chapter 1 Introduction -- chapter 2 Elementary Aspects of MATLAB Graphics -- chapter 3 Summary of Concepts from Linear Algebra -- chapter 4 Methods for Interpolation and Numerical Differentiation -- chapter 5 Gauss Integration with Geometric Property Applications -- chapter 6 Fourier Series and the Fast Fourier Transform -- chapter 7 Dynamic Response of Linear Second Order Systems -- chapter 8 Integration of Nonlinear Initial Value Problems -- chapter 9 Boundary Value Problems for Partial Differential Equations -- chapter 10 Eigenvalue Problems and Applications -- chapter 11 Bending Analysis of Beams of General Cross Section -- chapter 12 Applications of Analytic Functions -- chapter 13 Nonlinear Optimization Applications.