Calculus – Ron Larson – 11th Edition

Descripción

Con una larga historia de en el mercado, de Larson & Edwards, ha sido ampliamente elogiado por una generación de estudiantes y profesores por una sólida y eficaz que responde a las necesidades de una amplia gama de estilos y entornos de enseñanza y aprendizaje.

Este libro de texto incluye características y recursos que continúan haciendo de CALCULUS de Larson & Edwards, una valiosa herramienta de aprendizaje para los estudiantes y una herramienta de enseñanza confiable para los instructores. Proporciona la instrucción clara, las matemáticas precisas y la cobertura completa que espera para su curso. Además, esta nueva edición le brinda acceso gratuito a tres sitios web complementarios.

Cada título de la serie es un componente de un programa integral de cursos de cálculo que integra y coordina cuidadosamente los productos de impresión, medios y para una enseñanza y un aprendizaje exitosos.

Los ejercicios de verificación de conceptos y los ejercicios de exploración de conceptos aparecen en cada sección. Estos ejercicios te ayudarán a desarrollar un conocimiento más profundo y claro del cálculo. Realice estos ejercicios para construir y fortalecer su comprensión de los conceptos de cálculo y prepararse para el resto de los ejercicios de la sección.

Los conjuntos de ejercicios se han examinado cuidadosa y exhaustivamente para garantizar que sean rigurosos y relevantes, y que incluyan temas sugeridos por nuestros usuarios. Los ejercicios están organizados y titulados para que pueda ver mejor las conexiones entre ejemplos y ejercicios. Los ejercicios de la vida real de varios pasos refuerzan las habilidades de resolución de problemas y el dominio de los conceptos al brindarle la oportunidad de aplicar los conceptos en situaciones de la vida real.

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  • Chapter 1: Limits and Their Properties
    1.1: A Preview of Calculus (23)
    1.2: Finding Limits Graphically and Numerically (74)
    1.3: Evaluating Limits Analytically (71)
    1.4: Continuity and One-Sided Limits (65)
    1.5: Infinite Limits (60)
    1: Review Exercises (50)
    1: Problem Solving

    Chapter 2: Differentiation
    2.1: The Derivative and the Tangent Line Problem (67)
    2.2: Basic Differentiation Rules and Rates of Change (76)
    2.3: Product and Quotient Rules and Higher-Order Derivatives (78)
    2.4: The Chain Rule (73)
    2.5: Implicit Differentiation (58)
    2.6: Related Rates (56)
    2: Review Exercises (47)
    2: Problem Solving

    Chapter 3: Applications of Differentiation
    3.1: Extrema on an Interval (57)
    3.2: Rolle's Theorem and the Mean Value Theorem (67)
    3.3: Increasing and Decreasing Functions and the First Derivative Test (64)
    3.4: Concavity and the Second Derivative Test (64)
    3.5: Limits at Infinity (71)
    3.6: A Summary of Curve Sketching (64)
    3.7: Optimization Problems (65)
    3.8: Newton's Method (48)
    3.9: Differentials (51)
    3: Review Exercises (50)
    3: Problem Solving

    Chapter 4: Integration
    4.1: Antiderivatives and Indefinite Integration (81)
    4.2: Area (78)
    4.3: Riemann Sums and Definite Integrals (64)
    4.4: The Fundamental Theorem of Calculus (111)
    4.5: Integration by Substitution (83)
    4: Review Exercises (50)
    4: Problem Solving

    Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
    5.1: The Natural Logarithmic Function: Differentiation (70)
    5.2: The Natural Logarithmic Function: Integration (85)
    5.3: Inverse Functions (66)
    5.4: Exponential Functions: Differentiation and Integration (85)
    5.5: Bases Other than e and Applications (80)
    5.6: Indeterminate Forms and L'Hôpital's Rule (77)
    5.7: Inverse Trigonometric Functions: Differentiation (68)
    5.8: Inverse Trigonometric Functions: Integration (86)
    5.9: Hyperbolic Functions (90)
    5: Review Exercises (68)
    5: Problem Solving

    Chapter 6: Differential Equations
    6.1: Slope Fields and Euler's Method (70)
    6.2: Growth and Decay (75)
    6.3: Separation of Variables and the Logistic Equation (86)
    6.4: First-Order Linear Differential Equations (70)
    6: Review Exercises (47)
    6: Problem Solving

    Chapter 7: Applications of Integration
    7.1: Area of a Region Between Two Curves (83)
    7.2: Volume: The Disk Method (81)
    7.3: Volume: The Shell Method (57)
    7.4: Arc Length and Surfaces of Revolution (65)
    7.5: Work (45)
    7.6: Moments, Centers of Mass, and Centroids (59)
    7.7: Fluid Pressure and Fluid Force (27)
    7: Review Exercises (46)
    7: Problem Solving

    Chapter 8: Integration Techniques and Improper Integrals
    8.1: Basic Integration Rules (71)
    8.2: Integration by Parts (77)
    8.3: Trigonometric Integrals (62)
    8.4: Trigonometric Substitution (69)
    8.5: Partial Fractions (55)
    8.6: Numerical Integration (66)
    8.7: Integration by Tables and Other Integration Techniques (65)
    8.8: Improper Integrals (77)
    8: Review Exercises (50)
    8: Problem Solving

    Chapter 9: Infinite Series
    9.1: Sequences (51)
    9.2: Series and Convergence (49)
    9.3: The Integral Test and p-Series (41)
    9.4: Comparisons of Series (36)
    9.5: Alternating Series (55)
    9.6: The Ratio and Root Tests (47)
    9.7: Taylor Polynomials and Approximations (38)
    9.8: Power Series (40)
    9.9: Representation of Functions by Power Series (38)
    9.10: Taylor and Maclaurin Series (44)
    9: Review Exercises (64)
    9: Problem Solving

    Chapter 10: Conics, Parametric Equations, and Polar Coordinates
    10.1: Conics and Calculus (63)
    10.2: Plane Curves and Parametric Equations (44)
    10.3: Parametric Equations and Calculus (57)
    10.4: Polar Coordinates and Polar Graphs (60)
    10.5: Area and Arc Length in Polar Coordinates (55)
    10.6: Polar Equations of Conics and Kepler's Laws (42)
    10: Review Exercises (50)
    10: Problem Solving

    Chapter 11: Vectors and the Geometry of Space
    11.1: Vectors in the Plane (53)
    11.2: Space Coordinates and Vectors in Space (66)
    11.3: The Dot Product of Two Vectors (53)
    11.4: The Cross Product of Two Vectors in Space (43)
    11.5: Lines and Planes in Space (67)
    11.6: Surfaces in Space (45)
    11.7: Cylindrical and Spherical Coordinates (62)
    11: Review Exercises (49)
    11: Problem Solving

    Chapter 12: Vector-Valued Functions
    12.1: Vector-Valued Functions (50)
    12.2: Differentiation and Integration of Vector-Valued Functions (52)
    12.3: Velocity and Acceleration (49)
    12.4: Tangent Vectors and Normal Vectors (60)
    12.5: Arc Length and Curvature (55)
    12: Review Exercises (49)
    12: Problem Solving

    Chapter 13: Functions of Several Variables
    13.1: Introduction to Functions of Several Variables (47)
    13.2: Limits and Continuity (47)
    13.3: Partial Derivatives (60)
    13.4: Differentials (44)
    13.5: Chain Rules for Functions of Several Variables (42)
    13.6: Directional Derivatives and Gradients (55)
    13.7: Tangent Planes and Normal Lines (44)
    13.8: Extrema of Functions of Two Variables (53)
    13.9: Applications of Extrema (51)
    13.10: Lagrange Multipliers (42)
    13: Review Exercises (50)
    13: Problem Solving

    Chapter 14: Multiple Integration
    14.1: Iterated Integrals and Area in the Plane (61)
    14.2: Double Integrals and Volume (54)
    14.3: Change of Variables: Polar Coordinates (47)
    14.4: Center of Mass and Moments of Inertia (46)
    14.5: Surface Area (40)
    14.6: Triple Integrals and Applications (48)
    14.7: Triple Integrals in Other Coordinates (43)
    14.8: Change of Variables: Jacobians (42)
    14: Review Exercises (50)
    14: Problem Solving

    Chapter 15: Vector Analysis
    15.1: Vector Fields (49)
    15.2: Line Integrals (50)
    15.3: Conservative Vector Fields and Independence of Path (46)
    15.4: Green's Theorem (45)
    15.5: Parametric Surfaces (43)
    15.6: Surface Integrals (43)
    15.7: Divergence Theorem (34)
    15.8: Stokes's Theorem (34)
    15: Review Exercises (50)
    15: Problem Solving

    Chapter 16: Additional Topics in Differential Equations (Online)
    16.1: Exact First-Order Equations (48)
    16.2: Second-Order Homogeneous Linear Equations (48)
    16.3: Second-Order Nonhomogeneous Linear Equations (45)
    16.4: Series Solutions of Differential Equations (27)
    16: Review Exercises (50)
    16: Problem Solving

    Appendices
    Appendix A: Proofs of Selected Theorems
    Appendix B: Integration Tables
    Appendix C: Precalculus Review (Online)
    Appendix D: Rotation and the General Second-Degree Equation (Online)
    Appendix E: Complex Numbers (Online)
    Appendix F: Business and Economic Applications (Online)
    Appendix G: Fitting Models to Data (Online) (31)

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