Calculus
Third Edition

by
Monty J. Strauss, Texas Tech University
Gerald J. Bradley, Claremont-McKenna College
Karl J. Smith, Santa Rosa Junior College

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Select a chapter: Section 1.1: Functions and Graphs (Preliminaries) Section 1.2: Lines in the Plane Section 1.3: Functions and Graphs Section 1.4: Inverse Functions; Inverse Trigonometric Functions Section 2.1: The Limit of a Function Section 2.2: Algebraic Computation of Limits Section 2.3: Continuity Section 2.4: Exponential and Logarithmic Functions Section 3.1: An Introduction to the Derivative: Tangents Section 3.2: Techniques of Differentiation Section 3.3: Derivatives of Trigonometric, Exponential, and Logarithmic Functions Section 3.4: Rates of Change: Modeling Rectilinear Motion Section 3.5: The Chain Rule Section 3.6: Implicit Differentiation Section 3.7: Related Rates and Applications Section 3.8: Linear Approximation and Differentials Section 4.1: Extreme Values of a Continuous Function Section 4.2: The Mean Value Theorem Section 4.3: Using Derivatives to Sketch the Graph of a Function Section 4.4: Curve Sketching with Asymptotes; Limits Involving Infinity Section 4.5: L'Hôpital's Rule Section 4.6: Optimization in the Physical Sciences and Engineering Section 4.7: Optimization in Business, Economics, and the Life Sciences Section 5.1: Antidifferentiation Section 5.2: Area as the Limit of a Sum Section 5.3: Riemann Sums and the Definite Integral Section 5.4: The Fundamental Theorems of Calculus Section 5.5: Integration by Substitution Section 5.6: Introduction to Differential Equations Section 5.7: The Mean Value Theorem for Integrals; Average Value Section 5.8: Numerical Integration: The Trapezoidal Rule and Simpson's Rule Section 5.9: An Alternative Approach: The Logarithm as an Integral Section 6.1: Area Between Two Curves Section 6.2: Volume Section 6.3: Polar Forms and Area Section 6.4: Arc Length and Surface Area Section 6.5: Physical Applications: Work, Liquid Force, and Contents Section 6.6: Applications to Business, Economics, and the Life Sciences Section 7.1: Review of Substitution and Integration by Table Section 7.2: Integration by Parts Section 7.3: Trigonometric Methods Section 7.4: Method of Partial Fractions Section 7.5: Summary of Integration Techniques Section 7.6: First-Order Differential Equations Section 7.7: Improper Integrals Section 7.8: Hyperbolic and Inverse Hyperbolic Functions Section 8.1: Sequences and Their Limits Section 8.2: Introduction to Infinite Series: Geometric Series Section 8.3: The Integral Test: p-Series Section 8.4: Comparison Tests Section 8.5: The Ratio Test and the Root Test Section 8.6: Alternating Series; Absolute and Conditional Convergence Section 8.7: Power Series Section 8.8: Taylor and Maclaurin Series Section 9.1: Vectors in R2 Section 9.2: Coordinates and Vectors in R3 Section 9.3: The Dot Product Section 9.4: The Cross Product Section 9.5: Parametric Representation of Curves; Lines in R3 Section 9.6: Planes in R3 Section 9.7: Quadric Surfaces Section 10.1: Introduction to Vector Functions Section 10.2: Differentiation and Integration of Vector Functions Section 10.3: Modeling Ballistics and Planetary Motion Section 10.4: Unit Tangent and Normal Vectors; Curvature Section 10.5: Tangential and Normal Components of Acceleration Section 11.1 : Functions of Several Variables Section 11.2 : Limits and Continuity Section 11.3 : Partial Derivtives Section 11.4 : Tangent Planes, Approximations, and Differentiability Section 11.5 : Chain Rules Section 11.6 : Directional Derivatives and the Gradient Section 11.7 : Extrema of Functions of Two Variables Section 11.8 : Lagrange Multipliers Section 12.1 : Double Integration over Rectangular Regions Section 12.2 : Double Integration over Nonrectangular Regions Section 12.3 : Double Integrals in Polar Coordinates Section 12.4 : Surface Area Section 12.5 : Triple Integrals Section 12.6 : Mass, Moments, and Probability Density Functions Section 12.7 : Cylindrical and Spherical Coordinates Section 12.8 : Jacobians: Change of Variables Section 13.1 : Properties of a Vector Field: Divergence and Curl Section 13.2 : Line Integrals Section 13.3 : The Fundamental Theorem and Path Independence Section 13.4 : Green's Theorem Section 13.5 : Surface Integrals Section 13.6 : Stokes' Theorem Section 13.7 : The Divergence Theorem Section 14.1 : First-Order Differential Equations Section 14.2 : Second-Order Homogeneous Linear Differential Equations Section 14.3 : Second-Order Nonhomogenous Linear Differential Equations