Topology I Final Exam
December 21, 2016
Name:
There are ten questions, each worth ten points, so you should pace yourself at around 1012
minutes per question, since they vary in difficulty and youll want to check your work.
Use the back of the previous
Topology I Final Exam
December 21, 2016
Name:
There are ten questions, each worth ten points, so you should pace yourself at around 1012
minutes per question, since they vary in difficulty and youll want to check your work.
Use the back of the previous
Topology I Midterm 2
November 9, 2016
Name:
There are four questions, each worth twentyfive points, so you should pace yourself at around
1215 minutes per question, since they vary in difficulty and youll want to check your work.
Use the back of the pr
Topology I Midterm 1
October 5, 2016
Name:
There are five questions, each worth twenty points, so you should pace yourself at around
1012 minutes per question, since they vary in difficulty and youll want to check your work.
Use the back of the previous
Topology I Midterm 1
October 5, 2016
Name:
There are five questions, each worth twenty points, so you should pace yourself at around
1012 minutes per question, since they vary in difficulty and youll want to check your work.
Use the back of the previous
Topology I Midterm 2
November 9, 2016
Name:
There are four questions, each worth twentyfive points, so you should pace yourself at around
1215 minutes per question, since they vary in difficulty and youll want to check your work.
Use the back of the pr
MATH 309
Spring 2017
PRACTICE EXAM II
1) Let V be the inner product space of 2 x 2 matrices with inner product given by
E F #+" ,"
+#" ,#"
+"# ,"#
#+# ,# .
"
"
! "
A) 1 B) # G $ H # I & J ' K ( L ) M $
Find llFll
where
F
"
2) Using the inner produ
MATH 309
Spring 201(
PRACTICE EXAM II  SOLUTIONS
1) Let V be the inner product space of 2 x 2 matrices with inner product given by
E F #+" ," +#" ,#" +"# ,"# #+# ,#
"
"
Find llFll where F
! "
A) 1 B) # G $ H # I & J ' K ( L ) M $
solution: llFll F F #
MATH 309
Spring
2017
Practice Exam I =96?>398=
") Determine for which value of 2 the following homogeneous system has a
nontrivial solution.
2B" B# 0
6B" 2 B# !
A) " B " C # D # E $ F $ G % L % I & J) &
solution : To get a nontrivial solution we need the
MATH 309
Spring
PRACTICE EXAM I
") Determine for which value of 2 the following homogeneous system has a
nontrivial solution.
2B" B# 0
6B" 2 B# !
A) " B " C # D # E $ F $ G % L % I & J) &
$
"
#
# "
!
"
#
%
"
$
#) Given E &
and F
#
#
$
% " #
then c#$
Math 3200 Name 39m cfw_3935 lo
' i saw Pie Winnie Although both sample mean and sample variance from a Poisson random sample may be used
gr M90 unbiased to estimate intensity parameter ii, the sample mean is a better estimator. Which of the
following reas
Exam 1  Math 3200  Solutions
Spring 2013
1. Without actually expanding, find the coefficient of x y 2 z 3 in the expansion of (2x y z)6 .
(A) 120
(B) 60
(C) 30
(D) 20
(E) 10
(F) 10
(G) 20
(H) 30
(I) 60
(J) 120
The monomial we want in the multinomial exp
Exam 3  Math 3200
Solutions  Spring 2013
Name :
ID :
General instructions: This exam has 14 questions, each worth the same amount. Check that no pages are missing and promptly
notify one of the proctors if you notice any problems with your copy of the e
Final Exam  Math 3200
Solutions  Spring 2013
Name :
ID :
General instructions: This exam has 14 questions, each worth the same amount. Check that no pages are missing and promptly
notify one of the proctors if you notice any problems with your copy of t
Exam 2  Math 3200
Spring 2013
Name :
ID :
General instructions: This exam has 13 questions, each worth the same amount. Check that no pages are missing
and promptly notify one of the proctors if you notice any problems with your copy of the exam. Mark yo
Math 318 ' Spring, 2006
Krantz April 10, 2005
Second Midterm
General Instructions: Read the statement of each problem
carefully. Do only what is requestednothing more and nothing
less. Provide a complete solution to each problem. If you only
write the ans
SOLUTIONS
Math 318 Spring, 2006
Krantz . February 22, 2005
First Midterm
General Instructions: Read the statement of each problem
carefully. Do only what is requestednothing more and nothing
less. Provide a complete solution. to each problem. If you only
Math 318 Spring1 2006
Krantz April 10, 2005
Second Midterm
General Instructions: Read the statement of each problem
carefully. Do only what is requestednothing more and nothing
less. Provide a complete solution to each problem. If you only
write the answe
Math 318 Spring, 2006
Krantz February 22, 2005
First Midterm
General Instructions: Read the statement of each problem
carefully. Do only what is requested~nothing more and nothing
less. Provide a complete solution to each problem. If you only
write the an
Elementary and Intermediate Statistics with Data Analysis
MATH 3200

Fall 2013
Math 3200: Elementary to Intermediate Statistics
Instructor: Jimin Ding
[email protected]
Department of Mathematics
Washington University in St. Louis
Class materials are available on course website
(www.math.wustl.edu/ jmding/math3200/ )
Spring 2017
Jimin
Elementary and Intermediate Statistics with Data Analysis
MATH 3200

Fall 2013
Math 3200: Elementary to Intermediate Statistics
Instructor: Jimin Ding
[email protected]
Department of Mathematics
Washington University in St. Louis
Class materials are available on course website
(www.math.wustl.edu/ jmding/math3200/ )
Spring 2017
Jimin
Elementary and Intermediate Statistics with Data Analysis
MATH 3200

Fall 2013
Math 3200: Elementary to Intermediate Statistics
Instructor: Jimin Ding
[email protected]
Department of Mathematics
Washington University in St. Louis
Class materials are available on course website
(www.math.wustl.edu/ jmding/math3200/ )
Spring 2017
Jimin
Elementary and Intermediate Statistics with Data Analysis
MATH 3200

Fall 2013
Math3200 HW 2 (Due Friday 02/03/2017)
General Guide:
(a) Please Show your work in order to earn the full credit. This means that
you have to present your steps or explain your reasoning for the answers
you obtain, rather than just to write down the answer
Elementary and Intermediate Statistics with Data Analysis
MATH 3200

Fall 2013
Math3200 HW 1 (Due Friday 01/27/2017)
General Guide:
(a) Please Show your work in order to earn the full credit. This means that
you have to present your steps or explain your reasoning for the answers
you obtain, rather than just to write down the answer
Elementary and Intermediate Statistics with Data Analysis
MATH 3200

Fall 2013
Math 3200: Elementary to Intermediate Statistics
Instructor: Jimin Ding
[email protected]
Department of Mathematics
Washington University in St. Louis
Class materials are available on course website
(www.math.wustl.edu/ jmding/math3200/ )
Spring 2017
Jimin
Ma 322: Biostatistics
Conditional Probabilities and Continuous Densities
Prof. Wickerhauser
Wednesday, February 6th, 2013
Suppose that X, Y are continuous random variables, each taking values in the real line R, with
joint probability density function f (
Math 493: Probability
Lect 9. Discrete Random Variables
Variance and Binomial Distribution
Jose E. FigueroaL
opez1
1 Associate Professor
Department of Mathematics
http:/pages.wustl.edu/figueroa
Washington University in St. Louis
Sept. 19, 2016
1 / 30
Out
Math 493: Probability
Lect 1. Introduction and Motivation
Jose E. FigueroaL
opez1
1 Associate Professor
Department of Mathematics
http:/pages.wustl.edu/figueroa
Washington University in St. Louis
August 29th, 2016
1 / 29
Outline
About the Course
Motivati
Math 493: Probability
Lect 4. Conditional Probability II
Jose E. FigueroaL
opez1
1 Associate Professor
Department of Mathematics
http:/pages.wustl.edu/figueroa
Washington University in St. Louis
Sep. 7th, 2016
1 / 17
Outline
Conditional Probability (Sect
Math 493: Probability
Lect 7. Random Variables
Jose E. FigueroaL
opez1
1 Associate Professor
Department of Mathematics
http:/pages.wustl.edu/figueroa
Washington University in St. Louis
Sept. 14, 2016
1 / 24
Outline
Generalities of Random Variables (Secti