Calculus in Context

Topics covered in the book include: • the basics of geometry, trigonometry, algebra, and coordinate geometry and the historical, scientific agenda that drove their development • a brief, introductory calculus from the works of Newton ...

Calculus in Context

Author: Alexander J. Hahn

Publisher: JHU Press

ISBN: 1421422301

Page: 712

View: 305

Breaking the mold of existing calculus textbooks, Calculus in Context draws students into the subject in two new ways. Part I develops the mathematical preliminaries (including geometry, trigonometry, algebra, and coordinate geometry) within the historical frame of the ancient Greeks and the heliocentric revolution in astronomy. Part II starts with comprehensive and modern treatments of the fundamentals of both differential and integral calculus, then turns to a wide-ranging discussion of applications. Students will learn that core ideas of calculus are central to concepts such as acceleration, force, momentum, torque, inertia, and the properties of lenses. Classroom-tested at Notre Dame University, this textbook is suitable for students of wide-ranging backgrounds because it engages its subject at several levels and offers ample and flexible problem set options for instructors. Parts I and II are both supplemented by expansive Problems and Projects segments. Topics covered in the book include: • the basics of geometry, trigonometry, algebra, and coordinate geometry and the historical, scientific agenda that drove their development • a brief, introductory calculus from the works of Newton and Leibniz • a modern development of the essentials of differential and integral calculus • the analysis of specific, relatable applications, such as the arc of the George Washington Bridge; the dome of the Pantheon; the optics of a telescope; the dynamics of a bullet; the geometry of the pseudosphere; the motion of a planet in orbit; and the momentum of an object in free fall. Calculus in Context is a compelling exploration—for students and instructors alike—of a discipline that is both rich in conceptual beauty and broad in its applied relevance.

Calculus in Context

Callahan fully embraces the calculus reform movement in technology and pedagogy, while taking it a step further with a unique organization and applications to real-world problems.

Calculus in Context

Author: James Callahan

Publisher: W H Freeman & Company

ISBN: 9780716726302

Page: 818

View: 784

For courses currently engaged, or leaning toward calculus reform. Callahan fully embraces the calculus reform movement in technology and pedagogy, while taking it a step further with a unique organization and applications to real-world problems.

Calculus Concepts and Contexts

CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion.

Calculus  Concepts and Contexts

Author: James Stewart

Publisher: Cengage Learning

ISBN: 0495557420

Page: 1152

View: 649

Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Single Variable Calculus Concepts and Contexts

CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion.

Single Variable Calculus  Concepts and Contexts

Author: James Stewart

Publisher: Cengage Learning

ISBN: 0495559725

Page: 784

View: 785

Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Multivariable Calculus Concepts and Contexts

CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion.

Multivariable Calculus  Concepts and Contexts

Author: James Stewart

Publisher: Cengage Learning

ISBN: 0495560545

Page: 512

View: 855

Stewart's Multivariable CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. The Multivariable Calculus edition contains chapters 11-18 of the full text, and is intended to serve as a single-semester text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Advanced Calculus

The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps.

Advanced Calculus

Author: James J. Callahan

Publisher: Springer Science & Business Media

ISBN: 9781441973320

Page: 526

View: 819

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

Proceedings of the Fifth Annual International Conference on Technology in Collegiate Mathematics

Major technology - based calculus initiatives ( Calculus in Context , The Harvard
Project , Project Calc , The Purdue Project ) either have been completed or will
be shortly . As these technology - based calculus curriculums become more ...

Proceedings of the Fifth Annual International Conference on Technology in Collegiate Mathematics

Author: Lewis Lum

Publisher: Addison Wesley Publishing Company

ISBN:

Page: 907

View: 265

Over 1500 mathematicians from around the world attended The Fifth Annual International Confererence on Technology in Collegiate Mathematics. The conference theme was Exploring the Mathematics Learning Environment of Tomorrow. Among the many conference highlights were lectures on: applying systems engineering to education; how contents of courses have changed in this computer era; and real mathematics, rational computers, and complex people.

Modeling and Using Context

We develop a Hilbert style calculus for modal propositional logic which allows for
the deduction theorem . Labels are used to keep track of both modalities that
have been entered and assumptions that have been made . The main technical ...

Modeling and Using Context

Author:

Publisher:

ISBN:

Page:

View: 473

UME Trends

( University of Illinois ) Project CALC , by David Smith Of all the new calculus
courses , C & M • allows students to learn mathematics in Project CALC :
Calculus As a Laboratory leans on technology the most . This award- the context
of ...

UME Trends

Author:

Publisher:

ISBN:

Page:

View: 752

Student Solutions Manual for Stewart s Multivariable Calculus Concepts and Contexts Second Edition

... Multivariable Calculus : Concepts and Contexts , Second Edition ( Chapters 8–
13 of Calculus : Concepts and Contexts , Second Edition ) by James Stewart . ...
Each solution is presented in the context of the corresponding section of the text .

Student Solutions Manual for Stewart s Multivariable Calculus  Concepts and Contexts  Second Edition

Author: Dan Clegg

Publisher:

ISBN:

Page: 249

View: 707

This Student Solutions Manual, written by Dan Clegg, contains detailed solutions to the odd-numbered exercises in each chapter section, review section, True-False Quiz, and Focus on Problem Solving section. Also included are solutions to all Concept Check questions.

Journal for Research in Mathematics Education

They use the term "abstract" to refer to the degree to which a relationship is freed
from specific contexts. Because ... APPLICATIONS, MODELING, AND
VARIABLES In calculus, the context of an application problem may be a realistic
or artificial ...

Journal for Research in Mathematics Education

Author:

Publisher:

ISBN:

Page:

View: 574

Calculus

By context , we mean that the same symbols can carry different meanings and
interpretations , depending on when and where ... The symbol dy / dx has a very
important meaning in calculus that is quite different from another interpretation as
a ...

Calculus

Author: Thomas P. Dick

Publisher: Brooks/Cole

ISBN:

Page: 1200

View: 124

This text is the product of one of several NSF-funded calculus curriculum projects, known also as the Oregon State Calculus Connections program. Calculus of a Single Variable, published in 1994, represented the first two semesters' work in calculus from this same program. These materials were also used by thousands of high school and college students in a preliminary edition. Like other reform calculus texts, this book assumes that the student has access to graphing calculators or computers, but it is not tied to any particular technology. The text also employs the rule of three (a watchword among reform-minded calculus instructors): functions are represented (1) algebraically (or symbolically; e.g., as an equation, like x = y + 2 ); (2) numerically (e.g. as tables of values); 2nd (3) graphically (e.g., as graph lines or figures plotted on axes).

MAA Notes

... and its prerequisite is volve mathematical and statistical methods and all of
which calculus I of some kind ( including the year - long course have a
nonmathematical context . Students attend one lec - that combines pre - calculus
and calculus ) ...

MAA Notes

Author:

Publisher:

ISBN:

Page:

View: 661

Calculus Connections

Calculus Connections

Author: Asma Harcharras

Publisher: Prentice Hall

ISBN:

Page: 473

View: 686

With challenging new standards-based middle school mathematics curricula now in place, future teachers need college-level mathematics instruction that better prepares them for their professional careers. Addresses the importance of learning calculus in preparation for the teaching of middle school mathematics, focusing on concepts and applications to illuminate the connections that exist between college-level calculus and the mathematics taught in today's middle schools. Examines the unique needs of future teachers in comparison to general calculus books. Initiates new topics with engaging discussion rather than the standard formula-proof-example approach. Stresses the interplay between geometry and calculus, and demonstrates the essential power of calculus for computing areas, lengths, surface areas, and volumes. For current or future mathematics teachers, or anyone interested in learning more about calculus.