Calculus : with analytic geometry early transcendentals / C. Henry Edwards, David E. Penney

CONTENTS

FUNCTIONS AND GRAPHS
functions and mathematical modelling
graphs of equations and functions
e.tc

PRELUDE TO CALCULUS
Tangent lines and slope predictors
the limit concept
e.tc

THE DERIVATIVE
the derivative and rates of change
basic differentiation rules
e.tc

ADDITIONAL APPLICATIONS OF THE DERIVATIVE
introduction
increments, differentials and linear approximation
e.tc

THE INTEGRAL
introduction
antiderivatives and initial value problems
e.tc

APPLICATIONS OF THE INTEGRAL
setting up integral formulas
volumes by the method of cross sections
e.tc

EXPONENTIAL AND LOGARITHMIC FUNCTIONS
exponentials, logarithms, and inverse functions
The natural logarithm
e.tc

FURTHER CALCULUS OF TRANSCENDENTAL FUNCTIONS
introduction
inverse trigonometric functions
e.tc

TECHNIQUES OF INTEGRATION
introduction
integral tables and simple substitutions
e.tc

POLAR COORDINATES AND PLANE CURVES
analytic geometry and the conic sections
polar coordinates
e.tc

INFINITE SERIALS
introduction
infinite sequences
e.tc

VECTORS, CURVES AND SURFACES IN SPACE
vectors in the plane
rectangular coordinates and three-dimensional vectors
e.tc

PARTIAL DIFFERENTIATION
introduction
functions of several variables
e.tc

MULTIPLE INTEGRALS
double integrals
double integrals over more general regions
e.tc

VECTOR CALCULUS
vector fields
line integrals
e.tc

Includes index