This nearly 7-hour comprehensive course teaches college-level Calculus with practical Python implementations for each concept. Learn from an experienced university mathematics professor as you master fundamental calculus topics including limits, derivatives, chain rule, product rule, implicit differentiation, financial applications, projectile motion, related rates, the Mean Value Theorem, Rolle's Theorem, Riemann sums, integrals, volume calculations, center of mass, the normal curve, arc length, and surface area. Access accompanying Python code in Google Colab notebooks to implement and visualize calculus concepts programmatically. The course progresses logically from basic limits through advanced integration techniques, providing both theoretical understanding and practical coding skills for mathematical problem-solving.
Overview
Syllabus
⌨️ 0:00:00 Intro: Calculus with Python
⌨️ 0:01:51 Limits: Hole in the Graph
⌨️ 0:06:51 Limits: Asymptotes
⌨️ 0:14:08 Limits: Graphing
⌨️ 0:32:36 Limits and Slope
⌨️ 0:44:41 Slope and the Derivative
⌨️ 0:54:46 Derivatives and Calculus
⌨️ 1:04:53 Chain Rule
⌨️ 1:12:27 Product Rule
⌨️ 1:29:42 Implicit Differentiation
⌨️ 1:45:07 Multiple Derivative Steps
⌨️ 1:57:43 Derivative Example
⌨️ 2:06:10 Financial Applications
⌨️ 2:23:06 Projectile Motion
⌨️ 2:31:52 Derivatives and Differentials
⌨️ 2:36:53 Tangent Lines
⌨️ 2:43:03 Parametric Equations
⌨️ 2:54:20 Related Rates: Ladder Sliding
⌨️ 3:12:01 Related Rates: Balloon Volume
⌨️ 3:23:13 Mean Value Theorem
⌨️ 3:29:03 Rolles Theorem
⌨️ 3:33:19 Riemann Sums: Area Under a Curve
⌨️ 3:46:06 Summation and the Integral
⌨️ 3:55:14 Fundamental Theorem of Calculus
⌨️ 4:02:08 Area Above and Below the Axis
⌨️ 4:10:19 Area Between Curves
⌨️ 4:19:05 Volume Revolved Around X
⌨️ 4:33:56 Volume of a Hollow Shape
⌨️ 4:42:57 Volume Revolved Around Y
⌨️ 4:52:54 Center of Mass
⌨️ 5:13:35 The Normal Curve
⌨️ 6:03:04 Sympy Graphing
⌨️ 6:20:07 Arc Length
⌨️ 6:30:43 Surface Area
⌨️ 6:40:32 Integral Formulas
Taught by
freeCodeCamp.org
