Developed a comprehensive tutorial for the mphowardlab/essential-math repository, focusing on the shooting method for solving boundary value problems involving second-order ordinary differential equations. The work included creating detailed Markdown documentation and an illustrative image to guide users through converting second-order ODEs into first-order systems and applying numerical methods such as shooting with bisection to satisfy boundary conditions. Technical writing skills were leveraged to ensure clarity and accessibility, while the tutorial updated and integrated with existing materials in the repository. The project demonstrated depth in differential equations and numerical methods, providing a practical resource for users seeking to understand these techniques.