Calculus Functions and models

Calculus  Functions and models
Author: James Stewart
Publsiher: Unknown
Total Pages: 1170
Release: 2012
ISBN 10: 9781133272878
ISBN 13: 1133272878
Language: EN, FR, DE, ES & NL

Calculus Functions and models Book Review:

Functions Modeling Change A Preparation for Calculus 4th Edition

Functions Modeling Change  A Preparation for Calculus  4th Edition
Author: Eric Connally,Deborah Hughes-Hallett,Andrew M. Gleason
Publsiher: Wiley Global Education
Total Pages: 672
Release: 2010-11-12
ISBN 10: 1118136322
ISBN 13: 9781118136324
Language: EN, FR, DE, ES & NL

Functions Modeling Change A Preparation for Calculus 4th Edition Book Review:

The fourth edition of this market-leading text helps instructors motivate concepts, and students develop critical thinking skills. Functions Modeling Change 4th edition, is designed to accomplish the main goals of the Precalculus course: to build a solid mathematical foundation and prepare students for Calculus. The authors achieve this by focusing on a small number of key topics, thereby emphasising depth of understanding rather than breadth of coverage. Functions Modeling Change 4th edition, presents each function symbolically, numerically, graphically and verbally (the Rule of Four). Additionally, a large number of real-world applications, examples, and problems enable students to create mathematical models that relate to the world around them.

Functions Modeling Change

Functions Modeling Change
Author: Eric Connally,Deborah Hughes-Hallett,Andrew M. Gleason
Publsiher: Unknown
Total Pages: 630
Release: 2009-06-10
ISBN 10: 9780470539187
ISBN 13: 0470539186
Language: EN, FR, DE, ES & NL

Functions Modeling Change Book Review:

"This text provides a strong foundation to precalculus that focuses on a small number of key topics thereby emphasising depth of understanding rather than breath of coverage. It provides a solid way to motivate concepts and develop critical thinking skills. The new fourth edition emphasises functions as models of change. It contains superior exercises and applications that motivate the concepts students can use to fully grasp precalculus"--

Functions Modeling Change A Preparation for Calculus 5th Edition

Functions Modeling Change  A Preparation for Calculus  5th Edition
Author: Eric Connally
Publsiher: Wiley Global Education
Total Pages: 624
Release: 2014-10-13
ISBN 10: 1118942604
ISBN 13: 9781118942604
Language: EN, FR, DE, ES & NL

Functions Modeling Change A Preparation for Calculus 5th Edition Book Review:

The fifth edition of this market-leading text helps instructors motivate concepts, and students develop critical thinking skills. Functions Modeling Change, 5th edition, is designed to accomplish the main goals of the Precalculus course: to build a solid mathematical foundation and prepare students for Calculus. The authors achieve this by focusing on a small number of key topics, thereby emphasizing depth of understanding rather than breadth of coverage. Functions Modeling Change, 5th edition, presents each function symbolically, numerically, graphically and verbally (the Rule of Four). Additionally, a large number of real-world applications, examples, and problems enable students to create mathematical models that relate to the world around them.

Calculus

Calculus
Author: Gilbert Strang,Edwin "Jed" Herman
Publsiher: Unknown
Total Pages: 329
Release: 2016-03-30
ISBN 10: 9781947172814
ISBN 13: 1947172816
Language: EN, FR, DE, ES & NL

Calculus Book Review:

Fractional Calculus and Waves in Linear Viscoelasticity

Fractional Calculus and Waves in Linear Viscoelasticity
Author: Francesco Mainardi
Publsiher: World Scientific
Total Pages: 368
Release: 2010
ISBN 10: 1848163304
ISBN 13: 9781848163300
Language: EN, FR, DE, ES & NL

Fractional Calculus and Waves in Linear Viscoelasticity Book Review:

This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types. It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography. This book is likely to be of interest to applied scientists and engineers.

Functions Modeling Change Test Bank

Functions Modeling Change  Test Bank
Author: Eric Connally,Deborah Hughes-Hallett
Publsiher: Wiley
Total Pages: 206
Release: 2003-07-01
ISBN 10: 9780471468271
ISBN 13: 0471468274
Language: EN, FR, DE, ES & NL

Functions Modeling Change Test Bank Book Review:

Textbook: From the Calculus Consortium based at Harvard University, this comprehensible book prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas. The focus throughout is on those topics that are essential to the study of calculus and these topics are treated in depth. (Textbook ISBN: 0471456535) Student Solutions Manual: Provides complete solutions to selected problems in the text. These solutions will help you develop strong problem-solving skills. (0471333824

Functions Data and Models

Functions  Data and Models
Author: Sheldon P. Gordon,Florence S. Gordon
Publsiher: MAA
Total Pages: 492
Release: 2010
ISBN 10: 0883857677
ISBN 13: 9780883857670
Language: EN, FR, DE, ES & NL

Functions Data and Models Book Review:

This is a college algebra-level textbook written to provide the kind of mathematical knowledge and experiences that students will need for courses in other fields, such as biology, chemistry, business, finance, economics, and other areas that are heavily dependent on data either from laboratory experiments or from other studies. The focus is on the fundamental mathematical concepts and the realistic problem-solving via mathematical modeling rather than the development of algebraic skills that might be needed in calculus.Functions, Data, and Models presents college algebra in a way that differs from almost all college algebra books available today. Rather than going over material covered in high school courses the Gordons teach something new. Students are given an introduction to data analysis and mathematical modeling presented at a level that students with limited algebraic skills can understand. The book contains a rich set of exercises, many of which use real data. Also included are thought experiments or what if questions that are meant to stretch the student's mathematical thinking.

Student Solutions Manual to accompany Functions Modeling Change 2nd Edition

Student Solutions Manual to accompany Functions Modeling Change  2nd Edition
Author: Eric Connally,Deborah Hughes-Hallett
Publsiher: Wiley
Total Pages: 192
Release: 2003-05-07
ISBN 10: 9780471333821
ISBN 13: 0471333824
Language: EN, FR, DE, ES & NL

Student Solutions Manual to accompany Functions Modeling Change 2nd Edition Book Review:

Work more effectively and check solutions as you go along with the text! This Student Solutions Manual provides complete solutions to selected problems from Connally's Functions Modeling Change, 2nd Edition. These solutions will help you develop strong problem solving skills. From the Calculus Consortium based at Harvard University, Functions Modeling Change, 2nd Edition prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas. The focus throughout is on those topics that are essential to the study of calculus and these topics are treated in depth.

Functions Modeling Change Student Solutions Manual

Functions Modeling Change  Student Solutions Manual
Author: Eric Connally,Andrew M. Gleason,Philip Cheifetz,Brigitte Lahme,Carl Swenson,Deborah Hughes-Hallett,Frank Avenoso,Selin Kalayc?o?lu,Pat Shure,Katherine Yoshiwara,Ann Davidian
Publsiher: Wiley
Total Pages: 176
Release: 1999-11-25
ISBN 10: 9780471293965
ISBN 13: 0471293962
Language: EN, FR, DE, ES & NL

Functions Modeling Change Student Solutions Manual Book Review:

From the Calculus Consortium based at Harvard University, this comprehensible book prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas.

Elementary Mathematical Models An Accessible Development without Calculus Second Edition

Elementary Mathematical Models  An Accessible Development without Calculus  Second Edition
Author: Dan Kalman,Sacha Forgoston,Albert Goetz
Publsiher: American Mathematical Soc.
Total Pages: 509
Release: 2019-08-02
ISBN 10: 1470450011
ISBN 13: 9781470450014
Language: EN, FR, DE, ES & NL

Elementary Mathematical Models An Accessible Development without Calculus Second Edition Book Review:

Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.

Advanced Calculus

Advanced Calculus
Author: Lynn Harold Loomis,Shlomo Sternberg
Publsiher: World Scientific Publishing Company
Total Pages: 596
Release: 2014-02-26
ISBN 10: 9814583952
ISBN 13: 9789814583954
Language: EN, FR, DE, ES & NL

Advanced Calculus Book Review:

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.

Calculus for the Life Sciences A Modeling Approach

Calculus for the Life Sciences  A Modeling Approach
Author: James L. Cornette,Ralph A. Ackerman
Publsiher: American Mathematical Soc.
Total Pages: 713
Release: 2019-05-25
ISBN 10: 1470451425
ISBN 13: 9781470451424
Language: EN, FR, DE, ES & NL

Calculus for the Life Sciences A Modeling Approach Book Review:

Calculus for the Life Sciences is an entire reimagining of the standard calculus sequence with the needs of life science students as the fundamental organizing principle. Those needs, according to the National Academy of Science, include: the mathematical concepts of change, modeling, equilibria and stability, structure of a system, interactions among components, data and measurement, visualization, and algorithms. This book addresses, in a deep and significant way, every concept on that list. The book begins with a primer on modeling in the biological realm and biological modeling is the theme and frame for the entire book. The authors build models of bacterial growth, light penetration through a column of water, and dynamics of a colony of mold in the first few pages. In each case there is actual data that needs fitting. In the case of the mold colony that data is a set of photographs of the colony growing on a ruled sheet of graph paper and the students need to make their own approximations. Fundamental questions about the nature of mathematical modeling—trying to approximate a real-world phenomenon with an equation—are all laid out for the students to wrestle with. The authors have produced a beautifully written introduction to the uses of mathematics in the life sciences. The exposition is crystalline, the problems are overwhelmingly from biology and interesting and rich, and the emphasis on modeling is pervasive. An instructor's manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to [email protected] for more information. Online question content and interactive step-by-step tutorials are available for this title in WebAssign. WebAssign is a leading provider of online instructional tools for both faculty and students.

Functions Modeling Change Student Study Guide

Functions Modeling Change  Student Study Guide
Author: Eric Connally,Andrew M. Gleason,Philip Cheifetz,Brigitte Lahme,Carl Swenson,Deborah Hughes-Hallett,Frank Avenoso,Selin Kalayc?o?lu,Pat Shure,Katherine Yoshiwara,Ann Davidian
Publsiher: Wiley
Total Pages: 172
Release: 2000-05-02
ISBN 10: 9780471380979
ISBN 13: 0471380970
Language: EN, FR, DE, ES & NL

Functions Modeling Change Student Study Guide Book Review:

From the Calculus Consortium based at Harvard University, this comprehensible book prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas.

Modeling Functions and Graphs

Modeling Functions and Graphs
Author: Droyan Yoshiwara,Katherine Yoshiwara,Bruce Yoshiwara
Publsiher: Unknown
Total Pages: 329
Release: 2001-05
ISBN 10: 9780534373214
ISBN 13: 0534373216
Language: EN, FR, DE, ES & NL

Modeling Functions and Graphs Book Review:

The Student Solutions Manual provides worked solutions to the odd-numbered problems.

Mathematical Modeling and Applied Calculus

Mathematical Modeling and Applied Calculus
Author: Joel Kilty,Alex McAllister
Publsiher: Oxford University Press
Total Pages: 816
Release: 2018-09-13
ISBN 10: 0192558137
ISBN 13: 9780192558138
Language: EN, FR, DE, ES & NL

Mathematical Modeling and Applied Calculus Book Review:

This textbook is rich with real-life data sets, uses RStudio to streamline computations, builds "big picture" conceptual understandings, and applies them in diverse settings. Mathematical Modeling and Applied Calculus will develop the insights and skills needed to describe and model many different aspects of our world. This textbook provides an excellent introduction to the process of mathematical modeling, the method of least squares, and both differential and integral calculus, perfectly meeting the needs of today's students. Mathematical Modeling and Applied Calculus provides a modern outline of the ideas of Calculus and is aimed at those who do not intend to enter the traditional calculus sequence. Topics that are not traditionally taught in a one-semester Calculus course, such as dimensional analysis and the method of least squares, are woven together with the ideas of mathematical modeling and the ideas of calculus to provide a rich experience and a large toolbox of mathematical techniques for future studies. Additionally, multivariable functions are interspersed throughout the text, presented alongside their single-variable counterparts. This text provides a fresh take on these ideas that is ideal for the modern student.

Fractional Calculus

Fractional Calculus
Author: Dumitru Baleanu
Publsiher: World Scientific
Total Pages: 400
Release: 2012
ISBN 10: 9814355216
ISBN 13: 9789814355216
Language: EN, FR, DE, ES & NL

Fractional Calculus Book Review:

The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and they can be applied to write complicated functions in terms of fractional integrals or derivatives of elementary functions, and so on. This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models. All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book was written with a trade-off in mind between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice. Numerical code is also provided.

Special Functions Fractional Calculus and the Pathway for Entropy

Special Functions  Fractional Calculus and the Pathway for Entropy
Author: Hans J. Haubold
Publsiher: MDPI
Total Pages: 304
Release: 2018-03-23
ISBN 10: 3038426652
ISBN 13: 9783038426653
Language: EN, FR, DE, ES & NL

Special Functions Fractional Calculus and the Pathway for Entropy Book Review:

This book is a printed edition of the Special Issue "Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday" that was published in Axioms

Intl Student Version Applied Calculus

Intl Student Version Applied Calculus
Author: Stefan Waner,Steven R. Costenoble
Publsiher: Thomson
Total Pages: 704
Release: 2007-02-01
ISBN 10: 9780495019497
ISBN 13: 0495019496
Language: EN, FR, DE, ES & NL

Intl Student Version Applied Calculus Book Review:

1. LINEAR FUNCTIONS AND MODELS. Functions from the Numerical and Algebraic Viewpoints. Functions from the Graphical Viewpoint. Linear Functions. Linear Models. Linear Regression. Chapter Project: Modeling Spending on Internet Advertising. Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions. 2. NONLINEAR MODELS. Quadratic Functions and Models. Exponential Functions and Models. Logarithmic Functions and Models. Logistic Functions and Models. Chapter Project: Checking up on Malthus. Optional Internet Topics: Inverse Functions. Linear and Exponential Regression. Using and Deriving Algebraic Properties of Logarithms. 3. INTRODUCTION TO THE DERIVATIVE. Average Rate of Change. The Derivative: Numerical and Graphical Viewpoints. The Derivative : Algebraic Viewpoint. Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginal Analysis. Limits: Numerical and Graphical Approaches. Limits and Continuity. Limits and Continuity: Algebraic Approach. Chapter Project: Reducing Sulfur Emissions. Optional Internet Topics: Sketching the Graph of the Derivative. Proof of the Power Rule. Continuity and Differentiability. 4. TECHNIQUES OF DIFFERENTIATION. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation. Chapter Project: Projecting Market Growth. Optional Internet Topic: Linear Approximation and Error Estimation. 5. APPLICATIONS OF THE DERIVATIVE. Maxima and Minima. Applications of Maxima and Minima. The Second Derivative and Analyzing Graphs. Related Rates. Elasticity. Chapter Project: Production Lot Size Management. 6. THE INTEGRAL. The Indefinite Integral. Substitution. The Definite Integral as a Sum: A Numerical Approach. The Definite Integral as Area: A Geometric Approach. The Definite Integral: An Algebraic Approach and the Fundamental Theorem of Calculus. Chapter Project: Wage Inflation. Optional Internet Topic: Numerical Integration. 7. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL. Integration by Parts. Area Between Two Curves and Applications. Averages and Moving Averages. Continuous Income Streams. Improper Integrals and Applications. Differential Equations and Applications. Chapter Project: Estimating Tax Revenues. 8. FUNCTIONS OF SEVERAL VARIABLES. Functions of Several Variables from the Numerical and Algebraic Viewpoints. Three Dimensional Space and the Graph of a Function of Two Variables. Partial Derivatives. Maxima and Minima. Constrained Maxima and Minima and Applications. Double Integrals. Chapter Project: Modeling Household Income. 9. TRIGONOMETRIC MODELS. Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications. Chapter Project: Predicting Cocoa Inventories. Appendix A: Algebra Review. OPTIONAL INTERNET CHAPTERS. S. CALCULUS APPLIED TO PROBABILITY AND STATISTICS. Continuous Random Variables and Histograms. Probability Density Functions: Uniform, Exponential, Normal, and Beta. Mean, Median, Variance and Standard Deviation. Chapter Project: Creating a Family Trust.

Elementary Mathematical Models An Accessible Development without Calculus Second Edition

Elementary Mathematical Models  An Accessible Development without Calculus  Second Edition
Author: Dan Kalman,Sacha Forgoston,Albert Goetz
Publsiher: American Mathematical Soc.
Total Pages: 509
Release: 2019-08-02
ISBN 10: 1470450011
ISBN 13: 9781470450014
Language: EN, FR, DE, ES & NL

Elementary Mathematical Models An Accessible Development without Calculus Second Edition Book Review:

Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.