Ritchey, Kapanjie & Fisher, Interactive Applied Calculus
©2020 | Pearson | Available November 2019
Written in MyLab™ Math, Interactive Applied Calculus weaves video, text, and MyLab Math assessment questions into a seamless learning experience that helps more students master calculus and succeed in the course.
Rather than introducing concepts all at once on a static, printed page, this unique online product uses Interactive Assignments that take a “watch a little, do a little” approach. Concepts are explained to students, who then practice them immediately — leading to deeper visual and conceptual understanding. The authors cover all key concepts, but do so in a way that students will find accessible and engaging.
Interactive Applied Calculus is not only written in MyLab Math, but takes advantage of the MyLab’s hallmark course management features and functionality. This flexibility, combined with the authors’ decades of teaching experience, make this a perfect solution – whether you teach applied calculus in a traditional lecture, online, hybrid, or flipped format.
Interactive Applied Calculus is the newest addition to Pearson’s suite of Interactive Courses for MyLab Math and Statistics.
Each chapter of Interactive Applied Calculus prompts students to follow this learning path in MyLab Math:
See how an Interactive Assignment works
Interactive Applied Calculus delivers content through short, dynamic videos so that concepts unfold gradually and students learn at their own pace. The videos use visual and auditory cues, interactive figures, animations, and other pedagogy that are not possible in a traditional textbook. Authored and narrated by mathematicians who are active in the classroom, the videos underwent the same thoughtful development process as a printed textbook.
See a sample video
Watch more sample videos
Interactive Applied Calculus is written entirely in MyLab™ Math. As a result, when you use Interactive Applied Calculus you also have access to additional teaching and learning tools that empower you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.
For instructors who wish to create their own homework assignments, there are approximately 3,400 assignable exercises in MyLab Math for Interactive Applied Calculus. Question types include Setup & Solve exercises that require students to show how they set up a problem as well as the solution, better mirroring what is required of students on tests.
All activity is tracked in the MyLab gradebook so instructors gain insight into student learning that goes beyond exam performance.
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Robust learning and teaching resources make it easy to implement Interactive Applied Calculus and other active learning strategies in any course format.
A Note-Taking Guide is provided for students to use as they watch the videos, ensuring that they are actively watching and engaged in the learning process. The note-taking guide can later be used as a study guide for exams. The Note-Taking Guide is available in print format or can be printed online.
Author-written Learning Worksheets can be used for independent study or group work. As students use the Interactive Assignments to do more learning out of class, you’ll find these worksheets perfect for active learning in class.
For students who may want to read or reference a traditional book, we’ve included the narrative of Lial, Greenwell, and Ritchey’s Calculus with Applications within the MyLab course. Interactive Applied Calculus’ table of contents mirrors that of Calculus with Applications. The Calculus with Applications eText can be used by students as a supplemental study aid to the Interactive Assignments or it can be used to quickly reference where topics are located and how they are treated.
Learning Catalytics™ is a student response tool that uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking during lecture, fostering student engagement and peer-to-peer learning with real-time analytics.
1. Linear Functions
1-1 Slopes and Equations of Lines
1-2 Linear Functions and Applications
1-3 The Least Squares Line
2. Nonlinear Functions
2-1 Properties of Functions
2-2 Quadratic Functions; Translation and Reflection
2-3 Polynomial and Rational Functions
2-4 Exponential Functions
2-5 Logarithmic Functions
2-6 Applications: Growth and Decay; Mathematics of Finance
3. The Derivative
3-3 Rates of Change
3-4 Definition of the Derivative
3-5 Graphical Differentiation
4. Calculating the Derivative
4-1 Techniques for Finding Derivatives
4-2 Derivatives of Products and Quotients
4-3 The Chain Rule
4-4 Derivatives of Exponential Functions
4-5 Derivatives of Logarithmic Functions
5. Graphs and the Derivative
5-1 Increasing and Decreasing Functions
5-2 Relative Extrema
5-3 Higher Derivatives, Concavity, and the Second Derivative Test
5-4 Curve Sketching
6. Applications of the Derivative
6-1 Absolute Extrema
6-2 Applications of Extrema
6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
6-4 Implicit Differentiation
6-5 Related Rates
6-6 Differentials: Linear Approximation
7-3 Area and the Definite Integral
7-4 The Fundamental Theorem of Calculus
7-5 The Area Between Two Curves
7-6 Numerical Integration
8. Further Techniques and Applications of Integration
8-1 Integration by Parts
8-2 Volume and Average Value
8-3 Continuous Money Flow
8-4 Improper Integrals
9. Multivariable Calculus
9-1 Functions of Several Variables
9-2 Partial Derivatives
9-3 Maxima and Minima
9-4 Lagrange Multipliers
9-5 Total Differentials and Approximations
9-6 Double Integrals
R. Algebra Reference
R-3 Rational Expressions
Table 1. Formulas of Geometry
Table 2. Integrals
Answers to Selected Exercises
This material is protected under all copyright laws, as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
Nathan P. Ritchey earned a B.A. in Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. in Applied Mathematics and a Ph.D. in Mathematics from Carnegie Mellon University.
Nathan is former chair of the Department of Mathematics and Statistics at Youngstown State University and is currently a professor in the Department of Mathematics at Kent State University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant / Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations.
In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's "People Who Make a Difference Award," the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program.
Darin Kapanjie joined the Fox School of Business at Temple University in 2003. He has served as Managing Director of Online & Digital Learning and the Academic Director of Online MBA and BBA Programs. Darin helped build and manage the interactive and collaborative Fox Online model adopted for Temple's online business courses.
Darin is committed to teaching beyond the physical classroom. He is known for using cutting-edge teaching technologies, and was an early adopter of Class Capture, Wireless Tablet Annotation, and Pearson’s MyLabs; he was the first to use WebEx web conferencing tools to teach synchronous online classes at Temple. Darin has been honored with Philadelphia Business Journal’s Top 40 Under 40 Award, the Musser Award for Leadership in Teaching, the Andrisani-Frank Excellence in Undergraduate Teaching Award, the Fox Online MBA Professor of the Year, the Innovation in Teaching Award at Temple’s Classroom Engagement Through Technology Conference, a two-time winner of the Fox Business Honors Teacher of the Year, and was the inaugural recipient of the John DeAngelo Innovative Leader in Technology Award.
Katharine Fisher has taught mathematics at the college level for 25 years in Canada and the U.S., and is currently a Senior Lecturer at the University of Toledo.
She completed her graduate and undergraduate studies in pure mathematics. In 2016 she received the College of Natural Sciences and Mathematics Excellence in Teaching Award from her university.
When Katharine was asked to develop a technology-rich applied calculus course for her university 10 years ago, she began making hundreds of videos to incorporate into her classes and received enthusiastic response from her students. She has taught in a variety of course formats including hybrid, lab-based, online, and traditional lecture environments. When not teaching or developing course materials, she can be found running, cycling, or traveling with her husband and kids.
To review a sample chapter of Interactive Applied Calculus, download the MyLab Math course today:
Interactive Applied Calculus will be available for use in spring 2020.
Contact your Pearson representative for more information.
Ritchey, Kapanjie & Fisher