|
Date |
Lecture Number |
Reading Section |
Homework |
Topic |
|
May 28 |
Lecture 1 |
Chap. 1 |
HW 1 |
The initial discussion is on using Matlab and setting up files and
running programs.
|
|
May 30 |
Lecture 2 |
Chap. 1 |
HW 2 |
|
June 1 |
Lecture 3 |
Chap. 1 |
HW 3 |
|
June 4 |
Lecture 4 |
Chap. 2 |
HW 4 |
Demostration of computer programs and how to setup the program. The
week discussed computer errors and methods of single variable calculations.
|
|
June 6 |
Lecture 5 |
Chap. 2 |
HW 5 |
|
June 8 |
Lecture 6 |
Chap. 3 |
HW 6 |
|
June 11 |
Lecture 7 |
Chap. 3 |
HW 7 |
The week continues with
one variable problems and starts the topic of matrix manipulation, i.e.
Gaussian Elimination. 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.
|
|
June 13 |
Lecture 8 |
Chap. 4 |
HW 8 |
|
June 15 |
Lecture 9 |
Chap. 5 |
HW 9 |
|
June 18 |
Lecture 10 |
Chap. 5 & 6 |
HW 10 |
Discussion on how to
handle nonlinear numerical problems using succcessive over relaxation,
newton method, and problems with the stability of nonlinear problems.
|
|
June 20 |
Lecture 11 |
Chap. 6 |
HW 11 |
|
June 22 |
Lecture 12 |
Chap. 7 |
HW 12 |
|
June 25 |
Exam 1 |
|
|
The exam is to be given in class and will be open notes and open book. The
lectures cover the topics of LU decomposition, Cout's method, Doolittle
method, Cholesky's method and how to solve problems using the techniques.
|
|
June 27 |
Lecture 13 |
Chap. 7 |
HW 13 |
|
June 29 |
Lecture 14 |
Chap. 8 |
HW 14 |
|
July 2 |
|
|
HW J1 |
The lectures introduce the topic of eigenvalues and eigenvectors and how
to determine them using Power method, Inverse Power methods and QR techniques
|
|
July 4 |
|
|
HW J4 |
|
July 6 |
Lecture 15 |
Chap. 8 |
HW 15 |
|
July 9 |
Lecture 16 |
Chap. 9 |
HW 16 |
The introduction of interpolation between points using Lagrange, Newton
and linear interpolation. Using interpolation
techniques to analysis data points between values. 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.
|
|
July 11 |
Lecture 17 |
Chap. 9 |
HW 17 |
|
July 13 |
Lecture 18 |
Chap. 11 |
HW 17 |
|
July 16 |
Lecture 19 |
Chap. 11 |
HW 18 |
Discussed nonlinear least square techniques (log-log), quadratic and Legrende
polynomials to model the space. 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.
|
|
July 18 |
Lecture 20 |
Chap. 12 |
HW 19 |
|
July 20 |
Lecture 21 |
Chap. 12 |
HW 20 |
|
July 23 |
Lecture 22 |
Review |
|
The exam 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.
|
|
July 25 |
Exam 2 |
|
|
|
July 27 |
Lecture 23 |
Chap. 13 |
HW 21 |
|
July 30 |
Lecture 24 |
Chap. 14 |
HW 22 |
Discussion of systems of ODEs and discussion of BVP.
|
|
Aug. 1 |
Lecture 25 |
Chap. 14 |
|
|
Aug. 3 |
Lecture 26 |
Chap. 14 |
|