An application or use of continuity equation in real life.

“Your project should feature a practical problem from the field you are pursuing and require the use of calculus tools. Beyond that, problems might be either well-defined or open-ended. Consider the things you are interested in and look for an application of calculus to them. If you can find one, you can probably build a project around that”. – My project will focus on continuity equation and how mathematicians and civil engineers use it in their projects. I just want a clear calculations and how engineers derive these calculations. One use of continuity equation is called fluid dynamics. if fluid dynamics is really hard subject you can change it but you still have to use continuity equation in the new subject. – My project will have contents as follow: 1. Abstract2. Motivation3. Mathematical Description and Solution Approach4. Discussion5. Conclusions and Recommendations6. Nomenclature7. References Appendix (calculations, graphs, pictures, spreadsheet information …)Please see and follow the project guidelines for further information

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Applied Calculus Projects – Guidelines for Students
Nature of the Project
Your project should feature a practical problem from the field you are pursuing and require the
use of calculus tools. Beyond that, problems might be either well-defined or open-ended.
All projects will have at least two advisors – a Subject Area Advisor and a Mathematics
Subject Area Advisor
Your Subject Area Advisor will most likely be the person (e.g., work supervisor, faculty
member, postdoc, etc.) who suggested the project to you. This person might simply hand
you a project and say “Come back when you are done” or schedule meetings with you to
discuss it. How you work with your Subject Area Advisor is between you and her/him.
Math Advisor
Your Calculus course Instructor will be your Mathematics Advisor. You may have more
than one Mathematics Advisor (any Faculty or Graduate student in the Department of
Mathematics & Statistics).
How to Select a Project
The problem for your project can come from a number of different sources. If you have a job or
an internship, your work supervisor might have a problem that is important to the organization
you work for. If you have an undergraduate research position, your research advisor can be a
source of project ideas. Or, you might have already taken a class or two with faculty members in
your major and they might be willing to suggest a problem for you to work on. The best source
of a project might be you though. Consider the things you are interested in and look for an
application of calculus to them. If you can find one, you can probably build a project around
Publication in the Undergraduate Journal of Mathematical Modeling: One + Two
Selected projects will be published in the open access electronic journal UJMM: One + Two or
under a Creative Commons Attribution Non-Commercial Share Alike 3.0 license. Submission of
a project report will imply that you are giving the editors of UJMM: One + Two permission to
publish your report in this journal, should it be selected.
Page 1
Project Deadlines
The deadline for selecting a project will be given to you by your Calculus Instructor.
Your subject area advisor might wish to review your report and make suggestions before
you submit it. You should ask her/him if this is the case and, if so, when the deadline for
this is.
The official due date of the project (final submission) – the day that it must be uploaded –
will be given to you by your Calculus Instructor.
Project Submission
Your project (equations, graphs, diagrams, pictures included) should be presented as a Microsoft
WORD document.
Clarity of writing is important. At the very least, be sure to use your spell-checking and
grammar-checking facilities.
It is very important that you include the correct first and last names of your project
advisors. Also be certain to include their correct USF Department or Company
Affiliation. This information as well as your own correct first and last name is crucial for
proper identification of your project upon online submission.
You will need to prepare a Project Summary in advance. This is a concise abstract type
description written in the third person. The Project Summary will be posted online so it
should be understandable to a general audience. Therefore it should be focused on the
subject matter rather than mathematical formulas and details.
You should submit your project through the PROJECT SUBMISSION link provided by
your Calculus Instructor. The check list of the required and optional data appears as the
first page in the submission process.
You may be required to provide your advisors with a hard copy of your project.
Project Checklist
1. Find a Subject Area Advisor for your project, by ___________.
2. Meet with your chosen Subject Area Advisor and identify a problem, by ___________.
3. Check back with your Mathematics and Subject Area Advisors concerning your
understanding of the problem and a mathematical approach to solve it. Consult with them
about any difficulties or questions.
4. Show a draft of your report to all advisors no later than _______________.
5. Submit final copy online, by ___________.
Report Format
Project submissions must be in the following format:
(a) Cover page and Problem statement.
The cover page should use the following template, followed by the problem statement (see next
Page 2
Your section
(e.g., MAC2282.902)
First Name
Last Name
Mathematics Advisor: First Name Last Name
Subject Area Advisor: First Name Last Name
Problem suggested by: First name Last name
Current semester and year
Provide an exact statement of the problem as suggested by its author.
** For instance, Electrical Engineering, University of South Florida, Tampa, FL.
Research and Development, Raytheon Technology. St. Petersburg, FL.
Department of Radiology, Tampa General Hospital, Tampa, FL. , etc.
(b) Table of Contents. Include the following sections in the table and give the page numbers.
1. Abstract
2. Motivation
3. Mathematical Description and Solution Approach
4. Discussion
5. Conclusions and Recommendations
6. Nomenclature
7. References
Appendix (calculations, graphs, pictures, spreadsheet information …)
Page 3
(c) Abstract. The abstract is a short summary of your project report – it should not exceed one
or two paragraphs. It should concisely state what you did, how you did it, and what conclusions
you drew from the results. The abstract will be posted online so it should be well written.
(d) Motivation. In this section you should give some background about why the problem is
important to science or engineering. You should also describe the problem within its
engineering or science context and provide the objective for the project.
(e) Mathematical Description and Solution Approach. In this section, you should formulate
the mathematical approach to solving the problem – providing the relevant equations,
describing the mathematical tools you used and outline the procedure used. Do NOT simply list
the equations – use text between them to provide a clear understanding of them to the reader.
(f) Discussion. Here, you should provide the results and discuss them. Did you meet the
objective of the project? Were they as expected, or were they counter-intuitive? What
implications do your results have to the problem at hand and to the field in general?
(g) Conclusions and Recommendations. Give the basic conclusions of your work. This will
be somewhat similar to what is in the abstract but with a little more detail – for instance,
including a summary of your interpretation of the results. You should also make a few
recommendations – such as things a person doing the same project might do differently or ideas
for a new study that is suggested by your results.
(h) Nomenclature. List the symbols that you use in your report. For each symbol, provide a
description of what it represents and its units. Example:
All units used should belong to the same measuring system: Standard (English) or Metric (SI).
Carefully check whether the units agree and are balanced on both sides of each equation.
(i) References. Any work or ideas that you have taken from someone else should be cited
directly in the text of your report. This includes any figures that you might download from the
web. Do your best to find and cite the original source of information rather than the secondhand
source. At the end of the report should be a list of references that were cited. Book and scientific
journal references are strongly preferable to webpages.
(j) Appendices. You might have detailed calculations, spreadsheets or computer programs that
were used to obtain your results but do not belong in the main report. If so, you should place
these materials in appendices and refer to them as needed in the report.
Page 4

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