This course is designed to be used as part one of a three-part calculus sequence:
- Calculus 1 covers functions, limits, derivatives, and integration.
- Calculus 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
- Calculus 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
The primary text for this course is Calculus Volume 2 from OpenStax. Lumen has curated, designed, and built additional resources to enhance both the teaching and learning experience. Each module begins with a prerequisite material review section, in which critical concepts from Precalculus, College Algebra, and Calculus I are revisited. Additionally, just-in-time review of essential math concepts appear throughout the text to help those students who need further learning support. The course includes embedded algorithmically generated practice questions, worked-example videos, and a complete set of outcome-aligned online assessments in OHM. For even more practice opportunities, there are problem sets for each section and an activity for each module. Keeping student engagement in mind, we have created a full suite of exciting assignments: discussion prompts, Desmos interactives, application-based assignments (economics, computer science, biology, physics, and engineering), flipped classroom options, and a capstone project. Faculty can adapt and use these materials in a variety of ways depending on their class structure. All content is constructed around the goal of helping students master the learning outcomes for this course.
Important note: Calculus 2 is designed to accommodate both Early and Late Transcendental approaches to calculus. Exponential and logarithmic functions are presented in Module 2. Integration of these functions is covered in Module 1 for instructors who want to include them with other types of functions. These discussions, however, are in separate sections that can be skipped for instructors who prefer to wait until the integral definitions are given before teaching the calculus derivations of exponentials and logarithms.
Contributing Faculty and Authors include:
- Daniel Breuer, Contributor
- Zachary Beamer, Piedmont Virginia Community College
- Ryan Melton, Kilgore College
- Matthew Simmons, Florida State College at Jacksonville
- William Lindsey, Contributor
- Kaiwen Amrein, Portland Community College
- Brenna Wragge, Contributor
- Katie Christensen, Kennesaw State University
- Sidney Tate, Ensign College
- … as well as the eyes and feedback of many other faculty and institutions
Lumen Learning’s mission is to make great learning opportunities available to all students, regardless of socioeconomic background.
We do this by using open educational resources (OER) to create well-designed and low-cost course materials that replace expensive textbooks. Because learning is about more than affordability and access, we also apply learning science insights and efficacy research to develop learning activities that are engineered to improve subject mastery, course completion and retention.
If you’d like to connect with us to learn more about adopting this course, please Contact Us.