Exercises#

After completing the tutorial attempt the following exercises.

If you are not sure how to do something, have a look at the “How To” section.

  1. Use the REPL (read eval print loop) to carry out the following calculations:

    1. \(3 + 8\)

    2. \(3 / 7\)

    3. \(456 / 21\)

    4. \(\frac{4 ^ 3 + 2}{2\times 5} - 5 ^ {\frac{1}{2}}\)

  2. Install the Python plugin for VScode.

  3. Use the command line and a python script written in VScode to solve the following problems:

    1. Find the solutions to the following equation: \(x ^ 2 - 3 x + 2 = 1\).

    2. Differentiate the following function: \(f(x) = \cos(x) / 4\)

    3. Find the determinant of \(A = \begin{pmatrix} 1 / 5 & 1\\1 & 1\end{pmatrix}\).

    4. Count the number of ways of picking 2 letters from “ABCD” where order does not matter.

    5. Simulate the probability of picking a red token from a bag with 3 red rokens, 5 blue tokens and a yellow token.

    6. Obtain the first 5 terms of the sequence defined by:

      \[\begin{split} \left\{ \begin{array}{l} a_0 = 0,\\ a_1 = 2,\\ a_n = 3 a_{n - 1} + a_{n - 2}, n \geq 2 \end{array} \right. \end{split}\]

  4. Install the Markdown all in one plugin for markdown in VScode and then:

    1. Create a new file main.md.

    2. Write some basic markdown in it.

    3. Use the plugin to preview the rendered markdown.