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Episode 1
Calculus III: Three Dimensional Coordinate Systems (Level 2 of 10) | Equations
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 2 of 10) | Equations - Inhaltsangabe:

This video continues the exploration of a three dimensional Cartesian coordinate system. Basic equations of a two dimensional coordinate system are presented to illustrate the similarities to a three dimensional coordinate system. In addition, the equations of the coordinate planes are also discussed. This video concludes with an introduction to projections in three dimensional space.
Episode 2
Calculus III: Three Dimensional Coordinate Systems (Level 3 of 10) | Planes, Cylinder
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 3 of 10) | Planes, Cylinder - Inhaltsangabe:

This video continues the exploration of a three dimensional Cartesian coordinate system. Basic equations of a two dimensional coordinate system are presented to illustrate the similarities to a three dimensional coordinate system. In addition, the equations of the coordinate planes are also discussed. This video concludes with an introduction to projections in three dimensional space.
Episode 3
Calculus III: Three Dimensional Coordinate Systems (Level 4 of 10) | Midpoint, Distance Formulas
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 4 of 10) | Midpoint, Distance Formulas - Inhaltsangabe:

This video continues the exploration of a three dimensional cartesian coordinate system. This video goes over common formulas used in a three dimensional coordinate system, this video covers the midpoint formula and a derivation of the distance formula in three dimensions is also presented.
Episode 4
Calculus III: Three Dimensional Coordinate Systems (Level 5 of 10) | Sphere Equation
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 5 of 10) | Sphere Equation - Inhaltsangabe:

This video continues the exploration of a three dimensional cartesian coordinate system. This video goes over common formulas used in a three dimensional coordinate system, this video covers the midpoint formula and a derivation of the distance formula in three dimensions is also presented.
Episode 5
Calculus III: Three Dimensional Coordinate Systems (Level 6 of 10) | Distance Formula Examples
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 6 of 10) | Distance Formula Examples - Inhaltsangabe:

This video continues the exploration of a three dimensional Cartesian coordinate system.This video covers two basic examples requiring the use of the distance formula in three dimensions. In addition, the equation of a sphere is also derived.
Episode 6
Calculus III: Three Dimensional Coordinate Systems (Level 7 of 10) | Sphere Examples I
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 7 of 10) | Sphere Examples I - Inhaltsangabe:

This video continues the exploration of a three dimensional cartesian coordinate system.This video covers three slightly more challenging examples requiring the use of the distance formula in three dimensions.
Episode 7
Calculus III: Three Dimensional Coordinate Systems (Level 8 of 10) | Sphere Examples II
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 8 of 10) | Sphere Examples II - Inhaltsangabe:

This video continues the exploration of a three dimensional cartesian coordinate system.This video covers three intermediate examples that requires the use of the equation of a sphere. Two examples illustrate how to find the center and radius of a sphere by rewriting an equation into its standard form by completing the square.
Episode 8
Calculus III: Three Dimensional Coordinate Systems (Level 9 of 10) | Sphere Examples III
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 9 of 10) | Sphere Examples III - Inhaltsangabe:

This video continues the exploration of a three dimensional cartesian coordinate system. This video covers two challenging examples that requires the use of the equation of a sphere. The first example involves finding the equation of a sphere that is constrained in the first octant. The second example involves finding an equation of a sphere by solving a system of equations.
Episode 9
Calculus III: Three Dimensional Coordinate Systems (Level 10 of 10) | Graphing Inequalities
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Coordinate Systems (Level 10 of 10) | Graphing Inequalities - Inhaltsangabe:

This video continues the exploration of a three dimensional cartesian coordinate system. This video covers two challenging examples that requires the use of the equation of a sphere. The first example involves finding the equation of a sphere that is constrained in the first octant. The second example involves finding an equation of a sphere by solving a system of equations.
Episode 10
Calculus III: Two Dimensional Vectors (Level 1 of 13) | Basics
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 1 of 13) | Basics - Inhaltsangabe:

This video concludes the exploration of a three dimensional Cartesian coordinate system. This video covers 2 examples illustrating the appropriate way of graphing equations in three dimensional space that are restricted to a given interval. In addition, this video goes over 5 examples illustrating how to graph inequalities in three dimensional space.
Episode 11
Calculus III: Two Dimensional Vectors (Level 2 of 13) | Standard Position, Component Form
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 2 of 13) | Standard Position, Component Form - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over the basic concepts and terminology of vectors in a plane. Topics include: Vectors, Magnitude of a Vector, Equivalent Vectors, and Vector Notation. This video also goes over 2 examples.
Episode 12
Calculus III: Two Dimensional Vectors (Level 3 of 13) | Examples
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 3 of 13) | Examples - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over 5 examples covering how to write the component form of a vector and sketching vectors in standard position.
Episode 13
Calculus III: Two Dimensional Vectors (Level 4 of 13) | Vector Arithmetic - Geometric
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 4 of 13) | Vector Arithmetic - Geometric - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes vector operations also known as vector arithmetic. Topics include: geometric interpretation of scalar multiplication of a vector, vector addition, and vector subtraction.
Episode 14
Calculus III: Two Dimensional Vectors (Level 5 of 13) | Vector Arithmetic Examples I
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 5 of 13) | Vector Arithmetic Examples I - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over 12 examples covering vector addition, vector subtraction and scalar multiplication. These problems are solved by using the geometric interpretation of these particular vector operations.
Episode 15
Calculus III: Two Dimensional Vectors (Level 7 of 13) | Vector Arithmetic Examples II
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 7 of 13) | Vector Arithmetic Examples II - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over 12 examples covering vector addition, vector subtraction and scalar multiplication. These problems are solved by using the geometric interpretation of these particular vector operations.
Episode 16
Calculus III: Two Dimensional Vectors (Level 8 of 13) | Vector Properties
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 8 of 13) | Vector Properties - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over how to algebraically find the scalar multiple of a vector and vector addition. The concept of parallel vector is also introduced along with 2 examples.
Episode 17
Calculus III: Two Dimensional Vectors (Level 9 of 13) | Unit, Standard, Direction
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 9 of 13) | Unit, Standard, Direction - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over 5 examples that make use of the algebraic definition of scalar multiplication and vector addition.
Episode 18
Calculus III: Two Dimensional Vectors (Level 10 of 13) | Unit Vector Examples
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 10 of 13) | Unit Vector Examples - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over properties of vector operations. Properties are also proven geometrically and algebraically.
Episode 19
Calculus III: Two Dimensional Vectors (Level 11 of 13) | Resultant Force
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 11 of 13) | Resultant Force - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over applications of vectors. 3 examples are covered illustrating how to find the resultant force.
Episode 20
Calculus III: Two Dimensional Vectors (Level 12 of 13) | Static Equilibrium
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Calculus III (Multivariable Calculus) - Calculus III: Two Dimensional Vectors (Level 12 of 13) | Static Equilibrium - Inhaltsangabe:

This video is a review of Two Dimensional Vectors. This video goes over applications of vectors. 3 examples are covered illustrating how to solve static equilibrium problems.
Episode 21
Calculus III: Three Dimensional Vectors (Level 1 of 3) | Properties, Examples I
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Vectors (Level 1 of 3) | Properties, Examples I - Inhaltsangabe:

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 3 basic examples are also covered illustrating how to solve problems that make use of vectors in space.
Episode 22
Calculus III: Three Dimensional Vectors (Level 2 of 3) | Examples II
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Vectors (Level 2 of 3) | Examples II - Inhaltsangabe:

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 6 intermediate examples are covered illustrating how to solve problems that make use of vectors in space.
Episode 23
Calculus III: Three Dimensional Vectors (Level 3 of 3) | Examples III
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Vectors (Level 3 of 3) | Examples III - Inhaltsangabe:

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 4 intermediate examples including a static equilibrium problem are covered.
Episode 24
Calculus III: Three Dimensional Vectors (Level 1 of 3) | Properties, Examples I
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Vectors (Level 1 of 3) | Properties, Examples I - Inhaltsangabe:

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 3 basic examples are also covered illustrating how to solve problems that make use of vectors in space.
Episode 25
Calculus III: Three Dimensional Vectors (Level 2 of 3) | Examples II
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Vectors (Level 2 of 3) | Examples II - Inhaltsangabe:

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 6 intermediate examples are covered illustrating how to solve problems that make use of vectors in space.
Episode 26
Calculus III: Three Dimensional Vectors (Level 3 of 3) | Examples III
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Calculus III (Multivariable Calculus) - Calculus III: Three Dimensional Vectors (Level 3 of 3) | Examples III - Inhaltsangabe:

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 4 intermediate examples including a static equilibrium problem are covered.
Episode 27
Calculus III: The Dot Product (Level 1 of 12) | Geometric Definition
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 1 of 12) | Geometric Definition - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video covers the geometric interpretation of the dot product by going over 5 distinct cases where the angle between the vectors varies.
Episode 28
Calculus III: The Dot Product (Level 2 of 12) | Component Definition, Properties
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 2 of 12) | Component Definition, Properties - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. In this video we will derive another method to compute the dot product between two vectors by using their components. We will also cover the properties of the dot product.
Episode 29
Calculus III: The Dot Product (Level 3 of 12) | Examples I
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 3 of 12) | Examples I - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video goes over 11 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.
Episode 30
Calculus III: The Dot Product (Level 4 of 12) | Examples II
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 4 of 12) | Examples II - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video goes over 5 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.
Episode 31
Calculus III: The Dot Product (Level 5 of 12) | Poof, Angle Between Vectors, Examples III
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 5 of 12) | Poof, Angle Between Vectors, Examples III - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video goes over a proof for the geometric definition of the dot product. This video also goes over 4 examples illustrating how to find the angle between two vectors.
Episode 32
Calculus III: The Dot Product (Level 6 of 12) | Examples IV
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 6 of 12) | Examples IV - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video goes over 5 Intermediate level examples that require the use of dot product.
Episode 33
Calculus III: The Dot Product (Level 7 of 12) | Examples V
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 7 of 12) | Examples V - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video goes over 3 challenging examples that require the use of dot product.
Episode 34
Calculus III: The Dot Product (Level 8 of 12) | Scalar, Vector and Orthogonal Projections
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 8 of 12) | Scalar, Vector and Orthogonal Projections - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video covers an application of the dot product specifically, the scalar projection, vector projection, and orthogonal projection.
Episode 35
Calculus III: The Dot Product (Level 9 of 12) | Examples VI
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 9 of 12) | Examples VI - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video goes over 3 examples illustrating how to find the scalar projection, vector projection, and orthogonal projection.
Episode 36
Calculus III: The Dot Product (Level 10 of 12) | Direction Angles, Direction Cosines, Examples VII
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 10 of 12) | Direction Angles, Direction Cosines, Examples VII - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video covers direction angles and direction cosines. 3 examples are also covered illustrating how to solve problems involving direction angles and direction cosines.
Episode 37
Calculus III: The Dot Product (Level 11 of 12) | Work, Examples VIII
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 11 of 12) | Work, Examples VIII - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video goes over how to find the work done by a constant force. 4 examples are also presented illustrating how to solve work problems.
Episode 38
Calculus III: The Dot Product (Level 12 of 12) | Cauchy-Schwarz, Triangle Inequality
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Calculus III (Multivariable Calculus) - Calculus III: The Dot Product (Level 12 of 12) | Cauchy-Schwarz, Triangle Inequality - Inhaltsangabe:

This video goes over the dot product also known as the scalar product. This video ends the dot product series by going over 3 proofs specifically the Cauchy-Schwarz Inequality, Triangle Inequality and the Parallelogram Law.
Episode 39
Calculus III: The Cross Product (Level 1) | Geometric Definition
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 1) | Geometric Definition - Inhaltsangabe:

This video introduces the third way of multiplying vectors called the cross product also known as the vector product and sometimes refereed to as the area product. This video will cover the geometric definition of the cross product.
Episode 40
Calculus III: The Cross Product (Level 2) | Component Definition
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 2) | Component Definition - Inhaltsangabe:

This video introduces the third way of multiplying vectors called the cross product also known as the vector product and sometimes refereed to as the area product. This video will cover the component definition of the cross product. A review of determinants is also presented.
Episode 41
Calculus III: The Cross Product (Level 3) | Examples I
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 3) | Examples I - Inhaltsangabe:

This video goes over 5 examples illustrating how to find the cross product of two vectors in space by using both the geometric and component definition of the cross product.
Episode 42
Calculus III: The Cross Product (Level 4) | Examples II
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 4) | Examples II - Inhaltsangabe:

This video goes over 8 examples illustrating how to find the cross product of two vectors in space by using both the geometric and component definition of the cross product.
Episode 43
Calculus III: The Cross Product (Level 5) | Algebraic Properties
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 5) | Algebraic Properties - Inhaltsangabe:

This video goes over various algebraic properties of the cross product. Proofs of these properties are also presented as well as 4 examples.
Episode 44
Calculus III: The Cross Product (Level 6) | Geometric Properties
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 6) | Geometric Properties - Inhaltsangabe:

This video goes over various geometric properties of the cross product. Proofs of these properties are also presented as well as 2 examples.
Episode 45
Calculus III: The Cross Product (Level 7) | Scalar Triple Product
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 7) | Scalar Triple Product - Inhaltsangabe:

This video goes over the scalar triple product also known as the triple scalar product and its use in finding the volume of a parallelepiped and determining of 3 vectors are coplanar.
Episode 46
Calculus III: The Cross Product (Level 8) | Torque
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 8) | Torque - Inhaltsangabe:

This video goes over a second application of the cross product and covers the basic concepts of torque which is also known as moment.
Episode 47
Calculus III: The Cross Product (Level 9) | Torque Examples
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Calculus III (Multivariable Calculus) - Calculus III: The Cross Product (Level 9) | Torque Examples - Inhaltsangabe:

This video goes over 3 torque examples. This video also ends the cross product series.

Calculus III (Multivariable Calculus) - stream

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Original Titel Calculus III (Multivariable Calculus)
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Angelegt 2016-06-19