| 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
|
| 6 |
The Cross Product, Electromagnetism
|
| 7 |
Lorentz Transformations, The Dirac Equation
|
| 8 |
Midterm
|
| 9 |
Fierz Identities and Boomerangs, Flags, Poles and Dipoles
|
| 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
|