Calculus /
Robert T. Smith, Roland B. Minton.
- 2nd edition
- Dubuque, Iowa : McGraw-Hill, c2002.
- xxx,1271 p. : ill. ; 26 cm.
CONTENT
CHAPTER 1 LIMITS AND CONTINUITY 1.1 The Concepts of Limit 1.2 Computation of Limits 1.3 Continuity and Its Consequences, etc.
CHAPTER 2 DIFFERENTIATION: ALGEBRAIC, TRIGONOMETRIC, EXPONENTIAL AND LOGARITHMIC FUNCTIONS 2.1 Tangent Lines and Velocity 2.2 The Derivative 2.3 Computation of Derivatives: The Power Rule, etc.
CHAPTER 3 APPLICATIONS OF DIFFERENTIATION 3.1 Linear Approximations and L' Hopital's Rule 3.2 Newton's Method 3.3 Maximum and Minimum Values, etc.
CHAPTER 4 INTEGRATION 4.1 Anti - derivatives 4.2 Sums and Sigma Notation 4.3 Area
CHAPTER 5 APPLICATIONS OF THE DEFINITE INTEGRAL 5.1 Area between Curves 5.2 Volume 5.3 Volumes by Cylindrical Shells, etc.
CHAPTER 6 EXPONENTIAL, LOGARITHM-SAND OTHER TRANSCENDENTAL FUNCTIONS 6.1 The Natural Logarithm Revisited 6.2 Inverse Functions 6.3 The Exponential Function Revisited, etc.
CHAPTER 7 INTEGRATION TECHNIQUES 7.1 Review of Formulas and Techniques 7.2 Integration by Parts 7.3 Trigonometric Techniques of Integration, etc.
CHAPTER 8 INFINITE SERIES 8.1 Sequences of Real Numbers 8.2 Infinite Series 8.3 The Integral Test and Comparison Tests, etc.
CHAPTER 9 PARAMETRIC EQUATIONS AND POLAR COORDINATES 9.1 Plane Carves and Parametric Equations 9.2 Calculus and Parametric Equations 9.3 Arc Length and Surface Area in Parametric Equations, etc.
CHAPTER 10 VECTORS AND THE GEOMETRY OF SPACE 10.1 Vector in the Plane 10.2 Vectors in Space 10.3 The Dot Product, etc.
CHAPTER 11 VECTOR- VALUED FUNCTIONS 11.1 Vector-Valued Functions 11.2 The Calculus of Vector-Valued Functions 11.3 Motion in Space, etc.
CHAPTER 12 FUNCTIONS OF SEVERAL VARIBLES AND PARTIAL DIFFERENTIATION 12.1 Functions of Several Variables 12.2 Limits and Continuity 12.3 Partial Derivatives, etc.
CHAPTER MULTIPLE INTEGRALS 13.1 Double Integrals 13.2 Area, Volume and Center of Mass 13.3 Double Integrals in Polar Coordinates, etc.
CHAPTER 14 VECTOR CALCULUS 14.1 Vector Fields 14.2 Line Integrals 14.3 Independence of Path and Conservative Vector Fields, etc.