Evaluating Definite Integrals
(9.2, 9.4 in MFE book; 5.3 in Stewart)
Math for Economics II
Math for Economics II
Evaluating Definite Integrals(9.2, 9.4 in MFE book; 5.3 in Stewar
We now learn how to d
Vectors (10.2, 10.3 of Stewart)
Math for Economics II
Math for Economics II
Vectors (10.2, 10.3 of Stewart)
Foreshadowing directional derivatives: beyond fx and fy
The contour diagram of f (x, y ) bel
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)
Fundamental Theorem of Calculus
(9.2 in MFE book; 5.4 in Stewart)
Math for Economics II
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
Multivariable Optimization: Lagrange Multipliers
(11.8 in e-book; 14.1-14.6 in MFE textbook)
Math for Economics II
Math for Economics II
Multivariable Optimization: Lagrange Multipliers (11.8 in e-boo
Integration by Substitution
(9.6 in MFE book, 5.5 in e-book)
Math for Economics II
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.
Wha
The Definite Integral
(9.2, 9.3 in MFE book; 5.2 in Stewart)
Math for Economics II
Math for Economics II
The Definite Integral(9.2, 9.3 in MFE book; 5.2 in Stewart)
As we saw at the end of last sectio
MATH-UA.213 Written HW5
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-UA.213 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-UA.213 Written HW4
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-UA.213 Written HW2
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-UA.213 Written HW6
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 Economics II, Written Assignment 1 (30 points)
Due Friday, September 18th, in recitation
Fall 2015
Please write neat solutions for the problems below. Show all your work. If you only write th
Condensed Review, Functions of Several Variables
(MFE text: Chapter 11)
Math for Economics II
September 3, 2015
Math for Economics II
Condensed Review, Functions of Several Variables(MFE text: Cha
The
Directional derivatives, gradients, tangent planes,
and dierentials (11.4, 11.6 of Stewart)
Math for Economics II
September 10, 2015
Math for Economics II
Directional derivatives, gradients, tangent p
Vectors (10.2, 10.3 of Stewart)
Math for Economics II
September 10, 2015
Math for Economics II
Vectors (10.2, 10.3 of Stewart)
How to compute fx and fy from a contour diagram
The contour diagram of f