Calculus

This new text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts into clear terms. It contains features such as graphical insights that enhance the student's visual understanding, section summaries to summarize key points, and section exercise sets which are closely coordinated with the text. Calculus has been designed to be rigorous without being inaccessible and clear without being too informal, therefore the perfect balance for instructors and their students.

PreCalculus Review. Limits. Differentiation. Applications of the Derivative. The Integral. Applications of the Integral. Exponential Functions. Techniques of Integration. Further Applications of the Integral Taylor Polynominals. Introduction to Differential Equations. Infinite Series. Parametric Equations, Polar Coordinates and Conic Sections. Vector Geometry. Calculus of Vector-Valued Functions. Differentiation in Several Variables. Multiple Integration. Line and Surface Integrals. Fundamental Theorems of Vector Analysis. Appendices. Answers to Odd-Numbered Exercises. Hints to Selected Even-Numbered Exercises .