Learn Calculus by Coding in Python – Ed Pratowski (2025)

A new video course taught by Ed Pratowski on the freeCodeCamp.org YouTube channel teaches college-level calculus through hands-on Python programming. It starts with foundational ideas - limits (holes and asymptotes), slope, and derivative intuition - then progresses through derivative rules (chain rule, product rule, implicit differentiation), multiple-step derivatives, tangent lines, and parametric equations. The sequence includes classic theorems like Rolle’s and the Mean Value Theorem and moves into integral calculus with Riemann sums, the Fundamental Theorem of Calculus, areas between curves, and volumes of revolution (including hollow shapes and volumes about both axes). Applied modules cover related rates, projectile motion, financial modeling, center of mass, the normal curve, arc length, surface area, and use of SymPy for symbolic math and graphing.

The course’s core claim is that coding each concept reinforces understanding while building practical skills useful in data science, engineering, and technical careers. Students implement derivatives, plot functions, compute integrals programmatically, and apply calculus to real problems, turning abstract formulas into reproducible Python workflows. The curriculum is comprehensive and explicitly maps standard calculus topics to code examples and symbolic tools, making it suitable for learners who want both mathematical rigor and immediately applicable programming experience.