21:451-Double Integration
A 22-minute video from William Nesse: “1-Double Integration”.
William Nesse
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21:45
18:0610-Example 2D change of variables
A 18-minute video from William Nesse: “10-Example 2D change of variables”.
28:0910.5 Example of multivariate change of variables
A 28-minute video from William Nesse: “10.5 Example of multivariate change of variables”.
28:4011-Vector fields
A 29-minute video from William Nesse: “11-Vector fields”.
17:3212-Line integrals
A 18-minute video from William Nesse: “12-Line integrals”.
23:5713-Line integrals over vector fields
A 24-minute video from William Nesse: “13-Line integrals over vector fields”.
20:0414-Fundamental theorem of line integrals
A 20-minute video from William Nesse: “14-Fundamental theorem of line integrals”.
46:0415-Independence of path
A 46-minute video from William Nesse: “15-Independence of path”.
33:5716-Green's Theorem
A 34-minute video from William Nesse: “16-Green's Theorem”.
44:0117-Curl and Divergence
A 44-minute video from William Nesse: “17-Curl and Divergence”.
36:5818-Surface Integrals and Flux
A 37-minute video from William Nesse: “18-Surface Integrals and Flux”.
29:2219-Stokes' theorem
A 29-minute video from William Nesse: “19-Stokes' theorem”.
25:302-Integration over non-rectangular area-regions
A 26-minute video from William Nesse: “2-Integration over non-rectangular area-regions”.
34:5020-Divergence theorem
A 35-minute video from William Nesse: “20-Divergence theorem”.
38:1121-Heat conduction in 1D
A 38-minute video from William Nesse: “21-Heat conduction in 1D”.
37:4622-Boundary conditions and equilibria
A 38-minute video from William Nesse: “22-Boundary conditions and equilibria”.
32:4323-Heat transfer, transport, and diffusion in 2D and 3D
A 33-minute video from William Nesse: “23-Heat transfer, transport, and diffusion in 2D and 3D”.
39:5924-Orthogonality and the inner product
A 40-minute video from William Nesse: “24-Orthogonality and the inner product”.
35:5225-Approximations by orthogonal projection and function spaces
A 36-minute video from William Nesse: “25-Approximations by orthogonal projection and function spaces”.
46:2126-Solving 1D heat equation with zero-temperature boundaries
A 46-minute video from William Nesse: “26-Solving 1D heat equation with zero-temperature boundaries”.
27:1327-Heat equation with insulated end points
A 27-minute video from William Nesse: “27-Heat equation with insulated end points”.
44:1928-Laplace's equation as equilibrium temperature
A 44-minute video from William Nesse: “28-Laplace's equation as equilibrium temperature”.
19:2629-Laplace's equation for electrostatic potentials
A 19-minute video from William Nesse: “29-Laplace's equation for electrostatic potentials”.
19:513-integration in polar coordinates
A 20-minute video from William Nesse: “3-integration in polar coordinates”.
28:2330-Laplace's equation in polar and zero-net-flux
A 28-minute video from William Nesse: “30-Laplace's equation in polar and zero-net-flux”.
25:0131-Laplace's equation on a disk
A 25-minute video from William Nesse: “31-Laplace's equation on a disk”.
14:0732-Mean value and min/max properties of Laplace
A 14-minute video from William Nesse: “32-Mean value and min/max properties of Laplace”.
32:3433-Fourier series: conditions for convergence
A 33-minute video from William Nesse: “33-Fourier series: conditions for convergence”.
21:3034-Fourier series example computation
A 22-minute video from William Nesse: “34-Fourier series example computation”.
27:4435-Cosine and Sine Fourier series
A 28-minute video from William Nesse: “35-Cosine and Sine Fourier series”.
17:5236-Sine series example
A 18-minute video from William Nesse: “36-Sine series example”.
32:1537-Term by term differentiation of Fourier series
A 32-minute video from William Nesse: “37-Term by term differentiation of Fourier series”.
21:4638-Term by term integration of Fourier series
A 22-minute video from William Nesse: “38-Term by term integration of Fourier series”.
28:0539-Vibrating strings: deriving the wave equation two ways
A 28-minute video from William Nesse: “39-Vibrating strings: deriving the wave equation two ways”.
26:384-applications of 2D integration to probability
A 27-minute video from William Nesse: “4-applications of 2D integration to probability”.
22:4640-Boundary conditions on the wave equation
A 23-minute video from William Nesse: “40-Boundary conditions on the wave equation”.