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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تولید کننده: Udemy-Training