awesome-self-taught-calculus

Awesome Self-Taught Calculus

I bet you can’t learn calculus without taking a Calculus course

Bet!

I’ll try to track my progress here. As I learn new concepts, I’ll link to the videos that I watch.

History of Calculus / Primer

• The Lore Behind Calculus - Well Rested Dog
  • Timeline of Calculus
  • World Map of Calculus
• Calculus at a 5th Grade Level - Lukey B. The Physics G
• The Essence of Calculus - 3Blue1Brown

  Derivatives

• The paradox of the derivative - 3Blue1Brown
• Prologue to Calculus - Eddie Woo
  1. How fast did Usain Bolt run?
  2. How can we measure more accurately?
  3. The difference quotient
  4. Exploring a parabola
  5. Gradient of the tangent
• Basics of Calculus - Eddie Woo
  1. Foundational language & notation
  2. Example of using first principles
  3. Observing patterns in first principles
  4. Considering the gradient function visually
  5. Locating a tangent
• Derivative formulas through geometry - 3Blue1Brown

Rules of Differentiation

• Visualizing the Chain Rule and the Product Rule - 3Blue1Brown

Sum Rule

• The Derivative of a Sum - Eddie Woo
• The Sum and Difference Rule for Derivatives - AllThingsMathmatics
• Differentiating Polynomials - Khan Academy
• Power, Constant, and Sum Rules Worksheet

Product Rule

• Product Rule - Eddie Woo
  1. It’s Complicated…
  2. Simple Example
• Product Rule - Khan Academy
• Product Rule Worksheet

Chain Rule

• Function of a Function Rule - Eddie Woo
  1. Expanding Before Differentiating
  2. Introducing a Substitution
  3. Simple Example
  4. Working with Square Roots
• Chain Rule - Khan Academy
• Chain Rule Worksheet

Euler’s Number

• What is the number “e” and where does it come from? - Eddie Woo
• What’s so special about Euler’s number e? - 3Blue1Brown
• Why is the derivative of e^x equal to e^x - blackpenredpen
• Chain Rule with Natural Logs and Exponentials Worksheet

Integrals

• Integration and the fundemental theorem of caluclus - 3Blue1Brown
• What does area have to do with slope? - 3Blue1Brown
• Integration Power Rule Worksheet
• Fundemental Theorem of Calculus Worksheet

TODO: add some of this playlist https://www.youtube.com/watch?v=RA9hcWcwzk4&list=PL7BV7GwQEAukhHGUUJ6wrCtdBrsQYowG2