BiLKENT UNIVERSITY
Department of Mathematics
Date: 9 December 2010 NAME: . .
Time: 18:00—20:00 STUDENT NO: . .
Fall 2010—11, U. Mugan & Y. Kurtuimaz SECTION: 01 02 03 04
Math 225.01-04, Linear Algebra 85 Differential Eq. Midterm Exam # 2
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PHYS 102 General Physics-II, Midterm-II
Duration: 100 minutes
27 April 2013
NAME:_
Section:_
Q.1 (25)
Q.2 (25)
Q.3 (25)
Q.4 (25)
Total (100)
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Math 101
Final Exam
January 9, 2008
12:15 - 14:15
Name
:
ID#
:
Department
:
Section
:
Instructor
:
The exam consists of 5 questions of equal weight.
Please read the questions carefully.
Show all your work in legibly written, well-organized mathematical

Date: 7 July 2003, Monday
Instructor: Ali Sinan Sertoz
Time: 10:00-12:00
Math 102 Calculus Midterm Exam II
Solutions
Q-1) Find
dw
at t = 1, where
dt
w(x, y) = x7 ey + cos(xy) + y 3
t
3
x(t) = 2t2 + arctan t ( )
2
4 2
t
4
y(t) = t + 2t + arcsin (3 + ).
4

[Phys-102, 2nd Midterm]
Grading Policy
29 April 2013 Q.2 Magnetic Field (25 points)
An innitely-long and at conducting strip of total width L and negligible thickness lies in a
horizontal plane and carries a uniform current I across its cross section. Fin

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MATH225 Differential Equations and Linear Algebra (02) Quiz #3
15 minutes cfw_show all your work!) October 27, 2015
Name 86 Last Name:
Department:
Question (10 points) Is A nonsingular. If so, nd A1 where
[' Z 3 0 O -5R|+R3->K3
o l LI 0 I O _, '
5 6

MATH225 Differential Equations and Linear Algebra (02) Quiz #4
15 minutes (show all your work!) November 12, 2015
Name 82: Last Name:
Department:
Question (10 points) Suppose that V denotes the space of all n x nmatrices. If W
is the collection of all mat

MATH225
Dierential Equations and Linear Algebra (02)
30 minutes (show all your work!)
Quiz #6
November 24, 2015
Name & Last Name:
Department:
[
Question (10 points) It is given that A =
5 4
2 1
]
is a 2 2 matrix.
a. Find the eigenvalues and characteristic

BiLKENT UNIVERSITY
Mathematics Department
Math225 Di'erential Equations & Linear Algebra
Summer School 20142015
SECOND HOMEWORK ASSIGNMENT
June 22, 2015
Due Date: June 25, 2015
Name : .
Id. No. : .
Section : .
IMPORTANT
This homework consists of 5 q

BILKEN T UNIVERSITY
Mathematics Department
Math225 Differential Equations & Linear Algebra
Fall Semester 2015-2016
FIRST HOMEWORK ASSIGNMENT
October 13, 2015
Due Date: October 20, 2015
IMPORTANT
o This homework consists of 5 questions of equal weight. Hom

PHYS 102 General Physics-II, Final Exam
Duration: 120 minutes
22 May 2013
NAME:_
Q.1 (20)
Q.2 (20)
Q.3 (20)
Q.4 (20)
Section:_
Q.5 (20)
Total (100)
You must sign the Honor Code for your exam to be graded:
I pledge, on my Honor, not to lie, cheat, or steal

Name:
Grade:
/10
Math 102, Calculus II, Spring 2013, Sec. 5, H.T.K.
Quiz 1, Thu., Feb. 14
1. Consider the sequence cfw_an = cfw_ 2, 2 2, 2 2 2, . . . . Show that assuming
an > 2 even for one n leads to a contradiction, thereby proving that an 2 . Nex

MATH 225
Spring 2007-2008
SOLUTIONS OF MIDTERM 1
1) ( 10+10 pts.)
Consider the initial value problem
x
dy
=
dx 6 y ( y 2)
y ( 2) = 1
a) Using the Existence and Uniqueness Theorem show that the given initial value
problem has a unique solution.
Solution

Math 101
Quiz 2
17 February, 2011
Name
:
ID#
:
Department
:
Section
:
QUESTION: Find the points on the graph of f (x) = x2 + 4x 4 so that the
tangent lines are orthogonal to the line 4y 2x 3 = 0. Write the equation of this
tangent line.
SOLUTION:

Name Surname:
Signature:
Sept 24, 2012
MATH 101-005 Quiz 1
Evaluate the following limits. Show your work.
x2 + 6|x 3| 10
x2
x3 8
a) lim
x3 3x2
b) lim
x3
6+xx
(5 points)
(5 points)

Name Surname:
Signature:
October 11, 2012
MATH 101-005 Quiz 3
a) Suppose you want to send an e-mail to me or to the coordinator of MATH 101. Write
down three things that your e-mail must contain.
1.
2.
3.
b) Write the equation of the tangent line to the g

Name Surname:
Signature:
October 4, 2012
MATH 101-006 Quiz 2
a) (5 points) Show that the equation cos x = x has at least one root in the open interval
(0, /2). Explain your solution and write the name of the theorem that you use.
b) (5 points) The followi

Date: 21 June 2003, Saturday
Instructor: Ali Sinan Sertoz
Math 102 Calculus Midterm Exam I
Solutions
Z
Q-1) Evaluate the integral
x2 + 5
dx
(x 1)2 (x2 + 1)
Solution: Here you need to simplify the integrand using the technique of partial fractions:
Cx + D

Math 101 Spring 2009
Midterm 2 Solutions
1) Find the limit
1
lim
x0 x4
Z
x
tan3 (u) du
0
Solution: We have
1
lim 4
x0 x
Z
Rx
x
tan3 (u) du = lim
x0
0
0
tan3 (u) du
= ()
x4
We have a indeterminate form of type 00 . Lets try applying LHopitals Rule then
by

Math 101
Midterm II
December 8, 2007
10:00 - 12:00
Name
:
ID#
:
Department
:
Section
:
Instructor
:
The exam consists of 5 questions of equal weight.
Please read the questions carefully.
Show all your work in legibly written, well-organized mathematica

Date: 23 July 2004, Friday
Time: 9:30-11:30
Alexander Goncharov & Ali Sinan Sertoz
Math 102 Calculus II Final Exam Solutions
Q-1) Test the following series for convergence:
X
2n
i)
n15
n=1
ii)
X
n=2
n
(1 +
n2 )(ln n)2
15
an+1
n
=2
Solution: i)
2 as n

PHYS 102 General Physics-II, Midterm-II
Duration: 100 minutes
27 April 2013
NAME:_
Section:_
Q.1 (25)
Q.2 (25)
Q.3 (25)
Q.4 (25)
Total (100)
You must sign the Honor Code for your exam to be graded:
I pledge, on my Honor, not to lie, cheat, or steal in eit

MATH225
Dierential Equations and Linear Algebra (02)
15 minutes (show all your work!)
Quiz #1
September 29, 2015
Name & Last Name:
Department:
Question (10 points) Verify that if c is a constant then the function dened piecewise by
if x c ,
+1
y(x) = cos(