18 episodes

Highlights of Calculus is a series of videos that introduce the fundamental concepts of calculus to both high school and college students. Renowned mathematics professor, Gilbert Strang, will guide students through a number of calculus topics to help them understand why calculus is relevant and important to understand.

# Highlights of Calculus - Videos MIT

• Education

Highlights of Calculus is a series of videos that introduce the fundamental concepts of calculus to both high school and college students. Renowned mathematics professor, Gilbert Strang, will guide students through a number of calculus topics to help them understand why calculus is relevant and important to understand.

• video
Gil Strang's Introduction to Highlights of Calculus

## Gil Strang's Introduction to Highlights of Calculus

Gil Strang gives an overview of his video series Calculus for MIT's Highlights for High School program. Designed to give an easier introduction to calculus.

• 4 min
• video
Big Picture of Calculus

## Big Picture of Calculus

Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

• 37 min
• video
Big Picture: Derivatives

## Big Picture: Derivatives

Calculus finds the relationship between the distance traveled and the speed — easy for constant speed, not so easy for changing speed. Professor Strang is finding the "rate of change" and the "slope of a curve" and the "derivative of a function."

• 30 min
• video
Max and Min and Second Derivative

## Max and Min and Second Derivative

At the top and bottom of a curve (Max and Min), the slope is zero. The "second derivative" shows whether the curve is bending down or up.

• 38 min
• video
The Exponential Function

## The Exponential Function

Professor Strang explains how the "magic number e" connects to ordinary things like the interest on a bank account.

• 38 min
• video
Big Picture: Integrals

## Big Picture: Integrals

The second half of calculus looks for the distance traveled even when the speed is changing. Finding this "integral" is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.

• 37 min

## Customer Reviews

4.5 out of 5
87 Ratings

87 Ratings

Matty Wanna ,

### Thank you so much.

I’m 73, and it’s been a while since I took my semesters in college. I wish I learned the underpinnings of what makes calculus so alive. Still, my professors were great but they had to cover too much material in too short of time and it was hard to get the sweet essence of calculus doing derivatives and integrations up the yin yang. Anyway, bravo, professor Strang. Thank you so much for resuscitating my math brain.

Support MIT OCW and FSF ,

### Excellent

This is a wonderful master class for those who have already learned calculus elsewhere, however long it’s been.

Thank you, Professor Strang!

Sandy'sHuman ,

### I wish

I could have watched these when I was still in college. Maybe I would have passed.