Normal Distributions
B.Kallemov, Math for Economics 2
May 6, 2015
B.Kallemov, Math for Economics 2
Normal Distributions
Guess how many jelly-beans are in the jar?
B.Kallemov, Math for Economics 2
Normal Distributions
Guess how many jelly-beans are in the

Antiderivatives and Areas: Intro to Integration
(9.1, 9.2 in MFE book; 5.1 in Stewart)
B.Kallemov, Math for Economics II
03/23/15
B.Kallemov, Math for Economics II
Antiderivatives and Areas: Intro to Integration(9.1, 9.2 in MFE b
A function F is an antide

Directional derivatives, gradients, tangent planes,
and differentials (11.4, 11.6 of Stewart)
B.Kallemov, Math for Economics II
2/02/15
B.Kallemov, Math for Economics II
Directional derivatives, gradients, tangent planes, and differentials
Average rate of

Present and Future Values (10.3, 10.5 in e-book)
B.Kallemov, Math for Economics 2
April 15, 2015
B.Kallemov, 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, is the amount

Introduction to Differential Equations
(9.8, 9.9 in MFE book)
B.Kallemov, Math for Economics 2
April 27, 2015
B.Kallemov, Math for Economics 2
Introduction to Differential Equations(9.8, 9.9 in MFE book)
Differential equations allow us to find the general

Multivariable Optimization: Lagrange Multipliers
(11.8 in e-book; 14.1-14.6 in MFE textbook)
B.Kallemov, Math for Economics II
February 4, 2015
B.Kallemov, Math for Economics II
Multivariable Optimization: Lagrange Multipliers (11.8 in e-book
Tools from M

Integration by parts
(9.5 in MFE book; 6.1 in e-book
B.Kallemov, Math for Economics II
April 8, 2015
B.Kallemov, 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) are differentiable

Condensed Review, Functions of Several Variables
(MFE text: 11.1, 11.2, 11.3, 11.7)
B.Kallemov, Math for Economics II
01/26/15
B.Kallemov, Math for Economics II
Condensed Review, Functions of Several Variables(MFE text: 11.
There are comprehensive review

Vectors (10.2, 10.3 of Stewart)
B.Kallemov, Math for Economics II
01/28/2015
B.Kallemov, 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 ) below represents the le

Partial Fractions (6.3 in e-book)
B.Kallemov, Math for Economics 2
April 13, 2015
B.Kallemov, Math for Economics 2
Partial Fractions (6.3 in e-book)
Sometimes we have to integrate one polynomial divided by
another, e.g.
Z
5x 7
dx.
2
x 3x + 2
How do we sol