Calculus II

Calculus II covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

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 skills from Precalculus, College Algebra, and Calculus I  are revisited. Additionally, just-in-time reviews 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 thought-provoking assignments: discussion prompts, Desmos interactives, application-based assignments (in relation 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.

Table of Contents

  • Module 1: Integration
  • Module 2: Applications of Integration
  • Module 3: Techniques of Integration
  • Module 4: Differential Equations
  • Module 5: Sequences and Series
  • Module 6: Power Series
  • Module 7: Parametric Equations and Polar Coordinates

 

Additional Course Features

These course materials include:

  • 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.

Teaching with Lumen Course Materials

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  • Replace expensive textbooks | Ready-to-adopt open educational resources (OER) include text, videos, simulations, self-checks, and other interactives.
  • Choose affordability | Low cost to students.
  • Use better content | Continuous, data-driven improvements make OER content more effective at supporting learning.
  • Simplify access | Easy access to course materials in your LMS (Blackboard, Canvas, D2L, and Moodle) plus automatic grade return.
  • Improve student outcomes | Research shows Lumen course materials can improve academic performance, passing rates, and course completion.

FOR INSTRUCTORS

  • Connect with students | Instructor and student tools designed to help strengthen communication.
  • Save time | Start with curated, outcome-aligned OER and supplemental instructor resources like quiz banks, assignments, slide decks, etc. 
  • Customize your course | Freedom to tailor course content to fit your learning outcomes and instructional approach.
  • Enjoy awesome support | Faculty-friendly onboarding, training, and support. 
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FOR STUDENTS

  • Learn by doing | Online homework, self-check activities, and other interactive tools strengthen learning.
  • Engage from day one | Avoid falling behind with access to course materials from the first day of class.
  • Retain materials | Download a digital copy of course content to keep forever.
  • Become a better learner | Real-time feedback guides students on where to focus and how to improve.

Are you ready to get started with Lumen Learning digital courseware?

Great! Fill out our Explore a Course form, and our team will contact you promptly.

Developed by Lumen Learning

  • Daniel Breuer
  • Ryan Melton, Kilgore College
  • Matthew Simmons, Florida State College at Jacksonville
  • William Lindsey
  • Kaiwen Amrein, Portland Community College
  • Brenna Wragge
  • Katie Christensen, Kennesaw State University
  • Sidney Tate, Ensign College