• Limits 

  1- Fundamental of limits 

  2- Epsilon-delta definition of limit

  3- Limits Playlist (includes more topics and practice questions)

• Derivatives

  
  

  https://www.youtube.com/watch?v=jj2dnXbNO3E&list=PL4E0D4B2C9C83E573

  
  

  https://www.youtube.com/watch?v=zmnh448y_ZU&pp=ygUUZGVyaXZhdGl2ZXMgcGxheWxpc3Q%3D

  
  

  https://www.youtube.com/watch?v=_niP0JaOgHY&pp=ygUmZGVyaXZhdGl2ZXMgb2YgdHJpZ29ub21ldHJpYyBmdW5jdGlvbnM%3D

• Partial Derivatives

• Integration (by parts, u substitutions, partial fractions, approximation of integrals, improper integrals, multiple integrals, definite integrals,)

  
  

  Integration by parts using DI method

• Infinite sequences and series ( convergence tests, power series, Taylor polynomials and series )

  
  

More Resource : 

1. Reference Books

   • Calculus: Early Transcendentals, Dennis G. Zill, Warren S. Wright.

   • Multivariable Calculus, Dennis G. Zill, Warren S. Wright.

2. Calculus YouTube Channel 

• Vectors (vector span, basis of a vector and more )

• Vector spaces

• Row Echelon Form

• span and Linear combination

• linear independence and dependence

• basis and dimension,

• eigen values and eigen vectors

• rank of a matrix,

• determinants,

• diagonalization, (https://www.youtube.com/watch?v=YcNV_Uw3vTM)

• similarity

• positive definite matrices.

More Resource : 

1. Reference Books

   • Introduction to Linear Algebra, Gilbert Strang

2. Linear Algebra by patrickJMT a YouTube Channel 

• Probability models; (Permutations and Combinations, Union & Intersection, Mutual Exclusion)

• Combinatorics;

• Random variables;

• Discrete and Continuous probability distributions;

• Probability Density Functions

• Parameter and random variable estimation ( sample distribution, Central Limit Theorem, T distribution)

• Hypothesis testing.

More Resource : 

1. Reference Books

   • Probability and Statistics, DeGroot, Morris H., and Mark J. Schervish.

   
   

In App/system programming, computers backstage use math to understand humans. 

In Data sciences humans uses math to talk to computers so that both the programmer and the computer understand humans.  

I don’t understand conversations at a certain level, so I do other operation in my head to understand. Like, drawing a map, or just nodding, sometimes I would smile and try to read the expressions of that person face in a hopeless try to understand what are they talking about. However, the more I dive in anything that is related to data science I caught myself using the same exact ways that I learned, and it works..

Maybe that’s way I’m drone to data science, because it’s the first time I share a language.