Written by three giftedand funnyteachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on examsall the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
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Colin Adams was awarded the Mathematical Association of America Distinguished Teaching Award for 1998.
Exactly who and what is your instructor?; the general principles of
acing calculus; good and bad questions; are you ready? the calc prereqs; how
to handle the exam; lines, circles and their friends; limits - you gotta have
them; continuity or why you shouldn't ski down continuous slopes; what is the
derivative? change is good; the limit definition of the derivative - finding
derivatives the hard way; derivatives - how to find them the easy way;
velocity and acceleration - put the pedal to the metal; the chain rules - S&M
made easy; graphing - how to doodle like an expert; maxima and minima - the
bread and butter section; implicit differentiation - let's be oblique;
related rates - you change, I change; the differential - estimating your way
to fame and glory; the intermediate value of theorem and the mean value
theorem; integration -doing it all backwards; the definite integral;
modelling - from toy planes to the runway; exponents and logarithms - a
review of all that "e" hoopla; doing that calc thing to exponents and logs;
logarithmic differentiation - making the hard stuff easy; exponential growth
and decay - the rise and fall of slime; fancy pants techniques of
integration; the twenty most common exam mistakes; what's going to be on the
final?; glossary - a quick guide to the mathematical jargon.
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