| Date |
Lecture Number |
Reading Section |
Topic Discussion |
| Jan. 16 |
Lecture 1 |
Read 1.1 - 1.3 |
The initial discussion is on using Matlab
and setting up files and running programs. |
| Jan. 18 |
Lecture 2 |
Read Chap. 1 |
| Jan. 23 |
Lecture 3 |
Read Chap. 1 |
Demostration of computer programs and how
to setup the program. |
| Jan. 25 |
Lecture 4 |
Read Chap 1 |
| Jan. 30 |
Lecture 5 |
Read Chap 2 |
The week discussed
computer errors and methods of single variable calculations. Homework is
assigned and will be due (2/8/01),
Assignment 1 |
| Feb. 1 |
Lecture 6 |
Read Chap. 2 |
| Feb. 6 |
Lecture 7 |
Read Chap. 3 |
The week continues with
one variable problems and starts the topic of matrix manipulation, i.e.
Gaussian Elimination.
|
| Feb. 8 |
Lecture 8 |
Read Chap. 3 |
| Feb. 13 |
Lecture 9 |
Read Chap. 4 |
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. The second homework set is given in
Assignment 2 |
| Feb. 15 |
Lecture 10 |
Read Chap. 4 |
| Feb. 20 |
Lecture 11 |
Read Chap. 5 |
Discussion on how to
handle nonlinear numerical problems using succcessive over relaxation,
newton method, and problems with the stability of nonlinear problems.
|
| Feb. 22 |
Lecture 12 |
Read Chap. 5 |
| Feb. 27 |
Lecture 13 |
Read Chap. 6 |
The lectures cover the
topics of LU decomposition, Cout's method, Doolittle method, Cholesky's method
and how to solve problems using the techniques. The third homework is assigned
to be turned after Spring Break,
Assignment 3 |
| Mar. 1 |
Lecture 14 |
Read Chap. 6 |
| Mar. 6 |
Exam 1 |
|
The exam is to be given in class and will be open notes and
open book. The lecture will continue with LU decomposition.
|
| Mar. 8 |
Lecture 15 |
Read Chap. 6 |
| Mar. 13 |
Spring Break |
| Mar. 15 |
| Mar. 20 |
Lecture 16 |
Read Chap. 7 |
The lectures introduce the topic of eigenvalues and eigenvectors and how
to determine them using Power method, Inverse Power methods and QR techniques
|
| Mar. 22 |
Lecture 17 |
Read Chap. 7 |
| Mar. 27 |
Lecture 18 |
Read Chap. 8 |
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.
Assignment 4 |
| Mar. 29 |
Lecture 19 |
Read Chap 8 |
| Apr. 3 |
Lecture 20 |
Read Chap 9 |
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.
|
| Apr. 5 |
Lecture 21 |
Read Chap. 9 |
| Apr. 10 |
Lecture 22 |
Read Chap. 11 |
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.
|
| Apr. 12 |
Lecture 23 |
Read Chap. 11 |
| Apr. 17 |
Lecture 24 |
Read Chap 12 |
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. The last assignment is available
in
Assignment 5 |
| Apr. 19 |
Lecture 25 |
Read Chap. 12 |
| Apr. 24 |
Exam 2 |
|
Last exam and review for the final.
|
| Apr. 26 |
Lecture 27 |
|