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Contents
Functions; Limits and Continuity; The Derivative; Exponential, Logarithmic, and Inverse Functions; Analysis of Functions and Graphs and Other Applications of the Derivative; Integration; Applications of the Definite Integral in Geometry, Science, and Engineering; Principles of Integral Evaluation; Mathematical Modeling with Differential Equations; Infinite Series; Analytic Geometry in Calculus; Three-Dimensional Space; Vectors; Vector-Valued Functions; Partial Derivatives; Multiple Integrals; Topics in Vector Calculus; Appendices; Brief Version only contains Chapters 1-11 ; Multivariable Calculus only contains Chapters 12-16, plus section 1.8, Ch 9 and Ch 11 as appendices.