# Calculus Manual 1:Function Definitions for Students

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This award-nominated calculus manual, qeye candy for calculus studentsq includes three chapters (with calculator computations). Chapter One: functions, limits and rates of change; functions; function limits; strategy to use tangent lines to parabolas as slope predictors. Chapter Two: derivatives, derivative chain rule, derivative as rates of change, trig functions, derivatives of exponential and logarithmic functions, differentials, approximations, linear/quadratic, linear approximations, applications, derivatives: graphing/curve sketching, antiderivatives. Chapter Three: integral calculus, indefinite integrals, fundamental theorem of integral calculus, integration numerical.Strategy for Area as Limit of Z Sums 1. Review basic properties of sigma notation. 2. Evaluate Ax = b _ a n 3. In each subinterval select point xi_ = a + iAx or X, =a + (i a1)Ax. . Sketch graph of f. 4; 5. Evaluate sum 2 f (x, )Ax as a function of 11anbsp;...

 Title : Calculus Manual 1:Function Definitions for Students Author : E. E. Engstrom Publisher : E.E. Engstrom - 2003