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基本説明
A must for all first-year calculus students.
Full Description
This text provides an informal, student-oriented guide to calculus. It contains practical explanations together with real-world examples and may be used alongside other textbooks
Contents
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.
