Multivariable Calculus

Calculus III is a course on Multivariable Calculus

Multivariable Calculus involves calculus over multiple dimensions

Math Prerequisites: Precalculus, Algebra, Geometry, Trigonometry, Calculus I, Calculus II

The main book used in colleges today is Stewart Calculus and is covered in chapters 10,12-13,15-16


[expand title=”10. -Parametric Equations and Polar Coordinates” rel=”submenu-highlander”]

[expandsub2 title=”10.1-Curves Defined by Parametric Equations” rel=”submenu-highlander1″]

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[expandsub4 title=”Parametric Curves – Basic Graphing” rel=”submenu-highlander2″]

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[expandsub2 title=”10.2-Calculus with Parametric Curves” rel=”submenu-highlander1″]

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[expandsub4 title=”Derivatives of Parametric Functions” rel=”submenu-highlander2″]

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[expandsub4 title=”Parametric Curves – Finding Second Derivatives” rel=”submenu-highlander2″]

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[expandsub4 title=”Arc Length Using Parametric Curves” rel=”submenu-highlander2″]

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[expandsub4 title=”Arc Length Using Parametric Curves – Example 2″ rel=”submenu-highlander2″]

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[expandsub2 title=”10.3 -Polar Coordinates” rel=”submenu-highlander1″]

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[expandsub4 title=”Polar Coordinates – The Basics” rel=”submenu-highlander2″]

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[expandsub4 title=”Polar Coordinates – Basic Graphing” rel=”submenu-highlander2″]

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[expandsub4 title=”Graphing a Polar Curve – Part 1″ rel=”submenu-highlander2″]

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[expandsub4 title=”Graphing a Polar Curve – Part 2″ rel=”submenu-highlander2″]

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[expandsub2 title=”10.4-Areas and Lengths in Polar Coordinate” rel=”submenu-highlander1″]

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[expandsub4 title=”Finding Areas in Polar Coordinates” rel=”submenu-highlander2″]

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[expandsub2 title=”10.5-Conic Sections” rel=”submenu-highlander1″]

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[expandsub4 title=”Conic Sections: Graphing Ellipses Part 1″ rel=”submenu-highlander2″]

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[expandsub4 title=”Conic Sections: Graphing Ellipses Part 2″ rel=”submenu-highlander2″]

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[expandsub4 title=”Identifying a Conic from an Equation by Completing the Square, Ex 1″ rel=”submenu-highlander2″]

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[expandsub4 title=”Identifying a Conic from an Equation by Completing the Square, Ex 2″ rel=”submenu-highlander2″]

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[expandsub4 title=”Identifying a Conic from an Equation by Completing the Square, Ex 3″ rel=”submenu-highlander2″]

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[expandsub2 title=”10.6-Conic Sections in Polar Coordinates” rel=”submenu-highlander1″]

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[expand title=”12. -Vectors and the Geometry of Space” rel=”submenu-highlander”]

[expandsub2 title=”12.1-Three-Dimensional Coordinate Systems” rel=”submenu-highlander1″]

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[expandsub2 title=”12.2-Vectors” rel=”submenu-highlander1″]

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[expandsub4 title=”Vector Basics – Algebraic Representations” rel=”submenu-highlander2″]

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[expandsub4 title=”Vector Basics – Algebraic Representations Part 2″ rel=”submenu-highlander2″]

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[expandsub4 title=”Vector Basics – Drawing Vectors/ Vector Addition” rel=”submenu-highlander2″]

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[expandsub4 title=”Vectors – Finding Magnitude or Length” rel=”submenu-highlander2″]

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[expandsub2 title=”12.3-The Dot Product” rel=”submenu-highlander1″]

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[expandsub4 title=”Vectors – The Dot Product” rel=”submenu-highlander2″]

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[expandsub2 title=”12.4-The Cross Product” rel=”submenu-highlander1″]

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[expandsub4 title=”The Cross Product” rel=”submenu-highlander2″]

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[expandsub4 title=”Torque – An application of the cross product” rel=”submenu-highlander2″]

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[expandsub2 title=”12.5-Equations of Lines and Planes” rel=”submenu-highlander1″]

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[expandsub4 title=”Finding the Scalar Equation of a Plane” rel=”submenu-highlander2″]

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[expandsub4 title=”Finding the Vector Equation of a Line” rel=”submenu-highlander2″]

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[expandsub2 title=”12.6-Cylinders and Quadric Surfaces” rel=”submenu-highlander1″]

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[expand title=”13.-Vector Functions” rel=”submenu-highlander”]

[expandsub2 title=”13.1-Vector Functions and Space Curves” rel=”submenu-highlander1″]

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[expandsub2 title=”13.2-Derivatives and Integrals of Vector Functions” rel=”submenu-highlander1″]

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[expandsub2 title=”13.3-Arc Length and Curvature” rel=”submenu-highlander1″]

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[expandsub4 title=”The Arc Length of a Vector Function” rel=”submenu-highlander2″]

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[expandsub2 title=”13.4-Motion in Space: Velocity and Acceleration” rel=”submenu-highlander1″]

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[expand title=”14.-Partial Derivatives” rel=”submenu-highlander” rel=”submenu-highlander1″]

[expandsub2 title=”14.1- Functions of Several Variables”]

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[expandsub4 title=”Finding the Domain of a Vector Function” rel=”submenu-highlander2″]

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[expandsub2 title=”14.2-Limits and Continuity” rel=”submenu-highlander1″]

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[expandsub4 title=”Finding the Limit of a Vector Function” rel=”submenu-highlander2″]

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[expandsub4 title=”Multivariable Calculus: Showing a Limit Does NOT Exist” rel=”submenu-highlander2″]

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[expandsub4 title=”Finding the Limit of a Vector Function – Another Ex 1″ rel=”submenu-highlander2″]

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[expandsub4 title=”Finding the Limit of a Vector Function – Another Ex 2″ rel=”submenu-highlander2″]

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[expandsub2 title=”14.3-Partial Derivatives” rel=”submenu-highlander1″]

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[expandsub4 title=”Finding Partial Derviatives” rel=”submenu-highlander2″]

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[expandsub4 title=”Calculus: Higher Order Partial Derivatives” rel=”submenu-highlander2″]

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[expandsub2 title=”14.4-Tangent Planes and Linear Approximations” rel=”submenu-highlander1″]

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[expandsub4 title=”Tangent Plane Approximations” rel=”submenu-highlander2″]

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[expandsub2 title=”14.5-The Chain Rule” rel=”submenu-highlander1″]

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[expandsub4 title=”General Chain Rule , Partial Derivatives – Part 1″ rel=”submenu-highlander2″]

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[expandsub4 title=”General Chain Rule – Part 2″ rel=”submenu-highlander2″]

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[expandsub2 title=”14.6-Directional Derivatives and the Gradient Vector” rel=”submenu-highlander1″]

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[expandsub4 title=”Finding the Directional Derivative” rel=”submenu-highlander2″]

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[expandsub4 title=”The Gradient Vector – Notation and Definition” rel=”submenu-highlander2″]

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[expandsub2 title=”14.7-Maximum and Minimum Values” rel=”submenu-highlander1″]

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[expandsub4 title=”Local Maximum and Minimum Values/ Function of Two Variables” rel=”submenu-highlander2″]

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[expandsub4 title=”Local Maximum and Minimum Values -Function of Two Variables” rel=”submenu-highlander2″]

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[expandsub2 title=”14.8-Lagrange Multipliers” rel=”submenu-highlander1″]

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[expand title=”15.-Multiple Integrals” rel=”submenu-highlander”]

[expandsub2 title=”15.1-Double Integrals over Rectangles” rel=”submenu-highlander1″]

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[expandsub2 title=”15.2-Double Integrals over General Regions” rel=”submenu-highlander1″]

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[expandsub2 title=”15.3-Double Integrals in Polar Coordinates” rel=”submenu-highlander1″]

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[expandsub2 title=”15.4-Applications of Double Integrals” rel=”submenu-highlander1″]

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[expandsub2 title=”15.5-Surface Area” rel=”submenu-highlander1″]

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[expandsub2 title=”15.6-Triple Integrals” rel=”submenu-highlander1″]

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[expandsub2 title=”15.7-Triple Integrals in Cylindrical Coordinates” rel=”submenu-highlander1″]

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[expandsub2 title=”15.8-Triple Integrals in Spherical Coordinates” rel=”submenu-highlander1″]

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[expandsub2 title=”15.9-Change of Variables in Multiple Integrals” rel=”submenu-highlander1″]

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