lurkingryuu / mathsem2

A custom module for math for semester 2, first year IITKGP

Linear Algebra

Installation

Clone this repository to your project directory.

Run pip install -r requirements.txt to install dependencies.

Documentation

example:

import sem2.NA_Matrix as nam

print(help(nam)) # Module Help
print(help(nam.jacobi)) # function help

Linear Analysis

Run the LA_main.py file in the Module

windows: python sem2\LA_main.py

linux: python3 sem2/LA_main.py

Numerical Analysis

Matrices

import:

import sem2.NA_Matrix as nam

The NA_Matrix submodule in the module contains Jacobi and Gauss seidel iteration methods majorly. Everything here is a numpy array, so be sure to input the proper type if you do not want errors. You can check the documentation by using help(NA_Matrix).

Poynomial

import:

import sem2.NA_Polynomial as nap

bisection, newtonRapson, fixed_point, secant -> all of them use the inbuilt functions of the python. example:

def f(x):
    return x**2 -1 

or you could use lambda's:

f = lambda x: x**2 -1 

The Interpolation functions, simple_interpolation, newton_interpolation, newton_error, legrange_interpolation use sympy functions.

example of making sympy functions:

import sympy

x = sympy.symbols('x')

f = x**2 - 1
# You can pass this function in the required places.
# There are also other inbuilt functions in sympy.
g = sympy.sin(x)
h = sympy.exp(x)

Integration

import

import sem2.NA_Integration as nai

trapezoidal_rule, trapezoidal_error, simpson_rule, simpson_error are the functions present here. The same sympy functions are used here.

Author Details

Yelisetty Karthikeya S M (A.K.A. Lurkingryuu)
contact: Gmail