Quick Start
Getting Started with Mathematics
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
Links
Here are link to learn each item