CalculusAn innovative text that emphasizes the graphical, numerical and analytical aspects of calculus throughout and often asks students to explain ideas using words. This problem driven text introduces topics with a real-world problem and derives the general results from it. It can be used with any technology that can graph and find definite integrals numerically. The derivative, the integral, differentiation, and differential equations are among the topics covered. |
Contents
A LIBRARY OF FUNCTIONS | 1 |
THE DEFINITE INTEGRAL | 3 |
THE DERIVATIVE | 94 |
Copyright | |
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acceleration amplitude answer antiderivative approximation Assume axes C₁ calculator or computer chain rule concave constant converges cosē cosine cost critical points decimal places decreasing definite integral derivative difference quotient differential equation dP/dt effective annual yield error estimate Euler's method Example exponential function feet find a formula Fourier function f(x given gives graph in Figure graph of ƒ height horizontal improper integral increasing initial interval inverse lim h→0 linear local maximum look maximum negative oscillation P₁ P₂ period phase plane population positive Problems for Section quantity radians radius rate of change represents Riemann sum right-hand sums root shown in Figure shows sine sint Sketch a graph slope field solution curve solve Suppose Table tangent line Taylor polynomial Taylor series temperature trajectory vertical Write x-axis zero