Vector Calculus

Video Lectures

Displaying all 88 video lectures.
Lecture 1
Applications of Double integrals
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Applications of Double integrals
Lecture 2
Path Integrals: How to Integrate Over Curves
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Path Integrals: How to Integrate Over Curves
Lecture 3
What is a Vector Field?
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What is a Vector Field?
Lecture 4
What is the Divergence?
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What is the Divergence?
Lecture 5
What is the Curl?
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What is the Curl?
Lecture 6
What is a Line Integral?
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What is a Line Integral?
Lecture 7
Applications of Line Integrals
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Applications of Line Integrals
Lecture 8
Fundamental Theorem of Line Integrals
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Fundamental Theorem of Line Integrals
Lecture 9
What is Green's Theorem?
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What is Green's Theorem?
Lecture 10
Green's Theorem
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Green's Theorem
Lecture 11
Parametrised Surfaces
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Parametrised Surfaces
Lecture 12
What is a Surface Integral? (Part I)
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What is a Surface Integral? (Part I)
Lecture 13
More On Surface Integrals
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More On Surface Integrals
Lecture 14
Surface Integrals and Vector Fields
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Surface Integrals and Vector Fields
Lecture 15
Divergence Theorem of Gauss
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Divergence Theorem of Gauss
Lecture 16
How to Solve PDEs via Separation of Variables and Fourier Series
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How to Solve PDEs via Separation of Variables and Fourier Series
Lecture 17
Vector Revision
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Vector Revision
Lecture 18
Intro to Curves and Vector Functions
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Intro to Curves and Vector Functions
Lecture 19
Limits of Vector Functions
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Limits of Vector Functions
Lecture 20
Calculus of Vector Functions: One Variable
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Calculus of Vector Functions: One Variable
Lecture 21
Calculus of Vector Functions Tutorial
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Calculus of Vector Functions Tutorial
Lecture 22
Vector Functions Tutorial
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Vector Functions Tutorial
Lecture 23
Intro to Functions of Two Variables
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Intro to Functions of Two Variables
Lecture 24
Limits of Functions of Two Variables
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Limits of Functions of Two Variables
Lecture 25
Partial Derivatives
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Partial Derivatives
Lecture 26
Partial Derivatives and PDEs Tutorial
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Partial Derivatives and PDEs Tutorial
Lecture 27
Multivariable Functions: Graphs and Limits
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Multivariable Functions: Graphs and Limits
Lecture 28
Multivariable Chain Rule and Differentiability
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Multivariable Chain Rule and Differentiability
Lecture 29
Chain Rule: Partial Derivative of $\arctan (y/x)$ w.r.t. $x$
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Chain Rule: Partial Derivative of $\arctan (y/x)$ w.r.t. $x$
Lecture 30
Chain Rule & Partial Derivatives
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Chain Rule & Partial Derivatives
Lecture 31
Chain Rule: Identity Involving Partial Derivatives
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Chain Rule: Identity Involving Partial Derivatives
Lecture 32
Multivariable Chain Rule
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Multivariable Chain Rule
Lecture 33
Leibniz' Rule: Integration via Differentiation Under Integral Sign
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Leibniz' Rule: Integration via Differentiation Under Integral Sign
Lecture 34
Evaluating Challenging Integrals via Differentiation: Leibniz Rule
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Evaluating Challenging Integrals via Differentiation: Leibniz Rule
Lecture 35
Gradient and Directional Derivative
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Gradient and Directional Derivative
Lecture 36
Gradient and Directional Derivative
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Gradient and Directional Derivative
Lecture 37
Directional dDerivative of $f(x,y)$
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Directional dDerivative of $f(x,y)$
Lecture 38
Tangent Plane Approximation and Error Estimation
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Tangent Plane Approximation and Error Estimation
Lecture 39
Gradient and Tangent Plane
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Gradient and Tangent Plane
Lecture 40
Partial Derivatives and Error Estimation
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Partial Derivatives and Error Estimation
Lecture 41
Multivariable Taylor Polynomials
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Multivariable Taylor Polynomials
Lecture 42
Taylor Polynomials: Functions of Two Variables
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Taylor Polynomials: Functions of Two Variables
Lecture 43
Multivariable Calculus: Limits, Chain Rule and Arc Length
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Multivariable Calculus: Limits, Chain Rule and Arc Length
Lecture 44
Critical Points of Functions
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Critical Points of Functions
Lecture 45
How to Find Critical Points of Functions
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How to Find Critical Points of Functions
Lecture 46
How to Find Critical Points of Functions
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How to Find Critical Points of Functions
Lecture 47
Second Derivative Test: Two Variables
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Second Derivative Test: Two Variables
Lecture 48
Multivariable Calculus: Critical Points and Second Derivative Test
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Multivariable Calculus: Critical Points and Second Derivative Test
Lecture 49
How to Find and Classify Critical Points of Functions
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How to Find and Classify Critical Points of Functions
Lecture 50
Lagrange Multipliers
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Lagrange Multipliers
Lecture 51
Lagrange Multipliers: Two Constraints
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Lagrange Multipliers: Two Constraints
Lecture 52
Lagrange Multipliers: Extreme Values of a Function Subject to a Constraint
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Lagrange Multipliers: Extreme Values of a Function Subject to a Constraint
Lecture 53
Lagrange Multipliers Example
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Lagrange Multipliers Example
Lecture 54
Lagrange multiplier Example: Minimizing a Function Subject to a Constraint
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Lagrange multiplier Example: Minimizing a Function Subject to a Constraint
Lecture 55
Second Derivative Test, Max/Min and Lagrange Multipliers
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Second Derivative Test, Max/Min and Lagrange Multipliers
Lecture 56
Intro to Jacobian Matrix and Differentiability
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Intro to Jacobian Matrix and Differentiability
Lecture 57
Jacobian Chain Rule and Inverse Function Theorem
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Jacobian Chain Rule and Inverse Function Theorem
Lecture 58
Intro to Double Integrals
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Intro to Double Integrals
Lecture 59
Double Integrals Over General Regions
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Double Integrals Over General Regions
Lecture 60
Double Integrals: Volume Between Two Surfaces
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Double Integrals: Volume Between Two Surfaces
Lecture 61
Double Integrals: Volume of a Tetrahedron
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Double Integrals: Volume of a Tetrahedron
Lecture 62
Double Integral
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Double Integral
Lecture 63
Double Integrals and Area
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Double Integrals and Area
Lecture 64
Double Integrals in Polar Co-ordinates
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Double Integrals in Polar Co-ordinates
Lecture 65
Reversing Order in Double Integrals
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Reversing Order in Double Integrals
Lecture 66
Double Integrals: Reversing the Order of Integration
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Double Integrals: Reversing the Order of Integration
Lecture 67
Applications of Double Integrals
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Applications of Double Integrals
Lecture 68
Double Integrals and Polar Co-ordinates
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Double Integrals and Polar Co-ordinates
Lecture 69
Double Integrals
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Double Integrals
Lecture 70
Centroid and Double Integral
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Centroid and Double Integral
Lecture 71
Center of Mass, Double Integrals and Polar Co-ordinates
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Center of Mass, Double Integrals and Polar Co-ordinates
Lecture 72
Triple Integral
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Triple Integral
Lecture 73
Triple integrals in Cylindrical and Spherical Coordinates
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Triple integrals in Cylindrical and Spherical Coordinates
Lecture 74
Triple integrals & Center of Mass
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Triple integrals & Center of Mass
Lecture 75
Change of Variables in Double Integrals
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Change of Variables in Double Integrals
Lecture 76
Path Integral (Scalar Line Integral) From Vector Calculus
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Path Integral (Scalar Line Integral) From Vector Calculus
Lecture 77
Line Integral Example in 3D-Space
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Line Integral Example in 3D-Space
Lecture 78
Line Integral From Vector Calculus Over a Closed Curve
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Line Integral From Vector Calculus Over a Closed Curve
Lecture 79
Line Integral Example From Vector Calculus
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Line Integral Example From Vector Calculus
Lecture 80
Divergence of a Vector Field
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Divergence of a Vector Field
Lecture 81
Curl of a Vector Field (ex. no.1)
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Curl of a Vector Field (ex. no.1)
Lecture 82
Curl of a Vector Field (ex. no.2)
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Curl of a Vector Field (ex. no.2)
Lecture 83
Divergence Theorem of Gauss
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Divergence Theorem of Gauss
Lecture 84
Intro to Fourier Series and How to Calculate Them
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Intro to Fourier Series and How to Calculate Them
Lecture 85
How to Compute a Fourier Series: An Example
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How to Compute a Fourier Series: An Example
Lecture 86
What are Fourier Series?
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What are Fourier Series?
Lecture 87
Fourier Series
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Fourier Series
Lecture 88
Fourier Series and Differential Equations
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Fourier Series and Differential Equations