CALCULUS-VOLUME I.II

chapter 7 analytic geometry in space and vector algebra
¡¡7.1 vector and their linear operations
¡¡7.2 rectangular coordinate systems in space and components of vectors
¡¡7.3 the scalar product vector product mixed product
¡¡7.4 planes and their equations
¡¡7.5 straight lines in space and their equations
¡¡7.6 surfaces and their equations
¡¡7.7 space curves and their equations
¡¡7.8 quadric surfaces
chapter 8 the multivariable differential calculus and its applications
¡¡8.1 basic concepts of muhivariable functions
¡¡8.2 limit and continuity for function of several variables
¡¡8.3 partial derivatives and higher-order partial derivatives
¡¡8.4 total differentials
¡¡8.5 directional derivatives and the gradient
¡¡8.6 differentiation of muhivariable composite functions
¡¡8.7 differentiation of impliet functions
¡¡8.8 applications of differential calculus of muhivariable functions in geometry
¡¡8.9 extreme value problems for muhivariable functions
chapter 9 multiple integrals
¡¡9.1 double integral
¡¡9.2 evaluation of a double integral by iterated integration
¡¡9.3 change of variables in a double integral
¡¡9.4 improper double integrals
¡¡9.5 applications of double integrals
¡¡9.6 extensions to higher dimensions
¡¡9.7 change of variables in a triple integral
chapter 10 line integrals and surface integrals
¡¡10.1 line integrals with respect to arc lengths
¡¡10.2 line integrals with respect to coordinates
¡¡10.3 green's theorem, path independence
¡¡10.4 surface integrals with respect to surface areas
¡¡10.5 surface integrals with respect to coordinates
¡¡10.6 the divergence theorem
¡¡10.7 stokes theorem
chapter 11 differential equations
¡¡11.1 differential equations and their solutions
¡¡11.2 separable equations
¡¡11.3 linear first-order equations
¡¡11.4 homogeneous equations
¡¡11.5 exact equations
¡¡11.6 reducible second-order equations
¡¡11.7 second-0rder linear equations
answers