Calculus

About this book

This textbook provides a brief review of polynomials, trigonometric, exponential, and logarithmic functions, followed by discussion of limits, derivatives, and applications of differential calculus to real-world problem areas. This volume goes on the present an overview of integration, basic techniques for integration, a variety of applications of integration, and an introduction to (systems of) differential equations. In keeping with this emphasis on conceptual understanding, each exercise set in this three semester Calculus text begins with concept questions and each end-of-chapter review section that include fill-in-the-blank questions which are useful for mastering 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.