PHGN-350 Fall-2011

Revision as of 17:45, 20 September 2011

Course Information

Instructor: P. David Flammer Office: MH447A Office Hours: TBA

Course Announcements and Links

1. Exam 1 will be in class on 9/30/2011. It will be a 1 hour test, but I will allow people to stay until 12:30 to finish it.
2. Exam 2 will be in class on 11/11/2011 (Note this changed from 11/16). Again,it will be a 1 hour test, but I will allow people to stay until 12:30 to finish it.
3. Here's a nice Mathematica tutorial made by Zach Boerner: media:mathematicaHelp.nb

Course Material

Syllabus

These downloads require Adobe Acrobat Reader Syllabus

Homework

1. Problem set 1 due Friday, 9/2:
   1. Register your iclicker at http://iclicker.com/support/registeryourclicker/
   2. Send me (pflammer@mines.edu) an email with a picture of yourself, and a paragraph description of who you are. This will give me a hope of knowing who you are by the end of the semester.
   3. Do the following problems: Thornton 2.6, 2.8, 2.13, 2.14, 2.15, 2.22; Solutions: media:350-fa11-HW1Soln.pdf
2. Problem set 2 due Friday 9/9:
   1. Solve the following analytical problems: Thornton 2.25 (except part (d)), 2.28, 2.42; Solutions: media:350-fa11-HW2Soln.pdf
   2. Do the following numerical problem: media:350-fa11-NHW1.pdf; Solution: media:350-fa11-NHW1Soln.pdf
      1. Some guidance: We would like you to discretize the integral equations in order to solve this. For instance, a_y=a_y(y,v_y). You know y_0 and v_y0. If you break the problem up into very small time steps dt's, then at time dt v_y(dt)=v_y0+a_y(y_0,v_y0)*dt. Then y(dt)=y_0+v_y0*dt+1/2*a_y(y_0,v_y0)*dt^2. If your dt is small enough, you can even neglect the last term. To get the next time step, you do the same thing again. v_y(2*dt)=v_y(dt)+a_y(y(dt),v_y(dt)) and y(2*dt)=y(dt)+v_y(dt)*dt+1/2*a_y(y(dt),v_y(dt))*dt^2. To get it the stuff at 3*dt, you repeat. Put this into a Do loop or a For loop, and you can do this out to infinity and beyond (not really).
3. Problem set 3 due Friday 9/16:
   1. Do the following problems: Thornton 3.1, 3.2, 3.7, 3.11, 3.13, 3.14; Solutions: media:350-fa11-HW3Soln.pdf
4. Problem set 4 due Friday 9/23:
   1. Solve the following analytical problems: Thornton 3.18, 3.28, 3.38
   2. Do the following numerical problem: media:350-fa11 NHW2.pdf
      1. Note: Use the same shooting method as above.
      2. Note 2: Read through the whole thing before you start programming! I would use the solution from NHW1 as a guide of how to program it. If you do the plots and the module the way it's done there, this will go pretty fast.

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Lecture Notes

These downloads require Adobe Acrobat Reader Lecture 1 Lecture 2 Lecture 3 (in y(t) at bottom middle: exp(-kt) should be (1-exp(-kt)) Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12