Active Calculus 2018
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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.
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.
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.
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?
Author | : David Nualart |
Publisher | : Cambridge University Press |
Total Pages | : 249 |
Release | : 2018-09-27 |
Genre | : Business & Economics |
ISBN | : 1107039126 |
A compact introduction to this active and powerful area of research, combining basic theory, core techniques, and recent applications.
Author | : John Petrovic |
Publisher | : CRC Press |
Total Pages | : 564 |
Release | : 2013-11-01 |
Genre | : Mathematics |
ISBN | : 1466565640 |
Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them unders
Author | : Morris Kline |
Publisher | : Courier Corporation |
Total Pages | : 962 |
Release | : 2013-05-09 |
Genre | : Mathematics |
ISBN | : 0486134768 |
Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.
Author | : John M. Erdman |
Publisher | : American Mathematical Soc. |
Total Pages | : 384 |
Release | : 2018-07-09 |
Genre | : Mathematics |
ISBN | : 1470442469 |
This textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken (or is concurrently taking) an introductory course in calculus. The book includes sixteen appendices that review some indispensable prerequisites on techniques of proof writing with special attention to the notation used the course.
Author | : Jesus Martin Vaquero |
Publisher | : Academic Press |
Total Pages | : 372 |
Release | : 2020-08-10 |
Genre | : Mathematics |
ISBN | : 0128172118 |
Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. - Organized around project-based rather than traditional homework-based learning - Reviews basic mathematics and theory while also introducing applications - Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering
Author | : Richard H. Hammack |
Publisher | : |
Total Pages | : 314 |
Release | : 2016-01-01 |
Genre | : Mathematics |
ISBN | : 9780989472111 |
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.