Calculus project

I want to have a project for my calculus class and the project should feature a practical problem from the industrial engineering field or related to industrial field and require the use of calculus tools. The topic can be any problems related to industrial engineering field.Beyond that, problems might be either well-defined or open-ended. And I want be at least 12 pages long. Everything you need to know is in the attachment down there. Also, there are some samples so you can go and check how this paper is going to be written, There are 2 website links for that in the bottom of the first page for samples, give it a look.Thank you.
mac2282.902spring2018grinshpan__1_.pdf

project_guidelines__1_.pdf

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CAS: Department of Mathematics and Statistics
MAC 2282.902: ENGINEERING CALCULUS II – Spring 2018
Instructor: Dr. A. Grinshpan
Office: CMC 131A, Phone: 974–9751, E-mail address: agrinshp@usf.edu
CLASS SCHEDULE: MW 7:00–8:45 p.m. in CHE 101A
OFFICE HOURS: MW 9:00–10:00 p.m. and F by appt.
Course objectives: satisfaction of requirements for engineering majors
and math application boosting in the USF area
TEXT: ESSENTIAL CALCULUS: Early Transcendentals (2nd edition)
by James Stewart
Chapters 5, 6, 7, and 8 will be covered, with some sections reviewed or omitted:
Chapter
Chapter
Chapter
Chapter
5.
6.
7.
8.
Integrals (sections 5.4, 5.5)
Techniques of Integration (sections 6.1 – 6.6)
Applications of Integration (sections 7.1 – 7.5)
Series (sections 8.1 – 8.8)
There will be three tests: T1, T2, T3 (each test will get you up to 20 pts.)
and a mandatory Applied Calculus Project, ACP (up to 40 pts.):
many examples can be found at http://ciim.usf.edu/ .
T1, 02.12.18, will cover sections 5.4, 5.5, and 6.1 – 6.3.
T2, 03.21.18, will cover sections 6.6 and 7.1 – 7.5.
T3, 04.23.18, will cover sections 8.1 – 8.8.
Tests dates are tentative.
ACP is supposed to be submitted online before the end of the Spring term.
Homework will be assigned for each section but not collected.
Regular in-class participation is important. A hard-working student with less than 10 pts.
for a test will be allowed to rework it and take a short oral examination one time.
An excellent project as well as class activity will result in extra points to the student’s grade.
The university’s +/- grading policy will be used in assigning final grades:
Points ? Letter Grade
97–100: A+, 93–96: A, 90–92: A-, 87– 89: B+, 83–86: B, 80–82: B77– 79: C+, 73–76: C, 70–72: C-, 67– 69: D+, 63–66: D, 60–62: D-, Below 60: F
This course earns 4 semester hours of credit toward the University of South Floridas Foundations of Knowledge and Learning (FKL) Core Curriculum. It is certified for Mathematics
and Quantitative Reasoning and for the following dimensions: Critical Thinking, Inquirybased Learning, Scientific Processes, and Quantitative Literacy. Students enrolled in this
course may be asked to participate in the USF General Education assessment effort. This
might involve answering questions that measure quantitative reasoning skills (but are not
directly related to the course), responding to surveys, or participating in other measurements
designed to assess the FKL Core Curriculum learning outcomes.
1
If a student has any difficulty with the subject, please feel free to ask the instructor for
assistance.
TUTORING CENTER: For extra help in this class, please be sure to visit the Math
Center in the SMART Lab (http://usf.edu/smartlab/) in the Library (LIB232).
The Center is open six days a week (excluding Saturdays):
Monday-Thursday 9:00 am – 9:00 pm; Friday 9:00 am – 4:00 pm; Sunday 1:00 pm – 5:00 pm
Call 974-9944, or stop by the second floor of the Library for more information.
Students in need of academic accommodations for a disability may consult with the Office
of Students with Disabilities Services to arrange appropriate accommodations. Students are
required to give reasonable notice prior to requesting an accommodation.
No student shall be compelled to attend class or sit for an examination at a day or time prohibited by her or his religious belief. In accordance with the University policy on observance
of religious holy days, students are expected to notify their instructors if they intend to be
absent for a class or announced examination prior to the scheduled meeting.
The last date to drop or add a class is Friday, 01.12.18, by 11:59 pm.
The last date to drop a class and receive a grade of ”W”
is Saturday, 03.24.18, by 11:59 pm.
A grade of “I” indicates incomplete work and will only be assigned when most of the
coursework has already been completed with a passing grade.
University Holiday – Martin Luther King, Jr. Day: Monday, 01.15.18 (no classes)
USF Spring break: March12 – 18
Reading Days: Thursday, April 26, and Friday, April 27
(classes will not meet on these two days).
Egrades submission dates are:
Tuesday, 03.13.18, 11:59 pm (Midterm grades dues)
Tuesday, 05.08.18, 11:59 pm (Course grades dues)
Notes and/or tapes are not permitted for purposes of sale. Cell phones must be turned off
at all times; this includes tests and lectures.
In the event of an emergency, it may be necessary for USF to suspend normal operations.
During this time, USF may opt to continue delivery of instruction through methods that
include but are not limited to: Canvas, Elluminate, Skype, and email messaging and/or an
alternate schedule. It’s the responsibility of the student to monitor Canvas site for each class
for course specific communication, and the main USF, College, and department websites,
emails, and MoBull messages for important general information.
2
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
Advisor.
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
that.
Publication in the Undergraduate Journal of Mathematical Modeling: One + Two
Selected projects will be published in the open access electronic journal UJMM: One + Two
http://scholarcommons.usf.edu/ujmm/ or http://ciim.usf.edu/ujmm
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):
Page 2
Your section
MATHEMATICS – ENGINEERING PROJECT *
(e.g., MAC2282.902)
PROJECT TITLE
Student:
First Name
Last Name
ADVISORS
Mathematics Advisor: First Name Last Name
Affiliation**
Subject Area Advisor: First Name Last Name
Affiliation**
Problem suggested by: First name Last name
Affiliation**
Current semester and year
PROBLEM STATEMENT
Provide an exact statement of the problem as suggested by its author.
* or MATHEMATICS – MEDICINE PROJECT, MATHEMATICS – BIOLOGY PROJECT,
MATHEMATICS-ENVIRONMENTAL SCIENCE PROJECT, etc.
** 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.
Contents
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
P
A
G
E
#’s
(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:
P
T
v
V
Pressure
Temperature
Velocity
Voltage
kPa
o
C
m/s
V
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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