jeopardy! april 2008. office hours friday 12-2 in everett 5525 monday 2-4 in everett 5525 or email...
TRANSCRIPT
Jeopardy!
April 2008
Office hours
Friday 12-2 in Everett 5525Monday 2-4 in Everett 5525Or Email for appointment
Final is Tuesday 12:30 here!!!
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
ExistenceUniqueness
100
200
300
400
500
SolutionMethods
100
200
300
400
500
Linear Algebra
100
200
300
400
500
Laplace Transform
100
200
300
400
500
final
Existence/Uniqueness
Conditions necessary near x=afor the existence of a unique solution for
)sin(5'4'' xyyy
return
Existence/Uniqueness
Conditions necessary near x=afor the existence of a unique solution for
)()()( 0)1(
1)( xfyxpyxpy n
nn
return
Existence/UniquenessConditions necessary near t=afor the existence of a unique solution for
)()()()('
)()()()('
)()()()('
2211
222221212
112121111
tfxtpxtpxtpx
tfxtpxtpxtpx
tfxtpxtpxtpx
nnnnnnn
nn
nn
return
Existence/Uniqueness
Conditions necessary near x=afor the existence of a unique solution for
)()(' xQyxPy
return
Existence/Uniqueness
Conditions necessary near x=afor the existence of a unique solution for
),(' yxfy
return
Solution Methods
A method you would use to solve 0'' yy
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
Solution Methods
A method you would use to solve )tan(2'3'' xyyy
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
Solution Methods
A method you would use to solve )sin(23''
)cos(5''
tyxy
tyxx
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
Solution Methods
A method you would use to solve ttyyty 3'2)3(
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
Solution Methods
A method you would use to solve xxyyx 63')1( 2
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
Linear Algebra
The inverse of
return
43
65
Linear Algebra
The eigenvalues and eigenvectors of
return
43
65
Linear Algebra
The number of solutions to all equations below
return
1083
33
523
zyx
zyx
zyx
Linear Algebra
The solution(s) to both equations below
return
82
93
yx
yx
Linear Algebra
A basis for the solution space of both equations below
return
0825
073
zyx
zyx
Laplace Transform
The Laplace Transform of
return
tet 32
Laplace Transform
The Inverse Laplace Transform of
return
)3(
1
ss
Laplace Transform
The Inverse Laplace Transform of
return
)9(
122
ss
s
Laplace Transform
Laplace transform of x if x solves
return
3)0('
2)0(
025'6''
x
x
xxx
Laplace Transform
Inverse Laplace transform of
return
256
532
ss
s
Final Question
The Laplace transform of
51
50)(
t
ttf