Elementary Calculus

• 1 The Derivative
• 2 Derivatives of Common Functions
• 3 Topics in Differential Calculus
• 4 Applications of Derivatives
• 5 The Integral
• 6 Methods of Integration
• 7 Analytic Geometry and Plane Curves
• 8 Applications of Integrals
• 9 Infinite Sequences and Series

This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

There are 943 exercises in the book, with answers and hints to selected exercises.