Preface -- Acknowledgments -- Integration, Area, and Initial Value Problems -- Parametric, Polar, and Vector Functions -- The Arithmetic, Geometry, and Calculus of Polynomials -- Methods of Integration I -- Methods of Integration II -- Author's Biography -- Index.

This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.