Apply advanced calculus to real-world problems through comprehensive SageMath computations in electromagnetic theory, fluid dynamics, and heat transfer. This culminating Jupyter notebook integrates all fundamental theorems with practical applications including Maxwell's equations, Navier-Stokes flow analysis, and thermodynamic modeling. CoCalc's collaborative platform combines symbolic computation, numerical methods, and 3D visualization tools, enabling students to solve complex engineering and physics problems while reinforcing connections between mathematical theory and physical phenomena.