2. Calculus The mathematics of continuous change Instead of looking at average or overall results, calculus looks at how things change from second to second.

3. Calculus The mathematics of continuous change Instead of looking at average or overall results, calculus looks at how things change from second to second.

4. For example, you remember problems like this: Grandma drives 40mph for 6 hours. How far does she drive?

5. For example, you remember problems like this: Grandma drives 40mph for 6 hours. How far does she drive? 40 X 6 240 miles

6. In the real world, though, nobody drives 40mph constantly for 6 hours.  Speed limits vary.  You speed up going downhill and slow down going uphill.  You accelerate and hit the brakes.  You might even stop and start again.

7. Calculus looks at what happens at any given second while you’re driving—not just the overall average.

8. Calculus was developed around the year 1700, separately but simultaneously, by Isaac Newton in England and Gottfried von Leibniz in Germany.

9. 3 main topics of calculus Limits Derivatives Antiderivatives

10. Limits What is infinity?

11. Limits What happens when you divide by zero?

12. Derivatives What is the slope of a curve?

13. Derivatives How are things changing?

14. Derivatives How can you make the maximum profit or achieve the least cost in business?

15. Antiderivatives (Integrals) What is the area or volume of an irregular region?

16. Antiderivatives (Integrals) What function has a given graph (or will create desired standards)?