In May 2025, Alex Howard developed foundational Laplace Transforms documentation for the mphowardlab/essential-math repository, focusing on clear definitions, key properties, and practical applications for solving first-order ordinary differential equations. Using Markdown and technical writing skills, Alex structured the content to support both new and experienced users, emphasizing clarity and ease of onboarding. The work included updating contributor credits and integrating version control practices to ensure traceability. By prioritizing documentation quality and user guidance, Alex laid the groundwork for future feature development and broader adoption, addressing user support needs and enhancing the library’s readiness for ongoing mathematical and engineering projects.