Integral Calc: Calculus 3

The Series Includes : Acute angle between the lines | Acute angles between the curves | Angle between a vector and the x-axis | Angle between two vectors | Approximating Double Integrals with Rectangles | Arc length of a vector function | Area of a surface | Average value of a double integral | Average value | Center, radius, and equation of the sphere | Chain rule for multivariable functions | Chain rule for multivariable functions and tree diagrams | Changing double integrals to polar coordinates | Changing iterated integrals to polar coordinates | Changing the order of integration | Changing triple integrals to cylindrical coordinates | Changing triple integrals to spherical coordinates | Combinations of vectors | Compositions of multivariable functions | Copying vectors and using them to draw combinations | Critical points | Cross product of two vectors | Curl and divergence of a vector field | Curvature | Cylindrical coordinates | Derivative of a vector function | Describing a region in three dimensional space | Differential of a multivariable function | Direction cosines and direction angles | Directional derivatives in the direction of the angle | Directional derivatives in the direction of the vector | Discontinuities of multivariable functions | Distance between a point and a line | Distance between a point and a plane | Distance between parallel planes | Distance between points in three dimensions | Divergence theorem | Domain of a multivariable function | Domain of a multivariable function, example 2 | Domain of a vector function | Dot product of two vectors | Double integrals | Double integrals to find mass and center of mass | Equation of a plane | Equation of the tangent plane | Expressing the integral six ways | Extreme value theorem | Finding area | Finding surface area | Finding volume with a double integral | Finding volume with a double polar integral | Finding volume | Finding volume with triple integrals | Global extrema | Gradient vectors | Gradient vectors and the tangent plane | Green's theorem for one region | Green's theorem for two regions | Higher order partial derivatives | Implicit differentiation for multivariable functions | Independence of path | Integral of a vector function | Intersection of a line and a plane | Iterated integrals | Iterated integrals | Iterated integrals, example 2 | Jacobian for three variables | Jacobian for two variables | Limit of a multivariable function | Limit of a vector function | Line integral of a curve | Line integral of a vector function | Linear approximation in two variables | Linearization of a multivariable function | Local extrema and saddle points | Magnitude and angle of the resultant force | Maximum curvature | Maximum product of three real numbers | Maximum rate of change and its direction | Maximum volume of a rectangular box inscribed in a sphere | Midpoint rule for double integrals | Midpoint rule for triple integrals | Minimum distance from the point to the plane | Moments of inertia | Normal and osculating planes | Normal line to the surface | Open, connected, and simply-connected | Orthogonal, parallel, or neither | Parallel, intersecting, skew and perpendicular lines | Parallel, perpendicular and angle between planes | Parametric and symmetric equations of a line | Parametric equations for the line of intersection of two planes | Parametric equations of the tangent line | Parametric representation of the surface | Partial derivatives in three or more variables | Partial derivatives in two variables | Plotting points in three dimensions | Point on a cone closest to another point | Points on the surface | Potential function of a conservative vector field | Potential function of a conservative vector field to evaluate a line integral | Potential function of the conservative vector field, three dimensions | Precise definition of the limit for multivariable functions | Projections of the curve | Reducing equations to standard form | Reparametrizing the curve | Riemann sums for double integrals | Scalar and vector projections | Scalar equation of a line | Scalar equation of a plane | Scalar triple product to prove vectors are coplanar | Second derivative test | Sketching area | Sketching level curves of multivariable functions | Sketching the surface | Sketching the vector equation | Spherical coordinates | Stokes' theorem | Sum of two vectors | Surface integrals | Surface integrals, example 2 | Surface of the vector equation | Symmetric equations for the line of intersection of two planes | Symmetric equations of a line | Tangent plane to the parametric surface | Tangential and normal components of the acceleration vector | Three dimensions, one constraint | Three dimensions, two constraints | Triple integrals | Triple integrals to find mass and center of mass | Two dimensions, one constraint | Two dimensions, one constraint, example 2 | Type I and II regions | Unit tangent and unit normal vectors | Unit tangent vector | Unit vector in the direction of the given vector | Using inequalities to describe the region | Vector and parametric equations of a line | Vector and parametric equations of a line segment | Vector from two points | Vector function for the curve of intersection of two surfaces | Vector orthogonal to the plane | Velocity and acceleration vectors | Velocity and position given acceleration and initial conditions | Velocity, acceleration and speed given position | Volume of the parallelepiped from adjacent edges | Volume of the parallelepiped from vectors | Work done by a force field

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Description

This series includes everything from Calculus 3, including partial derivatives, multiple integrals, and vectors.

Length: 1476 minutes

Item#: BVL275646

Copyright date: ©2017