ENGI 9420 Engineering Analysis
Demonstration Files

Chapter 1 (Ordinary Differential Equations):
Maple worksheet to illustrate the solutions of various first order ODEs.
Maple worksheet to illustrate the solutions of various second order ODEs.
Maple worksheet to illustrate the series solutions of various ODEs.

Chapter 2 (Matrix Algebra):
Program to perform the arithmetic of row operations for linear systems.
Excel Worksheet to find real eigenvalues and unit eigenvectors for most 2×2 real matrices.

Chapter 3 (Numerical Methods):
Excel Worksheet for the bisection method (numerical solution of   f (x) = 0)
Excel Worksheet for the Newton-Raphson method (numerical solution of   f (x) = 0)
Excel Worksheet for the RK4 method (numerical solution of   y' = f (x, y),   y(x₀) = y₀)

Chapter 4 (Stability Analysis):
Maple worksheet for the motion of a damped pendulum.
Excel Worksheet for stability analysis (systems of simultaneous linear ODEs)
Illustration of different types of singularity for a linear system.

Chapter 7 (Fourier Series):
Maple Worksheet for Example 7.02.2 (f (x) = p - x on [0, p];   = 0 on [-p, 0).)

Chapter 8 (Partial Differential Equations):
Maple Animation for waves on finite string (Example 8.02.2)
Maple Animation for wave on infinite string (Example 8.04.1)
Maple Animation for temperature on a bar (Example 8.06.1)