Session 1: Introduction to Derivatives

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Overview

This session provides a brief overview of Unit 1 and describes the derivative as the slope of a tangent line. It concludes by stating the main formula defining the derivative.

Lecture Videos and Notes

Video Excerpts

» Clip 1: Introduction to 18.01 (00:03:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Geometric Interpretation of Differentiation (00:05:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Limit of Secants (00:03:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

» Clip 4: Slope as Ratio (00:02:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

» Clip 5: Main Formula (00:03:00)

» Accompanying Notes (PDF)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

Secants and Tangents

Please use the mathlet below to complete the problem.

Mathlet

Secant Approximation

Recitation Video

Definition of Derivative

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> Download from iTunes U (MP4 - 27MB)

> Download from Internet Archive (MP4 - 27MB)

> Download English-US transcript (PDF)

> Download English-US caption (SRT)

Graphing a Derivative Function

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> Download from iTunes U (MP4 - 26MB)

> Download from Internet Archive (MP4 - 26MB)

> Download English-US transcript (PDF)

> Download English-US caption (SRT)

 

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