Math for Econ II Homework Assignment 1
New York University
Due in Recitation, Friday, February 12th
Please write neat solutions for the problems below. Show all your work. If you only write the answe
Quiz 2, Math for Economics II (10 pts)
New York University, Sylvester Eriksson-Bique
Show your work and justify your answers where appropriate. If you write the correct answer without sucient work,
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14.4 GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE
Math for Econ II Homework Assignment 2
New York University
Due in Recitation, Friday, February 19th
rcises and Problems for Section 14.4
cis
Math for Econ II Homework Assignment 2
New York University
Due in Recitation, Friday, February 19th
Please write neat solutions for the problems below. Show all your work. If you only write the answe
Math for Econ II Homework Assignment 3
New York University
Due in Recitation, Friday, February 26th
Please write neat solutions for the problems below. Show all your work. If you only write the answe
Math for Econ II Homework Assignment 3
New York University
Due in Recitation, Friday, February 26th
Please write neat solutions for the problems below. Show all your work. If you only write the answe
Math for Econ II Homework Assignment 7 - Solutions
New York University
Due in Recitation, Friday, April 8th
Please write neat solutions for the problems below. Show all your work. If you only write t
Math for Econ II Homework Assignment 8 - Solutions
New York University
Due in Recitation, Friday, April 15th
Please write neat solutions for the problems below. Show all your work. If you only write
Antiderivatives and Areas: Intro to Integration
(9.1, 9.2 in MFE book; 5.1 in Stewart)
Math for Economics II
Math for Economics II
Antiderivatives and Areas: Intro to Integration(9.1, 9.2 in MFE b
A f
Integration by parts
(9.5 in MFE book; 6.1 in e-book
Math for Economics II
Math for Economics II
Integration by parts(9.5 in MFE book; 6.1 in e-book
The Magic Formula
Product rule: If u(x) and v (x) a
Lecture 4b
Warm-Up Problem (Clicker)
2 |x|
.
2+x
Which one of the of the following is lim f (x)?
Suppose that f (x) =
x2
A.
B.
C.
D.
E.
1
1
0
The limit does not exist.
None of the above
Announcements
Lecture 5a
Warm-up Problem (Clicker)
In which one of the following intervals is the equation
x5 x2 = 4
guaranteed to have a solution? You must be able to justify your choice
using the IVT.
A. [2, 1]
B
MATH-UA.212 Written HW3
25 points total.
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 impor
Math for Econ II, Written Assignment 8 (28 points)
Due Friday, April 21
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not
Worksheet 1, Math for Economics II
Multivariable review, linearization, tangent planes, gradients
1. The average price of large cars getting low gas mileage (gas guzzlers) is x and the average price o
Tentative Calendar, Math-UA 212, Spring 2017 (Mon-Wed)
EC denotes Essential Calculus: Early Transcendentals, 2nd ed. by Stewart.
EM denotes Essential Mathematics for Economic Analysis, 4th ed. by Sy
Math for Econ II, Written Assignment 10 (28 points)
Due Friday, May 5, 2017
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will
Math for Econ II, Written Assignment 8 (30 points)
Due Friday, December 4th
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will
Worksheet 2, solutions
Multivariable optimization using Lagrange multipliers
1. Consider f (x, y) = 2xy under the constraint 5x + 4y = 100. Does f have a minimum value subject to the
constraint? Find
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Introduction to Differential Equations
(9.8, 9.9 in MFE book)
Math for Economics 2
Math for Economics 2
Introduction to Differential Equations(9.8, 9.9 in MFE book)
Differential equations allow us to
Present and Future Values (10.3, 10.5 in e-book)
Math for Economics 2
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
Examples of Historic Sites/Societies using Wordpress.com
1. Banting House NHSC: Suburbia Theme
https:/bantinghousenhsc.wordpress.com
2. The Edinburgh Historical Society: The Misty Lake Theme (my fav)
Directional derivatives, gradients, tangent planes,
and dierentials (11.4, 11.6 of Stewart)
Munn, Math for Economics II
Munn, Math for Economics II
Directional derivatives, gradients, tangent planes,
Optimization for functions of multiple variables
(Ch. 13 in MFE textbook; Section 11.7 in e-book)
Munn, Math for Economics I
Munn, Math for Economics I
Optimization for functions of multiple variables
Invertible Matrices, Determinants, and Cramers
Rule (16.1-16.8)
Munn, Math for Economics II
Munn, Math for Economics II
Invertible Matrices, Determinants, and Cramers Rule (16.1-16.8)
Consider
3x1 + 4
Multivariable Optimization: Lagrange Multipliers
(11.8 in e-book; 14.1-14.6 in MFE textbook)
Munn, Math for Economics II
Munn, Math for Economics II
Multivariable Optimization: Lagrange Multipliers (1
Matrices and Systems of Equations
Munn, Math for Economics II
Munn, Math for Economics II
Matrices and Systems of Equations
Systems of equations
In the past weve solved equations like:
x + y = 5,
3x y
Math for Econ II, Written Assignment 7 (28 points)
Due Friday, April 10
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not
Math for Econ II, Written Assignment 9 (28 points)
Due Friday, April 24
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you will not