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Single and Multivariable Calculus
This note explains the following topics: Analytic Geometry, Instantaneous Rate of Change: The Derivative, Rules for Finding Derivatives, Transcendental Functions, Curve Sketching, Applications of the Derivative, Integration, Techniques of Integration, Applications of Integration, Polar Coordinates, Parametric Equations, Sequences and Series, Vector Functions, Partial Differentiation, Multiple Integration, Vector Calculus, Differential Equations.
Author(s): David Farmer, Albert Schueller, and David Guichard
NA Pages 
Single and Multivariable Calculus
This note explains the following topics: Analytic Geometry, Instantaneous Rate of Change: The Derivative, Rules for Finding Derivatives, Transcendental Functions, Curve Sketching, Applications of the Derivative, Integration, Techniques of Integration, Applications of Integration, Polar Coordinates, Parametric Equations, Sequences and Series, Vector Functions, Partial Differentiation, Multiple Integration, Vector Calculus, Differential Equations.
Author(s): David Farmer, Albert Schueller, and David Guichard
NA Pages
This note covers the following topics: Vectors and the geometry of space, Directional derivatives, gradients, tangent planes, introduction to integration, Integration over non-rectangular regions, Integration in polar coordinates, applications of multiple integrals, surface area, Triple integration, Spherical coordinates, The Fundamental Theorem of Calculus for line integrals, Green's Theorem, Divergence and curl, Surface integrals of scalar functions, Tangent planes, introduction to flux, Surface integrals of vector fields, The Divergence Theorem.
Author(s): Dartmouth College
NA Pages