Weeks | Topics |
1 |
Vectors and Linear Spaces
|
2 |
Complex Numbers
|
3 |
Bivectors and the Exterior Algebra
|
4 |
Pauli Spin Matrices and Spinors
|
5 |
Quaternions, The Fourth Dimension
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6 |
The Cross Product, Electromagnetism
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7 |
Lorentz Transformations, The Dirac Equation
|
8 |
Midterm
|
9 |
Fierz Identities and Boomerangs, Flags, Poles and Dipoles
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10 |
Tilt to the Opposite Metric, Definitions of the Clifford Algebra
|
11 |
Witt Rings and Brauer Groups, Matrix Representations and Periodicity of 8
|
12 |
Spin Groups and Spinor Spaces, Scalar Products of Spinors and the Chessboard
|
13 |
Möbius Transformations and Vahlen Matrices, Hypercomplex Analysis
|
14 |
Binary İndex Sets and Walsh Functions, Chevalley’s Construction and Characteristic 2
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