Graphing functions -- Introduction to limits of functions -- Zooming in -- Discovering the derivative -- Investigating the intermediate value theorem -- Relationship between a function and its derivative -- Linking up with the chain rule -- Sensitivity analysis -- Newton's method -- Indeterminate limits and l'Hôpital's rule -- Riemann sums and the definite integral -- Area functions -- Average value of a function -- Arc length -- A mystery function -- Exploring exponentials -- Patterns of integrals -- Numerical integration -- Becoming secure with sequences -- Getting serious about series -- Limit comparison test -- Approximating functions by polynomials -- Radius of convergence for power series -- Polar equations -- Differential equations and Euler's method -- Shapes of surfaces .

"The availability of electronic aids for calculating makes it possible for students...to discover for themselves numerous ideas once acccessible only on the basis of theoretical considerations. This collection provides questions and suggestions on 26 different topics." -- p.ix .