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BRACU_MAT120_Lab-Lectures

MAT120 - Integral Calculus & Co-ordinate Geometry [CSE,BRACU]
Language: Python
IDE: Google Colab / Jupiter Notebook
Semester: Summer 2023
Lab Faculty: Md Zahidul Islam Laku

Project

Check this repository
MAT120 Project

Lectures And Topics:

Lecture - 1

Topic: [Python Basics]
Introduction to Python

Lecture - 2

Topics: [Sympy basics]
i) Writing expressions
ii) Plotting
iii) Finding maxima-minima

Lecture - 3

Topics: [Maxima minima in detail]
i) Maxima-Minima
ii) Solveset()
iii) Function of sympy
iv) Ignoring imaginary solutions

Lecture - 4

Topics: [Integration]
i) Integration without limits
ii) Definite integral
iii) Improper Integral
iv) Numerical integration

Lecture - 5

Topics: [Differential equations in sympy]
i) Solving Differential Equation
(First order, Second order, Intial value problem)

Lecture - 6

Topic: [Mathematical modelling]
i) Solving system of differential equations
(Scipy odeint and sympy)

Lecture - 7

Topic: [Numerical differention]
i) Euler method for solving differential equations

Lecture - 8

Topics: [Numerical integration]
i) Trapezoidal Rule
ii) Monte Carlo Simulation