Undergraduate-in-Statistics

Original Name: Using-X-Series The idea of using the new name is that, I am trying to combine all the course during the statistsics's bacholar period, not only using python, R or MATLAB, in fact this programming language are all important

Also, Happy 2020, I will try to finish this project before the end of 2020! (not finished, and continue in 2021)

What's more, I have removed the topic Data Mining, I thought there are multiple name in this area, "Data Mining", "Data Analysis", "Machine Learning", "Statistical Learning". Overall, there are very similar with tiny differences. In the new version, I would like to use "Statistical Learning" instead of other name.

In this series, I will try to teach the basic knowledge in Calculus, Linear Algebra, Advanced statistics and etc., which are required courses in UIC.

In these articles, most of the time, I will use numpy, sumpy and matplotlib. We can use numpy and scipy to deal with the high dimensional array or the matrix operation easily. With matplotlib, we can visualize the data and this is more intuitionistic.

Calculus

What is Function
Composition
Euler's Formula
Limits
Derivative
Newton's Method
Optimization
Integration and Differentiation
Ordinary Differential Equations,ODE)

Linear Algebra

Chapter Zero multiplication in LA and the lib we use
Chapter One Matrix
Chapter Two Determinant
Chapter Three Vector
Chapter Four Vector Space
Chapter Five Linear Algebra Advanced Text

Advanced Statistics（Probability and Statistics)

Chapter One Probability

* Random Experiment and Sample Space * Law of Total Probability and Bayes Formula * Random Variable * Discrete Distribution and Python Code * Contiuous Distribution and Python Code

Chapter Two Statistics

Bayesian Statistics

Chapter Zero Review

* Omission

Chapter One Introduction

* Conditional Probability * Conjoint Probability * Bayes's Theorem (in this semester, we has finished Bayesian Analysis course, but the course is to use R language as auxiliary material. I am now looking for Bayes theorem related python, Think Bayes too simple)