# Highlights of Calculus

- Institution: Massachusetts Institute of Technology
- Department: Mathematics
- Teacher: Prof. Gilbert Strang
- Term: Spring 2010
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [MIT OpenCourseWare](https://ocw.mit.edu/courses/res-18-005-highlights-of-calculus-spring-2010/)
- Licence: [CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/) (Non-commercial use only.)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

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

About the Instructor

Professor Gilbert Strang is a renowned mathematics professor who has taught at MIT since 1962. Read more about Prof. Strang.

Acknowledgements

Special thanks to Professor J.C. Nave for his help and advice on the development and recording of this program.

The video editing was funded by the Lord Foundation of Massachusetts.

## Lectures

1. [Big Picture of Calculus](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/248ab295a369), 38 min (Video)
2. [Big Picture: Derivatives](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/94e7461be496), 31 min (Video)
3. [Max and Min and Second Derivative](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/9f2b2b5d15e4), 39 min (Video)
4. [The Exponential Function](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/6efb7d0b1614), 39 min (Video)
5. [Big Picture: Integrals](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/57b109e758b6), 38 min (Video)
6. [Derivative of sin x and cos x](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/34764cc8a678), 35 min (Video)
7. [Product Rule and Quotient Rule](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/d6160138bbdd), 37 min (Video)
8. [Chains f(g(x)) and the Chain Rule](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/32606562dae7), 36 min (Video)
9. [Limits and Continuous Functions](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/92b943c849c8), 37 min (Video)
10. [Inverse Functions f ^-1 (y) and the Logarithm x = ln y](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/dab5a85fbe0e), 35 min (Video)
11. [Derivatives of ln y and sin ^-1 (y)](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/1524c3d665ca), 26 min (Video)
12. [Growth Rate and Log Graphs](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/41c704286e2c), 33 min (Video)
13. [Linear Approximation/Newton's Method](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/327251beb679), 32 min (Video)
14. [Power Series/Euler's Great Formula](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/28ec5872d67e), 31 min (Video)
15. [Differential Equations of Motion](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/863bcdb57a6f), 33 min (Video)
16. [Differential Equations of Growth](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/e894c1636c3a), 35 min (Video)
17. [Six Functions, Six Rules, and Six Theorems](https://invisiblenetwork.ai/learn/mit/res-18-005-highlights-of-calculus-spring-2010/78f79425ae6c), 39 min (Video)