During a two-month period, Kevin Howard enhanced the mphowardlab/essential-math repository by developing educational features focused on calculus and differential equations. He authored comprehensive Markdown documentation on exact differential equations, introducing mathematical definitions, a formal test suite, and a step-by-step solution workflow to improve reliability and accessibility for learners. In addition, he created a conceptual tutorial on derivatives, clarifying the limit definition and its connection to tangent lines and rates of change, supported by a real-world ball-velocity example. His work demonstrated strong technical writing and mathematics skills, establishing reusable instructional patterns and strengthening the repository’s educational depth and maintainability.