ECON/AMS 11A
Winter 2010
HW assignment #1
Due Monday, 1/11
Comment: You can read SN 2 on the review page to refresh your memory about solving equations and systems of equations and you can read SN 3 for a refresher on the exponential and logarithm functio
AMS/ECON 11A
Quiz 7
Nov. 21, 2012
This a take-home quiz. Study the material (Sections 13.1, 13.2); take the quiz at
home, at your leisure; grade yourself based on the solutions (to appear); keep the
quiz for review/further study (i.e., do not turn it in).
AMS/ECON 11A
Quiz 3 Solutions
October 19, 2012
Compute the derivatives of the following functions. Show your work.
9
1. (3 pts) f (x) = 2x3 + 5x
x
`
d 3
1/2
f (x) =
2x + 5x 9x
= 2 3x2 + 5 9 1 x3/2
2
x
2
f (x) = 6x + 5 +
9 3/2
x
2
3x2 + 5
2. (4 pts) y =
5
AMS/ECON 11A
Quiz 5 Solutions
Nov. 7, 2012
1. The short-term production function for ACME Widgets is given by
p
3
q = 12 2 2 5
where q is monthly output, measured in 100s of widgets, and
input measured in $1,000 s.
is monthly labor
(a) (4 pts) Find the la
AMS/ECON 11A
FALL 2009
Faux Final Exam
2-8 December 2009
Instructions
Please try to mimic exam conditions when you do this (see the front page of your other exams to know
what this means).
I have instructed the TAs and tutors not to do the problems for
Modified Supplemental
Instruction (MSI)
AMS 11A:
Mathematical Methods for
Economists
MSI Homepage: http:/eop.sa.ucsc.edu/MSI/
What is MSI?
MSI provides an opportunity for students to learn together in small groups led by advanced students.
The MSI sessi
Econ 11A
Tu Th 9-12:30pm
Jack Baskin 372
Instructor: Raj Sengupta
Summer 2009
UC Santa Cruz
Econ 11A: Mathematical Methods for Economists, 1
Course Overview
Econ 11A- Mathematical Methods for Economics, I is designed to provide an
introduction to differen
ucsc
econ/ams 11b Review Questions 6
fall 2008
Implicit dierentiation and Taylor polynomials
1. Use implicit dierentiation to nd the indicated derivative at the given point. dy at the point (1, 2) on the graph of the equation x3 y +2xy 3 4x2 y 2 = 2. dx d
ucsc
supplementary notes
ams/econ 11a
Modelling Economic Variables
c 2010 Yonatan Katznelson
1.
Mathematical models
The two central topics of AMS/Econ 11A are dierential calculus on the one hand, and its applications to business and economics on the other
ucsc
supplementary notes
ams/econ 11a
Exponential and logarithm functions
c 2010 Yonatan Katznelson
The material in this supplement is assumed to be mostly review material. If you have never studied exponential and/or logarithm functions before then you s
ucsc
supplementary notes
ams/econ 11a
Continuous Functions, Smooth Functions and the Derivative
c 2010 Yonatan Katznelson
1.
Continuous functions
One of the things that economists like to do with mathematical models is to extrapolate the general behavior
ucsc
supplementary notes
ams/econ 11b
Percentage Change and Elasticity
c 2008, Yonatan Katznelson
1.
Relative and percentage rates of change
The derivative of a dierentiable function y = f (x) describes how the function changes. The value of the derivativ
ucsc
supplementary notes
ams/econ 11a
Taylor polynomials
c 2008, Yonatan Katznelson
1.
Introduction
The most elementary functions are polynomials because they involve only the most basic arithmetic operations of addition and multiplication. Polynomials ar
UCSC
AMS/ECON 11A
Supplemental Notes # 6
Elasticity
c 2006 Yonatan Katznelson
1.
Relative and percentage rates of change
The derivative of a differentiable function y = f (x) describes how the function changes.
The value of the derivative at a point, f 0