Exam 1 Grading

[goodwine]

Here is the grading method and point allocation for the problems in exam 1.

1. Problem 1:
   • Homogeneous solution:
     • 4 points for proper method of determining roots
     • 2 points for computing the right roots
     • 2 points for the correct homogeneous solution
   • Particular solution:
     • 4 points for proper method (und coef or VoP)
     • 2 points for properly computing particular soluion
     • 1 point each for c1 and c2
   • 3 points for proper solution
   • Graph:
     • 1 point for oscillatory reponse
     • 1 point for decay
     • 1 point for proper initial conditions
     • 1 point for proper steady state value
2. Problem 2:
   • 5 points for the right eigenvalues
   • Homogeneous solution:
     • 5 points for proper expression
     • 2 points for coefficients
     • 2 points for correct solution
   • Particular solution
     • 5 points for method
     • 5 points for correct computations
   • 1 point for combining everything properly
3. Problem 3
   • Find f(x,t) 5;
   • Find g(x,t) 5;
   • Judgment of exact 4;
   • Integration w.r.t x 5;
   • Integration w.r.t t 5;
   • Final result: 1
4. Problem 4
   • Equation derivation: 1 point for anything, 3-4 points for correct geometry, 9-10 for correct execution
   • Program: 14 points for correct form. -5 for incorrectly splitting up x and y. -5 for only x or only y