Includes index.

Chapter1. Real numbers, functions and graph -- Chapter2. Limits and continuity -- Chapter3. The derivative and differentiation -- Chapter4. Extreme function values, techniques of graphing and the differential -- Chapter5. The definite integral and integration -- Chapter6. Applications of the definite integral -- Chapter7. Inverse functions, logarithmic functions and exponential functions -- Chapter8. Inverse trigonometric functions and hyperbolic functions -- Chapter9. Techniques of integration -- Chapter10. The conic sections and polar coordinates -- Chapter11. Intermediate forms, improper integrals and taylor's formula -- Chapter12. Sequences and infinite series of constant terms -- Chapter13. Power series -- Chapter14. Vectors in the plane and parametric equations -- Chapter15. Vectors in three-dimensional space and solid analytic geometry -- Chapter16. Differential calculus of functions of more than one variable -- Chapter17. Directional derivatives, gradients and application of partial derivatives -- Chapter18. Multiple integration -- Chapter19. Introduction to the calculus of vectors fields .

It is designed both for prospective mathematics majors and to students whose primary interest is in engineering, the physical and social science, or nontechnical fields. Its step-by-step explanation abundant work examples and wide variety of exercises continue to be distinctive features of the text in its sixth edition .