MATH-UA.211 Written HW 7
Due: Friday, November 4 or Tuesday, November 8 during your recitation
Write full, clear solutions to the problems below. It is important that the logic of how you solved these problems
is clear. Although the final answer is import
Intermediate Microeconomics (with T. Sadzik)
Preparation for the Second Midterm
Read Sections 7.1-7.4 (ignore elasticity issues), 8.1-8.2, 9.1-9.5 (ignore
const.incr/decr cost issues), 10.1-10.3, 11.1-11.6
Go over the concepts that we learned in class and
Fundamental Theorem of Calculus
(9.2 in MFE book; 5.4 in Stewart)
Jankowski, Math for Economics II
April 12, 2015
Jankowski, Math for Economics II
Fundamental Theorem of Calculus(9.2 in MFE book; 5.4 in Stewa
Example 1
Let
f (t) =
1
2t
4 t2
if 0 t 1
if 1
Integration by Substitution
(9.6 in MFE book, 5.5 in e-book)
Jankowski, Math for Economics II
April 7, 2015
Jankowski, Math for Economics II
Integration by Substitution(9.6 in MFE book, 5.5 in e-book)
Warm-Up
Lets find
Z
2
2xe x dx.
What we CANT do:
R
R
R
Evaluating Definite Integrals
(9.2, 9.4 in MFE book; 5.3 in Stewart)
Jankowski, Math for Economics II
March 26, 2015
Jankowski, Math for Economics II
Evaluating Definite Integrals(9.2, 9.4 in MFE book; 5.3 in Stewar
We now learn how to do definite integra
Introduction to Differential Equations
(9.8, 9.9 in MFE book)
Jankowski, Math for Economics 2
April 30, 2015
Jankowski, Math for Economics 2
Introduction to Differential Equations(9.8, 9.9 in MFE book)
Differential equations allow us to find the general f
Leontief Input-Output Model (16.9)
Jankowski, Math for Economics II
March 10, 2015
Jankowski, Math for Economics II
Leontief Input-Output Model (16.9)
Basic Setup
Consider an economy with n sectors. Their outputs x1 , x2 , ., xn
are listed as a column vec
Antiderivatives and Areas: Intro to Integration
(9.1, 9.2 in MFE book; 5.1 in Stewart)
Jankowski, Math for Economics II
March 24, 2015
Jankowski, Math for Economics II
Antiderivatives and Areas: Intro to Integration(9.1, 9.2 in MFE b
A function F is an an
Present and Future Values (10.3, 10.5 in e-book)
Jankowski, Math for Economics 2
April 21, 2015
Jankowski, Math for Economics 2
Present and Future Values (10.3, 10.5 in e-book)
Present vs. Future Values
The future value, B, of a payment P,
Jankowski, Math
Math for Econ II, Written Assignment 5 (28 points)
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your name and recitation section number.
Staple
Partial Fractions (6.3 in e-book)
Jankowski, Math for Economics 2
April 17, 2015
Jankowski, Math for Economics 2
Partial Fractions (6.3 in e-book)
Integrate one polynomial divided by another, e.g.
Z
5x 7
dx.
x 2 3x + 2
How? Factor the denominator and turn
Quiz 6
MFE II, Section 006, Fall 2016
Recitation Section:
Name:
Netid:
Problem 1.(5 points.)
Solve the following initial value problem. Give your answer in explicit form.
y 0 + 9ey+3x = 0
y(0) = 0
Problem 2.(5 points.)
Find the general solution to
dy
+ y
CHAPTER6
PRODUCTION
EXERCISES
4. A political campaign manager must decide whether to emphasize television
advertisements or letters to potential voters in a reelection campaign. Describe the
production function for campaign votes. How might information
Microeconomics I, IUPNA
Chapter 7. Competitive Markets: Applications
Problem Set
1. Let us assume that the US gasoline market has the following demand and supply curves
Qd = 10 0.5Pd
Qs = -2 + Ps when Ps 2 and Qs = 0 when Ps < 2,
where quantities represen
Lecrw Vg , 8 . CD
dTmm-mpn, Im/meow yo/bra,
DZFFERE/VTMTLM/ X ;
DEW" Mz CM] _> P xTw any x .14 MM , define ;
WW b x
.cfw_7x
I L - 2 4' K/ 2 + z '
WQ 01% we f (A) / ifxi%:_x_. Provole 11$ emu
H. / .
We cfw_Maa 0199005016 WW4 the ned"; f, a /MWV f I val
MATH-UA.211 Written HW 3
Due: Tuesday, October 4 or Friday, October 7 during your recitation
Write full, clear solutions to the problems below. It is important that the logic of how you solved these
problems is clear. Although the final answer is importan
MATH-UA.211 Written HW 8
Due: Friday, November 18 or Tuesday, November 22 during your recitation
Write full, clear solutions to the problems below. It is important that the logic of how you solved these problems
is clear. Although the final answer is impo
MATH-UA.211 Written HW 6
Due: Friday, October 28 or Tuesday, November 1 during your recitation
Write full, clear solutions to the problems below. It is important that the logic of how you solved these problems
is clear. Although the final answer is import
MATH-UA.211 Written HW 5
Due: Friday, October 21 or Tuesday, October 25 during your recitation
Write full, clear solutions to the problems below. It is important that the logic of how you solved these problems
is clear. Although the final answer is import
Math for Economics II
Midterm 1, Version A, Page 7 of 11
October 6, 2016
[18 points] 6. Let
f (x, y) = 2x2 + 3y 2
4x
5.
Find the maximum and minimum of f (x, y) on the domain x2 + y 2 16 if they exist.
Indicate at what points the maximum and minimum occur
Math for Econ II, Written Assignment 6 (28 points)
Due Friday, October 24
Jankowski, Fall 2014
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not be given any credit.
Write your