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Full Description
Michael Sullivan and Kathleen Miranda have written a contemporary calculus textbook that students can use easily. Consistent in its use of language and notation, Calculus offers clear and precise mathematics at an appropriate level of rigor. The book helps students learn calculus conceptually, while also emphasizing computational and problem-solving skills. The textbook contains a wide array of problems including engaging challenge problems and applied exercises that model the physical sciences, life sciences, economics, and other disciplines. Algebra-weak students will benefit from marginal annotations that help strengthen algebraic understanding, the many references to review material, and extensive practice exercises. Sullivan/Miranda's Calculus has been written with today's instructors and students in mind.This textbook is also available on LaunchPad, seamlessly integrating print and online resources, putting powerful statistical tools and interactive learning features in the hands of both students and teachers alike.
Contents
1. Precalculus Review.- 2. Limits.- 3. Differentiation.- 4. Applications of the Derivative.- 5. The Integral.- 6. Applications of the Integral.- 7. Techniques of Integration.- 8. Further Applications of the Integral and Taylor Polynomials.- 9. Introduction to Differential Equations.- 10. Infinite Series.- 11. Parametric Equations, Polar Coordinates, and Conic Sections.- 12. Vector Geometry.- 13. Calculus of Vector-Valued Functions.- 14. Differentiation in Several Variables.- 15. Multiple Integration.- 16. Line and Surface Integrals.- 17. Fundamental Theorems of Vector Analysis