Econ 509, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2010
Exam 1
Please write in the space provided, and continue on the back of the page if needed,
Econ 5090, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2011
Final Exam
Please write your answers on the answer sheet, in the spaces provided. Continu
Econ 5090, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2011
Exam 2 Optimization under Constraints
Please write in the space provided, and continue on
Econ 509, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2010
Final Exam
Please write in the space provided, and continue on the back of the page if nee
Econ 509, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2010
Exam 2
Please write in the space provided, and continue on the back of the page if needed,
Econ 5090, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2011
Exam 1
Please write in the space provided, and continue on the back of the page if needed
Econ 5090, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2012
Exam 1
Please write in the space provided, and continue on the back of the page if needed
Econ 5090, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2012
Exam 2 Optimization under Constraints
Please write in the space provided, and continue on
Econ 5090, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
Summer 2012
Final Exam
Please write your answers on the answer sheet, in the spaces provided. Continu
Econ 5090, Introduction to Mathematical Economics I
Professor Ariell Reshef
University of Virginia
1
Contact information
O ce: Monroe 255
Phone: 434-243-4977
Email: [email protected]
O ce Hours: by
Leibnitz Rule
s
Let f 2 C1 (i.e. F 2 C2 ). Then
@
@
b(
Z
)
@b ( )
f (x; ) dx = f (b ( ) ; )
@
b(
Z
@a ( )
f (a ( ) ; )
+
@
a( )
)
@
f (x; ) dx :
@
a( )
Proof: let f (x; ) = dF (x; ) =dx. Then
@
@
b(
Z