Introduction to the Foundations of Applied Mathematics (2nd Edition)

Study Aids

• Figures from textbook (all of them)
• Table 1.1
• Table 2.1
• Table 4.1

Chapter 2: Perturbation Methods

Useful MATLAB Files

• lbvp.m General solver for BVP: y'' + p(x)y' + q(x)y = f(x)
• nbvp.m General solver for BVP: y'' = f(x, y, y')

Chapter 3: Kinetics

Movie Files (left click to stream and right click to download)

• Figure 3.6the movie
• Figure 3.14the movie
• Figure 3.17the movie
• Figure 3.19the movie

Extras

• kinetics.v3.mpl This is a Maple program that can be used to analyze reactions.
• mm.mw This is an example Maple session using kinetics.v3.
• Manual This is a manual for kinetics (note kinetics.v3 is an updated version but works the same way as kinetics).

Chapter 4: Diffusion

Figure 4.1 The movie version
Ref: “Measurement of the Translational and Rotational Brownian Motion of Individual Particles in a Rarefied Gas,”
by J. Blum, S. Bruns, D. Rademacher, A. Voss, B. Willenberg, and M. Krause
Physical Review Letters, vol. 97, Issue 23, 230601 (2006)

Movie Files (left click to stream and right click to download)

• Figure 4.2The movie version
• Figure 4.10The movie version
• Figure 4.12The movie version
• Figure 4.17The movie version
• Figure 4.24The movie version
• Exercise 4.8The movie version

Chapter 5: Traffic Flow

Chapter 6: Continuum Mechanics: One Spatial Dimension

Chapter 7: Elastic and Viscoelastic Materials

Chapter 8: Continuum Mechanics: Three Spatial Dimensions

Chapter 9: Fluids

Figure 9.5 The movie version
Ref: “Velocity Field in a Pipe,” Experiment of the Month, Physics Department, Millersville University
http://www.millersville.edu/physics/experiments/067/