Author : COMAP
Publisher : Macmillan
Page : 706 pages
File Size : 16,26 MB
Release : 2001-07-15
Category : Mathematics
ISBN : 9780716743590
COMAP's new text for the precalculus course focuses on modeling and contemporary applications.
Author : Nancy Baxter-Hastings
Publisher : Springer Science & Business Media
Page : 550 pages
File Size : 39,11 MB
Release : 2002-02-22
Category : Mathematics
ISBN : 9781930190115
The Workshop Precalculus text is part of the successful Workshop Mathematics Project, based at Dickinson College, Pennsylvania. It combines interactive teaching and collaborative learning such that students become active participants in the learning process. In this new text, this proven pedagogy is used to cover topics in precalculus: linear and quadratic functions, and trig functions, for example.
Author : Robin Joan Gottlieb
Publisher : Addison Wesley Publishing Company
Page : 0 pages
File Size : 42,71 MB
Release : 2002
Category : Calculus
ISBN : 9780201709292
A major complaint of lecturers teaching calculus is that students don't have the appropriate background to work through the calculus course successfully. This text is targeted directly at this underprepared audience. This is a single-variable (2 term) calculus text that incorporates a conceptual re-introduction to key precalculus ideas throughout the exposition as appropriate. This is the ideal resource for those schools dealing with poorly prepared students or for schools introducing a slower paced, integrated precalculus/calculus course. * A careful, intuitive presentation of key calculus and precalculus ideas, stressing the connections between precalculus and calculus, and tying these ideas into real-world situations. * Accessible and interesting to anxious, underprepared calculus students. * Unique, innovative approach that targets a key problem in calculus. * Penetrating, well-constructed examples that get to the heart of the discussion. * Creative exercises and problems. * Use of technology is assumed, but no specific technology is required. * Topics presented analytically and graphically, numerically and verbally (Rule of Four). * Full coverage of single variable calculus (2
Author : Jay P. Abramson
Publisher :
Page : 2000 pages
File Size : 20,36 MB
Release : 2014-10-23
Category : Algebra
ISBN : 9781938168345
"Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.
Author : Jay Abramson
Publisher :
Page : 1152 pages
File Size : 50,18 MB
Release : 2018-01-07
Category : Mathematics
ISBN : 9789888407446
Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way. Coverage and Scope Precalculus contains twelve chapters, roughly divided into three groups. Chapters 1-4 discuss various types of functions, providing a foundation for the remainder of the course. Chapter 1: Functions Chapter 2: Linear Functions Chapter 3: Polynomial and Rational Functions Chapter 4: Exponential and Logarithmic Functions Chapters 5-8 focus on Trigonometry. In Precalculus, we approach trigonometry by first introducing angles and the unit circle, as opposed to the right triangle approach more commonly used in College Algebra and Trigonometry courses. Chapter 5: Trigonometric Functions Chapter 6: Periodic Functions Chapter 7: Trigonometric Identities and Equations Chapter 8: Further Applications of Trigonometry Chapters 9-12 present some advanced Precalculus topics that build on topics introduced in chapters 1-8. Most Precalculus syllabi include some of the topics in these chapters, but few include all. Instructors can select material as needed from this group of chapters, since they are not cumulative. Chapter 9: Systems of Equations and Inequalities Chapter 10: Analytic Geometry Chapter 11: Sequences, Probability and Counting Theory Chapter 12: Introduction to Calculus
Author : Silvanus P. Thompson
Publisher : St. Martin's Press
Page : 348 pages
File Size : 45,64 MB
Release : 2014-03-18
Category : Study Aids
ISBN : 1466866357
Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
Page : 595 pages
File Size : 31,87 MB
Release : 2014-02-26
Category : Mathematics
ISBN : 9814583952
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : David Dwyer
Publisher : Wiley Global Education
Page : 1038 pages
File Size : 24,95 MB
Release : 2017-12-27
Category : Mathematics
ISBN : 1118886720
Dwyer and Gruenwald’s Calculus Resequenced for Students in STEM, Preliminary Edition highlights a new approach to calculus and is devoted to improving the calculus sequence for students in STEM majors. The text introduces a new standard for order and choice of topics for the 3-semester sequence. Resequencing topics in the calculus sequence allows for front-loading material for upper-level STEM majors into the first two semesters, ensuring Calculus 2 is an attractive jumping-off point for students in biology and chemistry. The topical ordering was developed in consultation with advisory boards consisting of educators in mathematics, biology, chemistry, physics, engineering and economics at diverse institutions.
Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
Page : 811 pages
File Size : 24,49 MB
Release : 1994-02-28
Category : Computers
ISBN : 0134389980
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 741 pages
File Size : 38,41 MB
Release : 2012-09-17
Category : Mathematics
ISBN : 1441985328
This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.
