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this book has especially been designed to cater to the needs of the students who study ‘Calculus’ in the first semester of B.Sc.( Hons), Mathematics in the University of Delhi and other Central Universities where the CBCS curriculum is being offered. The text introduces the fundamentals of Calculus to the readers in the easiest form and is supplemented with solved examples. The Content of the book is divided into Eleven Chapters. The first chapter introduces the students to the hyperbolic trigonometric functions. Becoming familiar with the circular trigonometric functions, a student will thus connect with the book through this chapter very easily. The second chapter is an introduction to higher-order derivatives followed by a chapter on applications of the derivative. The second and third chapters later connect with chapter seven on Reduction formulae, while the fourth chapter on L’Hopital rule, fifth on Parametric curves and the sixth one on Polar Coordinates may be studied independently. Chapters five and six together offer a good introduction to the methods of Tracing of curves and are further applied to the study of Conic sections in chapter nine. Chapters eight and eleven are applications of the derivative and integrals in computing Area and Volume and Modeling ballistic and Planetary motions respectively. These modeling methods would utilize almost everything the reader has studied from chapters one to nine, and hence offering a (viii) panoramic view of the concepts of calculus. The tenth chapter provides a quick introduction to the methods of calculus for Vector-Valued functions and gives a foundation for the study of multivariate calculus which they will study in the next semester.
What’s the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching—supported by Rogawski’s Calculus Second Edition—the most successful new calculus text in 25 years! Widely adopted in its first edition, Rogawski’s Calculus worked for instructors and students by balancing formal precision with a guiding conceptual focus. Rogawski engages students while reinforcing the relevance of calculus to their lives and future studies. Precise mathematics, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together to help students grasp a deeper understanding of calculus. Now Rogawski’s Calculus success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning experience.
Accompanying CD-ROM contains ... "a chapter on engineering statistics and probability / by N. Bali, M. Goyal, and C. Watkins."--CD-ROM label.
Stewart's CALCULUS: CONCEPTS AND CONTEXTS, 3rd Edition focuses on major concepts and supports them with precise definitions, patient explanations, and carefully graded problems. Margin notes clarify and expand on topics presented in the body of the text. The Tools for Enriching Calculus CD-ROM contains visualizations, interactive modules, and homework hints that enrich your learning experience. iLrn Homework helps you identify where you need additional help, and Personal Tutor with SMARTHINKING gives you live, one-on-one online help from an experienced calculus tutor. In addition, the Interactive Video Skillbuilder CD-ROM takes you step-by-step through examples from the book. The new Enhanced Review Edition includes new practice tests with solutions, to give you additional help with mastering the concepts needed to succeed in the course.
Professors using this book can teach transcendental functions (more than just trigonometric functions) early, before the definite integral.
Provides completely worked-out solutions to all odd-numbered exercises within the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
What’s the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching—supported by Rogawski’s Calculus Second Edition—the most successful new calculus text in 25 years! Widely adopted in its first edition, Rogawski’s Calculus worked for instructors and students by balancing formal precision with a guiding conceptual focus. Rogawski engages students while reinforcing the relevance of calculus to their lives and future studies. Precise mathematics, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together to help students grasp a deeper understanding of calculus. Now Rogawski’s Calculus success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning experience.
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