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James Stewart M c Master University and University of TorontoĬopyright 2016 Cengage Learning. Calculators, Computers, and Other Graphing Devicesġ.2: Mathematical Models: a Catalog of Essential FunctionsĢ.3: Calculating Limits Using the Limit LawsĢ.6: Limits at Infinity Horizontal Asymptotesģ.1: Derivatives of Polynomials and Exponential Functionsģ.3: Derivatives of Trigonometric Functionsģ.6: Derivatives of Logarithmic Functionsģ.7: Rates of Change in the Natural and Social Sciencesģ.10: Linear Approximations and DifferentialsĤ.3: How Derivatives Affect the Shape of a GraphĤ.4: Indeterminate Forms and L’Hospital’s RuleĤ.6: Graphing with Calculus and Calculatorsĥ.4: Indefinite Integrals and the Net Change Theoremħ.4: Integration of Rational Functions by Partial Fractionsħ.6: Integration Using Tables and Computer Algebra SystemsĬh 8: Further Applications of IntegrationĨ.3: Applications to Physics and EngineeringĨ.4: Applications to Economics and Biologyĩ.1: Modeling with Differential EquationsĬh 10: Parametric Equations and Polar Coordinatesġ0.1: Curves Defined by Parametric Equationsġ0.4: Areas and Lengths in Polar Coordinatesġ0.6: Conic Sections in Polar Coordinatesġ1.3: The Integral Test and Estimates of Sumsġ1.6: Absolute Convergence and the Ratio and Root Testsġ1.9: Representations of Functions as Power Seriesġ1.11: Applications of Taylor Polynomialsġ2.1: Three-Dimensional Coordinate Systemsġ3.2: Derivatives and Integrals of Vector Functionsġ3.4: Motion in Space: Velocity and Accelerationġ4.4: Tangent Planes and Linear Approximationsġ4.6: Directional Derivatives and the Gradient Vectorġ5.2: Double Integrals over General Regionsġ5.3: Double Integrals in Polar Coordinatesġ5.7: Triple Integrals in Cylindrical Coordinatesġ5.8: Triple Integrals in Spherical Coordinatesġ5.9: Change of Variables in Multiple Integralsġ6.3: The Fundamental Theorem for Line Integralsġ6.6: Parametric Surfaces and Their AreasĬh 17: Second-Order Differential Equationsġ7.3: Applications of Second-order Differential EquationsĪ: Numbers, Inequalities, and Absolute Values
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