Includes bibliographical references.

Functions, limits, and continuity -- Definition and notation of function -- Types of function and their graphs --Operations on functions -- Limit of a function and limit theorems -- Right-hand and left-hand limit -- Infinite limits and limits at infinity -- Continuity of a function -- Continuity of the trigonometric functions -- Derivatives -- Definition of derivative -- Differentiation rules -- Derivatives of trigonometric functions -- Derivatives of exponential and logarithmic functions -- Higher order derivatives -- Behavior of functions -- Applications involving global maximum and minimum values -- Implicit differentiation -- Problems involving related rates -- Integrals -- Definition of indefinite integral -- Rules for integration -- Some techniques of integration -- Definite integral and second fundamental theorem of calculus -- Applications of definite and indefinite integrals -- Rules for differentiation -- Rules for integration

English