College Calculus – Full Course with Python Code

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Learn college Calculus from an experienced university mathematics professor. You will also learn how to implement all the Calculus concepts using the Python programming language.

Ed Pratowski developed this course for freeCodeCamp.org.

Code Links
1 – Limits and Slope
https://colab.research.google.com/drive/1hKKLXzWUtLj_5BjsQpnceKtLAxzZeIkn?usp=sharing

2 – Derivatives
https://colab.research.google.com/drive/12n9UZphbfC9tVhoy8QWkeSOhkDjmlh1f?usp=sharing

3 – Graphing Derivatives
https://colab.research.google.com/drive/1zdyoccDiQmYnHMfChB8EWY6NqPE10O2J?usp=sharing

4 – Related Rates
https://colab.research.google.com/drive/19q4nRpqpBzwZ2Qs7heHSCXHHIPyDpm6R?usp=sharing

5 – Integrals
https://colab.research.google.com/drive/15KmbeugtGsxMUiGTg3Wn-fQDgIOK2KAZ?usp=sharing

Support for this channel comes from our friends at Scrimba – the coding platform that’s reinvented interactive learning: https://scrimba.com/freecodecamp

Contents
(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

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