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

`quad()` returns a tuple with the first value being the numerical result and the second is the estimation of the numerical error in the result.

<code>quad()</code> returns a tuple with the first value being the numerical result and the second is the estimation of the numerical error in the result.

In SciPy namespace, we use `oo` to refer to inifinity. 

In SciPy namespace, we use <code>oo</code> to refer to inifinity.

```python 3
def f(x, y, z):
  return(x * y**2 * z**3 )

tplquad(f, 0, 1, lambda y : 0, lambda y : 2, lambda y, z : 0, 
        lambda y, z : 3)
```

```python 3
def f(z, x, y):
  return(x * y**2 * z**3 )
 
x = tplquad(f, 0, 1, lambda y : 0, lambda y : 2, lambda z : 0, 
        lambda z : 3)
```

```python 3
def f(z, y, x):
  return(x * y**2 * z**3 )

tplquad(f, 0, 1, lambda y : 0, lambda y : 2, lambda y, z : 0, 
        lambda y, z : 3)
```

```python 3
def f(x, y, z):
  return(x * y**2 * z**3 )
 
x = tplquad(f, (x, 0, 1),(y, 0, 2), (z, 0, 3)) 
```

Which of the following is the correct SciPy implementation of the integral given below?

$$\int_0^3\int_0^2\int_0^1x y^2 z^3\space dxdydz$$

Which of the following is the correct SciPy implementation of the integral given below?
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><msubsup><mo>∫</mo><mn>0</mn><mn>3</mn></msubsup><msubsup><mo>∫</mo><mn>0</mn><mn>2</mn></msubsup><msubsup><mo>∫</mo><mn>0</mn><mn>1</mn></msubsup><mi>x</mi><msup><mi>y</mi><mn>2</mn></msup><msup><mi>z</mi><mn>3</mn></msup><mtext> </mtext><mi>d</mi><mi>x</mi><mi>d</mi><mi>y</mi><mi>d</mi><mi>z</mi></mrow><annotation encoding="application/x-tex">\int_0^3\int_0^2\int_0^1x y^2 z^3\space dxdydz
</annotation></semantics></math>∫03​∫02​∫01​xy2z3 dxdydz

The third argument of the `interp1d()` function determines the type of interpolation.

The third argument of the <code>interp1d()</code> function determines the type of interpolation.

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In the next lesson, we will learn about polynomial fitting.

A short quiz to test your understanding of the concepts learned so far.

Introduction

Python Refresher

Arrays

Plotting

Systems of Linear Equations

Symbolic Computation

Scientific Algorithms

Random Variables

Applications

Conclusion

Appendix

Python for Scientists and Engineers Exam

Quiz 9!