TY - BOOK AU - Larson,Roland E. AU - Hostetler,Robert P. AU - Edwards,Bruce H. TI - Calculus with analytic geometry / SN - 0669353353 U1 - 515.15 21 PY - 1994/// CY - Lexington, Mass. : PB - D.C. Heath and Company, KW - CALCULO KW - FUNCIONES KW - TEORIA DE LIMITES KW - DIFERENCIACION KW - FUNCIONES EXPONENCIALES KW - FUNCIONES LOGARITMICAS KW - INTEGRALES KW - VARIABLES KW - ANALISIS VECTORIAL KW - ECUACIONES DIFERENCIALES KW - ESTUDIOS DE CASOS KW - LIMITE KW - CRECIMIENTO EXPONENCIAL KW - POTENCIA KW - VECTORES KW - APLICACIONES KW - CASOS PRACTICOS N1 - Prerequisites the Cartesian plane and functions -- 1. Limits and their properties -- 2. Differentiation -- 3. Applications of differentiation -- 4. Integration -- 5. Logarithmic, exponential and other trascendental functions -- 6. Applications of integration -- 7. Integration techniques, L'Hopital's rules, and improper integrals -- 8. Infinite series -- 9. Conic sections -- 10. Plane curves, parametric equations and polar coordinates -- 11. Vectors and the geometry of space -- 12. Vector-valued functions -- 13. Functions of several variables -- 14. Multiple integration -- 15. Vector analysis -- 16. Defferential equations -- Appendix A: proofs of selected theorems -- B: basic differentiation rules for elementary functions -- C. Integration tables ER -