|
|
EML3041 Spring 2015 Â Â
  Â
  Course
Number: EML 3041 Course
Name: COMPUTATIONAL METHODS Credit
Hours: 3 Pre‑Requisites:Â MAP 2302: Differential Equations, EML 3035:
Programming Concepts for Mechanical Engineers, EML3500 Mechanic s of Solids,
EGN3343 Thermodynamics Â
Course
Website: Go to the CANVAS course. Click on Piazza. Class
Location & Time: EDU
115 MW
2:00PM - 3:15PM. COURSE
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.
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.Â
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)
aÂ
knowledge of contemporary issues;Â 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. Autar Kaw Office Location: ENC 2215 Telephone: 813‑974-5626 E-mail: kaw@usf.edu
Office Hours: Monday 10:30am-11:45 am Wednesday 3:30pm-4:30pm 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: Tuesday: 11:30am-1pm 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.Â
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).Â
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.Â
Bring the calculator to every 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. Holiday: Monday January
19, 2015 Test 1: Monday February
9, 2015, 2-3:15PM Holiday: Monday March 2,
2015 Holiday : Wednesday
March 4, 2015 Test 2: Monday March 23,
2015, 2-3:15PM Test 3:Â Monday April 20, 2015, 2-3:15PM Concept test: Wednesday
April 22, 2015, 2-3:15PM. Final Exam: Monday April 27, 2015: 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:Â 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.Â
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. Â Â 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. 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 27 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+Â is 98‑100 (4.00) ÂGrade
A is 90-97 (4.00) ÂÂÂÂÂGrade A- is 86-89 (3.67) Grade
B+ is 83-85 (3.33) ÂÂÂÂÂGrade B is 80-82 (3.00) ÂÂÂÂÂÂÂGrade B- is 76-79 (2.67) Grade
C+ is 73-75 (2.33) ÂÂÂÂÂGrade C is 70-72 (2.00) ÂÂÂÂÂÂÂGrade C–
is 66-69 (1.67) Grade
D+ is 63-65 (1.33) ÂÂÂÂÂGrade D is 60-62 (1.00) ÂÂÂÂÂÂÂGrade 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 (2014-2015). Â 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 (2014-2015). 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. Â Graded assignments and tests
not picked up by August 31, 2015 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. Â
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.Â
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.Â
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.â€
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 “incompleteâ€
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 “Fâ€
or an “FF†grade (the latter indicating academic
dishonesty) in the course, suspension or expulsion from the University.â€Â 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.Â
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. |
|||||||||||||||||
|
|
|
