Choose one of your classmates posts and calculate a rough estimate of the total cost of
the shed. Make sure you choose a post that does not already have an average
calculated. One way to find the building cost is using the average cost per square f
Using the letters from your first and last names, create a set and label it N. Sets
do not contain duplicate letters, so if any letters are repeated in your name, only
list them once in set N. For example, if your name is Megan Ryan, in roster
Choose one of your classmates posts and using the letters of either their first,
middle or last name, create a set and write it in roster notation.
Determine the number of distinct subsets of the set.
Determine the number of distinct proper subs
For Pay Package One, you will be paid a weekly salary and a percentage
of your sales. To determine your pay, use the equation, P = w + rs, where
P is your pay, w is your weekly salary, r is the commission rate (written as
a decimal) you earn on sal
Calculate your water bill under the following conditions.
To determine T, choose a month and do an internet search for the average daily
temperature in your area.
Choose a lawn area, A, between 200 ft2 and 5000 ft2
For N, use the number of peo
Help out one of your classmates by showing what will happen if a lower
weekly salary, but a higher commission rate is used. Choose one of your
classmates posts and adjust their figures as follows.
Cut the weekly salary, w, in half.
Add 4% to the
For this discussion, you can choose a metric conversion or a US conversion. This example
shows a US conversion.
Note: This is NOT one of the US conversions that can be used for this discussion. The
example does show the process that you will use in
Using your first, middle, and last name, create a universal set and
write it in roster notation. If you do not have a middle name, use
your first and last name only.
List all the subsets of your universal set.
How many subsets did you list? How
Post 2 Example
NOTE: Not all parts of the Discussion are included in this Example. Read the Discussion
Question thoroughly and respond to all parts of the Question.
Information from the classmates post:
Home prices: $176,000 $186,000 $187,550 $189,999 $19
Choose one of your classmates posts and:
Check the accuracy of the sets N and M and make any necessary corrections.
Assume the set N U M is the universal set. Choose and post one of the
o Write the set N in roster notation and describe
Choose one of your classmates Post 1 and use the empirical probability to do the
Find the odds in favor of flipping a coin and getting a tail.
Find the odds against?
If given the choice, would you rather have the probability of an eve
Find one of your classmates posts that has not been checked and
check it. Do you agree with your classmates calculations? Why or
why not? If there is an error, tactfully explain the error, but do not
post a correction. Instead, allow your classma
What is the difference between theoretical and empirical probability? What is the
theoretical probability of flipping a coin and getting a tail? Do you expect the
empirical probability to be the same as the theoretical probability? Why or why
You are trying to decide which pay package is best. One way to compare
the two packages is to see how much Vandelay Industries newest team
member must sell for the pay from the two packages to be equal. Set the
equations from Pay Package One and Pa
Choose one of the following as the shape of your shed square, or rectangle and list
the dimensions. Each dimension (length, width, etc.) must be 15 feet or less.
Find the area of the floor of your getaway using the appropriate formula. Dont forget
Choose your favorite company or brand and do a Google search for that company and
stock price history. For example, Graham Holdings is the parent company for Kaplan
University, so enter graham holdings stock price history to find the price history
Choose one of your classmates posts that has not been responded to and do the
Check your classmates solution. If there is an error, tactfully explain the error,
but do not post a correction. Instead, allow your classmate to post the cor
You are looking for a home in your area. Go to a website that shows home prices in
your area and allows you to search based on specific criteria. Identify at least three
criteria (e.g., number of bedrooms, number of bathrooms, square footage, type
You are a very cautious investor. You prefer investing in something with a
guaranteed rate of return, rather than investing in stocks which have a
variable rate of return. Compare the amount that a classmate earned in
his or her Post 2 with the amo
Your friend needs someone to double check the calculations for the luxurious shed.
You have always been good at math, so you gladly help out. Check the area
calculation for accuracy. If it is incorrect, tactfully explain the error, but do not post
Lecture VII - Paths, homotopies and the fundamental group
In this lecture we shall introduce the most basic object in algebraic topology, the fundamental
group. For this purpose we shall dene the notion of homotopy of paths in a topological space X and
Lecture III - More preliminaries from general topology:
In this lecture we take up the second most important notion in point set topology, namely the
notion of connectedness. This topic is usually covered in good detail in point set topology courses.
Lecture IV - Further preliminaries from general topology:
We now begin with some preliminaries from general topology that is usually not covered or else
is often perfunctorily treated in elementary courses on topology. Since many important examples in
Lecture I - Introduction
General topology, a language for communicating ideas of continuous geometry, provides us useful tools for studying local properties of space. Notions of compactness and connectedness though
important, are quite inadequate for obta
Lectures XII - XIII The fundamental group of the circle.
We have already stated the fact that the fundamental group of the circle is the group of integers
and derived some important consequences form it. The importance of this result is attested by the
Lecture V - Topological Groups
A topological group is a topological space which is also a group such that the group operations
(multiplication and inversion) are continuous. They arise naturally as continuous groups of symmetries
of topological spaces. A
Lecture II - Preliminaries from general topology:
We discuss in this lecture a few notions of general topology that are covered in earlier courses
but are of frequent use in algebraic topology. We shall prove the existence of Lebesgue number for a
Lecture VIII - Categories and Functors
Note that one often works with several types of mathematical objects such as groups, abelian
groups, vector spaces and topological spaces. Thus one talks of the family of all groups or the family
of all topological s
Lecture XI - Homotopies of maps. Deformation retracts.
We generalize the notion of homotopy of paths to homotopy of a pair of continuous maps between
topological spaces. This would be particularly useful in the second part of the course. It also leads to
Lecture XIX - Deck Transformations
Given a covering projection p : X X, the deck transformations are, roughly speaking, the
symmetries of the covering space. Thus it should not come as a surprise that they play a crucial part
in the theory of covering spa