Posts Tagged "Calculus"

New Review: Cengage Learning Calculus (Larson), 11th Edition, AP Edition

Cengage Learning's AP Calculus (Larson)Learning List has reviewed Cengage Learning’s Calculus (Larson), 11th Edition, AP Edition. This is a comprehensive course for Advanced Placement (AP) calculus. Resources are available in print format and include some online resources. Instruction is designed specifically for AP courses and provides guidance in preparing for and taking AP exams. The text covers content for AP Calculus AB and BC courses.

Calculus opens with preface that discusses the AP Calculus exam and test preparation strategies. Core content is presented in 16 chapters that present content in a linear and logical manner. The first half of the course begins with a “Chapter P: Preparation for Calculus” that reviews key concepts needed for the study of calculus (e.g., linear models, rates of change, inverse functions), and then covers limits, differentiation, integration, differential equations, integration techniques, and logarithmic, exponential, and transcendental functions. The second half of the course addresses infinite series; conics, parametric equations, and polar coordinates; vectors and the geometry of space; vector-valued functions; functions of several variables; multiple integration; and vector analysis. Chapter 16 is available online and presents “Additional Topics in Differential Equations,” such as first-order equations and series solutions of differential equations.

Instruction supports discovery learning and the synthesis of the College Board’s big ideas for AP Calculus. Margin notes throughout the text support students’ preparation for AP exams and end-of-chapter exercises include questions formatted to reflect the AP exam. The level of rigor in instruction, in problem sets, and in AP Practice Questions matches that of the AP exam.

About Cengage Learning*

Cengage Learning is a leading educational content, technology, and services company for the higher education and K–12, professional and library markets worldwide. The company provides superior content, personalized services and course-driven digital solutions that accelerate student engagement and transform the learning experience.

Information in this section is provided by or adapted from Cengage Learning.

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New Review: Wiley Publishing’s Anton: Calculus, 11th Edition

Wiley Publishing's Anton: Calculus, 11th EditionLearning List has reviewed Wiley Publishing’s Anton: Calculus, 11th Edition. This comprehensive calculus product supports instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC courses. Resources are available in print and eBook formats and additional online instructional materials are available from Wiley.

Content is presented in 15 chapters that address limits and continuity; derivatives, including graphing and applications; differentiation; integrals, including applications and the principles of evaluating integrals; modeling with differential equations; infinite series; parametric and polar curves; conic sections; vector-valued functions; partial derivatives; multiple integrals; and topics in vector calculus. Appendices include a review of trigonometry and summaries of functions, including families of functions and inverse functions. Additional “Web Appendices” are available online and address additional topics, such as the use of technology (e.g., graphing calculators), selected proofs, and differential equations.

Online resources available at WileyPLUS facilitate teacher-led instruction and student self-study. These include ORION adaptive practice tools, video tutorials, animations, and printable study guides and solutions manuals for each chapter. ORION adaptive software provides a diagnostic assessment that evaluates students’ understanding of chapter content by each objective. Animations and videos demonstrate key concepts (e.g., graphing a piecewise function) with voiceover narration. Study guides summarize and review learning objectives, vocabulary, and key ideas from each chapter and each chapter section. Solutions manuals provide answers to odd-numbered exercises.

About Wiley Publishing*

Wiley’s mission is to help teachers teach and students learn. Wiley maximizes the value of its content by publishing it in all media, notably through WileyPLUS, the online solution which has been used by nearly 1 million students in about 20 nations worldwide. Available in virtually all our disciplines, WileyPLUS courses contain the full online version of the text, plus all of the integrated teaching and learning resources instructors and students need to solve the problems inherent to their courses. Using WileyPLUS, instructors automate the assigning and grading of homework, and build highly visual presentations to engage students. Students complete assignments online with instant feedback as they are working, link directly to specific portions of their online text, and track their own progress in a personal gradebook. Students using WileyPLUS have consistently reported better understanding of material, better performance in class, and greater interest in learning.

Information in this section is provided by or adapted from Wiley Publishing.

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New Review: Wiley Publishing’s AP Calculus, 11th Edition

Learning List has reviewed Wiley Publishing’s Calculus, 11th Edition. This comprehensive calculus product supports instruction in Advanced Placement (AP) Calculus AB and AP Calculus BC courses. Resources are available in print and eBook formats and additional online instructional materials are available from Wiley.

Content is presented in 15 chapters that address limits and continuity; derivatives, including graphing and applications; differentiation; integrals, including applications and the principles of evaluating integrals; modeling with differential equations; infinite series; parametric and polar curves; conic sections; vector-valued functions; partial derivatives; multiple integrals; and topics in vector calculus. Appendices include a review of trigonometry and summaries of functions, including families of functions and inverse functions. Additional “Web Appendices” are available online and address additional topics, such as the use of technology (e.g., graphing calculators), selected proofs, and differential equations.

Online resources available at WileyPLUS facilitate teacher-led instruction and student self-study. These include ORION adaptive practice tools, video tutorials, animations, and printable study guides and solutions manuals for each chapter. ORION adaptive software provides a diagnostic assessment that evaluates students’ understanding of chapter content by each objective. Animations and videos demonstrate key concepts (e.g., graphing a piecewise function) with voiceover narration. Study guides summarize and review learning objectives, vocabulary, and key ideas from each chapter and each chapter section. Solutions manuals provide answers to odd-numbered exercises.

About Wiley Publishing*

Wiley’s mission is to help teachers teach and students learn. Wiley maximizes the value of its content by publishing it in all media, notably through WileyPLUS, the online solution which has been used by nearly 1 million students in about 20 nations worldwide. Available in virtually all our disciplines, WileyPLUS courses contain the full online version of the text, plus all of the integrated teaching and learning resources instructors and students need to solve the problems inherent to their courses. Using WileyPLUS, instructors automate the assigning and grading of homework, and build highly visual presentations to engage students. Students complete assignments online with instant feedback as they are working, link directly to specific portions of their online text, and track their own progress in a personal gradebook. Students using WileyPLUS have consistently reported better understanding of material, better performance in class, and greater interest in learning.

Information in this section is provided by or adapted from Wiley Publishing.

 

Subscribe to Learning List for access to the spec sheet, full editorial review and detailed alignment report for this material.

 

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New Review: Agile Mind’s Resources for Single-Variable Advanced Placement (AP) Calculus AB Courses

screenshot_calculus

[Source: Agile Mind]


 

Learning List has reviewed Agile Mind’s resources for single-variable Advanced Placement (AP) Calculus AB courses.  Materials are comprehensive and available online with some printable content. Instruction addresses communication and reasoning skills and the application of mathematics to real-world situations.

Instruction is organized in 36 “Topics” that address AP Calculus AB content. Each Topic structures a three-part lesson that includes (1) Overview, (2) Exploring, (3) Summary sections. Overview sections engage students using animations and visualizations to introduce new concepts and link content to students’ prior learning. Exploring sections provide core instruction in the context of real-world problems. Summary sections review and reinforce key concepts and vocabulary. Topics also include (4) Assessment and (5) Testing sections that support formative and summative assessment.

The course incorporates multiple representations of math concepts (e.g., words, tables, graphs, and equations) and develops students’ ability to communicate their thinking in written and spoken formats. Instruction includes animations that engage students using real-world scenarios and problems (e.g., graphing the arc of a snowboarder’s jump). Animations are accompanied by rigorous, open-ended questions that encourage students to think critically and apply their learning.

The course also includes two versions of an AP Calculus AB practice exam.  Practice exams are formatted to reflect the rigor, content, and time and technology allocations of the AP exam. Practice exams must be printed for paper and pencil administration and include complete solutions.

About Agile Mind*

logo-agile-mind

[Source: Agile Mind]

Agile Mind was founded to enhance one thing: the opportunity to learn. We focus on equity and high achievement in mathematics and science because of its importance to both the lives of students and to the future of our nation.

For students, we have created powerful programs, tools, and strategies that help them excel in the courses that are crucial for admission to America’s leading colleges and universities.

We have used the Internet to deliver these tools and services at a fraction of their historical costs. Further leveraging this infrastructure, we deliver high-quality services that schools and districts find increasingly essential to meet the high expectations of our nation, our states, and our communities..

Agile Mind is built on a combination of high-tech and high-touch strategies. In addition to Internet-delivered services, educators and administrators also receive face-to-face seminars, mentoring, and a rich array of  resources to manage their demanding workloads, expand their expertise, and dramatically improve outcomes for their students.

But the success of our tools and our services is measured in the faces, in the motivation, and in the achievement of your students—all of your students. Our only success is theirs and yours.

*The content in this section is provided by or adapted from Agile Mind.

Subscribe to Learning List for access to full editorial reviews, alignment reports and spec sheets.

 

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New Review: Wiley Publishing’s Calculus: Single Variable and Calculus: Single and Multivariable

HH_Calc6_Combo.pdf

[Source: Wiley Publishing]

Learning List has reviewed two of Wiley Publishing’s calculus courses written by the team of authors led by Deborah Hughes-Hallet. These resources include: Calculus: Single Variable and Calculus: Single and Multivariable.  Each course supports instruction in Advanced Placement (AP) Calculus. AB and BC courses. Resources are available in print and eBook formats, with additional online content. Materials for each course support teacher-led instruction and student self-study.

As its name suggests, Calculus: Single and Multivariable is the more comprehensive course.  It contains 21 chapters, the first 11 of which present instruction in single variable calculus. This is the same content addressed by Calculus: Single Variable. The subsequent 10 chapters present multivariable calculus.

Both products emphasize the real-world applications of calculus in contexts such as economics, medicine, and engineering. Frequent example problems model new techniques and strategies and provide step-by-step solutions that are easy to follow. Algebraic sentences are explained in detail and common student misconceptions are identified.

Overall, Learning List’s reviewers found that each text did a good job of integrating the big ideas, enduring understandings, and essential knowledge for AP Calculus AB and BC. Reviewers said that concepts were framed clearly and that instruction clarified the connection between each concept and its real-world applications.

Online self-study resources available at WileyPLUS include ORION adaptive practice tools, video tutorials, and additional reading and practice activities for each chapter. ORION adaptive software provides a diagnostic assessment that evaluates students’ understanding of chapter content by each objective. Video tutorials, or “Mini Lectures,” present whiteboard instruction with voiceover narration for some example problems.

About Wiley Publishing*

Wiley’s Global Research business is a provider of content-enabled solutions to improve outcomes in research, education and professional practice with online tools, journals, books, databases, reference works and laboratory protocols. With strengths in every major academic, scientific and professional field, and strong brands including Wiley Blackwell and Wiley VCH, Wiley proudly partners with over 800 prestigious societies representing two million members. Through Wiley Online Library, we provide online access to a broad range of content: over 4 million articles from 1,500 journals, 9,000+ books, and many reference works and databases. Access to abstracts and searching is free, full content is accessible through licensing agreements, and large portions of the content are provided free or at nominal cost to nations in the developing world through partnerships with organizations such as HINARI, AGORA, and OARE.

Wiley’s Professional Development business creates products and services that help customers become more effective in the workplace and achieve career success. It brings to life the ideas and best practices of thought leaders in business, finance, accounting, workplace learning, management, leadership, technology, behavioral health, engineering/architecture, and education to serve these communities worldwide.

Wiley Global Education serves undergraduate, graduate, and advanced placement students, lifelong learners, and, in Australia, secondary school students. We publish educational materials in all media, notably through WileyPLUS, our integrated online suite of teaching and learning resources. Our programs target the sciences, engineering, computer science, mathematics, business and accounting, statistics, geography, hospitality and the culinary arts, education, psychology, and modern languages.

*The content in this section is provided by or adapted from Wiley Publishing.

Subscribe to Learning List for access to full editorial reviews, alignment reports and spec sheets.

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