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Exam 3: Laplace transforms

Expectations

​ For exam 3, you should be able to solve linear constant coefficient initial value problems using Laplace transforms, including the techniques of

  • partial fractions
  • complete the square
  • s- and t-translation rules
  • Heaviside functions
  • Dirac delta functions
  • convolution
  • computing transforms using the definition of the Laplace transform

You are free to make, bring, and use a table of Laplace transforms for the exam. The table should be on one side of an 8.5 x 11 sheet of paper. Keep it to just Laplace transforms, please --no worked-out problems, etc. (if you want to include the definition of the Laplace transform, put f(t) and integral_0^infty exp(-st) f(t) dt in your table). The exam will not utilize exotic transforms we haven't touched on in lecture or homework.

Advice

  • arrive a few minutes early
  • bring a pencil, eraser, and a pen
  • read the instructions and follow them --worth some portion of your grade
  • read the problem statements and do what is asked
  • be careful with algebra and calculus --don't rush!
  • keep cool and collected, try not to freak out about grades
  • check your answers by substituting them into the ODE
  • know your section number

Seating

sections room time
1 2 4 6 9 Spaulding 120 1:10-2:00pm Wed Apr 11
3 5 7 8   Horton 210 1:10-2:00pm Wed Apr 11
extra time Kingsbury 390 1:10-2:35pm Wed Apr 11

In Spaulding 120, sit in alternate seats starting with the first seat off the interior aisle.