see instructions and rubric that I uploaded.

sa_matu103_applied_mathematics_final_project_4.24.18_1_.pdf

sa_rubric_aa_matu_103_plo3_plo4_student_1_.pdf

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MATU-103 Final Project Instructions

PLO 3 – Quantitative Fluency: Explain how accurate calculations and symbolic operations are used in interpreting

social and economic trends.

PLO 4 – Applied Learning: Evaluate a scenario in which academic knowledge and skills could be applied to a work or

community issue.

The Assignment

As individuals and as a society, we use mathematics every single day to make important decisions, drive

advancements, and understand the world around us. In this assignment, you will choose a real-world topic (from the

list below) and you will describe and discuss how mathematics is used to address current issues related to that topic.

You will:

1. Describe the history of the topic as well as the history and development of the branch (or branches)

of mathematics being used to address issues related to it,

2. Provide a summary of the formal mathematics being used to address issues related to your topic,

with appropriate mathematical symbols, formulas, terminology, and concrete examples,

3. Explain how the mathematics is applied in the real-world to work, community, social, and economic

issues.

See the section Outline Of Material To Present below for a more detailed explanation of what you will submit for

each of these three sections.

The topics that you may choose from are

•

•

•

•

•

Business

Economics

Equal Representation and Fairness

Health and Healthcare

Education

Review the section Tips To Get Started at the end of these directions for more information on the mathematics

(and corresponding chapters from your textbook) that you may want to consider writing about for each of these

five options.

You may write on any of these five topics, but you may not write on a different topic unless you have received

express prior permission from your individual instructor. Your instructor is not required to approve alternative

topics and will only do so if he or she is certain that there is sufficient research and information available to

adequately complete this assignment.

Outline of Material to Present

The assignment is broken down into three parts: Introduction and Historical Context, Summary of Mathematics, Real

World Applications. Each part has a subset of questions and issues you must address. Please ensure that your

report includes a section for each of the three Parts listed below, and that each part addresses ALL of the subquestions listed. Again, you must select one of the topics provided above unless you have received permission

from your individual instructor to write on another topic.

Part 1: Topic Introduction and Historical Context (approximately 2 pages)

Here is where you will introduce your topic and explain why it is important. You will also introduce the branch(es) of

mathematics that are used to address issues related to your topic, and provide a brief history of the mathematicians

or other key figures that contributed to its development. Please include each of the following:

1. Introduce your main topic (Business, Economics, Equal Representation/Fairness, Heath/Healthcare, or

Education). Why is this topic important? What are some key current issues (social, political, environmental,

technological etc.) related to your topic today? Why is it important to understand and address those issues?

2. Introduce and briefly describe the branch (or branches) of mathematics that may be used to address key

issues related to your topic. This is merely a general introduction; you will discuss the mathematics formally

in Part 2: Summary of Mathematics below.

3. Name at least 2 key figures that contributed to the development of the branch(es) of mathematics

described above. Who were they? When did their research take place? How did their work contribute to

the development of this type of mathematics?

Part 2: Summary of Mathematics with Examples (approximately 2-3 pages)

Here you will discuss the formal mathematics that are used to address issues related to your topic. (Note: You will

apply the math that you present in Part 2 to your application examples in Part 3 so you may want to review Part 3

before completing this section). For any topic that you choose, there will be many different areas of mathematics

that can be applied. Select one, or a few that you think are the most relevant, interesting, and applicable to your

topic and include the following:

1. Choose and describe at least one branch of mathematics (you may have more than one) that is used to

address issues related to your topic. Explain the formal mathematics by:

a. Presenting and describing relevant symbols, notation, and terminology

b. Presenting and describing key formulas

c. Presenting and describing important theories or theorems

2. Provide an example that illustrates the mathematics described above being applied to a situation

related to your topic (PLO 4), and solve the problem by:

a. Describing the problem and the steps of the solution in words

b. Presenting the mathematical steps of the solution using formal mathematical symbols,

notation, and formulas, and provide and interpret the final answer (PLO 3)

Note: You may choose an example from the problem sets in your textbook as long as you appropriately

cite this example in your references. See the section Tips To Get Started below to see some suggested

sections from your textbook

Part 3: Real World Applications (approximately 3-4 pages)

Here you will describe how the mathematics you presented in Part 2 is applied in the real world. You do not need to

use the mathematics to solve any particular problem; rather, explain how the mathematics is (or could be) used to

explain, address, or solve problems related to your topic, directly or indirectly, as described below. Include each of

the following:

1. Provide at least one real-world example of a specific work or community scenario related to your topic

where the mathematics you presented in Part 2 could be applied. (PLO 4) Describe the scenario and explain

how the math would address it. What is the purpose and benefit of using math to address this

scenario? Does it increase efficiency? Does it help with accuracy? What problems might we encounter if we

neglected to use math to help address this scenario?

2. Provide at least one real-world example where accurate calculations and symbolic operations (using the

mathematics you presented in Part 2) are, or could be used to interpret and/or explain a social and/or

economic trend related to your topic. (PLO 3) This example should be something different from your

example in #1 above. Describe the social or economic trend and explain how the math you presented in

Part 2 helps to interpret or explain it. (Examples of social or economic trends might be things like income

inequality, gerrymandering, equal housing, public healthcare, equal access to quality education, and so on.)

3. Describe and discuss how this topic and the mathematics you have presented are relevant to your own life,

directly and/or indirectly.

Formatting Requirements

Your paper should be a Word document, with embedded charts, graphs, figures, formulas and tables. It should be

APA or MLA Format, with name and page number on each page, and should include each of the following:

1. Title page: You should have a cover page. The cover page should have a specific title of your paper (Note:

“MATU 103 Paper” does not clearly define the topic you are presenting), your name, Brandman University,

MATU 103, term, and year. You might find it helpful to include an image of something representative of your

topic to provide a visual context for your report.

2. Write Up/Body: The body should be 6 – 8 pages. Please use a “page break” to separate the cover from the

body and the references from the body.

3. References: Please include all articles, books, websites, publications, or other information that you

utilized to obtain the information in your paper. The references come after the main body. At least three

references are required, not including the textbook.

4. Appendix (optional): Include an appendix after your references to include any charts, graphs,

calculations, or other information that supports your paper, but which is not necessary to include in the

main body.

Academic Integrity

The University expects that students will conduct themselves in an honest and ethical manner and respect the

intellectual work of others. Your paper will be submit through TurnItIn, which is a plagiarism detection service. Your

paper will receive a Similarity Report that represents the percentage of your paper that is similar to or copied from other

sources. Any type of plagiarism, including using work without referencing, copying another paper, not citing references

in the body of the paper, using a paper from another course, etc., will be met with penalties determined by the

instructor, including the possibility of failing the course, and having an Academic Integrity Violation Sanction Report

submitted to University administration. Note: You may not use a paper you wrote from a prior course, even if it is the

same class you are taking now, without prior permission from your individual instructor. If you have further questions

about academic integrity, please contact your instructor and/or see the catalog.

Tips To Get Started

Before selecting your topic, do a little research first! Read the sections of your textbook noted below, and do

some internet searching to make sure you feel prepared to present a paper where you provide each of the

following: a) an explanation of the formal mathematics with appropriate symbols, formulas, and examples, b)

examples of how this branch of mathematics could be applied to a work or community issue, and c) an

explanation of how this branch of mathematics can be used to interpret social or economic trends.

Below is a list of the main topics you may choose from, as well as some suggested readings and related

discussion points from your textbook. You may choose any one of the Topics below for your project. If you want

to write on a topic not shown here, you must obtain prior permission from your individual instructor. Your

instructor is not required to approve alternative topics and will only do so if he or she is certain that there is

sufficient research and information available to adequately complete this assignment.

Business

for this topic, you might discuss…

• Chapter 4, Graph Theory (for example: efficient routes, efficient scheduling)

• Chapter 7, Modeling (for example: currency conversion, supply and demand)

• Chapter 8, Consumer Math (for example: interest, investments, loans, mortgages)

• Chapters 13, 14, Probability and Statistics (for example: expected value)

Economics

for this topic, you might discuss…

• Chapter 6, Number Theory (for example: CPI, HPI, inflation)

• Chapter 7, Modeling (for example: population growth, inflation, currency conversion, supply and demand)

• Chapter 8, Consumer Math (for example: interest, investments, loans, mortgages)

• Chapters 13, 14, Probability and Statistics (for example: expected value)

Equal Representation and Fairness

for this topic, you might discuss…

• Chapter 7, Modeling (for example: population growth)

• Chapters 10, 11, Apportionment and Voting (for example: gerrymandering, measuring power, measuring fairness)

• Chapters 13, 14, Probability and Statistics (for example: polling)

Health and Healthcare

for this topic, you might discuss…

• Chapter 4, Graph Theory (for example: spread of disease)

• Chapter 7, Modeling (for example: spread of disease)

• Chapters 12-14, Probability and Statistics (for example: genetics, likelihood that a drug or vaccine is effective)

Education

for this topic, you might discuss…

• Chapter 7, Modeling (for example: projecting college graduation rates)

• Chapter 10, Apportionment (for example: allocating resources to classrooms, awarding assistantships to college

students)

• Chapters 12-14, Probability and Statistics (for example: normal distribution of grades on standardized tests, academic

performance influenced by other factors – i.e. comparing grade averages, correlation between funding and academic

performance)

Signature Assignment Rubric:

Course Number and Course Title: MATU-103 Applied Mathematics

PLO and/or ILO Number and Title: PLO3 Quantitative Fluency, PLO4 Applied Learning

Learning

Outcome

Criteria

CLO

Part I

Numbers 1-3:

Introduction and

Historical Context

30

The paper fulfills all

instructions for Part 1.

All questions are

thoroughly answered

and answers

demonstrate excellent

understanding of all

topics.

25

One of the required

elements for Part 1 is

missing, incomplete

or underdeveloped.

Most questions are

thoroughly answered

and answers

demonstrate very

good understanding

of all topics.

CLO

Part 2

Number 1:

Summary of

mathematics

30

The paper fulfills all

instructions for number

1 of Part 2. Branch(es)

of mathematics is fully

and accurately

described. Explanation

for sections a-c includes

relevant information

and all information is

correct.

25

One of the required

elements for number

1 of Part 2 is missing,

incomplete or

underdeveloped.

Branch(es) of

mathematics is

mostly fully and

accurately described.

Explanation for

September 6, 2018

EXEMPLARY

PROFICIENT

DEVELOPING

EMERGING

NOT COMPLETE

20

Two required

elements for Part 1

are missing,

incomplete or

underdeveloped.

Some questions are

thoroughly answered

but some lack detail,

and answers

demonstrate good

understanding of

most, but not all,

topics.

15

Three required

elements for Part 1

are missing,

incomplete or

underdeveloped.

Most questions are

not thoroughly

answered and most

answers demonstrate

poor understanding

of most topics.

0

Part 1 is missing from

submission, or its

contents are not a

response to the

assignment

directions, or the

attempt is confusing

or incorrect to the

point of being

inadequate.

20

Two of the required

elements for number

1 of Part 2 are

incomplete or

underdeveloped.

Branch(es) of

mathematics is

somewhat accurately

described, but some

elements are not

15

Three of the required

elements for number

1 of Part 2 are,

incomplete or

underdeveloped.

Branch(es) of

mathematics is not

fully and accurately

described.

Explanation for

0

Number 1 of Part 2 is

missing from

submission, or its

contents are not a

response to the

assignment

directions, or the

attempt is confusing

or incorrect to the

sections a-c includes

mostly relevant

information and most

information is

correct.

PLO 3, PLO 4

Part 2

Number 2:

Mathematics

example

30

Provides a specific

example that is clearly

relevant to a situation

related to the topic,

and completes sections

a and b appropriately.

Provides a thorough

and complete

description of the

problem and steps, and

presents all relevant

symbols, notations, etc.

Interpretation of final

answer is correct and

demonstrates excellent

understanding.

25

Provides a specific

example that is

mostly relevant to a

situation related to

the topic, and

completes sections a

and b appropriately.

Provides a mostly

thorough and

complete description

of the problem and

steps, and presents

mostly relevant

symbols, notations,

etc. Interpretation of

final answer is mostly

correct and

demonstrates good

understanding.

accurate. Explanation

for sections a-c

includes some

irrelevant information

and only some

information is correct.

20

Provides an example

that is somewhat

relevant to a situation

related to the topic,

and completes

sections a and b

appropriately.

Provides an

incomplete

description of the

problem and steps,

and presents only

some of the relevant

symbols, notations,

etc. Interpretation of

final answer is not

completely correct

and demonstrates

some understanding.

PLO 4

Part 3

Number 1:

Applications to

work or

community issue

30

The paper fulfills all

instructions for Part 3,

Number 1.

Example is clearly and

specifically related to a

work or community

issue related to the

topic. Thorough and

complete description,

explanation and

25

One of the required

elements is missing,

incomplete or

underdeveloped for

Part 3, Number 1.

Example is mostly

clearly and

specifically related to

a work or community

issue related to the

20

Two of the required

elements are missing,

incomplete or

underdeveloped for

Part 3, Number 1.

Example is somewhat

related to a work or

community issue

related to the topic.

Somewhat complete

September 6, 2018

sections a-c includes

little relevant

information and

much information is

incorrect.

point of being

inadequate.

15

Provides an example

that is not clearly

relevant to a

situation related to

the topic, and

doesn’t complete

sections a and b

appropriately.

Provides a mostly

incomplete

description of the

problem and steps,

and presents few of

the relevant symbols,

notations, etc.

Interpretation of final

answer is mostly or

fully incorrect and

demonstrates little

understanding.

15

Three or more of the

required elements

are missing,

incomplete or

underdeveloped for

Part 3, Number 1:

Example is not clearly

and specifically

related to a work or

community issue

0

Number 2 of Part 2 is

missing or contents

are not a response to

the assignment

directions, or the

attempt is confusing

or incorrect to the

point of being

inadequate.

0

Number 1 of Part 3 is

missing from

submission, or its

contents are not a

response to the

assignment

directions, or the

attempt is confusing

or incorrect to the

PLO 3

Part 3

Number 2:

Application to

social or economic

trend.

September 6, 2018

answers to all

questions. Math

branch(es) used is the

same as that presented

in Part 2, and

description of how it

could be applied to

work or community

issue is very clear.

Excellent understanding

of the topic is

demonstrated.

topic. Mostly

thorough and

complete

description,

explanation and

answers to all

questions. Math

branch(es) used is

mostly the same as

that presented in

Part 2, and

description of how it

could be applied to

work or community

issue is mostly clear.

Very good

understanding of the

topic is

demonstrated.

description,

explanation and

answers to all

questions but some

parts are incomplete

or not relevant. Math

branch(es) used is

somewhat different

than that presented in

Part 2, and description

of how it could be

applied to work or

community issue is

somewhat unclear.

Some understanding

of the topic is

demonstrated.

related to the topic.

Incomplete

description,

explanation and

answers to most

questions. Math

branch(es) used is

not the same as that

presented in Part 2,

and description of

how math could be

applied to work or

community issue is

not clear. Little

understanding of the

topic is

demonstrated.

point of being

inadequate.

30

All required content for

Part 3, Number 2 is

present. Example is

clearly and specifically

related to a social or

economic trend related

to the topic.

Description of the

trend is clear and

accurate. Math

branch(es) used is the

same as that described

in Part 2, and

description of how it

could be used to

interpret/explain is

25

Most required

content for Part 3,

Number 2 is present.

Example is mostly

clearly and

specifically related to

a social or economic

trend related to the

topic. Description of

the trend is mostly

clear and accurate.

Math branch(es)

used is the same as

that described in Part

2, and description of

how it could be used

20

Most required content

for Part 3, Number 2 is

present. Example is

somewhat related to a

social or economic

trend related to the

topic. Description of

the trend is only

somewhat accurate.

Math branch(es) used

is somewhat different

than that described in

Part 2, and description

of how it could be

used to

interpret/explain is

15

Some required

content for Part 3,

Number 2 is missing.

Example is not clearly

and specifically

related to a social or

economic trend

related to the topic.

Description of the

trend is not entirely

clear or accurate.

Math branch(es)

used is not the same

as that described in

Part 2, and

description of how it

0

Number 2 of Part 3 is

missing from

submission, or its

contents …

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