Dr. Girish D. Shelake - Python

CCPM VI : Mathematical Computation Using Python

1. Introduction to Python:

Installation video link: https://youtu.be/F3vjAXYoG5M

Anaconda distribution link: https://www.anaconda.com/products/individual#Downloads

2. Expression and operators:

File handling .txt file used in this program, Expt2 (Save this file in the same working directory)

3. Conditional Statements:

if loop , if-else loop, if-elif-else loop, nested if, try and except, solved ex.1, solved ex.2

4. Looping Statements, Control statements:

for loop, while loop, continue statement, break statement, pass statement

5. Functions:

square of n, factorial of n, lambda function, global, local, non-local variables

6. Modules and packages in Python :

Relatively primes, Euler's formula , unit circle

7. Python Data structure:

Strings , String slicing , String indexing , String assigning fails , String concatenate , String upper lower , String palindrome , List operations , List unique elements , tuple operations, Set operations , Array operations , Dictionary

8. Operations on set and array:

Set operations , Set algebraic operations

9. Systems of linear algebraic equations:

LU decomposition, Gauss elimination

10. Roots of Equations:

Bisection, Newton Raphson

11. Initial Value Problems:

Euler, Euler Modified, RK2, RK4

12. Magic square and Area calculation without measurement:

Magic square, Create image for area calculation, Area calculation without measurement

13. Graph Theory : Networkx

Graph, Directed graph, Page rank by random walk

14. Collatz conjecture and Monty Hall problem

Collatz conjecture, Monty Hall problem

15. Data compression using Numpy

Image compression, Monalisa.png, Image compression printed arrays

16. Data visualization in Python:

Line plot, scatter plot, histogram, Pie chart, 3D surface plot , stack plot, Mandelbrot set

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