Matplotlib Course For Beginners with Projects
In this course we are going to learn how to plot various graph in matplotlib.pyplot using python
Assumption:
Simple Test base on Matplotlib
Plot a Circle in Python
- You are using Jupyter Notebook
- You already have installed all dependencies used in this course (now by default all the dependecies are installed just in case if it not installed type pip install matplotlib in jupyter cell and run [note first try to run the code if its not work then try to install it]).
- You have basic knowledge of python
- Project list below (Mostly 2d and 3d project related to mechanical eginnering )
- Simple Graph Plottingimport matplotlib.pyplot as pltx = [1,5,6,7,8]y = [8,4,5,2,3]plt.plot(x,y)
- MultiLine Plotsimport matplotlib.pyplot as pltx = [1,2,3,4]y = [9,8,7,4]x1 = [4,5,6,7]y1 = [9,6,3,4]plt.plot(x,y,x1,y1)
- Grid , Axis and adding Labelsimport matplotlib.pyplot as pltx = [1,5,6,7,8]y = [8,4,5,2,3]plt.plot(x,y)plt.grid(True)import matplotlib.pyplot as pltx = [1,5,6,7,8]y = [8,4,5,2,3]plt.plot(x,y)plt.grid(True)plt.axis([-1,10,0,15])import matplotlib.pyplot as pltx = [1,5,6,7,8]y = [8,4,5,2,3]plt.plot(x,y)plt.xlabel("x-axis")plt.ylabel("y-axis")plt.title("Simple Graph")plt.grid(True)plt.axis([-1,10,0,15])
- Legend import matplotlib.pyplot as pltimport numpy as npt = np.linspace(1,10,10)plt.plot(t,t**2,label="square")plt.plot(t,t,label="linear")plt.legend()
- Styling in Graphimport matplotlib.pyplot as pltimport numpy as npt = np.linspace(1,10,10)plt.plot(t,t**2,'#E7429B',label="square")plt.plot(t,t,'b',label="linear")plt.legend()import matplotlib.pyplot as pltimport numpy as npt = np.linspace(1,10,10)plt.plot(t,t**2,'--',label="square")plt.plot(t,t,'-.',label="linear")plt.legend()
- Scatter Plotimport matplotlib.pyplot as pltimport numpy as npN = 100colors = np.random.rand(N)x = np.random.rand(N)y = np.random.rand(N)scale = (10*x*y)plt.scatter(x,y, s= scale , c = colors)
- Pie Chartimport matplotlib.pyplot as pltx = [20,30,50,60]y = ["milk","fish","cake","chips"]plt.pie(x,labels=y)import matplotlib.pyplot as pltx = [20,30,50,60]y = ["milk","fish","cake","chips"]explode = [0,0,0.3,0]plt.pie(x,labels=y ,explode = explode)
Simple Test base on Matplotlib
simple Sin Graph plotting
import matplotlib.pyplot as pltimport numpy as npplt.figure(figsize=(10,10))t = np.linspace(0,360,360)x = np.sin(np.radians(t))plt.grid('on')plt.plot(t,x)
![](data:image/png;base64,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)
Plot a Circle in Pythonimport matplotlib.pyplot as plt
import numpy as np
plt.figure(figsize=(10,10))
t = np.linspace(0,360,360)
x = np.sin(np.radians(t))
plt.grid('on')
plt.plot(t,x)
![](data:image/png;base64,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)
import matplotlib.pyplot as plt
import numpy as np
plt.figure(figsize=(10,10))
t = np.linspace(0,360,360) # theta
r = 10 # radius
x = r*np.sin(np.radians(t))
y = r*np.cos(np.radians(t))
plt.xlabel('x-axis')
plt.ylabel('y-axis')
plt.title('Circle ')
plt.grid('on')
plt.plot(x,y)
plt.axis('equal')
Simple Spiral Graph Plotting in Python matplotlib.pyplot
import matplotlib.pyplot as plt
import numpy as np
plt.figure(figsize=(10,10))
t = np.linspace(0,1080,360) # theta
r = np.linspace(0,1080,360) # radius
x = r*np.sin(np.radians(t))
y = r*np.cos(np.radians(t))
plt.grid('on')
plt.plot(x,y)
plt.axis('equal')
![](data:image/png;base64,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)
Project Code Link :
3d Graph animation Code Link : https://www.engineerknow.com/2021/09/3d-interactive-graph-animation-in.html
0 Comments
if you are not getting it then ask i am glad to help