Home' Technology Review : March April 2008 Contents One of the greatest achievements of
the mind is calculus. It belongs in
the pantheon of our accomplish-
ments with Shakespeare s plays, Beethoven s
symphonies, and Einstein s theory of
relativity. Calculus is a beautiful idea expos-
ing the rational workings of the world.
Calculus, separately invented by New-
ton and Leibniz, is one of the most fruit-
ful strategies for analyzing our world ever
devised. Calculus has made it possible to
build bridges that span miles of river, trav-
el to the moon, and predict patterns of
population change. The fundamental insight
of calculus unites the way we see economics,
astronomy, population growth, engineer-
ing, and even baseball. Calculus is the
mathematical structure that lies at the core of
a world of seemingly unrelated issues.
Expanding the Insight
Yet for all its computational power,
calculus is the exploration of just two ideas---
the derivative and the integral---both of
which arise from a commonsense analysis of
motion. All a 1,300-page calculus textbook
holds, Professor Michael Starbird asserts,
are those two basic ideas and 1,298 pages of
examples, applications, and variations.
Professor Starbird teaches that calculus
does not require a complicated vocabulary
or notation to understand it. "Calculus is a
crowning intellectual achievement of human-
ity that all intelligent people can appreciate,
enjoy, and understand."
This series is not designed as a college
calculus course; rather, it will help you see
calculus around you in the everyday world.
Every step is in English rather than "math-
ese." The course takes the approach that
every equation is also a sentence that can be
understood, and solved, in English.
About Your Professor
Professor Michael Starbird is a
distinguished and highly popular teacher
with an uncommon talent for making the
wonders of mathematics clear to nonmath-
ematicians. He is Professor of Mathematics
and a Distinguished Teaching Professor at
The University of Texas at Austin. Professor
Starbird has won several teaching awards,
most recently the 2007 Mathematical Asso-
ciation of America Deborah and Frank-
lin Tepper Haimo National Award for
Distinguished College or University
Teaching of Mathematics, which is limited
to three recipients annually from the 27,000
members of the MAA.
About The Teaching Company
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fessors from America s best colleges and
universities each year. From this extraor-
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We ve been doing this since 1990, pro-
ducing more than 3,000 hours of material
in modern and ancient history, philosophy,
literature, fine arts, the sciences, and math-
ematics for intelligent, engaged, adult life-
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completely satisfying, you may exchange it
for another, or we will refund your money
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---
4. The Fundamental Theorem
5. Visualizing the Derivative---Slopes
6. Derivatives the Easy Way---
7. Abstracting the Derivative---
Circles and Belts
8. Circles, Pyramids, Cones, and Spheres
9. Archimedes and the Tractrix
10. The Integral and the
11. Abstracting the Integral---
Pyramids and Dams
12. Buffon s Needle or π from Breadsticks
13. Achilles, Tortoises, Limits,
14. Calculators and Approximations
15. The Best of All Possible
16. Economics and Architecture
17. Galileo, Newton, and Baseball
18. Getting off 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---
23. Owls, Rats, Waves, and Guitars
24. Calculus Everywhere
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Calculus Is the Exploration of Two Basic Ideas.
Master Them and Open a New World for Yourself !
Change and Motion: Calculus Made Clear, 2nd Edition, on DVD
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