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Quick Start

Getting Started with Mindect.

Welcome

Welcome to the Mathematics note section of Mindect. You can learn various topics along with it's code in this section. Here's a brief tour of what you will learn in this sections.

Linear Algebra

The first topic you can explore is Linear Algebra in which you can learn the following topics.

  • Introduction to Numpy Arrays
  • Linear Systems as Matrices
  • Introduction to the Numpy.lanalg sub-library
  • Gaussian Elimination
  • Vector Operations: Scalar Multiplication, Sum and Dot Product of Vectors
  • Matrix Multiplication
  • Linear Transformation
  • Linear Transformatins and Neural Networks
  • Interpreting Eigenvalues and Eigenvectors
  • Application of Eigenvalues and Eigenvectors: Webpage navigation model and PCA

Calculus

The second topic you can learn is Calculus in which you can the following topics are being covered.

  • Differentiation in Python: Symbolic, Numerical and Automatic
  • Optimizing Functions of One Variable: Cost Minimization
  • Optimization Using Gradient Descent in One Variable
  • Optimization Using Gradient Descent in Two Variables
  • Optimization Using Gradient Descent: Linear Regression
  • Regression with Perceptron
  • Classification with Perceptron
  • Optimization Using Newton's Method
  • Neural Network with Two Layers

Probability and Statistics

The final topic to explore is P & S, here a summary of topics you can learn about

  • Four Birthday Problems
  • Monty Hall Problem
  • Exploratory Data Analysis: Intro to pandas
  • Exploratory Data Analysis: Exploring your data
  • Naive Bayes
  • Summary statistics and visualization of Data Sets
  • Exploratory Data Analysis: Data Visualization and Summary
  • Simulating Dice Rolls with Numpy
  • Loaded
  • Sampling data from different distribution and studying the distribution of sample mean
  • Exploratory Data Analysis: Linear Regression
  • Exploratory Data Analysis: Confidence Intervals with Hypoothesis Testing
  • A/B Testing

Here are link to learn each item

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