Week - 1 |
Space filling curves. |
Week - 2 |
Classical notions of dimension. |
Week - 3 |
Topological dimension (covering dimension). |
Week - 4 |
Hausdorff measure and Hausdorff dimension. |
Week - 5 |
Box-counting dimension. |
Week - 6 |
Box-counting dimension. |
Week - 7 |
Open set condition for an IFS. |
Week - 8 |
Moran equation and computing fractal dimension by Moran equation. |
Week - 9 |
Computing fractal dimension numerically. |
Week - 10 |
Mandelbrot set and Julia sets. |
Week - 11 |
Algorithms to obtain Julia sets. |
Week - 12 |
Interpolation functions. |
Week - 13 |
Fractal interpolation functions. |
Week - 14 |
Examples of fractal interpolation functions. |