From Archimedes to Newton -- Greeks measure the universe -- Ptolemy and the dynamics of the universe -- Archimedes computes areas -- New astronomy and a new geometry -- Calculus of Leibniz -- Calculus of Newton -- Principia -- Calculus and the sciences -- Analysis of functions -- Connections with statics, dynamics, and optics -- Basic functions and their graphs -- Exponential function and the measurement of age and growth -- Calculus of economics -- Integral calculus : meaning and method -- Integral calculus and the action of forces.
