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    Active Calculus Multivariable by Schlicker, Steve, Austin, David, Boelkins, Matthew

    Published 2018
    Table of Contents: “…Preface9 Multivariable and Vector Functions -- 9.1 Functions of Several Variables and Three Dimensional Space -- 9.2 Vectors -- 9.3 The Dot Product -- 9.4 The Cross Product -- 9.5 Lines and Planes in Space -- 9.6 Vector-Valued Functions -- 9.7 Derivatives and Integrals of Vector-Valued Functions9.8 Arc Length and Curvature -- 10 Derivatives of Multivariable Functions -- 10.1 Limits -- 10.2 First-Order Partial Derivatives -- 10.3 Second-Order Partial Derivatives -- 10.4 Linearization: Tangent Planes and Differentials -- 10.5 The Chain Rule -- 10.6 Directional Derivatives and the Gradient -- 10.7 Optimization -- 10.8 Constrained Optimization:Lagrange Multipliers -- 11 Multiple Integrals -- 11.1 Double Riemann Sums and Double Integrals over Rectangles -- 11.2 Iterated Integrals -- 11.3 Double Integrals over General Regions -- 11.4 Applications of Double Integrals -- 11.5 Double Integrals in Polar Coordinates -- 11.6 Surfaces Defined Parametrically and Surface Area -- 11.7 Triple Integrals -- 11.8 Triple Integrals in Cylindrical and Spherical Coordinates -- 11.9 Change of Variables…”
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