Learn College Calculus and Implement with Python

Calculus is one of the cornerstones of higher mathematics and a powerful tool for understanding change, motion, and growth across countless disciplines. But for many students, Calculus can seem intimidating or abstract. What if you could learn it ste...

Apr 29, 2025 - 18:09

Learn College Calculus and Implement with Python

Calculus is one of the cornerstones of higher mathematics and a powerful tool for understanding change, motion, and growth across countless disciplines. But for many students, Calculus can seem intimidating or abstract. What if you could learn it step by step from a seasoned university professor, and simultaneously see how each concept works in code? That’s exactly what this new course offers: a practical, intuitive, and coding-friendly approach to mastering Calculus.

We just published a course on the freeCodeCamp.org YouTube channel that will teach you all about Calculus through the lens of Python programming. Taught by experienced mathematics professor Ed Pratowski, this course walks you through essential topics in college-level Calculus while showing you how to implement these concepts using Python.

The course begins with foundational concepts like limits and the idea of a "hole in the graph" before moving into derivative rules, slope interpretation, and real-world applications like financial modeling and projectile motion. You'll explore important theorems like Rolle's and the Mean Value Theorem, as well as integral calculus topics like Riemann sums, the Fundamental Theorem of Calculus, and calculating volume using solids of revolution. You'll also learn how to apply symbolic math libraries like SymPy for graphing and computation.

One of the unique features of this course is its consistent use of Python to illustrate and reinforce each Calculus concept. By coding derivatives, plotting graphs, and computing integrals programmatically, you'll not only deepen your mathematical understanding but also gain practical skills in mathematical programming. This is an invaluable asset for data science, engineering, and technical careers.

Here is the full list of topics covered.

Intro: Calculus with Python
Limits: Hole in the Graph
Limits: Asymptotes
Limits: Graphing
Limits and Slope
Slope and the Derivative
Derivatives and Calculus
Chain Rule
Product Rule
Implicit Differentiation
Multiple Derivative Steps
Derivative Example
Financial Applications
Projectile Motion
Derivatives and Differentials
Tangent Lines
Parametric Equations
Related Rates: Ladder Sliding
Related Rates: Balloon Volume
Mean Value Theorem
Rolles Theorem
Riemann Sums: Area Under a Curve
Summation and the Integral
Fundamental Theorem of Calculus
Area Above and Below the Axis
Area Between Curves
Volume Revolved Around X
Volume of a Hollow Shape
Volume Revolved Around Y
Center of Mass
The Normal Curve
Sympy Graphing
Arc Length
Surface Area
Integral Formulas

Ready to bring math to life with code? Check out this comprehensive Calculus with Python course on the freeCodeCamp.org YouTube channel.