Interactive Calculus, 1st Edition
Features
Interactive Calculus supports the instructor in teaching and engages students in learning calculus with complete video-based instruction, Interactive elements and immediate feedback. Interactive Calculus allows granular customization for instructors and industry-leading prerequisite help for students.
Complete video-based instruction
A team of 4 expert authors created hundreds of short videos that explain concepts and work out examples for every topic in calculus based on the content structure of the acclaimed Thomas’ Calculus text from Pearson. Videos cover everything in Thomas’ Calculus, with additional content on proofs and less-common topics.
Interactive elements and immediate feedback
Project specific, author created GeoGebra interactive figures are used in the videos AND by students immediately following the video. Students get MyLab Math’s top notch learning aids and ADA accessibility in practice exercises, again, immediately following the videos. Students Watch, Explore, and Practice in a new version of MyLab Math---the Interactive Assignment.
Customization for instructor preference and industry leading prerequisite help
Instructors can easily edit the order of content or add their own videos, interactives, or exercises. Content can be sequential or open to students as a learning experience. Educators can choose from over 10,000 assignable exercises in MyLab Math in addition to the library of prebuilt assignments and prerequisite support resources.
Marc Renault
Professor of Mathematics, Shippensburg University
Marc Renault attended Wake Forest University where he received his bachelor’s and master’s degrees (1994, 1996) in mathematics. In 2002 he received his Ph.D. in mathematics at Temple University. Since 2002 he has been at Shippensburg University in Pennsylvania where he teaches a wide variety of courses. His research interests lie in combinatorics and number theory, but he also enjoys creating interactive figures with GeoGebra, always trying to construct the next great demonstration that will spark student curiosity in calculus.
Rachel Vincent-Finley
Associate Dean for Academic Affairs, College of Sciences and Engineering, Southern University and A&M College
Rachel Vincent-Finley earned a bachelor's degree in Mathematics from Bryn Mawr College and master's and doctoral degrees in Computational and Applied Mathematics from Rice University.
Rachel Vincent-Finley joined the faculty at Southern University and A&M College in 2009 and now serves as the Associate Dean for Academic Affairs in the College of Sciences and Engineering. Her service to the state of Louisiana includes appointments on the Louisiana Optical Network Infrastructure (LONI) Management Council and the LaSTEM Advisory Council. Her general research interests include numerical analysis with applications to molecular biophysics and materials science.
Dr. Vincent-Finley’s education and outreach efforts include broadening participation in STEM and enhancing the connections between higher education and industry through workforce development partnerships.
Herb Kunze
Professor of Mathematics, University of Guelph
Herb Kunze is a Professor of Mathematics at the University of Guelph in Ontario, Canada. Students and colleagues have been very kind in commenting on and supporting his teaching: he has received institutional and provincial teaching awards, and he has been an invited speaker, including as a keynote, at teaching conferences. He is known for his informal "office hours" held in the University Center at a round table that students have nicknamed "the Circle of Herb." His love of teaching drives everything he does, including his active research in applied analysis and his faculty association work.
Jason Gregersen
Associate Teaching Professor, Mathematical Sciences, Michigan Technological University
Jason Gregersen received a bachelor's in mathematics education from Northern Michigan University in 2009 and a master's in applied mathematics from Michigan Technological University in 2011. Since 2011 he has been teaching at Michigan Technological University where he is currently an Associate Teaching Professor primarily teaching calculus, linear algebra, and differential equations. His primary area of interest is in finding new ways to integrate technology into education, in order to increase student engagement and add authentic applications into the curriculum.
1. Functions
2. Limits and Continuity
3. Derivatives
4. Applications of Derivatives
5. Integrals
6. Applications of Definite Integrals
7. Integrals and Transcendental Functions
8. Techniques of Integration
9. First-Order Differential Equations
10. Infinite Sequences and Series
11. Parametric Equations and Polar Coordinates
12. Vectors and the Geometry of Space
13. Vector-Valued Functions and Motion in Space
14. Partial Derivatives
15. Multiple Integrals
16. Integrals and Vector Fields
17. Second-Order Differential Equations
18. Complex Functions (online)
19. Fourier Series and Wavelets (online)
Video-Guided Learning in Collegiate Mathematics
Jason Gregersen, Michigan Technological University
Rachel Vincent-Finley, Southern University
Herb Kunze, University of Guelph
To announce the launch of the first edition of Interactive Calculus at the 2023 ICTCM conference in Denver, CO, three of the four authors discuss current best practices and research on the use of videos in mathematics courses. This webinar provides insight into the evolution, equitability, and pedagogical benefits of videos as well as video use across various modes of teaching.