Introductory · Math & Logic

Calculus I

The standard first calculus course: limits, derivatives and their applications, the integral, and the Fundamental Theorem of Calculus.

5 chapters15 lessons2 hr 9 min15 quick checks

How this course works

The chapters and lessons below are the fixed course structure. When you start, LearnLive teaches each lesson interactively and adapts examples, pacing, and questions to you.

Complete syllabus

Every chapter and lesson

  1. 01

    Chapter 1 · 3 lessons

    Limits & Continuity

    1. 1.1

      The idea of a limit

      9 min · Quick check

    2. 1.2

      Computing limits

      9 min · Quick check

    3. 1.3

      Continuity & the IVT

      8 min · Quick check

  2. 02

    Chapter 2 · 3 lessons

    The Derivative

    1. 2.1

      Rates of change & the derivative

      9 min · Quick check

    2. 2.2

      Differentiation rules

      9 min · Quick check

    3. 2.3

      The chain rule

      8 min · Quick check

  3. 03

    Chapter 3 · 3 lessons

    Applying Derivatives

    1. 3.1

      Related rates

      9 min · Quick check

    2. 3.2

      Extrema & curve analysis

      9 min · Quick check

    3. 3.3

      Optimization

      8 min · Quick check

  4. 04

    Chapter 4 · 3 lessons

    The Integral

    1. 4.1

      Antiderivatives

      8 min · Quick check

    2. 4.2

      The definite integral

      9 min · Quick check

    3. 4.3

      The Fundamental Theorem

      9 min · Quick check

  5. 05

    Chapter 5 · 3 lessons

    Applying Integration

    1. 5.1

      Substitution

      9 min · Quick check

    2. 5.2

      Area between curves

      8 min · Quick check

    3. 5.3

      Average value & applications

      8 min · Quick check

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