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Math 0-1: Calculus for Data Science & Machine Learning

سرفصل های دوره

A Casual Guide for Artificial Intelligence, Deep Learning, and Python Programmers


1 - Introduction and Outline
  • 1 - Introduction
  • 2 - Outline
  • 3 - How to Succeed in this Course
  • 4 - Github Link.txt
  • 4 - Where to Get the Code

  • 2 - Review
  • 5 - Functions Review
  • 6 - Functions Review in Python

  • 3 - Limits
  • 7 - What Are Limits
  • 8 - Precise Definition of Limit Optional
  • 9 - Limit Laws
  • 10 - Infinities and Asymptotes
  • 11 - Indeterminate Forms
  • 12 - Limits in Python
  • 13 - Limits with Plotting in Python

  • 4 - Derivatives From First Principles
  • 14 - Slopes Tangent Lines and Derivatives
  • 15 - More On Tangent Lines Derivative Checking
  • 16 - Exercise Quadratic
  • 17 - Exercise Cubic
  • 18 - Exercise Reciprocal
  • 19 - Exercise Root
  • 20 - Alternate Notations Higher Order Derivatives
  • 21 - Derivative Checking in Python

  • 5 - Derivative Rules
  • 22 - Power Rule
  • 23 - Constant Multiple Addition Subtraction Rules
  • 24 - Exponent Rule
  • 25 - Exponent Rule continued
  • 26 - Chain Rule
  • 27 - Exercises Chain Rule
  • 28 - Product and Quotient Rules
  • 29 - Exercises Product and Quotient Rules
  • 30 - Implicit Differentiation
  • 31 - Logarithm Rule
  • 32 - Implicit Differentiation Applications
  • 33 - Logarithmic Differentiation
  • 34 - Exercise Derivatives of Hyperbolic Functions
  • 35 - Exercise Sum of Polynomials
  • 36 - Exercise Gaussian Variance
  • 37 - Exercise Entropy
  • 38 - Trigonometric Functions Optional
  • 39 - Inverse Trigonometric Functions Optional

  • 6 - Applications of Differentiation
  • 40 - Finding the Minimum Maximum
  • 41 - Minimum Maximum Clarifications and Examples
  • 42 - Second Derivative Test
  • 43 - Exercise Minimums and Maximums
  • 44 - Exercise Entropy
  • 45 - Exercise Gaussian 1
  • 46 - Exercise Gaussian 2
  • 47 - lHopitals Rule
  • 48 - Newtons Method
  • 49 - Newtons Method in Python

  • 7 - Integration Calculus 2
  • 50 - Integrals Section Introduction
  • 51 - Area Under Curve
  • 52 - Fundamental Theorem of Calculus pt 1
  • 53 - Fundamental Theorem of Calculus pt 2
  • 54 - Definite and Indefinite Integrals
  • 55 - Exercises Definite Integrals
  • 56 - Exercises Indefinite Integrals
  • 57 - Exercises Improper Integrals
  • 58 - Numerical Integration in Python

  • 8 - Vector Calculus in Multiple Dimensions Calculus 3
  • 59 - Functions of Multiple Variables
  • 60 - Partial Differentiation
  • 61 - The Gradient
  • 62 - The Jacobian and Hessian
  • 63 - Differentials and Chain Rule in Multiple Dimensions
  • 64 - Why is the Gradient the Direction of Steepest Ascent
  • 65 - Steepest Ascent in Python
  • 66 - Optimization and Lagrange Multipliers pt 1
  • 67 - Optimization and Lagrange Multipliers pt 2
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    تاریخ انتشار: 26 فروردین 1402
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