Math for Econ I,Homework Assignment 2
Due Friday, September 26th
New York University
From our textbook, read sections 4.9, 4.10, 5.1, 5.2, and 5.3.
Please write neat solutions for the problems below. Show all your work. If you only write the answer with n
Math for Econ I Homework Assignment 4
New York University
For Section 016: Due in class, *Thursday, October 8*
For Section 001: Due in Recitation, Friday, October 9
Please write neat solutions for the problems below. Show all your work. If you only write
Elasticity (7.7)
Trush, Math for Economics 1
April 7, 2015
Trush, Math for Economics 1
Elasticity (7.7)
Elasticity of demand: how does an increase in price aect the
demand for a product?
Relative change in price:
p
.
p
Relative change in demand:
q
.
q
% c
Implicit Dierentiation (7.1)
Trush, Calculus I
March 30, 2015
Trush, Calculus I
Implicit Dierentiation (7.1)
Motivation
Sometimes we arent given y as an explicit function of x.
x 2 + y 2 = 1,
y 3 + 4x 2 y = 10,
etc.
How do we nd y , if we cant even solve
Exponential and Logarithmic Fcns (6.10, 6.11)
Trush, Math for Economics 1
March 30, 2015
Trush, Math for Economics 1
Exponential and Logarithmic Fcns (6.10, 6.11)
Exponential Functions
Recall that if a > 1, the exponential function f (x) = ax is an
increa
Continuity (7.8)
Trush, Math for Econ 1
February 3, 2015
Trush, Math for Econ 1
Continuity (7.8)
Warm-up
Consider the function f graphed below.
limx4 f (x) and f (4) both exist, but arent equal.
(limx4 f (x) = 1.5, f (4) = 3). We had to lift our pen o
the
A variety of essential functions
Trush, Math for Econ 1
February 3, 2015
Trush, Math for Econ 1
A variety of essential functions
This PDF covers a variety of topics from chapters 4 and 5, along
with some basic terminology.
Cost
Revenue
Prot
Compound inter
Functions, and some applications
(4.1-4.5, 5.1 in MFE text; 1.1-1.2 in e-book)
Trush, Math for Econ 1
January 29, 2015
Trush, Math for Econ 1
Functions, and some applications(4.1-4.5, 5.1 in MFE text;
1.1-
Some prerequisites
The following topics are fair
Transforming graphs and functions; inverses
Trush, Math for Econ 1
February 3, 2015
Trush, Math for Econ 1
Transforming graphs and functions; inverses
Shifting graphs (5.1)
If we are given a function y = f (x), then to graph:
1
y = f (x) + c, shift the gr
Higher-Order Derivatives (6.9)
Trush, Math for Economics 1
March 30, 2015
Trush, Math for Economics 1
Higher-Order Derivatives (6.9)
2nd derivative
Dierentiate f (x) to get the 2nd derivative of f , written f (x).
Example: If f (x) = x 3 , then f (x) = 3x
Limits (6.5)
Trush, Math for Econ 1
February 3, 2015
Trush, Math for Econ 1
Limits (6.5)
In order to understand the concept of a derivative (sections 6.2
through 6.4), we must understand limits.
Trush, Math for Econ 1
Limits (6.5)
What is a Limit?
So far,
Math for Econ I,Homework Assignment 3
Due Friday, October 3
New York University
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.
1. (8 pts) A person is to
Continuity (7.8)
Jankowski, Math for Econ 1
September 22, 2014
Jankowski, Math for Econ 1
Continuity (7.8)
Warm-up
Consider the function f graphed below.
limx!4 f (x) and f (4) both exist, but arent equal.
(limx!4 f (x) = 1.5, f (4) = 3). We had to lift o
Math for Econ I Homework Assignment 8
New York University
For Section 016: Due in class, Tuesday, November 10
For Section 001: Due in Recitation, Friday, November 13
Please write neat solutions for the problems below. Show all your work. If you only writ
Math for Econ I Homework Assignment 5
New York University
For Section 016: Due in class, Tuesday, October 20
For Section 001: Due in Recitation, Friday, October 23
Please write neat solutions for the problems below. Show all your work. If you only write
Math for Econ I Homework Assignment 6
New York University
For Section 016: Due in class, Tuesday, October 27
For Section 001: Due in Recitation, Friday, October 30
Please write neat solutions for the problems below. Show all your work. If you only write
Math for Econ I Homework Assignment 6
New York University
For Section 016: Due in class, Tuesday, October 27
For Section 001: Due in Recitation, Friday, October 30
Please write neat solutions for the problems below. Show all your work. If you only write
Math for Econ I Homework Assignment 9
New York University
For Section 016: Due in class, Tuesday, December 1
For Section 001: Due in Recitation, Friday, December 4
Please write neat solutions for the problems below. Show all your work. If you only write
Rates of Change and Derivatives (6.1-6.4, 6.6)
Trush, Calculus I
February 3, 2015
Trush, Calculus I
Rates of Change and Derivatives (6.1-6.4, 6.6)
Overview
Key concept: f (a), called the derivative of f at a.
What it represents: The instantaneous rate of