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Photograph of Gilbert Strang in his office.

CourseRES.18-00517 lectures9 h 46 min

Highlights of Calculus

Prof. Gilbert Strang · Massachusetts Institute of Technology

Start with lecture 1 At MIT OpenCourseWare

About

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:

Introduction

Why Professor Strang created these videos

How to use the materials

Highlights of Calculus

Five videos reviewing the key topics and ideas of calculus

Applications to real-life situations and problems

Additional summary slides and practice problems

Derivatives

Twelve videos focused on differential calculus

More applications to real-life situations and problems

Additional summary slides and practice problems

Lectures

Highlights of Calculus (5 videos)

  1. Big Picture of Calculus 38 min · Video
  2. Big Picture: Derivatives 31 min · Video
  3. Max and Min and Second Derivative 39 min · Video
  4. The Exponential Function 39 min · Video
  5. Big Picture: Integrals 38 min · Video

Derivatives (12 videos)

  1. Derivative of sin x and cos x 35 min · Video
  2. Product Rule and Quotient Rule 37 min · Video
  3. Chains f(g(x)) and the Chain Rule 36 min · Video
  4. Limits and Continuous Functions 37 min · Video
  5. Inverse Functions f ^-1 (y) and the Logarithm x = ln y 35 min · Video
  6. Derivatives of ln y and sin ^-1 (y) 26 min · Video
  7. Growth Rate and Log Graphs 33 min · Video
  8. Linear Approximation/Newton's Method 32 min · Video
  9. Power Series/Euler's Great Formula 31 min · Video
  10. Differential Equations of Motion 33 min · Video
  11. Differential Equations of Growth 35 min · Video
  12. Six Functions, Six Rules, and Six Theorems 39 min · Video

Syllabus and materials

At MIT OpenCourseWare, as the course publishes them.

Credits and licence

Institution
Massachusetts Institute of Technology
Department
Mathematics
Teacher
Prof. Gilbert Strang
Term
Spring 2010
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
MIT OpenCourseWare
Licence
CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only. MIT OpenCourseWare's terms
Attribution
Prof. Gilbert Strang. Highlights of Calculus. Spring 2010. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
Who can watch
MIT OpenCourseWare gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed