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EML3041 Fall 2015 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: Go to CANVAS. Click on
Piazza. Class
Location & Time: EDU
115 Tu
Th 11:00AM-12:15PM 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 Inverted. Students will complete
self-study assignments (reading materials, videos, online quizzes, and
feedback essay) before each class. In-class content includes: micro-lectures,
hand calculation problems, outlining higher-order exercises, and clicker
assessment. After-class assignments
include online quizzes, problems sets, computer projects and mini-projects. Autar Kaw Office Location: ENC 2215 Telephone: 813‑974-5626 E-mail: kaw@usf.edu
Office Hours: Tuesday 2:00pm-3:00pm Thursday 2:00pm-3:00pm OR call 813‑974-5626 for making an
appointment for consultation outside office hours OR Skype me at autarkaw during office hours. OR Ask questions via Piazza. TA INFORMATION Name: Benjamin Rigsby Location: ENG205 Office Hours: Monday
11:45AM-1:45PM, Wednesday
9:45AM-11:45AM Email: bsrigsby@mail.usf.edu
OR call 813-396-9350 for making an appointment for
consultation outside office hours OR Ask questions via Piazza. 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 Total Weeks: 16 Day-by-day lecture
schedule will be announced on Piazza. Test 1: Tuesday
September 29, 2015, 11AM-12:15PM Test 2: Thursday October
29, 2015, 11AM-12:15PM Test 3: Tuesday December 1, 2015, 11AM-12:15PM Concept test: Thursday
December 3, 2015, 11AM-12:15PM. Final Exam: Tuesday December 8, 2015: 10AM-12noon, 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. 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 test is a multiple choice questions
test with anywhere from 16-30 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 January 14, 2016 will
be discarded. Final exams or concept tests are not returned. Attendance is not compulsory and 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 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 2012-13. 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. CLASS RULES 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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