Active Calculus 2018

Active Calculus 2018
Author: Matthew Boelkins
Publisher: Createspace Independent Publishing Platform
Total Pages: 560
Release: 2018-08-13
Genre:
ISBN: 9781724458322

Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.

Active Calculus Multivariable 2018

Active Calculus Multivariable 2018
Author: Steven Schlicker
Publisher:
Total Pages: 308
Release: 2018-07-30
Genre:
ISBN: 9781724366856

Active Calculus Multivariable is different from most existing texts in at least the following ways: The style of the text requires students to be active learners; there are very few worked examples in the text, with there instead being 3 or 4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus ideas. Each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class. There are several WeBWorK exercises in each section along with additional challenging exercises. The book is open source and can be used as a primary or supplemental text.

Active Prelude to Calculus

Active Prelude to Calculus
Author: Matthew Boelkins
Publisher:
Total Pages: 326
Release: 2019-07-28
Genre:
ISBN: 9781085940856

Active Prelude to Calculus is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus. This text is written in the spirit of Active Calculus and is especially ideal for students who will eventually study calculus from that text. The reader will find that the text requires them to engage actively with the material, to view topics from multiple perspectives, and to develop deep conceptual understanding of ideas.Many courses at the high school and college level with titles such as "college algebra", "precalculus", and "trigonometry" serve other disciplines and courses other than calculus. As such, these prerequisite classes frequently contain wide-ranging material that, while mathematically interesting and important, isn't necessary for calculus. Perhaps because of these additional topics, certain ideas that are essential in calculus are under-emphasized or ignored. In Active Prelude to Calculus, one of our top goals is to keep the focus narrow on the following most important ideas. Those most important ideas include: functions as processes; average rate of change; a library of basic functions; families of functions that model important phenomena; the sine and cosine are circular functions; inverses of functions; exact values versus approximate ones; and long-term trends, unbounded behavior, and limits of functions. See more in the preface of the text at https: //activecalculus.org/prelude/preface-our-goals.html.The text is available in three different formats: HTML, PDF, and print, each of which is available via links on the landing page at https: //activecalculus.org/. The first two formats are free.

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
Author: Wendy M. Smith
Publisher: American Mathematical Soc.
Total Pages: 348
Release: 2021-05-05
Genre: Education
ISBN: 1470463776

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?

Calculus

Calculus
Author: Steve Hilbert
Publisher: Wiley
Total Pages: 284
Release: 1994-02-21
Genre: Mathematics
ISBN: 9780471003168

A student projects book to be used as a complement to any calculus text. Contains activities that can be done in class or as homework and large projects for the students to work on (usually in groups) outside the classroom. Materials are excellent for cooperative learning. Most activities and projects require no technology and the few that do are not technology specific. Students actively participate in their learning. Emphasizes the role of calculus as a tool for understanding the world with modeling as a central theme.

Advanced Calculus (Revised Edition)

Advanced Calculus (Revised Edition)
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
Total Pages: 595
Release: 2014-02-26
Genre: 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.

Calculus on Manifolds

Calculus on Manifolds
Author: Michael Spivak
Publisher: Westview Press
Total Pages: 164
Release: 1965
Genre: Science
ISBN: 9780805390216

This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

Zombies and Calculus

Zombies and Calculus
Author: Colin Adams
Publisher: Princeton University Press
Total Pages: 236
Release: 2016-10-04
Genre: Fiction
ISBN: 0691173206

A novel that uses calculus to help you survive a zombie apocalypse How can calculus help you survive the zombie apocalypse? Colin Adams, humor columnist for the Mathematical Intelligencer and one of today's most outlandish and entertaining popular math writers, demonstrates how in this zombie adventure novel. Zombies and Calculus is the account of Craig Williams, a math professor at a small liberal arts college in New England, who, in the middle of a calculus class, finds himself suddenly confronted by a late-arriving student whose hunger is not for knowledge. As the zombie virus spreads and civilization crumbles, Williams uses calculus to help his small band of survivors defeat the hordes of the undead. Along the way, readers learn how to avoid being eaten by taking advantage of the fact that zombies always point their tangent vector toward their target, and how to use exponential growth to determine the rate at which the virus is spreading. Williams also covers topics such as logistic growth, gravitational acceleration, predator-prey models, pursuit problems, the physics of combat, and more. With the aid of his story, you too can survive the zombie onslaught. Featuring easy-to-use appendixes that explain the book's mathematics in greater detail, Zombies and Calculus is suitable both for those who have only recently gotten the calculus bug, as well as for those whose disease has advanced to the multivariable stage.

Two-Dimensional Calculus

Two-Dimensional Calculus
Author: Robert Osserman
Publisher: Courier Corporation
Total Pages: 484
Release: 2014-01-05
Genre: Mathematics
ISBN: 0486321002

Two-dimensional calculus is vital to the mastery of the broader field, and this text presents an extensive treatment. Advantages include the thorough integration of linear algebra and development of geometric intuition. 1986 edition.

APEX Calculus

APEX Calculus
Author: Gregory Hartman
Publisher:
Total Pages: 0
Release: 2015
Genre: Calculus
ISBN: 9781514225158

APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).