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, ...
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PROFESSOR: Hi, I'm Gilbert Strang, and this is the very first in a series of videos about highlights of calculus. I'm doing these just because I hope they'll be helpful. It seems to me so easy to be lost in the big calculus textbooks and the many, many problems and in the details. But do you see the big picture? Well, I hope this will help. For me, calculus is about the relation between two functions. And one example for those two functions, one good example, is function 1, the distance, distance traveled, what you see on a trip meter in a car. And function 2, the one that goes with distance, is speed, how quickly you're going, how fast you're traveling. So that's one pair of functions. Let me give another pair. I could get more and more, but I think if ...
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PROFESSOR: Hi, I'm Gilbert Strang, and this is the very first in a series of videos about highlights of calculus. I'm doing these just because I hope they'll be helpful. It seems to me so easy to be lost in the big calculus textbooks and the many, many problems and in the details. But do you see the big picture? Well, I hope this will help. For me, calculus is about the relation between two functions. And one example for those two functions, one good example, is function 1, the distance, distance traveled, what you see on a trip meter in a car. And function 2, the one that goes with distance, is speed, how quickly you're going, how fast you're traveling. So that's one pair of functions. Let me give another pair. I could get more and more, but I think if ...
