# Vector Calculus for Electromagnetism

### Course Description

This video tutorial series covers a range of vector calculus topics such as grad, div, curl, the fundamental theorems, integration by parts, the Dirac Delta Function, the Helmholtz Theorem, spherical polar co-ordinates etc.

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Maxwell's Equations are expressed using vector calculus notation.
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### Video Lectures & Study Materials

# Lecture Play Lecture
1 Vector Components Play Video
2 Scalar Dot Product Play Video
3 Vector Cross Product (1/2) Play Video
4 Vector Cross Product (2/2) Play Video
5 Law of Cosines Play Video
6 Separation Vector Play Video
7 Nabla Operator (1/2) Play Video
9 The Normal Vector Play Video
10 Why the Gradient is Perpendicular to Functions Play Video
11 Directional Derivative Play Video
12 The Nabla Operator (2/2) Play Video
13 The Divergence Play Video
14 The Curl of a Vector Field Play Video
15 Product Rules for Grad Div Curl Play Video
16 Vector Product Rule 2 Play Video
17 Vector Product Rule 3 Play Video
18 Vector Product Rule 4 Play Video
19 Vector Product Rule 5 Play Video
20 Vector Product Rule 6 Play Video
21 Vector Quotient Rule 1 Play Video
22 Vector Quotient Rule 2 Play Video
23 Vector Quotient Rule 3 Play Video
24 The Laplacian Play Video
25 Curl of the Gradient Play Video
26 Divergence of the Curl Play Video
27 Curl of the Curl Play Video
28 Fundamental Theorem of Calculus Play Video
29 Fundamental Theorem for Gradients Play Video
30 Green's Divergence Theorem Play Video
31 Stokes' Theorem Play Video
32 Integration by Parts Rule 1 Play Video
33 Integration by Parts Example Play Video
34 Integration by Parts Rule 2 Play Video
35 Integration by Parts Rule 3 Play Video
36 Integration by Parts Rule 4 Play Video
37 Spherical Polar Co-ordinates Play Video
38 Helmholtz Theorem (No Derivation) Play Video
39 Dirac Delta Function (1/2) Play Video
40 Dirac Delta Function (2/2) Play Video
41 Gradient of One Over the Separation Vector Play Video
42 Laplacian of One Over the Separation Vector Play Video
43 Helmholtz Theorem Proof (Part 1) Play Video
44 Helmholtz Theorem Proof (Part 2) Play Video
45 Derivation Biot and Savart Law Play Video

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