Math 201 Quiz 1 Long Sample I
N. Nahlus
Name: .
I.D
.
In computing limits, you may skip the following
1) certain justifications if they are well-known.
2) In LCT, IF you are sure that L=1, write L=1 &
Let D be a region in R3 , and let F : D R3 , F = (M, N, P ) be a vector field with
continuously differentiable functions M, N , and P . We have learned that if F is conservative in
D, then F satisfies
American University of Beirut
Math 202-Differential Equations
Spring 2014-N. Nahlus, W. Raji, H. Yamani, M.
Kobeissi, K. Aziziheris
Final Exam- Time: 120 minutes
May 14, 2014
Your Name:. and ID:.
Grad
Differential Equations
Equation
dy
= f (x)
dx
dy
= H ( x, y ) = f ( x ) g ( y )
dx
dy
+ P ( x) y = Q( x)
dx
Method
y ( x) = f ( x)dx + C
1
g ( y)dy = f ( x)dx
P ( x ) dx
Take I = e
, then multiply t
AMERICAN UNIVERSITY OF BEIRUT
Math 218 Linear Algebra and Applications
Final Exam
Fall 2013
1 1
1
1. (10 points) Let A = 1 2 and b = 0 .
2 2
2
a) Find the least squares solution of Ax = b.
b) Find the
ITIS 1P97: Data Analysis
and Business Modelling
Midterm Review
Midterm Review
1
Midterm Exam
Date Saturday October 22, 2016
at 1200 (12:00 PM)
at 1000 (10 AM) room TH147 those who have a
conflict (
Math 201,
Quiz II: NEW Double Sample
K. Aziziheris & N. Nahlus (2013)
1) Let , = 9 2 2
b) From definitions, show that (0, 0) = 0 = (0, 0)
c) Prove that f is differentiable at (0, 0)
d) sketch the grap
Math 201
Practice Problems for Quiz I
1) Find the following limits. Justify your answer.
2) Investigate convergence/divergence of the following series
Warning: The big hints/tricks below will not be g
Additional problems from previous quizzes (Math 201 quiz2)
Prof. H. Abu-Khuzam
1. Let
f(x,y)= .
At what points (x,y) is the function f continuous? Explain
2. Show that does not exist
3. Find the first
Math 201 Quiz 1 Long Sample I
Kamal Aziziheris
Name: .
I.D
.
In computing limits, you may skip the following
1) certain justifications if they are well-known.
2) In LCT, IF you are sure that L=1, writ
University of Wisconsin-Madison
Math 340 - Spring 2010
Linear Algebra
Final Exam
Exercise 1: Let L : R2 ! R2 such that L(1, 1) = (3, 0) and L( 2, 1) = (1, 1). Find L(1, 4).
Exercise 2: Some questions