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EML3041 Spring 2016 Course
Number: EML 3041 Course
Name: COMPUTATIONAL METHODS Credit
Hours: 3 Pre‑Requisites: MAP
2302: Differential Equations, EML
3035: Programming Concepts for Mechanical Engineers, EML3500
Mechanics of Solids, EGN3343
Thermodynamics Course
Website: Simply go to CANVAS. Click on Piazza in the menu on the left. You will see all you need there including
this syllabus. Class
Location & Time: EDU
115 Mondays
and Wednesdays 2:00-3:15 PM LEARNING OBJECTIVES: Numerical
methods are techniques to approximate mathematical procedures (example of a
mathematical procedure is an integral). Approximations are needed because we either
cannot solve the procedure analytically (example is the standard normal
cumulative distribution function) or because
the analytical method is intractable (example is solving a set of a thousand
simultaneous linear equations for a thousand unknowns for finding forces in a
truss). In this
course, you will ·
Learn the numerical methods for the following mathematical
procedures and topics - Differentiation, Nonlinear Equations, Simultaneous
Linear Equations, Interpolation, Regression, Integration, and Ordinary
Differential Equations. ·
Calculation of errors
and their relationship to the accuracy of the numerical solutions is
emphasized throughout the course. ·
Programming via MATLAB will be used to reinforce the
fundamentals of the course as well as to solve intractable/real-life
problems. By the end of
the course, the students will be able to
OUTCOMES OF EML 3041 In
the course EML 3041 – Computational Methods, the program objectives are met
as follows (The letters in the brackets given at the end of each outcome
corresponds to the outcomes of the Mechanical Engineering program at USF) 1.
Apply the concept and steps of problem solving -
mathematical modeling, solution and implementation. (e) 2.
List the steps of concepts of error - identification,
quantification and minimization of errors.
Understand error sources of round off and truncation error. Introduce the concept of machine epsilon
and significant digits, and its relation to relative errors. Reinforce these concepts in all the
numerical techniques. (a) 3.
Find how derivatives of functions can be calculated
numerically (a,e). 4.
Find real roots of nonlinear equations of the form f(x)=0
using bisection method and Newton-Raphson method. (a, e) 5.
Develop methods to solve simultaneous linear equations. Use Naive Gauss Elimination to obtain a
solution. Show how Gaussian
elimination with partial pivoting reduces round off error. Show how the LU Decomposition method works
to find solution for multiple right hand arrays or inverse of a square
matrix. (a, e, n) 6.
Develop methods to fit a curve to given data points via
interpolation and regression. Develop
direct and spline interpolation methods of interpolation. Develop how to find linear and nonlinear
regression models for give data. (a, b, e, n) 7.
Develop methods of integration such as Trapezoidal rule and
Gauss-Quadrature to find integrals of continuous functions. Develop methods of integration for discrete
functions based on Trapezoidal rule, interpolation and regression models (a,
e, m) 8.
Develop Euler’s method, Runge-Kutta and shooting methods to
solve ordinary differential equations that are coupled and/or higher order,
initial-value or boundary value problems. (a, e, m) OUTCOMES OF MECHANICAL
ENGINEERING PROGRAM a)
an ability to apply knowledge of mathematics, science and engineering;
b)
an ability to design and conduct experiments, as well as to
analyze and interpret data; c)
an ability to design a system, component, or process to meet
desired needs; d)
an ability to function on multi-disciplinary teams; e)
an ability to identify, formulate, and solve engineering
problems; f)
an understanding of professional and ethical responsibility;
g)
an ability to communicate effectively; h)
the broad educational necessary to understand the impact of
engineering solutions in a global and societal context; i)
a recognition of the need for and an ability to engage in
life long learning; j)
a knowledge of
contemporary issues; k)
an ability to use the techniques, skills, and modern
engineering tools necessary for engineering practice; l)
a knowledge of chemistry and physics with depth in at least
one. m)
an ability to apply advanced mathematics through
multivariate calculus and differential equations. n)
a familiarity with statistics and linear algebra; o)
an ability to work professionally in both thermal and
mechanical systems areas including the design and realization of such
systems. COURSE FORMAT The course format is blended. This is how most courses are taught nowadays
in top undergraduate engineering schools.
Students will be introduced completely or partially to a topic in the
class or will self-study a topic before coming to class. Self-study involves reading a book chapter, watching
lecture videos, taking online quizzes, and writing a feedback essay. In-class content include: full- or micro-lectures,
hand calculation of problems, outlining of higher-order exercises, and use of
clicker assessment. After-class
assignments include doing online quizzes, solving problems sets, coding computer
projects, and completing mini-projects. INSTRUCTOR
CONTACT INFORMATION Autar
Kaw Office
Location: ENC 2215 Telephone:
813‑974-5626 E-mail: kaw@usf.edu TA
CONTACT INFORMATION Name:
Benjamin Rigsby Location:
ENG205 Telephone:
813-396-9350 Email: bsrigsby@mail.usf.edu HELP
OUTSIDE OF CLASSROOM (we leave you no excuse to get help) OFFICE
HOURS Autar
Kaw ENC2215 Monday:
10am to 12 noon Wednesday:
3:30pm to 5:00pm _______________________ Benjamin
Rigsby ENG205 Tuesday:
9:30am to 11:30am OUTSIDE
OF OFFICE HOURS We
give no reasons to you to not get help from either of us. You can
call or email Autar Kaw (813-974-5626/kaw@usf.edu) and Benjamin
Rigsby (813-396-9350/ bsrigsby@mail.usf.edu)
to make an appointment for consultation outside office hours. The
best way to make an appointment is to send the blocks of time (not by
emailing - Are you available now; Are you available at 12:54pm today) you are
available, and one of us will reply to you within a business day 99% of the
time. 24/7
DISCUSSION BOARD The
discussion board is available to you 24/7. You can ask questions to the
whole class including the instructor/TA OR ask a question anonymously OR ask
a question privately. The average response time for the questions asked on
piazza last semester was 13 minutes. You can email as well if it is a personal
question. SKYPE For
those of you who are home during Autar Kaw's office hours, you can skype with
him. His skypeid is autarkaw. Just send him a request while
mentioning that you are in EML3041 course and he will add you to
his contacts. 1.
Numerical Methods with Applications: Customized for
Mechanical Engineering of University of South Florida (USF) Go
to http://lulu.com for any discounts Order
now as it takes 5-7 days to get it by Fedex-Ground. An online version of the part of the book
that carries the first one week of lectures is available on the Blackboard
site. Most of the net proceeds from
USF sales of the book are donated to the USF Foundation, USF Student
Organizations, and several other charities. 2.
Your MATLAB book for EML 3035 (The one written by Kaw & Miller
OR Chapman). Either and any edition of
book is good. 3.
Buying MATLAB software for home use is optional. a)
You can always use MATLAB free of charge in LIB 125C (first
floor lab in the Library), and other open labs except EDU
open lab. b)
The university has a program where you can access MATLAB
online from anywhere (http://apps.usf.edu/) c)
You may already have MATLAB when you took the EML3035
course. MATLAB
REFRESHER Matlab overview and refresher: http://www.eng.usf.edu/~kaw/class/programming Only
nonprogrammable calculators are allowed
for class work, homework, and tests (except the concept test where no
calculator or formula sheet is allowed).
The only acceptable calculators are TI-30Xa and TI-30Xa Solar
(the solar and the new model have better display). No other calculator is allowed. No
exceptions will be made.
Office Depot, Staples, and Wal-Mart stock these calculators. Bring the calculator to every class.
CLICKERS We
will use Clickers for in-class activities.
The instructor brings the clickers to class. Pick a clicker if it is displayed in front
of the class. Put it back at the end
of the class. SHORT
OBJECTIVES Techniques
and computer programming tools to solve engineering problems using numerical
methods. Topics include roots of
equations, matrix algebra, integration, differential equations and curve
fitting. TENTATIVE CALENDAR and EXAM SCHEDULE January 11
Spring, first day of classes January 18
Martin Luther King, Jr. March 14 - 19
USF Spring Break April 27 Spring, last day of classes April 28 - 29
Designated reading days April 30 - May 6 Spring Final Exams Total Weeks: 16 Day-by-day lecture
schedule will be announced on Piazza. Test 1: Wednesday
February 3, 2016, 2:00PM-3:15PM, EDU 115. Test 2: Wednesday, March
23, 2016, 2:00PM-3:15PM, EDU 115. Test 3: Monday, April
25, 2016, 2:00PM-3:15PM, EDU 115. Concept Test: Wednesday
April 27, 2016, 2:00PM-3:15PM, EDU 115. Final Exam (Note that
the time is NOT same as class time): Monday, May 2, 2016: 12:30PM-2:30PM,
EDU 115. Chapter 1 – 4 lectures Chapter 2 – 1 lectures Chapter 3 – 2 lectures Chapter 4 – 4 lectures Chapter 5 – 3 lectures Chapter 6 – 4 lectures Chapter 7 – 3 lectures Chapter 8 – 4 lectures COURSE GRADE and GRADING
POLICY
Tests#1,
2, 3: Each
test is graded out of 100. Tests are closed
book and closed notes. A formula sheet
made by the instructor is allowed. Special
Assignments/Computer Project Reports:
Computer project reports are due at the beginning of the class period
they are due in. If you are not coming
to class, you can slip your report/special assignment under my door one hour
before the class period begins on the day it is due. If it is slipped after this time, it will
not be graded. Late reports are not
accepted or graded. Reports
not submitted when they are due will be graded later only if you have a
legitimate, verifiable, and documented excuse as given in the syllabus. You need to submit your report/special
assignment on the first day you are back in class. The
special assignments will be given throughout the semester. These may include submitting assigned HW
problems for a grade, mini-projects, essays, in-class assignments such as
minute papers, reflective resubmission of graded quizzes, etc. Online
Quizzes:
These are online quizzes that get automatically graded and are taken on CANVAS
before and after each lecture. Each
quiz question is worth 1 point except the opinion essay quizzes are graded
out of 3 points. There is a possibility of getting 2 extra credit points for
answering an additional question on the opinion essays. It should not hence be difficult to keep an
overall average of 70% or above.
Distributed practice is essential to learning and to enforce this, you
have to have a raw score of 70% on the overall online quiz grade at the end
of the course. You will be penalized
for a raw score lower than 70% as follows.
60%-69%
- 1 point off of overall transcript grade 50%-59%
- 3 points off of overall
transcript grade 30%-49%
- 5 points off of overall
transcript grade 00%-29%
- 7 points off of overall
transcript grade Final
Exam: The
final exam includes combination of multiple-choice and free response
questions. The final exam is
comprehensive examination of all the topics covered in the course. Concept
Test:
This is a test of the conceptual knowledge of the course. The concept test is a fill-in-blank/multiple-choice-questions
test with about 25 questions asked in a 75-minute test. Grading
Rubric:
Each free-response question on test/final exam is graded on a scale of
0-4. 4:
Demonstrates complete understanding of the problem. All requirements of the
task are included in response. 3:
Demonstrates considerable understanding of the problem. All requirements of
the task are included. 2:
Demonstrates partial understanding of the problem. Most requirements of the
task are included. 1:
Demonstrates little understanding of the problem. Many requirements of the
task are missing. (There is something salvageable.) 0:
Left blank or shows no demonstration of understanding of the problem. (Maybe
simply repeated the data or copied formulas, or showing formulas that are not
even relevant.) Extra
Credit: You
can earn two (2) extra credit points applied directly to your overall grade
by participating in a research project study funded by the National Science
Foundation to enhance the educational experience received by students in the
class. More information about this study will be made available on Piazza and
Blackboard later during the semester. There is no penalty if you choose not
to participate in this study. Alternatively, you can choose to write a
500-word essay on topics of numerical methods that are mutually agreed upon
between you and the instructor for the same credit. Attendance
and Late Policy:
YOU SHOULD NOT RUSH TO MY CLASS as nothing is that important in life. I myself
may get to come late to a class for something that is beyond my control or
even with the best of planning. In the last 28 years of teaching, I have been
late to class five times. Curving
the Grade:
The adjustments made to your course grade is as follows and is made to the
tests#1, 2, 3, concept test, and the final examination. If
the average for students registered for the course (all withdrawal students
and students missing the exam are not included in the calculation) for any of
the tests is less than 70%, the difference is added to every registered
student's grade for that test (exception include students missing a test for
verifiable excuse, where adjustments are at the discretion of the instructor). Grade
A+ is 98‑100 (4.00) Grade A
is 90-97 (4.00) Grade A-
is 86-89 (3.67) Grade
B+ is 83-85 (3.33) Grade B is 80-82
(3.00) Grade B- is 76-79 (2.67) Grade
C+ is 73-75 (2.33) Grade C is 70-72
(2.00) Grade C– is 66-69 (1.67) Grade
D+ is 63-65 (1.33) Grade D is 60-62
(1.00) Grade D‑ is 56‑59
(0.67) Grade
F is 0‑55 (0.00). Your final grade will be calculated as follows
at the end of the course. A number
0.999999 will be added to your overall percentage grade. The integer
part (INT function in Excel) of the grade will be recorded as your final
grade. Course grades will be evaluated
on the above given percentages and a letter grade will be assigned to you as
outlined in the University catalog for undergraduate students (2015-2016). Course
grades will be evaluated on percentage score and a letter grade will
be assigned to you as outlined in the University catalog for undergraduate
students (2015-2016). Do
not wait until the last day before an examination or a test to ask questions.
Graded assignments and quizzes not picked up when handed out in class can be
picked up only during the above given office hours or at the end of the
class. Graded assignments and tests not picked up by May 15, 2016 will be
discarded. Final exams or concept tests are not returned. Attendance is not compulsory but I will take
attendance randomly for my own records.
No penalty is attached to not attending classes. You are responsible for topics covered in
class, announcements made in class, homework assigned in class, and
submitting lab reports and special assignments on time. Re-grading of a test, lab
report, essay or computer project should be requested within five working
days of it being returned to you. Re-grading
after the final grade is assigned for the course will be allowed only in
extreme circumstances. Mistakes in the
grade book entries should be rectified as soon as possible to avoid any
change of grade issues. You will need
a copy of all your graded tests for verification. KEEP ALL YOUR GRADED PAPERS TILL THE FINAL
GRADE IS ASSIGNED. Grades will be updated
on https://my.usf.edu. NO make‑up tests
will be given. However, in the event
of a serious illness (physician's statement documenting severity of illness
required), death in the family or other legitimate, documented, verifiable emergency
resulting in the absence from a schedule test, each case will be evaluated
separately. The decision of the
instructor is final. An example of a
make-up score is that if you miss a test, you may be given the same grade as
the final exam score in the missed topics, and so on. Curving of make-up grades is discretion of
the instructor. Notification of absence
must be given in writing before the commencement of the scheduled examination
or test to me. You
need to type a professional memo (see sample) about your
absence addressed to me as soon as possible.
Attach any documentation with it (no e-mails will be accepted). Do not presume that your
reasons for missing an examination or test are acceptable unless
authorization is given to you. POLICY
ON RELIGIOUS OBSERVATIONS Students who need to be
absent under this rule must provide written notice of date(s) to me by the second-class
meeting. The request needs to be
reasonable under university rules. POLICY ON STUDENT
DISABILITY ACCOMMODATIONS “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.” The website is http://www.sds.usf.edu/index.htm. ACADEMIC DISHONESTY AND DISRUPTION
If you are found cheating on any of the tests,
exams, graded HWs, projects, you will get a 'FF’ for the whole course, and
referred to the Dean's office for further process or appeal. Academic
disruption includes excessive side talking, lack of respect for your fellow
classmates and the instructor, listening to music, cell phone distractions,
solving crossword puzzles. These will be handled as per the undergraduate
catalog of 2015-16. INCOMPLETE GRADE,
ACADEMIC DISHONESTY, AND DISRUPTION OF ACADEMIC PROCESS The
following restates portions of USF Academic Policy from the USF Undergraduate
Manual concerning the “incomplete” grade, academic dishonesty, and disruption
of academic process. The faculty of
the Department of Mechanical Engineering requests all students in the
department to be informed of these policies. Incomplete
Grade Policy “It
may be awarded to an undergraduate student only when a small portion of the
students work is incomplete and only when the student is otherwise earning a
passing grade.” Academic
Dishonesty “Each
individual is expected to earn his/her degree on the basis of personal
effort. Consequently, any form of
cheating on examinations or plagiarism on assigned papers constitutes
unacceptable deceit and dishonesty.” Penalties
for Academic Dishonesty “Penalties
for academic dishonesty will depend on the seriousness of the offense and may
include assignment of an “F” or a numerical value of zero on the subject
paper, lab report, etc., an “F” or an “FF” grade (the latter indicating
academic dishonesty) in the course, suspension or expulsion from the
University.” In this course, a FF is
assigned for any cheating in the assigned HW, quizzes and/or competency tests. Disruption
of Academic Process “Disruption
of the classroom or teaching environment is also unacceptable. This cannot be tolerated in the University
community, and will be punishable, according to the seriousness of the
offense.” Punishment
Guidelines for Disruption of Academic Process “Punishment
for disruption of academic process will depend on the seriousness of the
disruption and will range from a private verbal reprimand to dismissal from
class with a final grade of “W,” if the student is passing the course. If the student is not passing, a grade of
“F” will be shown on the student record.
Particularly serious instances of disruption of the academic process
may result in suspension or permanent expulsion from the University.” Recording All
unauthorized recordings of class are prohibited. Recordings that accommodate individual
student needs must be approved in advance and may be used for personal use
during the semester only; redistribution is strictly prohibited. In response to student requests and instructor
observations, the following class rules will apply in this course:
The purpose of these class rules is to eliminate
activity that is disruptive to the academic process. Most students view these as a common
courtesy to the instructor and fellow students. Failure to comply with a class rule will be
viewed as a Disruption to the
Academic Process. The penalty
for such disruption is given in the syllabus. |
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