| 1 | Dual number system and dual number ring | [1] |
| 2 | Matrix representation of dual numbers and dual vector space | [1] |
| 3 | D-module, inner product and norm definition on D-module | [1] |
| 4 | E.Study transformation and dual angle | [1] |
| 5 | Outer product on D-module, mixed product and basis concept in dual vectors | [1] |
| 6 | Dual isometries on D-modules | [1] |
| 7 | Series expansion of dual variable functions and dual integral | [1] |
| 8 | Real quaternion algebra, matrix representation of real quaternions | [1] |
| 9 | Symplectic geometry, Dual quaternions | [1] |
| 10 | Basic operations on dual quaternions | [1] |
| 11 | Line quaternion, Quaternion operator, rotation and translation operators, screw operator | [1] |
| 12 | Geometry of lines | [1] |
| 13 | Ruled surfaces | [1] |
| 14 | Dual momentum, canonical system | [1] |