MIT OpenCourseWare

Highlights of Calculus

Highlights of Calculus is a series of short videos that introduces the basics of calculus - how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject. The series is divided into three sections- 1) Introduction - Why Professor Gilbert Strang created these videos, 2) Highlights of Calculus - Five videos reviewing the key topics and ideas of calculus, Applications to real-life situations and problems, and 3) Derivatives - Twelve videos focused on differential calculus, More applications to real-life situations and problems. (from ocw.mit.edu )

Instructor

Professor Gilbert Strang.

Mathematics

2010

Lecture 01 - Big Picture of Calculus

Lecture 02 - Big Picture: Derivatives

Lecture 03 - Max and Min and Second Derivative

Lecture 04 - The Exponential Function

Lecture 05 - Big Picture: Integrals

Highlights of Calculus

Professor Gilbert Strang.

Lecture 01 - Big Picture of Calculus

Lecture 02 - Big Picture: Derivatives

Lecture 03 - Max and Min and Second Derivative

Lecture 04 - The Exponential Function

Lecture 05 - Big Picture: Integrals

Lecture 06 - Derivative of sin x and cos x

Lecture 07 - Product Rule and Quotient Rule

Lecture 08 - Chains f(g(x)) and the Chain Rule

Lecture 09 - Limits and Continuous Functions

Lecture 10 - Inverse Functions f -1 (y) and the Logarithm x = ln y

Lecture 11 - Derivatives of ln y and sin -1 (y)

Lecture 12 - Growth Rate and Log Graphs

Lecture 13 - Linear Approximation/Newton's Method

Lecture 14 - Power Series/Euler's Great Formula

Lecture 15 - Differential Equations of Motion

Lecture 16 - Differential Equations of Growth

Lecture 17 - Six Functions, Six Rules, and Six Theorems