Calculus with Analytic Geometry

Emphasizing applications, Zill introduces the difficult concepts of calculus by using intuitive and concrete examples to motivate student interest. All trigonometric functions are introduced and used in one chapter, and there is optional coverage of epsilon delta definitions to allow for flexibility in the teaching of the course. In the second edition, most of the 6500 exercise sets have been expanded, a section on vectors in two dimensions is added, cycloidal curves and a thorough discussion of motion of weight on spring is included. The text has an increased emphasis on the use of computers, added to sections on Newton's Method, Riemann Sums and approximate integration. "Remarks" sections warn students of potential pitfalls and point out milestones in the historical development of calculus. The appendices contain a thorough review of basic maths, complex numbers and determinants. Important pre-calculus topics are reviewed in the first chapter. This book should be of interest to diploma and undergraduate students of calculus.