Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
Assignment 3
Due to February 7 5, before class.
1. Which of the following pairs or triplets of vectors are linearly independent? Explain.
a) (2,1) (1,2) b) (2,1) (4,2) c) (1,1,0) (0,1,1) d) (1,1,0) (0,1,1) (1,0,1)
2. Determine whether or not each of the
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
HA # 13
Due to Monday, April 16, 5 PM. (Put in my mailbox in office 222, Val. bld)
(Problem # 6 about iPhones will bring you 1 extra point if solved correctly ( and
graphs are attached).
1. Topic: Contour plot; level lines; partial derivative.
2.
a)
b)
c)
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
HA # 14
Due to Wednesday , May 2, 5 PM, before our tutorial starts. (Put in my mailbox
in office 222, Val. bld)
Part 1 . Unconstrained optimization.
1.
For each of the following functions, find the critical points and classify these as local
max, local mi
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
HA # 12
Due to Friday , 5 PM , to my mailbox at room 222, Economics Department.
1. Solve the following linear differential equations:
A)
xy ' y =x 2
2
1
solved in class
B)
dy 5
+
y = 2
dt 50 t
C)
dy 1
+ y = 3x + 4
dx x
E)
y ' =cos x
y
F)
y '+ xy =2 x
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
Home Assignment 9.
Submit on Friday ,
March 9, before tutorial at 11 AM.
In our regular class.
1. Transportation Problem: Find the optimal transportation plan and the minimum cost. To
find initial BFS use the minimum cost entry method.
Also solve the foll
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
Assignment 11.
Due to Thursday before class on March 29.
1. Find the revenue function R ( Q ) when the marginal revenue is
R( Q ) = 300 0.5Q
and no revenue result at a 0 production level.
Assume we wish to find the relation between total cost (y) and quan
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
Home Assignment 10.
Submit on Tuesday,
March 27, before class.
Find derivatives:
1. y = 5 x log 2 x
2. 3 2 x 2 3 x
2x + 1
3. y = cos
2 3x
x
4. y = sin 8
8
x2
e
5. y =
x3
5
Use properties of integration and table integrals to find the following integral
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
Assignment 2
Due to February 2, before class.
1. Solve the following systems of equations using inverse matrix. Use GaussJordan method when
determining the inverse:
a) 2x1+x2=5
b) 2x1+x2 =4
x1+x2=3
6x1+2x2+6x3=20
4x13x2+9x3=3
2. Inputoutput Analysis A
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
Assignment 1
Due to January 24, before class.
2 3 1
2 1
1 2
T
TT
1. Let A =
0 1 2 , B = 1 1, C = 3 1 . Verify that ( BA) = A B . Verify that BC CB .
2 3
2 3 1 4
1 0
2. Find 0 1 2 1
=?
5 0 6 0 0 1
1 1
3. Show that if AB is defined, then B T A
Kazakhstan Institute of Management, Economics and Strategic Research
Quantitative Methods for Economics
BAE 3103

Spring 2012
CCNA Discovery
Networking for Home and Small Businesses
Lab 6.2.1 Observing DNS Name Resolution
Objectives
Observe the conversion of a URL to an IP address.
Observe DNS lookup using the nslookup command.
Background / Preparation
Domain Name System (DNS) i