Course Information

Home
Video Lectures
About The Professor

Course

Subject:	Mathematics
Topic:	Vector Calculus
Views:	298,173

Educator

Name:	University of New South Wales (UNSW)
Type:	University

Visit Official Website

Instructor

Name

Christopher Tisdell

Vector Calculus

Video Lectures

Displaying all 88 video lectures.

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