Jeopardy!

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. final 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

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

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

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

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

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

10. Solution Methods return A method you would use to solve 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 return A method you would use to solve 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 return A method you would use to solve 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. return Solution Methods A method you would use to solve 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. return Solution Methods A method you would use to solve 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. return Linear Algebra The inverse of

16. return Linear Algebra The eigenvalues and eigenvectors of

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

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

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

20. return Laplace Transform The Laplace Transform of

21. return Laplace Transform The Inverse Laplace Transform of

22. return Laplace Transform The Inverse Laplace Transform of

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

24. return Laplace Transform Inverse Laplace transform of

25. Final Question The Laplace transform of