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General Information
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Instructor: |
Dr. E.W. Sandt |
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Grader: |
Feng-pin An |
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Office: |
207 CVEN Building |
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Office: |
Civil/TTI building 501A |
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Phone #: |
458-4780 |
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Phone #: |
458-4147 |
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Office Hours: |
2:00pm-4:00pm MWF
or by appointment
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Office Hours:
Lab Hours: |
Wed. 12:30 - 2:00 PM or by appointment
RM 217 (CVEN Building)
Wed. Evening 6:30 - 8:30 PM |
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Email : |
esandt@stommel.tamu.edu |
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Email : |
CVEN_TA@myrealbox.com |
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URL : |
stommel.tamu.edu/~esandt/ |
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URL : |
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The class grade is determined as the follow percentages. The grade follows
the standard method 90-100 A , 80-89 B , 70-79 C ,
60-69 D , and below 60 F .
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Percentage of Final
Grade |
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Homework |
25 % |
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Exam 1 |
20 % |
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Exam 2 |
20 % |
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Final |
35 % |
Homework will be assigned every class and will be collected at the
two class period later. This is a problems course, and you are
going to do problems. However, you can work in groups on the homework. I
want you to learn the material.
Textbook: Fausett , Applied Numerical Analysis, Using Matlab
, 1999
Outline
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Date |
Topic |
Reading |
June 3 -
June 7 |
Syllabus & grading; Introduction and
overview of the class; Numerical Analysis and Computers; Introduction to
Matlab
Matlab introduction continue; Matlab files and data files; Input/Output
files: Relative/Logistic/Arithmetic Operations; Operational Precedence:
Program flow controls:"if", "switch", "for", and "while" ; Designing a
program; Debug techniques;
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Chap. 1
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June 10 -
June 14 |
Numerical Errors; Computer problems; Introduction to 1 variable methods;
Bisection method, linear interpolation, Secant method, Newton's method, and
Muller's method. Begin with systems of equations, Gauss elimination, etc.
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Chap 2 & 3
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June 17 -
June 21 |
The material covers the
systems of equations and setting them up in matrix format. Discuss the
solving systems of equations using Gaussian elimination, Gauss-Seidel, and
Gauss-Jordan.
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Chap. 3 & 4
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June 24 -
June 28 |
Discussion on how to handle nonlinear numerical problems using succcessive
over relaxation, newton method, and problems with the stability of
nonlinear problems. The lectures cover the topics of LU decomposition,
Cout's method, Doolittle method, Cholesky's method and how to solve
problems using the techniques.
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Chap. 5 & 6
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July 1 -
July 5 |
Exam 1 will be open book and open notes, however you are going to need
know the material. The lectures will continue with LU decomposition and start
the discussion on eigenvalues and eigenvectors.
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Chap. 6 & 7
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July 8 -
July 12 |
The lectures introduce the topic of eigenvalues and eigenvectors and how
to determine them using Power method, Inverse Power methods and QR techniques
Introduction of interpolation between points using Lagrange, Newton
and linear interpolation. Using interpolation techniques to analysis
data points between values.
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Chap. 7 & 8
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July 15 -
July 19 |
The introduction of
Rational function, Hermite polynomials and Cubic splines. The lecture
dealt with least square techniques to find the best curve fit for the data.
Discussed nonlinear least square techniques (log-log), quadratic and Legrende
polynomials to model the space.
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Chap. 8 & 9
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July 22 -
July 26 |
Discussion on how to
do simple derivatives using Taylor series to obtain the formulas, estimating
the error and how to refine the derivatives. The integration techniques using
Trapezoidal, Simpson's method 1/3 and 3/8, Gaussian Quadrature and Romberg
refinements.
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Chap. 11 & 12
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July 29 -
Aug. 2 |
Exam 2 is to be given in class and will be open notes and open
book. Discussion on how to
do initial value problems with Taylor series, Euler, Modified Euler/Midpoint
method/Linear Runge Kutta, Classic (4th order) Runge Kutta, Adam
Bashford and Predictor Corrector techniques.
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Chap. 12 & 13
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Aug. 5 -
Aug. 9 |
Discussion of systems of ODEs and discussion of BVP.
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Chap. 13 & 14
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Aug. 13 |
Final Exam - August 13 from 10:30 AM - 12:30 PM
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