Homework 1¶

Type your name and email in the “Student details” section below.
Develop the code and generate the figures you need to solve the problems using this notebook.
For the answers that require a mathematical proof or derivation you can either:
- Type the answer using the built-in latex capabilities. In this case, simply export the notebook as a pdf and upload it on gradescope; or
- You can print the notebook (after you are done with all the code), write your answers by hand, scan, turn your response to a single pdf, and upload on gradescope.
The total homework points are 100. Please note that the problems are not weighed equally.

Note

This is due before the beginning of the next lecture.
Please match all the pages corresponding to each of the questions when you submit on gradescope.

Student details¶

Use Python to evaluate the following expression: $$ \frac{\sin(\pi/3)e^{-2}}{23^2}. $$

# Your code here

Find the type of the following Python variables. You may use Python’s capabilities to find the type. You don’t have to guess it.

x = 4

y = 23.5

z = 4 / 3.1

a = (1, 2, 4)

b = [3, 4, 6]

c = x > 2

d = 'Hello there!'

e = {'Name': 'Ilias Bilionis', 
     'Phone number': 2106012119,
     'Zip code': 47906}

import numpy as np
f = np.zeros((10, 4))