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EML3041 Spring 2009 Course Number EML 3041 Course Name COMPUTATIONAL METHODS Credit Hours 3 Pre‑Requisites: MAP 2302: Differential Equations, and EML 3035: Programming Concepts for Mechanical Engineers Class Location & Time MW: 2PM-2:50PM in BSN 2208 (will not meet Fridays for this time slot) F: 11:50AM -
1:40PM in LIF 272 or ENB228. Check the
schedule for which room to go to. COURSE
OBJECTIVES:
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. Understand the concept and steps
of problem solving - mathematical modeling, solution and implementation. (e) 2. Learn 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. Learn how to find real roots of
nonlinear equations of the form f(x)=0 using bisection method and
Newton-Raphson method. (a, e) 5. Learn 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. Learn the LU Decomposition
method to find solution for multiple right hand arrays or inverse of a square
matrix. (a, e, n) 6. Learn methods to fit a curve to
given data points via interpolation and regression. Learn direct and spline interpolation
methods of interpolation. Learn how to
find linear and nonlinear regression models for give data. (a, b, e, n) 7. Learn methods of integration
such as Trapezoidal rule and Gauss-Quadarture 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. Learn 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. Office Location: Telephone: 813‑974-5626 E‑mail: kaw@eng.usf.edu Website for course http://www.eng.usf.edu/~kaw/class/EML3041/ Website for resources:http://numericalmethods.eng.usf.edu Blackboard Website for checking
grades/taking surveys https://my.usf.edu Instructor Website: http://www.eng.usf.edu/~kaw Office Hours: Friday
10:45AM-11:45AM OR call 813‑974-5626 for
making an appointment for consultation outside office hours TA INFORMATION TA: Sri Garapati Office Location: ENG 205 ( Telephone: 813-396-9350 E-mail: mailto:sgarapat@mail.usf.edu Office hours: Monday 1-2:30PM;
Wednesday 10:30AM-12:00AM Or send e-mail
for making an appointment for consultation outside office hours. TA: Sean Rodby Office Location: ENG 205 ( Telephone: 813-396-9350 E-mail: mailto:srodby@mail.usf.edu Office hours: Tuesday 2:00PM-3:30PM; Thursday 9:15AM-10:45AM Or send e-mail
for making an appointment for consultation outside office hours. 1. Numerical Methods with
Applications: Abridged by 2. Your MATLAB book for EML 3035
(The one written by Chapman) 3. Buying MATLAB software for home
use is optional. You may already have
this from the EML3035 course. You can
always use MATLAB free of charge in ENB118 (next to fish bowl in Engineering
II building), ENB229, and LIB 125C (first floor lab in the Library). MATLAB REFRESHER Matlab overview and refresher: http://www.eng.usf.edu/~kaw/class/programming No programmable calculators are allowed in the classroom or
tests. You can only use
nonprogrammable calculators for class work, homework, and tests. The only acceptable calculators are TI-30Xa and TI-30Xa Solar. 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. 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 Week 1 Jan 5: Intro, Approx, Errors BSN 2208 2:00PM-2:50PM Jan 7: Concept Inventory
Test#1 BSN 2208 2:00PM-2:50PM Jan 9: Programming Lab (Last name A-M) ENB116 11:50AM -
1:40PM Week 2 Jan 12: Intro, Approx,
Errors BSN 2208 2:00PM-2:50PM Jan 14: Intro, Approx,
Errors BSN 2208 2:00PM-2:50PM Jan 16: Programming Lab (Last Name N-Z) ENB228 11:50AM -
1:40PM Week 3 Jan 19: Martin Luther King
Birthday HOLIDAY Jan 21: Intro, Approx,
Errors BSN 2208 2:00PM-2:50PM Jan 23: Programming Lab (Last name A-M)
ENB228 11:50AM - 1:40PM Week 4 Jan 26: Intro, Approx,
Errors BSN 2208 2:00PM-2:50PM Jan 28: Differentiation BSN
2208 2:00PM-2:50PM Jan 30: Programming Lab (Last Name N-Z) ENB228 11:50AM - 1:40PM Week 5 Feb 2: Differentiation BSN
2208 2:00PM-2:50PM Feb 4: Differentiation BSN
2208 2:00PM-2:50PM Feb 6: Test#1 LIF 272 11:50AM - 1:40PM Week 6 Feb 9: Nonlinear Equations BSN
2208 2:00PM-2:50PM Feb 11: Nonlinear Equations
BSN 2208 2:00PM-2:50PM Feb 13: Experimental Lab (Groups 1-6) LIF 272 11:50AM - 1:40PM Week 7 Feb 16: Simultaneous Linear
Equations BSN 2208 2:00PM-2:50PM Feb 18: Simultaneous Linear
Equations BSN 2208 2:00PM-2:50PM Feb 20: Experimental Lab (Groups 7-12) LIF 272 11:50AM - 1:40PM Week 8 Feb 23: Simultaneous Linear
Equations BSN 2208 2:00PM-2:50PM Feb 25: Simultaneous Linear
Equations BSN 2208 2:00PM-2:50PM Feb 27: Week 9 March 2: Simultaneous Linear
Equations BSN 2208 2:00PM-2:50PM March 4: Simultaneous Linear
Equations BSN 2208 2:00PM-2:50PM March 6: Week 10 March 9: Interpolation BSN
2208 2:00PM-2:50PM March 11: Interpolation BSN
2208 2:00PM-2:50PM March 13: Interpolation LIF 272 11:50AM - 1:40PM Week 11 March 16: Spring Break March 18: Spring Break March 20: Spring
Break Week 12 March 23: Regression BSN
2208 2:00PM-2:50PM March 25: Regression BSN
2208 2:00PM-2:50PM March 27: Test#2 LIF 272 11:50AM - 1:40PM Week 13 March 30: Regression BSN
2208 2:00PM-2:50PM April 1: Regression BSN
2208 2:00PM-2:50PM April 3: Integration LIF 272 11:50AM - 1:40PM Week 14 April 6: Integration BSN
2208 2:00PM-2:50PM April 8: Integration BSN
2208 2:00PM-2:50PM April 10: Integration LIF 272 11:50AM - 1:40PM Week 15 April 13: Ordinary
Differential Equations BSN 2208 2:00PM-2:50PM April 15: Ordinary
Differential Equations BSN 2208
2:00PM-2:50PM April 17: Ordinary
Differential Equations LIF 272 11:50AM
- 1:40PM Week 16 April 20: Ordinary
Differential Equations BSN 2208
2:00PM-2:50PM April 22: Concept Inventory
Test BSN 2208 2:00PM-2:50PM April 24: Test#3 LIF 272 11:50AM - 1:40PM FINAL EXAM WEEK Final Exam: Wednesday, April 29 3-5PM BSN 2208 COURSE
GRADE and GRADING POLICY
Tests#1, 2 and 3: Each test is graded out of 100. Tests are closed book
and closed notes. A formula sheet made
by the instructor may be allowed. Concept Inventory Tests: The test has 16
multiple-choice questions and the Concept Inventory Test is graded out of
16. This test is closed book, closed
notes, NO formula sheet, NO calculator.
Test lasts exactly 50 minutes. Lab reports: Lab 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 lab report 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 Computer or lab projects are graded out of 100 points
but may carry individual different weightage (discretion of instructor but
will be same for every student) depending on the length of the project. Final Exam: Final exam is a 32-question multiple-choice cumulative/
comprehensive examination that lasts 2 hours.
Each question has four choices.
Four questions are asked from each of the eight topics. 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 21
years of teaching Curving the Grade: The adjustments made to your course grade is as
follows and is made to the tests#1 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 3 tests is less than 70% Extra Credit: You can earn up
to 0.5 extra credit points per survey for the course grade by filling some
ABET type surveys or personal essays on numerical methods. 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 (2008-2009). 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 (2008-2009). 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, 2009 will be discarded. Attendance is not compulsory
but you are responsible for topics covered in class Re-grading of a test Grades will be updated on https://my.usf.edu after each test is graded. NO make‑up tests will be
given. However 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 Any student who feels he/she may need an accommodation
based on the impact of a disability should contact the Office for Student
Disability Services at ACADEMIC DISHONESTY
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