This quiz must be submitted in Gradescope by 12:00pm CST on Tuesday, April 6, 2021.
This quiz covers matplotlib, as discussed in Lectures 28-29.
Quizzes are INDIVIDUAL, closed book (except where noted below), and only allow access to specified resources. For this quiz you can access:
There are two problems on this quiz, numbered 2 and 3. The point breakdown is:
| Points | Item |
|---|---|
| 3 | autograder |
| 4 | problem 2 |
| 4 | problem 3 |
| 11 | total |
Here is a table showing yearly values for two quantities from 1996 to 2008.
| year | math PhDs | uranium |
|---|---|---|
| 1996 | 1122 | 1060 |
| 1997 | 1123 | 1054 |
| 1998 | 1177 | 1052 |
| 1999 | 1083 | 933 |
| 2000 | 1050 | 877 |
| 2001 | 1010 | 890 |
| 2002 | 919 | 856 |
| 2003 | 993 | 730 |
| 2004 | 1076 | 923 |
| 2005 | 1205 | 1035 |
| 2006 | 1325 | 1240 |
| 2007 | 1393 | 1300 |
| 2008 | 1399 | 1310 |
In this table,
Use matplotlib to plot the variation of both quantities on the same set of axes (with the x axis showing the year). Each quantity should be shown as a line with dots marking the individual data points. PhDs and stored uranium should be shown in different colors. Include a legend.
The code in the cell below can be used to save some typing---it has the two rightmost columns of the table above converted to list literals.
Upload two files for this problem:
quiz11prob2.py: The script you wrote to make the plotquiz11prob2.png or quiz11prob2.jpg: An image file that shows the plot produced by your script, which can be saved by matplotlib or captured as a screenshot.Note: The image and script you submit must match, i.e. the image must be one that was created with the exact script you submit.
Data source for this problem: US NSF and US DOE via tylervigen.com
# annual data for 1996 to 2008
math_phds_awarded = [1122, 1123, 1177, 1083, 1050, 1010, 919, 993, 1076, 1205, 1325, 1393, 1399]
stored_uranium_Moz = [1060, 1054, 1052, 933, 877, 890, 856, 730, 923, 1035, 1240, 1300, 1310]
Use matplotlib to make a density plot of the region in the xy plane where $0 \leq x \leq 5$ and $0 \leq y \leq 5$, where each pixel is colored according to the value of the function $$ f(x,y) = \sin( \sin( \sin( \sin( \cdots \sin(xy - x^2) \cdots )))) $$ where there are a total of 100 nested copies of the $\sin$ function. Use a 50x50 grid of points to make the plot.
(Hint: in discussion last week you used matplotlib to make a density plot of escape rates for quadratic polynomials of a complex variable in order to visualize Julia sets. That code might be a good starting place for your work here, but this question doesn't use complex numbers at all.)
Upload two files for this problem:
quiz11prob3.py: The script you wrote to make the plotquiz11prob3.png or quiz11prob3.jpg: An image file that shows the plot produced by your script, which can be saved by matplotlib or captured as a screenshot.Note: The image and script you submit must match, i.e. the image must be one that was created with the exact script you submit.