https://dananne.org/dw/ 2026-05-06T06:12:21+00:00 https://dananne.org/dw/ https://dananne.org/dw/lib/tpl/codowik/images/favicon.ico text/html 2012-08-14T06:00:51+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-1&rev=1344949251&do=diff Homework * Log on to RStudio to verify that your account is working. Optionally, you may install R and RStudio on your own computer. * Plot $y = \cos(3t)$ using RStudio on the interval $[-6, 6]$. Print the resulting graph. text/html 2012-08-20T11:19:56+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-2&rev=1345486796&do=diff Homework Section 1.2: 1, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21 text/html 2012-08-26T07:00:10+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-3&rev=1345989610&do=diff Homework Section 1.3: 7, 8 text/html 2012-08-26T06:59:52+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-4&rev=1345989592&do=diff Homework Section 1.4: 1, 2, 3, 4, 5, 7, 9, 11, 13, 16, 17, 18 text/html 2012-08-27T18:50:17+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-5&rev=1346118617&do=diff Homework Section 1.5: 1, 3, 4, 6, 7, 8, 9 text/html 2012-09-02T08:32:42+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-7&rev=1346599962&do=diff Homework Section 1.9: 3, 4, 5, 6, 7, 9, 11, 13, 15, 17, 19 text/html 2012-09-06T06:07:24+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-8&rev=1346936844&do=diff Mathematics 255 - Fall 2012 Homework Section 1.10: 1, 2, 3, 18 (should be $a < 1$), 19 text/html 2012-09-08T15:48:49+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-9&rev=1347144529&do=diff Mathematics 255 Homework Section 1.13 (page 100): 1, 2, 3, 4, 5, 6 (Note: In R, $\pi$ is “pi”.) Plot the solution in each case. You should also practice doing a few steps of Euler's method without R. text/html 2012-09-11T06:44:42+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-10&rev=1347371082&do=diff Mathematics 255 - Fall 2012 Homework Section 1.15: 1, 2, 3, 4, 5, 6 Plot the solution in each case. You should also practice doing a few steps of the improved Euler method without R. text/html 2012-09-12T18:56:57+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-11&rev=1347501417&do=diff Mathematics 255 - Fall 2012 Homework Section 1.16: 1, 2, 3, 4, 5, 6 Plot the solution in each case. You should also practice doing a few steps of the Runge-Kutta method without R. In addition, try these problems using the R ode command. text/html 2012-09-16T12:59:15+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-12&rev=1347825555&do=diff Mathematics 255 - Fall 2012 Homework Section 2.1: 1, 3 text/html 2012-09-23T07:37:50+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-13&rev=1348411070&do=diff Mathematics 255 - Fall 2012 Homework Section 2.1: 5, 7, 9, 11, 12, 13, 15, 16 text/html 2012-09-25T05:58:28+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-14&rev=1348577908&do=diff Mathematics 255 - Fall 2012 Homework Section 2.2 (page 140): 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12 Section 2.2.1 (page 144): 1, 2, 3, 4, 5, 6, 10, 17, 18, 19 text/html 2012-09-27T09:02:28+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-15&rev=1348761748&do=diff Mathematics 255 - Fall 2012 Homework Section 2.2.2 (page 149): 1, 2, 3, 4, 11, 13, 15, 18, 19, 20 text/html 2012-09-29T14:15:50+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-16&rev=1348953350&do=diff Mathematics 255 - Fall 2012 Homework Section 2.4: 1, 2, 3, 4, 5, 6, 7, 8, 9 text/html 2012-10-02T05:45:04+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-17&rev=1349181904&do=diff Mathematics 255 - Fall 2012 Homework Section 2.5: 5, 13 text/html 2012-10-03T11:16:34+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-18&rev=1349288194&do=diff Mathematics 255 - Fall 2012 Homework Section 2.5: 1, 2, 3, 4, 6, 7, 9, 11, 14 text/html 2012-10-09T09:44:24+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-19&rev=1349801064&do=diff Mathematics 255 - Fall 2012 Homework Section 2.6: 1, 2, 3, 4, 5, 8, 13 text/html 2012-10-17T09:44:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-20&rev=1350492249&do=diff Mathematics 255 - Fall 2012 Homework Use power series find the general solution of $\dfrac{dy}{dt} = ay$, where $a$ is a constant. Verify that this agrees with our previous solutions for this equation. Section 2.8: 1, 2, 3, 4, 7 text/html 2012-10-21T12:52:30+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-21&rev=1350849150&do=diff Mathematics 255 - Fall 2012 Homework Section 2.8: 9, 11, 12 text/html 2012-10-23T09:48:42+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-22&rev=1351010922&do=diff Mathematics 255 - Fall 2012 Homework Section 2.8.1: 1, 5, 7, 9 Section 2.8.2: 1, 3, 5 text/html 2012-10-28T09:29:15+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-23&rev=1351441755&do=diff Mathematics 255 - Fall 2012 Homework Section 2.8.2: 7, 9, 11, 19, 23, 25 text/html 2012-10-30T05:40:08+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-24&rev=1351600808&do=diff Mathematics 255 - Fall 2012 Homework Section 3.1: 1, 3, 7, 9 text/html 2012-11-01T05:54:25+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-25&rev=1351774465&do=diff Mathematics 255 - Fall 2012 Homework Section 3.4: 5, 6, 7, 9, 10, 11 text/html 2012-11-04T06:31:23+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-26&rev=1352039483&do=diff Mathematics 255 - Fall 2012 Homework Section 3.8: 1, 2, 3, 4, 5, 7, 9, 11, 14 text/html 2012-11-06T15:32:43+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-27&rev=1352244763&do=diff Mathematics 255 - Fall 2012 Homework Section 3.9: 1, 2, 3, 4, 5, 6 ,7, 8 text/html 2012-11-08T05:23:22+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-28&rev=1352381002&do=diff Mathematics 255 - Fall 2012 Homework Section 3.10: 10, 17 text/html 2012-11-15T06:01:45+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-29&rev=1352988105&do=diff Mathematics 255 - Fall 2012 Homework Section 3.10: 1, 2, 3, 5, 7, text/html 2012-11-16T11:05:36+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-30&rev=1353092736&do=diff Mathematics 255 - Fall 2012 Homework Section 2.9: 1, 2, 5, 9, 15, 16, 17, 19, 23 text/html 2012-11-25T09:48:25+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-31&rev=1353865705&do=diff Mathematics 255 - Fall 2012 Homework Section 2.10: 3, 4, 5, 9, 10, 11, 13, 15, 19, 21, 22, 23 For Problem 19: Note that $\displaystyle{\frac{1}{(s^2+1)^2} = \frac{1}{2}\left(\frac{d}{ds}\left(\frac{s}{s^2+1}\right) + \frac{1}{s^2+1}\right).}$ Or you can use: $\displaystyle{\frac{1}{(s^2+1)^2} = \frac{1}{(s^2+1)^2} - \frac{s^2}{(s^2+1)^2} + \frac{s^2}{(s^2+1)^2}}$ $\displaystyle{= \frac{1}{(s^2+1)^2} - \frac{s^2}{(s^2+1)^2} + \frac{1}{s^2+1} - \frac{1}{(s^2+1)^2}}$ text/html 2012-11-27T06:15:50+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-f12-hw:hw-32&rev=1354025750&do=diff Mathematics 255 - Fall 2012 Homework Section 2.11: 1, 3, 5, 7, 9