By The Beachwood Math Affairs Desk
Lecture titles from a four-DVD course about calculus as advertised in The New Yorker on page 37 of the Feb. 4, 2008 edition.
1. Two Ideas, Vast Implications
2. Stop Sign Crime –
The First Idea of Calculus
The Derivative
3. Another Car, Another Crime –
The Second Idea of Calculus
The Integral
4. The Fundamental Theorem of Calculus
5. Visualizing the Derivative – Slopes
6. Derivates the Easy Way –
Symbol Pushing
7. Abstracting the Derivative –
Circles and Belts
8. Circles, Pyramids, Cones, and Spheres
9. Archimedes and the Tractrix
10. The Integral and the Fundamental Theorem
11. Abstracting the Integral –
Pyramids and Dams
12. Buffon’s Needle or pi from Breadsticks
13. Achilles, Tortoises, Limits, and Continuity
14. Calculators and Approximations
15. The Best of All Possible Worlds –
Optimization
16. Economics and Architecture
17. Galileo, Newton, and Baseball
18. Getting of the Line – Motion in Space
19. Mountain Slopes and Tangent Planes
20. Several Variables – Volumes Galore
21. The Fundamental Theorem Extended
22. Fields of Arrows – Differential Equations
23. Owls, Rats, Waves, and Guitars
24. Calculus Everywhere
Posted on February 11, 2008