Calculus 3 with the Math Sorcerer

Udemy Calculus 3 with the Math Sorcerer

Register & Get access to index
eJy0rcH.jpg


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
Show less


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
Author
TUTProfessor
Downloads
96
Views
1,238
First release
Last update
Rating
0.00 star(s) 0 ratings

More resources from TUTProfessor