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Larson R., Edwards B. Calculus. CalcChat and CalcView Metric Version 12ed 2023

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Larson R., Edwards B. Calculus. CalcChat and CalcView Metric Version 12ed 2023

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Total size: 1.18 GB
Added: 2025-03-10 23:38:55

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Info Hash: 2C340CD3F870115ACD00320CE7294D84B2FC4C4E
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Textbook in PDF format The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. For use in or out of the classroom, the companion website LarsonCalculus.com offers free access to multiple tools and resources to supplement students’ learning. Stepped-out solution videos with instruction are available Preface Students Resources Instructor Resources Acknowledgments Preparation for Calculus Graphs and Models Linear Models and Rates of Change Functions and Their Graphs Review of Trigonometric Functions Review Exercises PS Problem Solving Limits and Their Properties A Preview of Calculus Finding Limits Graphically and Numerically Evaluating Limits Analytically Continuity and One-Sided Limits Infinite Limits Review Exercises PS Problem Solving Differentiation The Derivative and the Tangent Line Problem Basic Differentiation Rules and Rates of Change Product and Quotient Rules and Higher-Order Derivatives The Chain Rule Implicit Differentiation Related Rates Review Exercises PS Problem Solving Applications of Differentiation Extrema on an Interval Rolle's Theorem and the Mean Value Theorem Increasing and Decreasing Functions and the First Derivative Test Concavity and the Second Derivative Test Limits at Infinity A Summary of Curve Sketching Optimization Problems Newton's Method Differentials Review Exercises PS Problem Solving Integration Antiderivatives and Indefinite Integration Area Riemann Sums and Definite Integrals The Fundamental Theorem of Calculus Integration by Substitution Review Exercises PS Problem Solving Logarithmic, Exponential, and Other Transcendental Functions The Natural Logarithmic Function Differentiation The Natural Logarithmic Function Integration Inverse Functions Exponential Functions Differentiation and Integration Bases Other than e and Applications Indeterminate Forms and L'Hopital's Rule Inverse Trigonometric Functions Differentiation Inverse Trigonometric Functions Integration Hyperbolic Functions Review Exercises PS Problem Solving Differential Equations Slope Fields and Euler's Method Growth and Decay Separation of Variables and the Logistic Equation First-Order Linear Differential Equations Review Exercises PS Problem Solving Applications of Integration Area of a Region Between Two Curves Volume The Disk Method Volume The Shell Method Arc Length and Surfaces of Revolution Work Moments, Centers of Mass, and Centroids Fluid Pressure and Fluid Force Review Exercises PS Problem Solving Integration Techniques and Improper Integrals Basic Integration Rules Integration by Parts Trigonometric Integrals Trigonometric Substitution Partial Fractions Numerical Integration Integration by Tables and Other Integration Techniques Improper Integrals Review Exercises PS Problem Solving Infinite Series Sequences Series and Convergence The Integral Test and p-Series Comparisons of Series Alternating Series The Ratio and Root Tests Taylor Polynomials and Approximations Power Series Representation of Functions by Power Series Taylor and Maclaurin Series Review Exercises PS Problem Solving Conics, Parametric Equations, and Polar Coordinates Conics and Calculus Plane Curves and Parametric Equations Parametric Equations and Calculus Polar Coordinates and Polar Graphs Area and Arc Length in Polar Coordinates Polar Equations of Conics and Kepler's Laws Review Exercises PS Problem Solving Vectors and the Geometry of Space Vectors in the Plane Space Coordinates and Vectors in Space The Dot Product of Two Vectors The Cross Product of Two Vectors in Space Lines and Planes in Space Surfaces in Space Cylindrical and Spherical Coordinates Review Exercises PS Problem Solving Vector-Valued Functions Vector-Valued Functions Differentiation and Integration of Vector-Valued Functions Velocity and Acceleration Tangent Vectors and Normal Vectors Arc Length and Curvature Review Exercises PS Problem Solving Functions of Several Variables Introduction to Functions of Several Variables Limits and Continuity Partial Derivatives Differentials Chain Rules for Functions of Several Variables Directional Derivatives and Gradients Tangent Planes and Normal Lines Extrema of Functions of Two Variables Applications of Extrema Lagrange Multipliers Review Exercises PS Problem Solving Multiple Integration Iterated Integrals and Area in the Plane Double Integrals and Volume Change of Variables Polar Coordinates Center of Mass and Moments of Inertia Surface Area Triple Integrals and Applications Triple Integrals in Other Coordinates Change of Variables Jacobians Review Exercises PS Problem Solving Vector Analysis Vector Fields Line Integrals Conservative Vector Fields and Independence of Path Green's Theorem Parametric Surfaces Surface Integrals Divergence Theorem Stokes's Theorem Review Exercises PS Problem Solving Appendices Appendix A Proofs of Selected Theorems Appendix B Integration Tables Answers to All Odd-Numbered Exercises Index