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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

Which of the following will compute second derivative of the function `f` with respect to `x`?

*Note: This question can have mutiple answers.*

Which of the following will compute second derivative of the function <code>f</code> with respect to <code>x</code>?
Note: This question can have mutiple answers.

The function $f(x, y)$ is given by:
$$f(x, y) =y^3x^3 + x^4y^2$$ 

$\frac{\partial^3 f}{\partial x^2 \partial y}$ can be computed using:

*Note: This question can have mutiple answers.*

The function <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo separator="true">,</mo><mi>y</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">f(x, y)</annotation></semantics></math>f(x,y) is given by:
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo separator="true">,</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><msup><mi>y</mi><mn>3</mn></msup><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>x</mi><mn>4</mn></msup><msup><mi>y</mi><mn>2</mn></msup></mrow><annotation encoding="application/x-tex">f(x, y) =y^3x^3 + x^4y^2
</annotation></semantics></math>f(x,y)=y3x3+x4y2
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mrow><msup><mi mathvariant="normal">∂</mi><mn>3</mn></msup><mi>f</mi></mrow><mrow><mi mathvariant="normal">∂</mi><msup><mi>x</mi><mn>2</mn></msup><mi mathvariant="normal">∂</mi><mi>y</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{\partial^3 f}{\partial x^2 \partial y}</annotation></semantics></math>∂x2∂y∂3f​ can be computed using:
Note: This question can have mutiple answers.

 For improper integrals in SymPy, we use the `oo` symbol for infinity.

For improper integrals in SymPy, we use the <code>oo</code> symbol for infinity.

For definite integrals, we use ____ or _____ for providing limits of integration.

For definite integrals, we use ____ or _____ for providing limits of integration.

The direction of limit cannot be specified.

The direction of limit can be specified using which of the optional argument?

The direction of limit can be specified using which of the optional argument?

A short quiz to test your understanding of differentiation, integration, and limits.

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 7!