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

Until now, we have been learning to make 2-D plots in Python using the `matplotlib` package. 3-D plotting is similar except for a few additional commands that we will learn in this lesson. 

# 3-D line plots

Consider the $x, y, z$ coordinates of a three-dimensional spiral

$$x(t)=a\space cos(t)$$
$$y(t)=a\space sin(t)$$
$$z(t)=bt$$

where $a$ and $b$ are constants and $t$ is a parameter that varies. Write a Python function that takes $a$, $b$, and an array $t$ as input arguments and returns arrays $x$, $y$, and $z$.

For 3-D plots, we import the 3-D plotting capabilities of `matplotlib` with the 
command 
```python 3
from mpl_toolkits.mplot3d import Axes3D
``` 
To plot a three-dimensional curve, specify the keyword `projection='3d'` when creating the axis. We can then plot on that axis using `ax.plot` by specifying $x, y,$ and $z$. 

We will be plotting two spirals on the same graph. Using $a=4$ and $b=1$ for the first spiral, and $a=2$, $b=2$ for the second spiral; vary $t$ from $0$ to $20$ with $100$ points.

This lesson discusses line plots and surface plots as part of the 3-D plots in Python.

Introduction

Python Refresher

Arrays

Plotting

Systems of Linear Equations

Symbolic Computation

Scientific Algorithms

Random Variables

Applications

Conclusion

Appendix

Python for Scientists and Engineers Exam

3-D Plots

3-D line plots