Includes appendix and index

Contents : Functions and model -- Limits -- Derivatives -- Applications of differentiation -- Integrals -- Applications of integration -- Inverse functions:exponential,logarithmic,and inverse trigonometric function -- Techniques of integration -- Further application of integration -- Differential equation -- Parametric equation and polar coordinates -- Infinite sequence and series -- Vectors and the geometry of space -- Vector functions -- Partial derivatives -- Multiple integrals -- Vector calculus -- Second-order differential equations -- Appendix :A numbers,inequalities,and absolute value -- B coordinate geometry and lines -- C Graphs of seconds-degree equations -- D Trigonometry -- E sigma notation -- F proof of theorems -- G complex numbers -- H answers o odd-number exercise