Calculus 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates. Each module begins with a prerequisite material review section, in which critical skills from Precalculus, College Algebra, and Calculus 1 are revisited. Additionally, just-in-time reviews of essential math concepts appear throughout the text to help those students who need further learning support. Calculus 2 includes embedded algorithmically generated practice questions, worked-example videos, and a complete set of outcome aligned online assessments in OHM.

Keeping student engagement in mind, we have created a full suite of thought-provoking assignments: discussion prompts, Desmos interactives, application based assignments related to 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 and institutional requirements. All content is constructed around the goal of helping students master the learning outcomes for this course.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 integrations, and second-order differential equations.

Lumen Learning’s Calculus 2 consists of the following resources:

• Online Homework Manager (OHM): A flexible, user-friendly math homework system with customizable learning content, assessments, and activities you can tailor to fit your needs. Request an OHM instructor account.
• Outcome-aligned OER: Designed to replace expensive textbooks, this course curates open educational resources (OER) aligned with learning outcomes. Teach as-is or customize to fit your needs.
• LMS Integration: This course may be delivered with seamless LMS integration and automatic grade return for Canvas, Blackboard, Brightspace, and Moodle.
• Accessibility: Lumen is 100% committed to providing learning materials that are accessible to all learners. Lumen course materials are mobile-friendly.

Lumen Learning applies learning science research to the design of affordable digital courseware to engage students and empower them in building a strong foundation in Mathematics. OHM has fully digital course materials focused on hands-on practice, customizable template courses, interactive full e-text with immediate feedback that stands alone or integrates seamlessly into Brightspace, Canvas, Blackboard, or Moodle.

Contributors: Lumen Learning vetted and improved sources from Calculus Volume 2 by OpenStax.

Course Content