: Applied in rendering images via optimization techniques and for navigation and control systems. Featured Presentations (PPT)
| | What It Connects | Engineering Application | |-------------|---------------------|----------------------------| | Gradient Theorem | Potential difference to line integral of gradient | Calculating work done by conservative forces | | Green's Theorem | Line integral around closed curve to double integral over enclosed area | Airflow measurements around airfoils | | Stokes' Theorem | Line integral around closed curve to surface integral of curl over enclosed surface | Electromagnetic induction and magnetic field circulation | | Divergence Theorem | Surface integral of flux to volume integral of divergence over enclosed volume | Computing total flux through a closed surface | application of vector calculus in engineering field ppt hot