Graduate Mathematics HT2016
Lectures 1-4
MATRIX ALGEBRA
Charles Nadeau
E-mail: Charles.Nadeau@economics.gu.se
Office: D-604
Office Hours: by appointment
Department of Economics, University of Gteborg
Autumn 2016
General Course Information
Course moves qui
Mathematics
Problem Set 3
Calculus and optimization with multi-variables
Lecturer: Dawei Fang
Tutor: Andrea Martinangeli
This problem set includes two parts. Part 1 includes basic problems. It is very important that you know how
to solve these problems. P
Mathematics
Problem Set 3
Calculus and optimization with multi-variables
Lecturer: Dawei Fang
Tutor: Andrea Martinangeli
Question 1
(a) Find all the first- and second-order partial derivatives of g(p, q, r) = q2 e2p+1 + rq (Answer: g p = 2q2 e2p+1 ,
gq =
Mathematics
Problem Set 5
Probability and Statistics
Lecturer: Dawei Fang
Tutor: Andrea Martinangeli
Question 1
A urn contains 1 black ball, 2 white balls and 7 red balls. You draw one ball at random. A random variable is
defined:
30 if black
X = 10 if wh
Mathematics
Problem Set 5
Probability and Statistics
Lecturer: Dawei Fang
Tutor: Andrea Martinangeli
This problem set includes two parts. Part 1 includes basic problems. It is very important that you know how
to solve these problems. Please practice with
Mathematics
Problem Set 4
Integrals
Lecturer: Dawei Fang
Tutor: Andrea Martinangeli
Question 1
Evaluate the definite integrals:
Z 1
2
(x 3x + 2)dx,
0
Z 2
2
(x 3x + 2)dx,
1
Z 2
(x2 3x + 2)dx.
0
1
Explain the answers you obtain by sketching the graph of y =
Mathematics
Problem Set 2
Calculus and optimization with one variable
Lecturer: Dawei Fang
Tutor: Andrea Martinangeli
This problem set includes two parts. Part 1 includes basic and pure math problems. It is very important that
you know how to solve these
Mathematics
Problem Set 4
Integrals
Lecturer: Dawei Fang
Tutor: Andrea Martinangeli
This problem set includes two parts. Part 1 includes basic problems. It is very important that you know how
to solve these problems. Please practice with them and refer to
GM0702: Mathematics
Problem Set 1: Matrix Algebra
Lecturer: Charles Nadeau
Teaching Assistant: Andrea Martinangeli
Review Class: September 2, 10.00-13.00; Room: B23
1. Let A =
, B =
, x =
and y =
(a) Compute the following Dj matrices (if possible): D1 = A