Gain insights into Python for scientific computing. Explore arrays, plotting, linear equations, and algorithms using NumPy, Matplotlib, SciPy. Delve into applying tools with practical exercises.

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Python3

If you're a scientist or an engineer interested in learning scientific computing, this is the place to start.

In this course, you'll learn to write your own useful code to perform impactful scientific computations. Along the way, your understanding will be tested with periodic quizzes and exercises.

Topics covered in this course include arrays, plotting, linear equations, symbolic computation, scientific algorithms, and random variables. You’ll also be exposed to popular Python packages like NumPy, Matplotlib, SciPy, and others. In the last part of the course, the application section will test your ability to recall and apply the tools you have studied into newly learned scientific concepts.

At the end of this course, you'll be equipped with the tools necessary for everyday scientific computation.

Python for Scientists and Engineers

import numpy as np
import matplotlib.pyplot as plt

# defining function with default paramters value
def pendulum(t, A=1, f=100, p=0, d=0.05):
  return (A * np.sin (2 * np.pi * f * t + p) * np.exp(-1 * d * t))

# creating array for time
t = np.linspace(0, 2 * np.pi, 1000)
x_t = pendulum(t, 1, 2, 0, 0.5)

# plotting and setting labels
plt.figure(figsize=(12, 9), dpi=200)
plt.plot(t, x_t)

# setting labels
plt.title('Damped Pendulum')
plt.xlabel('t')
plt.ylabel('x(t)')

# saving figure
plt.savefig('output/harmonograph1.png')

## Explanation
* In lines 5 - 6, we have defined the function `pendulum()` and set the default values for `A`, `f`, `p`, and `d`.

* In line 9, we have created an array for time `t`.

* In line 10, we have used custom arguments for the `pendulum()` function to generate data for a pendulum moving along the x-axis. 

* In lines 13 - 14, we are plotting the motion of the pendulum `x_t` against time `t`.


# Solution 2

We have to plot the following equations:
$$x(t)=2sin(8\pi t -1)e^{-0.05t}+sin(4\pi t -\frac{\pi}{2})e^{-0.01t}$$

$$y(t)=2sin(4\pi t -\frac{\pi}{3})e^{-0.02t}+ 2sin(4\pi t - \pi)e^{-0.25t}$$

$t$ is in the range $0\leq t<20\pi$ with $40,000$ values.

Solution review to the harmonographs exercise. 

Introduction

Python Refresher

Arrays

Plotting

Systems of Linear Equations

Symbolic Computation

Scientific Algorithms

Random Variables

Applications

Conclusion

Appendix

Python for Scientists and Engineers Exam

Solution Review: Harmonographs

Solution 1 #

Explanation #

Solution 2