Chapter 0 Preliminary 1
Chapter 1 Limits and Continuity 11
Chapter 2 Derivatives 19
Chapter 3 Applications of Derivatives 30
Chapter 4 Integration 41
Chapter 5 Applications of Integrals 50
Chapter 6 Transcendental Functions and First-Order Differential Equations 59
Chapter 7 Techniques of Integration 66
Chapter 8 Infinite Series 77
Chapter 9 Second-Order ODEs 90
Chapter 10 Vector Algebra and Geometry in Space and Polar Coordinate 96
Chapter 11 Multivariable Functions＆Their Derivatives 105
Chapter 12 Multiple Integrals 114
Chapter 13 Integration in Vector Fields 122
Appendix Ⅰ Sample Examinations 130
Appendix Ⅱ Calculus with MATLAB 162
References 184