Preface -- Acknowledgements -- Author biography -- An overview of SMath Suite -- What is SMath Suite? -- How do I get SMath Suite? -- How can I get help with SMath? -- The SMath interface -- Constructing regions -- Greek characters -- Option settings -- Scratchpad calculations -- Simple algebraic calculations -- Subscripted variables -- Working with units -- Physical and mathematical constants -- SMath functions -- Matrices and vectors -- Drawing graphs -- Solving equations and finding roots -- Symbolic differentiation -- Programming -- Snippets -- Appendix A. SMath functions

Introductory physics : some simple problems -- Mass on a string -- Kinetic energy of a merry-go-round -- Telescope resolution -- Dimensional analysis -- Solving a cubic equation with polyroots -- Conservation of energy -- Stone dropped down a well (solve function) -- Roller-coaster problem (function solve) -- Bullet velocity -- Water depth -- Balmer series -- Uncertainty calculation -- Calculate the age of a rock -- The ladder problem : search method -- The ladder problem : solved with differentiation -- Circuit analysis : matrix math -- Thermistor quality control -- Fourier series -- Self-test projects

Trajectory of a projectile -- A simple calculation -- An improved plot -- Trajectory when drag is considered -- Did we use a small enough [delta]t increment? -- What is the purpose of the Eval function?

Linear regression -- Simple linear regression -- Zero intercept -- Multiple linear regression -- Multiple linear regression using a vector function -- Multiple regression : some exercises

Root finding -- Fixed point iteration -- Bisection method -- The secant method -- Newton-Raphson method -- Self-test

Numerical integration -- Simpson's 1/3 rule -- Simpson's 1/3 rule with tabular data -- Numerical integration using a Monte Carlo method

Solving differential equations -- The Euler approximation -- Runge-Kutta method -- Cooling by radiation -- Runge-Kutta for systems of equations -- Second-order differential equations

The SMath Viewer -- The basic steps -- A better GUI -- Working with units -- Adding tabs

Data exchange with external files -- Wfile and rfile functions -- The importData(9) function

SMath with Maxima -- Saving options -- The XY plot feature -- Maxima's equation solving functions -- Golden section search -- Linear regression -- Symbolic integration -- Data exchange (wfile and rfile) -- Data exchange with Microsoft Excel® -- Differential equations -- Statistics.