CHAPTER 1 PRECALCULUS REVIEW 1 CHAPTER 2 LIMITS AND CONTINUITY 53 CHAPTER 3 THE DERIVATIVE; THE PROCESS OF DIFFERENTIATION 105 CHAPTER 4 THE MEAN-VALUE THEOREM; APPLICATIONS OF THE FIRST AND SECOND DERIVATIVES 154 CHAPTER 5 INTEGRATION 234 CHAPTER 6 SOME APPLICATIONS OF THE INTEGRAL 292 CHAPTER 7 THE TRANSCENDENTAL FUNCTIONS 333 CHAPTER 8 TECHNIQUES OF INTEGRATION 398 CHAPTER 9 SOME DIFFERENTIAL EQUATIONS 443 CHAPTER 10 THE CONIC SECTIONS; POLAR COORDINATES; PARAMETRIC EQUATIONS 469 CHAPTER 11 SEQUENCES; INDETERMINATE FORMS; IMPROPER INTEGRALS 528 CHAPTER 12 INFINITE SERIES 575 CHAPTER 13 VECTORS IN THREE-DIMENSIONAL SPACE 638 CHAPTER 14 VECTOR CALCULUS 692 CHAPTER 15 FUNCTIONS OF SEVERAL VARIABLES 748 CHAPTER 16 GRADIENTS; EXTREME VALUES; DIFFERENTIALS 788 CHAPTER 17 DOUBLE AND TRIPLE INTEGRALS 864 CHAPTER 18 LINE INTEGRALS AND SURFACE INTEGRALS 938 CHAPTER 19 ADDITIONAL DIFFERENTIAL EQUATIONS 1010 APPENDIX A SOME ADDITIONAL TOPICS A-1 APPENDIX B SOME ADDITIONAL PROOFS A-8 ANSWERS TO ODD-NUMBERED EXERCISES A-15 Index I-1 Table of Integrals Inside Covers.