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.