The Calculus Tutoring Book [Paperback]

This book fills an educational void by adapting unique classroom-tested techniques that students find most congenial...that strip the shroud of mystery from an esoteric subject...that prepare students for applications of calculus in later courses.Preface.

FUNCTIONS.

Introduction.

The Graph of a Function.

The Trigonometric Functions.

Inverse Functions and the Inverse Trigonometric Functions.

Exponential and Logarithm Functions.

Solving Inequalities Involving Elementary Functions.

Graphs of Translations, Reflections, Expansions and Sums.

Review of Problems for Chapter 1.

LIMITS.

Introduction.

Finding Limits of Combinations of Functions.

Indeterminate Limits.

Review Problems for Chapter 2.

THE DERIVATIVE PART I.

Preview.

Definition and Some Applications of the Derivative.

Derivatives of the Basic Functions.

Nondifferentiable Functions.

Derivatives of Constant Multiples, Sums, Products and Quotients.

The Derivative of a Composition.

Implicit Differentiation and Logarithmic Differentiation.

Antidifferentiation.

Review Problems for Chapter 3.

THE DERIVATIVE PART II.

Relative Maxima and Minima.

Absolute Maxima and Minima.

L'Hôpital's Rule and Orders of Magnitude.

Indeterminate Products, Differences and Exponential Forms.

Drawinlã…