Interactive visualizations and computational tools for calculus concepts. Originally written as SageMath applets, with Python 3 (matplotlib/numpy) translations included.
| Topic | Description |
|---|---|
| Newton's Method | Iterative root-finding algorithm with visualization |
| Newton's Method (Animated) | Step-by-step animated breakdown of Newton's method |
| Taylor Expansion | Taylor polynomial approximations of sin(x) and e^x |
| Partial Fraction Decomposition | Step-by-step PFD of rational functions (SageMath) |
| Topic | Description |
|---|---|
| 3D Level Curves | 3D surface f(x,y) = x^2 + y^2 with horizontal level curves |
| 3D Cross Sections | 3D surface with vertical cross-section slices |
| Gradient Descent | Gradient descent for linear regression with visualization |
Most visualizations can be generated with Python 3:
python3 <topic_folder>/<script>.pyThe original SageMath code can be run on SageMathCell with no installation required.
GNU General Public License v3.0 -- see LICENSE.