# 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.

• First Name:

• Last Name:

• Email:

## Problem 1 - Python as a calculator¶

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

# Your code here


## Problem 2 - Python types¶

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))