MATH 230: FALL 2014, LECTURE 4
JONATHAN HOLLAND
Last time: Approximate integration.
1. When the limit of integration is infinite
An example of an improper integral is
1
1
dx.
x2
To do this, we rst compute the denite integral
b
1
1
dx = x1
x2
b
1
b
(1/x2 )
MATH 230: SUMMER 2014, LECTURE 5
JONATHAN HOLLAND
1. Comparison of improper integrals
Sometimes it is dicult to nd the exact value of an improper integral, but it
may be possible to determine if it converges or diverges.
1
1
x3 +5
Example.
dx (compare wi
MATH 230: FALL 2014, LECTURE 1: ABOUT THE COURSE
JONATHAN HOLLAND
About the course: The primary goal of this course is to learn how to recognize
when a scientic problem can be formulated and solved using the techniques of
calculus. Calculus is very much t
MATH 230: FALL 2014, LECTURE 2
JONATHAN HOLLAND
Last time, we looked at various techniques of integration: specically integration
by substitution and integration by parts. I also described how to integrate powers
of sine and cosine. Today I will introduce
MATH 230: FALL 2014, LECTURE 3
JONATHAN HOLLAND
We have discussed various techniques of integration:
Substitution
Parts
Trigonometric substitution
Partial fractions
However, the vast majority of integrals cannot be analytically computed in terms
of el
MAT_130_Fall 2012
Test 1 Review outline
To prepare for this test you need to understand the content of chapters 0, 1, and 2.
Please read carefully the text, paying special attention to definitions, theorems and problems.
On the test you will be asked to s
Texts and Contexts: Essay #3 Explanation and Significance
Rough Draft: Due Monday April 29, the last day of class
Final Draft: Due Friday May 3rd at the final exam
For this essay you will examine a question in either Mrs. Dalloway or Things Fall Apart
and
Prompt for Essay #2
Rough Draft due Wednesday April 3
Final due Monday April 8
For essay #2 you will write on either Blake or Austen
Blake Innocence and Experience
For this essay you will compare 2 poems one from Songs of Innocence and one from
Songs of E
Grant Cole
Case 2 Dr. Wright
3/23/12
1.
Customers use a variety of components in order to determine service quality.
Reliability is the capacity to perform a service dependably, accurately, and
consistently (LHM 189). This is considered to be the most imp
Grant Cole
Case 1 Vermont Teddy Bear
1/27/2012
1.
Corporate Social Responsibility (CSR) is defined as a businesss concern for societys
welfare, demonstrated by managers who consider the long-range best interests of the company
as well as the companys rela
Chapter 1
Exchange Conditions
1. at least 2 parties
2. each has something of value to other
3. each capable of communication and delivery
4. each free to accept/reject exchange
5. each believes it appropriate to deal with other
Marketing Management Philos
Analytic Geometry and Calculus III, Fall 2012
Exam I, Math 0240, Section 11300
Name:
Show all work clearly and in order.
1. (12 points) Find an equation of the plane through the points (5, 1, 2), (2, 2, 2) and
(1, 5, 3).
2. (12 points) Find the length of