Known for accuracy, precision, and rigor, Soo Tan now brings those same qualities to the Calculus course. With his clear, concise writing style, and use of relevant, real world examples, Tan introduces abstract mathematical concepts with his intuitive approach that captures student interest without compromising mathematical rigor. In keeping with this emphasis on conceptual understanding, each exercise set begins with concept questions and each end-of-chapter review section includes fill-in-the-blank questions which help students master the definitions and theorems in each chapter. Additionally, many questions asking for the interpretation of graphical, numerical, and algebraic results are included among both the examples and the exercise sets.
Table of Contents 0. Preliminaries 1. Limits 2. The Derivative 3. Applications of the Derivative 4. Integration 5. Applications of the Definite Integral 6. The Transcendental Functions 7. Techniques of Integration 8. Infinite Sequences and Series 9. Conic Sections, Plane Curves, and Polar Coordinates 10. The Geometry of Space and Vector-Valued Functions 11. Functions of Several Variables 12. Multiple Integrals