1. The Tractrix and Similar Curves.- 2. Trajectory of a Spinning Tennis Ball.- 3. The Illumination Problem.- 4. Orbits in the Planar Three-Body Problem.- 5. The Internal Field in Semiconductors.- 6. Some Least Squares Problems.- 7. The Generalized Billiard Problem.- 8. Mirror Curves.- 9. Smoothing Filters.- 10. The Radar Problem.- 11. Conformal Mapping of a Circle.- 12. The Spinning Top.- 13. The Calibration Problem.- 14. Heat Flow Problems.- 15. Modeling Penetration Phenomena.- 16. Heat Capacity of System of Bose Particles.- 17. Free Metal Compression.- 18. Gauss Quadrature.- 19. Symbolic Computation of Explicit Runge-Kutta Formulas.- 20. Transient Response of a Two-Phase Half-Wave Rectifier.- 21. Circuits in Power Electronics.- 22. Newton's and Kepler's Laws.- 23. Least Squares Fit of Point Clouds.- 24. Modeling Social Processes.- 25. Contour Plots of Analytic Functions.- 26. Non-Linear Least Squares: Finding the Most Accurate Location of an Aircraft.- 27. Computing Plane Sundials.- 28. Agriculture Kinematics.- 29. The Catenary Curve.- 30. Least Squares Fit with Piecewise Functions.- 31. Portfolio Problems - Solved Online.- Appendix A. Shared Knowledge of Maple and Matlab.- Index.- Index of used Maple Commands.- Index of Used Matlab Commands