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

# Task
In this exercise, you will fit a wave by finding the unknown parameters of the equation 

$$y=a\space sin(\pi t)+b\space sin(2\pi t)+c\space sin(3\pi t)+d\space sin(4\pi t)$$

using the data:

$(t_0, y_0)=(0.25, 3)$

$(t_1, y_1)=(0.5, 2)$

$(t_2, y_2)=(0.75, -3)$

$(t_3, y_3)=(1, 0)$

## Problem statement

By substituting the values given above, form a system of four linear equations and solve for the unknown parameters: $a, b, c$ and $d$

Create a plot of the wave for $t$ going from $0$ to $1$. Show the four measurements given above with dots. Add legends to your graphs as well.

A basic structure of the code is given to get you started.

In this exercise, you will find the parameters of an unknown equation by solving a system of linear equations.

Introduction

Python Refresher

Arrays

Plotting

Systems of Linear Equations

Symbolic Computation

Scientific Algorithms

Random Variables

Applications

Conclusion

Appendix

Python for Scientists and Engineers Exam

Exercise: Fitting a Wave

Task