04.08.2021, 19:41

Calculus 3 with the Math Sorcerer

MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch

Genre: eLearning | Language: English + srt | Duration: 280 lectures (19h 39m) | Size: 12.1 GB

Learn Calculus 3 with the Math Sorcerer:)

What you'll learn:

Understand Vectors in the Plane

Understand the Three Dimensional Coordinate System

How to Plot Points in Three Dimensions

Find the Magnitude of Vectors in Two Dimensions and Three Dimensions

How to Find the Vector Given the Initial and Terminal Points

How to Sketch a Vector in Standard Position

Understand what a Unit Vector Actually Is

How to Find a Unit Vector in the Direction of Another Vector

How to Construct a Vector with a Given Magnitude in the Direction of Another Vector

How to Find the Terminal Point of a Vector Given the Vector and its Initial Point

How to Find a Unit Vector in the Direction Opposite of a Vector

How to Compute the Dot Product

How to Determine if Vectors are Orthogonal

How to Find the Angle Between Two Vectors

How to Compute the Dot Product Given the Magnitudes of Vectors and the Angle Between Them

How to Find Two Vectors in Opposite Directions Orthogonal to a Given Vector

Understand What Direction Cosines and Direction Angles Are

How to Derive the Formulas for Direction Cosines and Direction Angles

How to Find Direction Cosines

How to Find Direction Angles

How to Find the Cross Product

How to Find a Unit Vector Orthogonal to Two Vectors

How to Find the Distance Between Two Points in Space

How to Find the Equation of a Sphere Given the Center and Radius

How to Find the Equation of a Sphere Given the Endpoints of the Diameter

How to Write the Equation of the Sphere in Standard Form by Completing the Square and Find the Center and Radius

How to Derive the Formulas for the Parametric and Symmetric Equations of a Line in Space

How to Find the Equation of a Line in Space Given a Point and a Parallel Vector

How to Find the Equation of a Line in Space Passing through Two Points

How to Find the Equation of a Line in Space Given a Point and a Parallel Line

How to Find the Equation of the Plane Given a Point and a Normal Vector

How to Find the Equation of a Plane Given Three Points

How to Find the Equation of the Plane that is Parallel to the z-axis Given Two Points

How to Find the Equation of a Plane Given a Point and a Line on the Plane

How to Find the Equation of a Plane Given Two Points and a Perpendicular Plane

Understand Cylindrical Coordinates and Why they Are Useful

How to Convert from Cylindrical Coordinates to Rectangular Coordinates

How to Convert from Rectangular Coordinates to Cylindrical Coordinates

How to Convert Rectangular Equations to Cylindrical Equations

How to Convert Cylindrical Equations to Rectangular Equations

Understand Spherical Coordinates

How to Convert Spherical Coordinates to Rectangular Coordinates

How to Convert Rectangular Coordinates to Spherical Coordinates

How to Convert Spherical Equations to Rectangular Equations

How to Convert Rectangular Equations to Spherical Equations

Understand Vector-Valued Functions

How to Graph a Vector-Valued Function, Find the Orientation of the Graph, and Write it in Rectangular Form

How to Represent Plane Curves as Vector-Valued Functions

How to Represent Any Circle as a Vector-Valued Function

How to Represent Any Ellipse as a Vector-Valued Function

How to Represent Any Hyperbola as a Vector-Valued Function

How to Evaluate Limits involving Vector-Valued Functions

How to Determine the Intervals on which a Vector-Valued Function is Continuous

How to Find the Derivative of a Vector-Valued Function

How to Find the Second Derivative of a Vector-Valued Function

How to Find the Intervals where a Vector-Valued Function is Smooth

How to Solve Differential Equations with Vector-Valued Functions

How to Evaluate Indefinite Integrals with Vector-Valued Functions

How to Evaluate Definite Integrals with Vector-Valued Functions

How to Find the Velocity, Speed, and Acceleration Given a Position Function as a Vector-Valued Function

How to Find the Position Function Given the Velocity and Acceleration

Understand the Unit Tangent Vector

How to Compute the Unit Tangent Vector

How to Find the Equation of a Tangent Line in Space

Understand the Principal Unit Normal Vector

How to Find the Principal Unit Normal Vector

Understand Arc Length

Understand the Arc Length Function

How to Compute Arc Length

Understand Curvature

Understand the Curvature of a Circle Intuitively

How to Compute the Curvature of a Circle

How to Compute Curvature using Various Formulas

Understand Functions of Several Variables

How to Evaluate Functions of Several Variables

How to Find the Domain and Range of Functions of Several Variables

How to Find the Level Curves of a Function

How to Find Limits for Functions of Several Variables

How to Show a Multivariate Limit Does Not Exist

How to Use Polar Coordinates to Evaluate Limits for Functions of Several Variables

Understand Partial Derivatives

How to Compute Partial Derivatives

Understand the Notation for Higher Order Partial Derivatives

How to Compute Higher Order Partial Derivatives

How to Show a Function Satisfies Laplace's Equation

How to Show a Function Satisfies the Heat Equation

How to Show a Function Satisfies the Wave Equation

How to Show a Function Satisfies the Cauchy Riemann Equations

How to Compute the Total Differential

How to Use the Total Differential To Approximate a Function of Several Variables

Understand the Chain Rule for One Independent Variable

How to use the Chain Rule to Find the Derivative in the One Independent Variable Case

Understand the Chain rule for Two Independent Variables

How to use the Chain Rule to Find the Derivative in the Two Independent Variable Case

How to Find dy/dx using Calculus 3 Methods

How to Differentiate Multivariable Functions Implicity

Understand Directional Derivatives

How to Compute Directional Derivatives

Understand the Gradient

How to Compute the Gradient

How to Find the Maximum Value of the Directional Derivative

How to Find a Unit Normal Vector Given a Surface

Understand Tangent Planes and Normal Lines

How to Find the Equation of a Tangent Plane and the Equation of the Normal Line

How to use the Second Partials Test to Find Relative Extrema and Saddle Points

How to Find the Minimum Distance from a Point to a Plane

How to use Lagrange Multipliers to Find Relative Extrema

How to use Lagrange Multipliers in the Case with Two Constraints

How to Integrate Multivariable Functions with respect to One Variable

Understand Iterated Integrals

How to Evaluate Iterated Integrals

How to Switch the Order of Integration in Iterated Integrals

Understand Double Integrals

How to Write Both Orders of Integration in Double Integrals

Understand Triple Integrals

How to Evaluate Triple Integrals

Understand Vector Fields

How to Determine if a Vector Field is Conservative

How to Find the Potential Function for a Conservative Vector Field

How to Compute the Divergence of a Vector Field

How to Compute the Curl of a Vector Field

How to Evaluate a Line Integral

How to Evaluate the Line Integral of a Vector Field

How to Evaluate a Line Integral in Differential Form

How to Compute the Work Done by a Force Field

Understand Projections

How to find the Projection of u onto v

How to find the Vector Component of u along v

Requirements

Calculus 1 and Calculus 2

Knowledge of Basic Calculus

Description

This Calculus 3 Course has hundreds of videos:)

Note: If you know some Calculus 1 you could probably jump in and complete a significant portion of this course without Calculus 2.

Basically just,

1) Watch the videos, and try to follow along with a pencil and paper, take notes!

2) Try to do the problems before I do them(if you can!)

3) Repeat!

Calculus 3 is an absolutely beautiful subject. I hope you enjoy watching these videos and working through these problems as much as I have:)

Who this course is for

Anyone Who Wants to Learn Calculus 3

Homepage

[code]https://anonymz.com/?https://www.udemy.com/course/calculus-3-with-the-math-sorcerer/[/code]

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