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Written by acclaimed author and mathematician George Simmons, this revision is designed for the calculus course offered in two and four year colleges and universities. It takes an intuitive approach to calculus and focuses on the application of methods to real-world problems. Throughout the text, calculus is treated as a problem solving science of immense capability.
Designed for prospective mathematics majors and students interested in engineering, computer science, physics, business or the life sciences. The program covers all topics in the Advanced Placement Calculus AB and Calculus BC syllabi. Instruction takes full advantage of graphing calculators, using them for visual demonstrations of concepts and confirming calculations.
Instructor's Manual to Accompany Calculus with Analytic Geometry is an instructor's manual on calculus with analytic geometry. It contains answers to even-numbered exercises and solutions of selected even- and odd-numbered exercises. Comments on selected exercises are included. Comprised of 18 chapters, this book first presents answers and solutions to exercises relating to functions and graphs. The next chapter is about derivatives and covers topics ranging from the slope problem to limits, sums and products, and quotients and square roots, along with limits and continuity. Subsequent chapters deal with applications of differentiation; exponential and trigonometric functions; techniques and applications of integration; inverse functions; and plane analytic geometry. The rest of the book focuses on approximation and convergence; power series; space geometry and vectors; vector functions and curves; higher partials and their applications; and double and multiple integrals. This monograph will be a useful resource for undergraduate students of mathematics and algebra.
Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.
A revision of McGraw-Hill's leading calculus text for the 3-semester sequence taken primarily by math, engineering, and science majors. The revision is substantial and has been influenced by students, instructors in physics, engineering, and mathematics, and participants in the national debate on the future of calculus. Revision focused on these key areas: Upgrading graphics and design, expanding range of problem sets, increasing motivation, strengthening multi-variable chapters, and building a stronger support package.
Appropriate for standard undergraduate Calculus courses. The mainstream calculus text with the most flexible approach to new ideas and calculator/computer technology.