Bill Goodwine's Courses

In general, there IS double-jeopardy, but not severely. If you make an algebra error near the beginning and that just propagates wrong numbers down through the steps of the problem, it will be a couple points off where it was made, then generally one point off at each of the relevant steps. If the error completely messed up the problem or changed things that made it so that it changed the total nature of the problem, then more points are deducted.

Problem 1: 20 points total

• Using a correct solution method (either Undetermined Coef or VoP): 10 points
• Correct x_p and x_h: 5 points each
• Algebra or calculus errors: 1 - 5 points off depending on severity

Problem 2: 20 points total

• Recognizing it's nonlinear, i.e., attempting a nonlinear solution method: 5 poitns
• Checking correctly for exactness: 5 points
• Integrating the partials to try to find a solution: 5 points
• Correct solution: 5 points

Problem 3: 40 points total, part (a) 20 points and part (b) 20 points.

• Part (a)
  • Essay on the terms in the equation: 5 points
  • Correct solution method (linear, but variable coefficient) and correct solution: 10 points
  • Plot: 5 points
  • If didn't have modified solution going up and then back to zero: -3
• Part (b)
  • Recognizing as nonlinear and solving as such (separable): 10 points
  • Plot: 10 points
  • - 3 for bad relationship between exponential and polynomial, perhaps more off for having an even worse plot

Problem 4: 10 points total

• Only showing it's true for a specific example: 5 points (on example can only be used to show something is NOT true -- it can not show something is true in general)
• Writing correct stuff but failing to prove it: 3 points

Problem 5: 10 points
Basically all or nothing because it was so simple.