Preface
To the Student
A Preview of Calculus
1 Functions and Models
2 Limits and Derivatives
3 Differentiation Rules
4 Applications of Differentiation
5 Integrals
6 Applications of Integration
7 Techniques of Integration
8 Further Applications of Integration
9 Differential Equations
10 Parametric Equatinons and Polar Coordinates
11 Infinite Sequences and Series
12 Vectors and the Geometry of Space
13 Vector Function
14 Partial Derivatives
15 Multiple Integrals
16 Vectors Calculus
17 Second-Order Differential Equation
Appendixes
A Numbers，Inequalities，and Absolute Values
B Coordinate Geometry and Lines
C Graphs of Second-Degree Equations
D Trigonometry
E Sigma Notation
F Proofs of Theorems
G Complex Numbers
H Answers to Odd-Numbered Exercises
Index