Econ 415/615-01
1.
Mathematical Economics I
Problem Set III
2 2, 3 3 matrix, determinants and Cramer's rule
Lau
Calculate the followings:
a)
b)
1 3 4 7
4 5 3 2
3 4 1 7
4 3 2 3
c)
d)
2
3
Econ 415/615-01
Mathematical Economics I
Problem Set I
Lau
One-variable calculus
1
c)
y f ( x) 3x5 2 x 0.2
ln( x 1)
y f ( x)
x
3
y f ( x) x ax 2 e2 x
d)
y f ( x) 2 x 2 ( x 2 ax 0.5 ) 2 2ax 2.5
a)
b)
Econ 415/615-01 Mathematical Economics I
Instructor:
Fall 2016
Prof. Man-lui Lau (R 6:309:15 pm)
Office:
Cowell 404
Office Hrs: T and R 4-6 pm or by appointment
Phone #:
415-422-6730 (office)
Email:
L
Econ 415/615 Mathematics for Economists
Lecture Notes
I.
Lau
Economic application of one-variable calculus
$
TR2
the slope of this tangency line is the MR @ Q1
TR1
TR
Q
Mathematically, MR lim
Q 0
MR
Econ 415/615-01
Mathematical Economics I
Problem Set II
Lau
Multi-variable calculus
1.
2.
Find the partial derivatives of the following functions:
y f ( x, z ) x 2 z 3 ln( x 1) e3 z
a)
b)
y f ( x, z )