|
Date
|
Topic
|
Reading
|
|
Aug 25
|
Organization, review of prerequisites, and introduction
[example_plot.m][spring.m]
|
Ch 1
|
|
Aug 27
|
Introduction to Matlab and computer programming [Matlab
diary file:
lec02.txt]
|
Ch 2
|
|
Aug 29
|
Matlab .m-Files [bungee.m,
bungee_fun.m]
|
3.1-3.3
|
|
Sept 1
|
Input/Output control and program control structures
|
3.4
|
|
Sept 3
|
Program iteration structures and methods for program
development [bungee_for.m, bungee_while.m]
|
3.5-3.6
|
|
Sept 5
|
Programming in Matlab 1 [bungee.m]
|
--
|
|
Sept 8
|
Programming in Matlab 2
[main.m,
bungee.m]
|
--
|
|
Sept 10
|
Error and the
Taylor
series expansion
|
4.1-4.3
|
|
Sept 12
|
Ike - classes canceled
|
|
|
Sept 15 |
Numerical differentiation |
4.3-4.4 |
|
Sept 17
|
Root finding:
Bisection and false-position methods [bisection.m,
increm.m ]
|
Ch 5
|
|
Sept 19
|
Open methods: Newton-Raphson and Secant methodsChap6.ppt
|
6.1-6.2
|
|
Sept 22
|
Root finding: Matlab functions
[beam_example.m,
beammax.m,
beampos.m]
|
6.3-6.5
|
|
Sept 24
|
Linear Algebraic Equations
|
Ch 8
|
|
Sept 26
|
Linear Algebra and Gauss Elimination [truss.m]
|
Ch 9
|
|
Sept 29
|
Gauss Elimination, Partial Pivoting and the LU
Decomposition
|
10.1-10.2
|
|
Oct 1
|
Cholesky decomposition[Exam Review]
|
10.3
|
|
Oct 3
|
EXAM 1
Programming, Taylor series, root
finding, and Elementary Matrices
|
|
|
Oct 6
|
Matrix Condition number and Matlab commands [Matlab
diary file:
lec18.txt]
|
10.2
|
|
Oct 8
|
Matrix inverse
|
11.1
|
|
Oct 10
|
Iterative methods:
Gauss-Seidel [exam], [main.m, GaussSeidel.m]
|
Ch 12
|
|
Oct 13
|
Introduction to linear least squares [NaiveGauss.pdf]
|
13.1-13.2
|
|
Oct 15
|
Least-squares regression and linearization
|
13.3-13.4
|
|
Oct 17
|
Goodness-of-fit measures for linear least squares [powerfit.m][nonlinear_regression.xls]
|
14.1-14.3
|
|
Oct 20
|
Matrix equations for nonlinear least squares
|
14.4-14.5
|
|
Oct 22
|
Lagrange Interpolating Polynomial [curve_fit.m]
|
Ch 15
|
|
Oct 24
|
Numerical calculus, Trapezoidal rule
|
17.1-17.3
|
|
Oct 27
|
Simpson's 1/3 Rule
|
17.4-17.7
|
|
Oct 29
|
EXAM 2
Matrices, curve fitting, and
interpolation
|
|
|
Oct 31
|
Initial value problems: Euler's method and improved
Euler's method[midpt_example.m]
|
20.1-20.3
|
|
Nov 3
|
Runge-Kutta methods
|
20.4
|
|
Nov 5
|
Systems of eq's for higher order ODEs [main.m, springs.m]
|
20.5
|
|
Nov 7
|
Matrix methods for ODEs. [exam_review, main.m,
building.m]
|
20.5
|
|
Nov 10
|
Adaptive methods and stiff systems
|
Ch 21
|
|
Nov 12
|
Romberg integration
|
18.1-18.2
|
|
Nov 14
Nov 17
|
Boundary value problems [Boundary_Value.pdf], [exam
II.pdf]
|
Ch 22
|
|
Nov 19
|
Boundary value problem example [beam.m]
|
Ch 22
|
|
Nov 21
|
Eigenvalue problems
|
Appendix A
|
|
Nov 24
|
Eigenvalue problems and Matlab
|
Appendix A
|
|
Nov 26
|
Partial differential equations [PDEs.pdf]
|
--
|
|
Dec 1
|
Elliptic finite difference methods [Elliptic_Eqns.pdf;
groundwater.m]
|
--
|
|
Dec 3
|
Parabolic finite difference methods and Course review
[Parabolic_Eqns.pdf; transport.zip]
|
--
|
|
Dec 5
|
Catch up
|
--
|
|
|
Review for Final Exam [exam_review]
|
|
|
Dec 10
|
FINAL EXAM 10:30 a.m.-12:30 p.m. in Zachry 127B:
--Comprehensive--
|
|