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Course schedule: Monday
10.00-11.50 (D7), Wednesday 15.00-16.50 (D4) Section 22: Tuesday
15.00-16.50 (D4), Friday 10.00-11.50 (D6) Place: Class D6 or D4,
Chemical Engineering Department, Tutorials in Computer Lab or Class Course
Catalog Description: (2.2.3) Mathematical modeling, computation
and error analysis. Solving systems of linear algebraic equations. Solving
nonlinear systems and optimization. Curve fitting, interpolation and function
approximation. Numerical differentiation and integration. Solution of
ordinary and partial differential equations, finite difference techniques. Course Objectives:
This class
proposes an introduction numerical methods, especially using softwares such as MATLAB®. Students will be confronted to
the study of simple physical problems and learn the fundamental techniques or
numerical analysis that are used to solve them using a computer when an
analytical solution is not available. Students will improve their use of a
programming language, to write simple codes and implement the numerical
methods covered during the lectures. Textbook:
S. C. Chapra, Applied Numerical Methods with MATLAB® for
Engineers and Scientists, 3rd ed., Mc Graw Hill,
2012. Selected
Supplementary References: - L. v. Fausett, Applied Numerical Analysis Using MATLAB®, 2nd
ed., Prentice Hall, 2008. - A.
Constantinides and N. Mostoufi,
Numerical Methods for Chemical Engineers with MATLAB® Applications, Prenctice-Hall Inc., NJ, 1999. - J. H.
Mathews and K. D. Fink, Numerical Methods: Using MATLAB®, 4th ed., Upper
Saddle River, NJ: Prentice Hall, 2004. 2.
Solution of linear systems 3.
Root-finding and solutions of nonlinear equations 4. Curve
fitting and interpolation 5.
Numerical differentiation and integration 6.
Solution of Ordinary Differential Equations (ODE) POLICIES
AND PROCEDURES Webpage It is your
responsibility to follow the course web page regularly for announcements. MATLAB
® It is
assumed that the students have a basic knowledge of MATLAB®, although there
will be a short review. You will be assigned homeworks
based on MATLAB. Attendance
Policy Students
have the right to attend 100% of the lectures. Remember that missing more
than 3 days of class is likely to result in low grades based on former
experience. If you miss more than 30% of the classes you will get an F1. Quizzes At the
beginning of some classes, there might be mini-quizes.
These will be for 15-30 minutes and simple questions for you to test your
progress. Homeworks *You are
expected to work in groups of two or three, and submit one solution set per
group. *When the
assignment includes the writing of short MATLAB programs, the text of the
code as well as its output must be turned in on hard copy with the rest of
the assignment. *Late
homework will be accepted up to 2 days after the due date, but with 20%
reduction in grade, per day. *Staple
all pages of your work and please do not use a plastic envelope. Examinations There will
be one midterm exam and a final exam. It is your responsibility to understand
the exam questions. If you miss an exam due to medical reasons, you may ask
for a makeup exam at the end of the semester, provided that you bring proper
documentation from your doctor. Exam dates will be
announced in class and on the web page. Grading At the end
of the semester your weighted average grade will be calculated as follows: One
midterm exam : 35 % |