1.7 KiB
| title | allDay | date | endDate | completed | type |
|---|---|---|---|---|---|
| Homework 1 | true | 2024-09-18 | 2024-09-19 | false | single |
Instructions
Please do a written solution for problems 1 and 2. We will review them on Monday, Sept 16 in class prior to the assignment being due.
Please upload a Jupyter Notebook for problems 3 and 4.
Problems 1 and 2 are worth 10 points each, problems 3 and 4 are worth 15 points each.
Written Problems
Problem 1
Please find the general solution of
\bf{\dot{X}} =
\begin{bmatrix}
-1 & 5 & 2\\
4 & -1 & -2\\
0 & 0 & 6
\end{bmatrix}
\bf{X}
Problem 2
Please find the general solution of
\bf{\dot{X}} =
\begin{bmatrix}
-6 & 5 \\
-5 & 4 \\
\end{bmatrix}
\bf{X}
Python Problems
Problem 3
The Archimedes Spiral can be plotted by taking all the positive whole numbers (e.g.j = 0, 1, 2, 3, 4, 5, ...) and putting them into the format n = (j,j) , and plotting them in polar coordinates where the first term, n_1, is the radius, and the second term, n_2, is the angle in radians.
Part A
You need to plot the first 1000 terms in a scatter plot. In addition, we would like to only look at the top right quadrant! What you're going for is shown in Figure 1.
Part B
You need to plot the first 25 terms, looking at th eentire polar plot (all quadrants, and then, put a smooth line through it. What you're going for is shown in Figure 2.) Hint: This will be a useful reference
Documentation
- [<] ME2016-HW1 📅 2024-09-18
- [<] Problem 1 ⏳ 2024-09-16
- [<] Problem 2 ⏳ 2024-09-16
- [<] Problem 3
- [<] Part A ⏳ 2024-09-16
- [<] Part B ⏳ 2024-09-16
- [<] Problem 4
- [<] Part B ⏳ 2024-09-16