Calculus Foundations: A Quick Prep for Machine Learning

Categories: Math & Physics
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About Course

Dive into the foundational concepts of calculus, tailored for those looking to step into the world of machine learning. This course is inspired by the renowned “Essence of Calculus” series by 3Blue1Brown. With each lesson, you’ll gain a deeper understanding of calculus principles through intuitive visualizations and explanations.

What Will You Learn?

  • The foundational concepts and the true essence of calculus.
  • Understanding derivatives, their paradox, and their geometric interpretations.
  • The significance of Euler's number 'e' in calculus.
  • Techniques of implicit differentiation and its applications.
  • The concept of limits, L'Hôpital's rule, and the rigorous epsilon-delta definitions.
  • The integral connection between area and slope.
  • Deep dive into the fundamental theorem of calculus and its implications.
  • Insights into higher-order derivatives and their significance.
  • A comprehensive understanding of Taylor series and its applications.
  • Visual techniques to understand and visualize derivatives and integrals.

Course Content

Calculus Foundations
Unlock the mysteries of calculus with our curated course, designed as a primer for machine learning enthusiasts.

  • Understanding the Paradox of the Derivative
    16:50
  • Geometry Behind Derivative Formulas
    17:34
  • Chain Rule & Product Rule Visualization
    15:56
  • The Magic of Euler’s Number (e)
    13:50
  • Diving Deep into Implicit Differentiation
    15:34
  • Exploring Limits, L’Hôpital’s Rule & Epsilon Delta Definitions
    18:27
  • The Beauty of Integration & The Fundamental Theorem of Calculus
    20:46
  • Connecting Area with Slope
    12:39
  • Exploring Higher Order Derivatives
    05:39
  • Unraveling the Taylor Series
    22:20
  • A Different Way to Visualize Derivatives
    14:26

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