Tentative schedule of lectures

Lecture Topics Sections
I Basic elements of MATLAB 1.2
2 Basic elements of C++ 1.3
3 Simple programs; Precision & round-off 1.4-5
4 Projectile motion; Simple methods for ODEs 2.1
5 Simple pendulum; Verlet's method 2.2
6 Kepler problem 3.1
7 Runge-Kutta methods 3.2
8 Adaptive methods 3.3
9 Lorenz model 3.4

10 Steady states; Linear systems of equations 4.1-2

11 Linear systems of equations (cont.) 4.2-3
12 Solving nonlinear equations 4.4
13 Analysis of data; Curve fitting 5.1
14 Fast Fourier transforms (FFTs) 5.2
15 Normal modes; Leeway 5.3
16 Midten-n Ch. 1-5
17 Fundamentals of PDEs 6.1
18 Diffusion equation; FTCS scheme 6.2-3
19 Hyperbolic equations 7.1
20 Traffic flow 7.2
21 Laplace's equation; Relaxation methods 8.1
22 Poisson's equation; Spectral methods 8.2
23 Von Neumann stability 9.1
24 Implicit methods 9.2
25 Special functions 10.1
26 Quadrature; Romberg algorithm 10.2
27 Random number generators 11.1-2

THERE IS NO FINAL EXAM IN THIS COURSE.