1. Jeopardy! April 2008

2. Office hours Friday 12-2 in Everett 5525 Monday 2-4 in Everett 5525 Or Email for appointment Final is Tuesday 12:30 here!!!

3. Rules Pick a group of two to six members When ready to answer, make a noise + raise your hand When it is unclear which group was ready first, the group who has answered a question least recently gets precedence (if none of the groups has answered a question, its instructor’s choice) Your answer must be in the form of a question The person from your group answering the question will be chosen at random If you answer correctly, you get the points If you answer incorrectly, you do not lose points. Other groups can answer, but your group cannot answer that question again The group which answers the question correctly chooses the next category If we have time for a final question, you will bet on your ability to answer the question

4. Existence Uniqueness 100 200 300 400 500 Solution Methods 100 200 300 400 500 Linear Algebra 100 200 300 400 500 Laplace Transform 100 200 300 400 500 final

5. Existence/Uniqueness Conditions necessary near x=a for the existence of a unique solution for return

6. Existence/Uniqueness Conditions necessary near x=a for the existence of a unique solution for return

7. Existence/Uniqueness Conditions necessary near t=a for the existence of a unique solution for return

8. Existence/Uniqueness Conditions necessary near x=a for the existence of a unique solution for return

9. Existence/Uniqueness Conditions necessary near x=a for the existence of a unique solution for return

10. Solution Methods A method you would use to solve return Chose your solution from the methods we have discussed: Integrate both sides using calculus II techniques Separation of Variable Integrating Factor Characteristic equation Characteristic equation/Method of Undetermined Coefficients Characteristic equation/Variation of Parameters Transform into a system of linear equations/matrix methods Laplace Transform Power Series Methods

11. Solution Methods A method you would use to solve return Chose your solution from the methods we have discussed: Integrate both sides using calculus II techniques Separation of Variable Integrating Factor Characteristic equation Characteristic equation/Method of Undetermined Coefficients Characteristic equation/Variation of Parameters Transform into a system of linear equations/matrix methods Laplace Transform Power Series Methods

12. Solution Methods A method you would use to solve return Chose your solution from the methods we have discussed: Integrate both sides using calculus II techniques Separation of Variable Integrating Factor Characteristic equation Characteristic equation/Method of Undetermined Coefficients Characteristic equation/Variation of Parameters Transform into a system of linear equations/matrix methods Laplace Transform Power Series Methods

13. Solution Methods A method you would use to solve return Chose your solution from the methods we have discussed: Integrate both sides using calculus II techniques Separation of Variable Integrating Factor Characteristic equation Characteristic equation/Method of Undetermined Coefficients Characteristic equation/Variation of Parameters Transform into a system of linear equations/matrix methods Laplace Transform Power Series Methods

14. Solution Methods A method you would use to solve return Chose your solution from the methods we have discussed: Integrate both sides using calculus II techniques Separation of Variable Integrating Factor Characteristic equation Characteristic equation/Method of Undetermined Coefficients Characteristic equation/Variation of Parameters Transform into a system of linear equations/matrix methods Laplace Transform Power Series Methods

15. Linear Algebra The inverse of return

16. Linear Algebra The eigenvalues and eigenvectors of return

17. Linear Algebra The number of solutions to all equations below return

18. Linear Algebra The solution(s) to both equations below return

19. Linear Algebra A basis for the solution space of both equations below return

20. Laplace Transform The Laplace Transform of return

21. Laplace Transform The Inverse Laplace Transform of return

22. Laplace Transform The Inverse Laplace Transform of return

23. Laplace Transform Laplace transform of x if x solves return

24. Laplace Transform Inverse Laplace transform of return

25. Final Question The Laplace transform of