Learn Python in Malayalam|Chapter 14 | How to find differentiation in python
This is the 14th video on Learn python in Malayalam. This video clearly explains below topics,
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Topics covered in this video
Chapter 14 assignment discussion - 00:31
differentiation in python - 01:16
power rule - 01:31
product rule - 03:36
multi-variable function - 05:10
first order differential equation response - 07:19
chapter 14 assignment - 11:09
Program used
Program for power & product rule
import sympy as sym
x = sym.Symbol('x')
f = x**5+3*x
f = ((x**2)+1)*sym.cos(x)
f_prime = sym.diff(f)
print(f_prime)
program for multi variable function
import sympy as sym
x,y = sym.symbols('x y')
f = (x**4)*y
f_prime = sym.diff(f,y)
print(f_prime)
#program fro first order differential equation
import numpy as np
from scipy.integrate import odeint
import matplotlib.pyplot as plt
function that returns dx/dt
def model(x,t):
k = .5
dxdt = -k * x
return dxdt
initial condition
x0 = 5
time points
t = np.linspace(0,20)
solve ODE
x = odeint(model,x0,t)
plot results
plt.plot(t,x,label="K=0.5")
plt.title("First order Differential equation response")
plt.xlabel('time')
plt.ylabel('x')
plt.legend()
plt.show()
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Learn Python in Malayalam Playlist:
• Learn Python in Malayalam
Chapter 1 - • Learn Python in Malayalam | For Ultim...
Introduction to programming
Introduction to Python
Introduction to Google Co-lab
How to setup Google Co-lab
Chapter 2 - • Learn Python in Malayalam | Chapter 2...
Python Identifiers
Lines and Indentation
Multi-Line Statements
Chapter 3 - • Learn Python in Malayalam | Chapter 3...
Quotation in python
Comments in python
Assigning values to variable
Chapter 4 - • Learn Python in Malayalam | Chapter 4...
Data types
Numbers
Strings
Chapter 5 - • Learn Python in Malayalam | Chapter 5...
Data types
Lists
Tuple
Dictionary
Chapter 6 - • Learn Python in Malayalam | Chapter 6...
Decision making
if condition
if .. else condition
Nested if
Chapter 7 - • Learn Python in Malayalam|Chapter 7| ...
Loops in Python
while loop
for loop
nested loop
Chapter 8 - • Learn Python in Malayalam | Chapter 8...
Functions in python
arguments in function
Multiple arguments in function
Arbitrary arguments in function
Return value in function
Chapter 9 - • Learn Python in Malayalam | Chapter 9...
Classes in python
Defining a class
Creating an object
Constructors in python
Chapter 10 - • Learn Python in Malayalam |Chapter 10...
Matrix in python
Defining matrix in python
Matrix addition
Matrix multiplication
Transpose of a matrix
Inverse of matrix
Rank & eigen values of matrix
Chapter 11 - • Learn Python in Malayalam|Chapter 11 ...
Plotting in Python
Line Plot
Stem Plot
Bar Plot
Scatter Plot
Box Plot
Histogram
Multiple Plot, Subplot, plot within plot
Chapter 12 - • Learn Python in Malayalam|Chapter 12|...
File handling in python
Generate file data
Save the data in a variable
write data to a csv file
read from the csv file
plotting the data from the scv file
standard deviation & mean of data
location of the saved file
Chapter 13 - • Learn Python in Malayalam | Chapter 1...
System linear equation solution
Example with explanation
Program for solving linear equation
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https://www.python.org/
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https://www.w3schools.com/
https://towardsdatascience.com/taking...
ECL 201 SCIENTIFIC COMPUTING LABORATORY
Experiment 4. Numerical Didifferentiation and Integration
1. Realize the functions sin t, cos t, sinht and cosht for the vector t =
[0; 10] with increment 0:01
2. Compute the first and second derivatives of these functions using built
in tools such as grad.
3. Plot the derivatives over the respective functions and appreciate.
4. Familiarize the numerical integration tools in the language you use.
5. Realize the function
f(t) = 4t2 + 3
and plot it for the vector t = [5; 5] with increment 0:01
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