Math 274 Section 1
Calculus II
MWF 10:00am-12:45pm
YR-123
T, Th
10:00am-12:45pm
YR-124
1
Math 274 Calculus II
Agenda/Announcements/Reminders
for 6/1:
Section 6.1 Webwork HW due Thursday 6/1 at 11:59pm
Section 6.2, 6.3 Webwork HW due Friday 6/2 at
11:59p
Math 274 Section 1
Calculus II
MWF 10:00am-12:45pm
YR-123
T, Th
10:00am-12:45pm
YR-124
1
Math 274 Calculus II
Agenda/Announcements/Reminders for 6/8:
Redemption (ends 2 days after the due date)
Section 7.2
Webwork HW due Thursday 6/8 at
11:59pm
Section
Math 274 Section 1
Calculus II
MWF 10:00am-12:45pm
YR-123
T, Th
10:00am-12:45pm
YR-124
1
Math 274 Calculus II
Agenda/Announcements/Reminders for 6/12:
Redemption (ends 2 days after the due date)
Section 7.4
Webwork HW due Monday
6/12 at
11:59pm
Section
Math 274 Section 1
Calculus II
MWF 10:00am-12:45pm
YR-123
T, Th
10:00am-12:45pm
YR-124
1
Math 274 Calculus II
Agenda/Announcements/Reminders for 6/7:
Redemption (ends 2 days after the due date)
Section 7.2
Webwork HW due Thursday 6/8 at
11:59pm
Section
Math 274 Section 1
Calculus II
MWF 10:00am-12:450pm
YR-123
T, Th
10:00am-12:450pm
YR-124
1
Math 274 Calculus II
Agenda/Announcements/Reminders
for 5/30:
Section 6.1 Webwork HW due Thursday 6/1 at 11:59pm
Section 6.2, 6.3 Webwork HW due Friday 6/2 at
11:
Math 274 Section 1
Calculus II
MWF 10:00am-12:450pm
YR-123
T, Th
10:00am-12:450pm
YR-124
1
Math 274 Calculus II
Agenda/Announcements/Reminders
for 5/30:
Section 6.1 Webwork HW due Thursday 6/1 at 11:59pm
Section 6.2, 6.3 Webwork HW due Friday 6/2 at
11:
Math 274 Calculus II
Exam 1 on Friday 6/9 covering Sections 6.1-6.5, 7.17.4.
You are allowed to use a graphing calculator and a
Cheat Sheet i.e a standard size sheet with notes &
formulas on the front (not back).
Review Session will be held on Wednesda
1.
2.
3.
4.
What is the best estimate of the population average sleep time?
What is the standard error of the estimate?
What is the 95% CI for the population mean sleep time?
Would it be reasonable to conclude that mean sleep time is 7 hours?
5. Suppose t
TENTATIVE COURSE SCHEDULE AND DUES WITH TOPICS
All assignments must be submitted by 11:59 p.m. od the due date to receive credit.
Expect 11 hours of outside classroom work per week for the course
Week
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Date
1/3
American Revolution
Origins of the American Revolution
Colonists were _British Citizens
_.
Magna Carta
Glorious Revolution (_)
Oppressive rulers could be overthrown
English Bill of Rights
John Locke
_natural rights_
French and Indian War, (1754-1763)
ago; beA/Lj
MATH 273 SPRING 2017
Exam 1
Print your name:
Directions: You have 60 minutes to complete this exam. No books, notes, calculators, etc.
are allowed. Show all work for full credit. The exam is out of 50 points. Good luck! 1. (5 pts total;
1. (5 pts total; 1 pt each) Clearly write True or False under each statement. No expla-
nation is necessary.
(a) lim sin[:r + cos(2w 6)] = sin(4 + cos 2).
t>4
(b) A function may have two horizontal asymptotes.
. cfw_th
(c) If f is continuous at CC = 0, th
MATH 273
Spring 2017
Practice Exam 1
Directions: It is recommended to treat this practice exam as if it were the real exam:
60-minute time limit; no books, notes, calculators, etc.; show all work. The practice exam
is out of 50 points.
1
1. (5 pts total;
Calculus 2 Midterm
Integrals:
m
n
Integrating: sin ( x ) cos ( x ) dx
1. If either m or n is odd (1 or both), preserve 1 factor of
sin(x) or cos(x) respectively (if both are
odd, you choose; otherwise you would use for the one with the
odd power) then use
Santa Rosa Jewelry Case
Tiffany Nadeau established and ran a small workshop that manufactured original design quality
jewelry. What began as a hobby for sale in craft shows grew into a small on-line business.
Later, it became a manufacturer for upscale je
1
Chapter 7: Functions of Random Variables
7.1 Introduction
As we observed in Chapter 6, many situations we wish to study produce a set of random
variables, X1, X2, , Xn, instead of a single random variable. Questions about the
average life of components,
1
Lecture 1. Transformation of Random Variables
Suppose we are given a random variable X with density fX (x). We apply a function g
to produce a random variable Y = g(X). We can think of X as the input to a black
box, and Y the output. We wish to nd the d
TRANSFORMATIONS OF RANDOM VARIABLES
1. I NTRODUCTION
1.1. Definition. We are often interested in the probability distributions or densities of functions of
one or more random variables. Suppose we have a set of random variables, X1, X2 , X3 , . . . Xn , w
2
Functions of random variables
There are three main methods to find the distribution of a function of
one or more random variables. These are to use the CDF, to transform the pdf directly or to use moment generating functions. We
shall study these in tur
11 TRANSFORMING DENSITY FUNCTIONS
It can be expedient to use a transformation function to transform one probability density
function into another. As an introduction to this topic, it is helpful to recapitulate the
method of integration by substitution of
Transforming a Random Variable
Our purpose is to show how to find the density function fY of the
transformation Y = g(X) of a random variable X with density
function fX.
Let X have probability density function (PDF) fX(x) and
let Y = g(X).
We want to find
Method of Transformations
Goal:
To find the probability distribution of U = h(X1, . . . , Xn).
Method 2: The Method of Transformations
This method applies to the situation in which the
function h is either increasing or decreasing.
Theorem: Let X have pr
1
Discrete Random Variables
For X a discrete random variable with probabiliity mass function fX , then the probability mass function fY
for Y = g(X) is easy to write.
X
fY (y) =
fX (x).
xg 1 (y)
Example 2. Let X be a uniform random variable on cfw_1, 2, .
Transformations
Dear students,
Since we have covered the mgf technique extensively already, here we only review the cdf
and the pdf techniques, first for univariate (one-to-one and more-to-one) and then for
bivariate (one-to-one and more-to-one) transform
Topic for review
Transformation methods
Cumulative distribution function approach
Probability density function formula approach
Exercise #6.23 (a),(c)
Exercise #6.34
Guideline/skill of doing a proof
Moment Generating Function
Exercise #6.46
Hint for homew
Kevin Gladstone
Ms. Duensing
British Literature I
2 February 2012
The Invisible Threat
The Invisible Man was written by H.G. Wells in 1897. The book is about how a man
named Griffin turns himself invisible. He finds a town where he sets up in to find a wa