Exam 1 Grading Rubric

[goodwine]

20 points each.

"Double jeopardy" usually does apply, but in an attenuated way. If you make a mistake early in the problem which propagates through it, you will lost points for incorrect parts/answers later in the problem. But as long as your method was correct, it will typically be 1 point or so at each step.

Problem:

1. For each equation:
   • 1 point for correct homogeneous solution
   • 2 points for correct assumed form for particular soluiton
   • 3 points for right answer.
   • Small computational error: -1, big comp error: -2.
   • Forgot homogeneous solution: -3 for first one, -1 for rest.
   • Forgot constants in homogeneous solution: -1
2. (a) - (d) 5 points for each
   1. missing coefficient: -1, answer from eqn 2.5: -5 or -0 based on answer for part (b)
   2. homogeneous: 1 point, particular: 1 point, constant: 2 points, overall right solution 1 point. Main idea ok: +2 points, anything that makes sort of any sense: +1 point
   3. wrong trend: 0 points, wrong/no asymptote -1: wrong shape: -1, for k < 0 in (a) need to show the case happening in real physics (T does not go to infty)
   4. right conclusion: +1, math explanation: +2, physical explanation: +2. If parts (b,c) are correct, don't need very detailed mathematical explanation
3. 1. Correct equation from word problem: +10. Include gravity +5
   2. right math for nonlinear separable equation: +5
   3. right plot: +5
4. • 10 points for correct general solution: +3 attempt to solve characteristic equation, right lambdas: +2, right form of solutions for complex lambdas: +2, write correct answer: +3
   • 5 points for plot
   • 3 points for right answer, 2 points for justificaion
5. 4 points for each match. 2 points for right match, 2 points for right rationale. Sometimes 2 points for two wrong answers that were grouped together correctly if the explanation was good