Calculus I · Limits · Derivatives · Applications

Calculus I Resources

Introduction and example videos for students studying limits, derivatives, applications of derivatives, and the foundations of integral calculus.

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Course Overview

These resources are designed to support students in Calculus I as they build a foundation in limits, derivatives, applications of derivatives, and the early ideas of integration.

The video collection includes introductions to key ideas as well as worked examples. Many of the videos include built-in questions to help students check their understanding as they watch.

Notre Dame login required: These videos are hosted through Notre Dame Panopto and include embedded questions to test understanding. Students will need to log in with their Notre Dame credentials to access the collection.

Introduction and Example Videos

A collection of Calculus I videos that introduce major course concepts and work through examples. The built-in questions are designed to help students pause, reflect, and test their understanding while watching.

Concept Introductions Worked Examples Embedded Questions ND Login Required
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Topics Covered

The videos are intended to support the central ideas of a first course in calculus, with an emphasis on understanding concepts and practicing common problem types.

Limits Continuity Derivatives Applications Optimization Related Rates Integration
How to Use These Videos

How to Use These Videos

  • Watch with pencil and paper nearby. Pause the video before each worked example is completed and try to finish the next step on your own.
  • Take the embedded questions seriously. They are included to help you check whether you are following the main ideas, not just watching passively.
  • For exam preparation, focus on explaining why a method applies. In Calculus I, recognizing the structure of a problem is often as important as carrying out the computation.
  • Rewatch videos selectively. Rather than reviewing everything at once, return to the topics where your homework, quizzes, or practice exams show the most room for growth.