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Calculus I

The primary text for this course is Calculus Volume 1 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 and College Algebra 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.

This course is designed to be used as part one of a three-part calculus sequence:

  • Calculus I covers functions, limits, derivatives, and integration.
  • Calculus II covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
  • Calculus III covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integrations, and second-order differential equations.

Important note: Calculus 1 is designed to accommodate both Early and Late Transcendental approaches to calculus. Exponential and logarithmic functions are introduced informally in Module 1 and presented in more rigorous terms in Module 6. Differentiation and integration of these functions is covered in Modules 3–5 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.

Each module will contain:

  • Embedded Practice Problems
  • Discussion Prompts with instructor guides
  • Lumen OHM Homework
  • Lumen OHM Pretests
  • Lumen OHM Quizzes
  • Desmos Interactives

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.

What People Are Saying

“OHM is fantastic for providing students with immediate feedback and remediation. It has helped my students improve their precision in answers.” – Royce Shelley, Salt Lake Community College

 

 

 

“Since using OHM, my students have a better understanding of the course topics.” – Bethzabeth Berrios, SUNY Rockland

 

 

“Since using OHM, I have achieved greater efficiency in giving feedback to students. OHM helps me to quickly let students know how well they are progressing through the course.” – Noel Whelchel, Atlanta Metropolitan State 

College

“Since using OHM, I have been able to hold students accountable for their homework. It is extremely comprehensive for the students and it saves me an immense amount of time.” – Mac Psachie, Hunter College CUNY

“OHM has greatly reduced the cost of an online homework program for our students.” – Jim Smart, Tallahassee Community College

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

  • Sidney Tate, Ensign College
  • Daniel Breuer, Mitchell Community College
  • Ryan Melton, Kilgore College
  • Katie Christensen, Kennesaw State University
  • Dr. Lydia Maynard, Shenandoah University
  • Matthew Simmons, Florida State College at Jacksonville
  • Dr. Jackie Johnston, Northeast Texas Community College
  • Ariel Cintrón-Arias, East Tennessee State University
  • William Lindsey