Insight Into Calculus

Insight Into Calculus PDF Author: Frank Ward
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 308

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Book Description
For calculus courses requiring the use of graphing calculators. The main purpose of the projects in this book is to help students gain a better understanding of calculus through a guided discovery approach. The book is designed to help students develop the skills of thinking analytically, recognizing patterns, forming conclusions, and organizing results in a clear manner.

Insight Into Calculus

Insight Into Calculus PDF Author: Frank Ward
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 308

Get Book Here

Book Description
For calculus courses requiring the use of graphing calculators. The main purpose of the projects in this book is to help students gain a better understanding of calculus through a guided discovery approach. The book is designed to help students develop the skills of thinking analytically, recognizing patterns, forming conclusions, and organizing results in a clear manner.

Basic Insights In Vector Calculus: With A Supplement On Mathematical Understanding

Basic Insights In Vector Calculus: With A Supplement On Mathematical Understanding PDF Author: Terrance J Quinn
Publisher: World Scientific
ISBN: 9811222584
Category : Mathematics
Languages : en
Pages : 250

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Book Description
Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided.

Calculus

Calculus PDF Author: Howard Anton
Publisher: Wiley Global Education
ISBN: 1119828708
Category : Mathematics
Languages : en
Pages : 448

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Book Description
In Calculus: Multivariable, 12th Edition, an expert team of mathematicians delivers a rigorous and intuitive exploration of calculus, introducing concepts like derivatives and integrals of multivariable functions. Using the Rule of Four, the authors present mathematical concepts from verbal, algebraic, visual, and numerical points of view. The book includes numerous exercises, applications, and examples that help readers learn and retain the concepts discussed within.

Insights Into Calculus with the Graphics Calculator

Insights Into Calculus with the Graphics Calculator PDF Author: Roland E. Larson
Publisher: Cengage Learning
ISBN: 9780669289053
Category : Mathematics
Languages : en
Pages : 278

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Book Description
This useful laboratory manual facilitates the use of graphics calculators to expand students' conceptual understanding of calculus. Designed to enhance any calculus text, the manual's 360 exercises provide discussions of key topics, over 110 examples, and more than 300 figures taken directly from graphics calculator displays. The first exercise introduces students to the use of graphics calculators using TI-81 notation, but nearly all the techniques can easily be used with any graphics calculator. All exercise sets are calculator-independent. Programs for eight specific types of calculations, from approximating zeros to finding the sum of a series, are incorporated throughout the text. The programs are also listed, in TI-81, TI-85, and Sharp 9200-9300 formats, in an appendix.

Teaching and Learning of Calculus

Teaching and Learning of Calculus PDF Author: David Bressoud
Publisher: Springer
ISBN: 3319329758
Category : Education
Languages : en
Pages : 44

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Book Description
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

Elementary Calculus

Elementary Calculus PDF Author: H. Jerome Keisler
Publisher: Orange Groove Books
ISBN: 9781616100315
Category : Mathematics
Languages : en
Pages : 992

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Book Description


Infinite Powers

Infinite Powers PDF Author: Steven Strogatz
Publisher: Mariner Books
ISBN: 1328879984
Category : Biography & Autobiography
Languages : en
Pages : 389

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Book Description
This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.

Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning

Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning PDF Author: Wendy M. Smith
Publisher: American Mathematical Soc.
ISBN: 1470463776
Category : Education
Languages : en
Pages : 348

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Book Description
The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?

Insight Through Computing

Insight Through Computing PDF Author: Charles F. Van Loan
Publisher: SIAM
ISBN: 0898716918
Category : Mathematics
Languages : en
Pages : 437

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Book Description
An introduction to computer-based problem-solving using the MATLAB® environment for undergraduates.

Elementary Analysis

Elementary Analysis PDF Author: Kenneth A. Ross
Publisher: CUP Archive
ISBN:
Category : Mathematics
Languages : en
Pages : 192

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Book Description