Includes bibliographical references and index.

Preface v -- Limits and Continuity 1 -- Introduction to the Limit 2 -- Limits of Algebraic Functions 16 -- Limits of Algebraic Functions Involving Infinity 29 -- Limits of Exponential and Trigonometric Functions 46 -- Continuity 66 -- Continuity on an Interval 80 -- Derivatives 95 -- Tangent Lines, Rates of Change and the Derivative 96 -- Some Basic Differentiation Rules 106 -- The Chain Rule 121 -- Implicit Differentiation 129 -- Derivatives of Higher Order and Differentiability 143 -- Rates of Change and Related Rates 154 -- Optimization Problems 161 -- Integration 177 -- Antiderivatives 178 -- The Substitution Rule and Tables of Integrals 188 -- Separable Differential Equations 200 -- Areas, Riemann Sums and the Define Integral 215 -- The Fundamental Theorem of Calculus 231 -- Areas of Plane Regions 244 -- References 253 -- Index 255

"Basic Calculus introduces the students to the study of calculus. It contains the basic concepts and mechanical skills in basic calculus, namely, understanding and calculating limits, derivatives, and integral of basic functions, and using basic techniques and formulae. The lesson in this book shall be sufficient to prepare the students in the STEM track to take calculus in college."--