 1)2 is linearly
Recall: a Vector Space V = (S, +, ) comprises a set S of objects we call vectors, a field F (such as
the real numbers R or complex numbers C), an operation + such that the sum of any two vectors
u and
Questions which review material from Week 8 (Monday) and Week 9 (Friday):
1. Let V be a finite-dimensional inner-product space. Let U be a subspace of V , and (e1 , . . . , em )
an orthonormal basis o
Vocabulary for Linear Algebra definitions. Find, create, and access Linear Algebra, mathematics, Applied Mathematics, Addition flashcards with Course Hero.