Section 4.1 Linear differential equations: Basic theory
4.1.1 Inintial Value & Boundary-Value Problems
1) Inintial Value Problems
The corresponding IVP
n 1
n
d y
d y
dy
an ( x) n an1 ( x ) n 1 L L a1 ( x) a0 ( x) y g ( x)
dx
dx
dx
(1)
n conditions
y ( x0

EE 200.02 (Term 142): Quiz # 3:
Show all your work
I
Serial #
I
1. Consider the function F(A,B,C,D) plotted on theK - map shown.
c
a. Express F in the following shorthand canonical form
F=II(
3 . lf:) 6 I I ~
'2) , tt
)
AS
00
b.
CD
is an essential pri

EE 206: Introduction to Electrical Systems and Computations
[Term 151]
Project Management and Assessment
I.
Introduction:
The project is an integral part of EE 206. Students will be working in groups to accomplish a certain
task. The following document st

King Fahd University of Petroleum and Minerals
Information Technology Center
Computing Services Section
Dept. of:
IAS
Course:
ias301
Final Exam
Semseter: 151
Section:
Sunday, December 27, 2015
04
ID
Raw Score
% Score
201040860
28
93.33
201069640
28
93.33

EE 200.02 (Term 142): Quiz # 5
I~:el
1. Fill in the spaces:
I Serial # I
a. Nine 3-to-8 decoders with Enable can be used to build one
(;
-to-
bLf:
decoder.
I6
b. A 4-to-16 decoder can be used to build a 16-to-l MUX by adding a selection network of
many) 2

EE 200.02 (Term 142): Quiz # 4:
I
~:e I
I Serial # I
1. Given F(W,X,Y,Z) TI(I,5,9,11,15) and d(don't care) (W,X,Y,Z) = L(0,3,6,8,13),
Use the K-map simplify function F for 2-level implementations of the forms:
=~[)-Na,~
a. NAND-AND
F
sop
K-~-=t.p :

King Fahd University of Petroleum and Minerals
Department of Mathematics and Statistics
MATH 201 - Term 132 - Exam I
Duration:120 minutes
Name:
ID Number:
Section Number:
Serial Number:
ClassTime:
Instructors Name:
Instructions:
1. Calculators and Mobiles

,
.
King Fahd University Petroleum and Minerals
Department ofMathematics and Statistics
iMASTERI
MATH 201Term132
Duration: 120minutes
Name:_
c.,I :~;
Exam II
iMASTERi
Number: _
SectionNumber:_ _
ClassTime:,_ _
Instructor'sName:
GeneralInstructions:
1. Cal

,
King Fahd University Petroleum and Minerals
Department of Mathematics and Statistics
IMASTER I
MATH 201 Term 132 Final Exam
Duration:180minutes
IMASTER I
KEY
Name:
ID Number:
SectionNumber:
SerialNumber:
_
_ Instructor's Name:
General Instructions:
1.

Ken
King Fahd University of Petroleum and Minerals
Department of Mathematics and Statistics
Math 201
Final Exam — 2015—2016 (151)
Version—F E
Allowed Time: 180 minutes
Name:
ID#:I
Section #: Serial Number:
Instructions:
1. Write clearly and legibly.

Section 6.1 Review of power series
A power series about the point
is series in the powers of
Convergence of power series in
1) it converges only for
, of the form
Then either
.
OR
2) it converges for all values of
OR
3) it converges for
in an open interva

Section 4.6 Variation of parameters
The annihilator method learnt in previous section can only be applied for a few
kinds of non-homogeneous differential equations. For example, it can not be used
to find
for simple equation like
.
Here we learn a method

11.1 Parametrizations of Plane Curves
A curve in the plane is usually described by an equation(expression) in x & y
Another way to describe curves in the plane is to express the x-coordinate
and y-coordinate as an arbitrary point (x,y) on the curve in ter

Section 4.7 Cauchy-Euler equation
Here we will study a class of linear equations with variable coefficients.
A Cauchy-Euler Equation is a linear differential equation of the form
(*)
Examples
Because the coefficient of
is zero at
, we focus on
studying t

Section 4.5 Undetermined coefficients Annihilator approach
A method for finding particular solution of following special types
of non-homogeneous linear differential equations with constant
coefficients:
(*)
where
is a
polynomial
or exponential functio

Section 2.2 Separable variables
Fundamental integration formulas
dx x C
1
,
x dx ln x
e
x
x n 1
x dx n 1 C (n 1)
n
C
dx e C
,
x
cos xdx sin x C
sec
2
,
xdx tan x C
sin xdx cos x C
,
sec x tan xdx sec x C
csc
,
2
dx tan 1 C ,
a
a
a
1 x
dx
sin
C
2

Section 4.3 Homogeneous linear equations with constant coefficients
In this section we consider the homogeneous DE
(1)
Where the coefficients an , , a1 , a0 are constants.
Note that the linear 1st order homogeneous DE y ' + ay=0 , has a the
exponential s

Section 4.2 Reduction of order
In this section we deal only with homogeneous linear second order ODE
'
'
a1 ( x ) y + a2 ( x ) y + a3 ( x ) y=0(1) ,
Put (1) in Standard Form
Given
y P ( x) y Q ( x ) y 0
as one solution of (*)
y1 ( x)
Aim: To find 2nd l

Section 2.4 Exact equations
Recall: If z=f ( x , y ) is a function of two variables with continuous first
partial derivatives in a region R in xy plane , then its differential is
df =
f
f
dx +
dy
x
y
A 1st order differential equation of the form
(*)
M ( x

Section 3.1 Linear Models:
GROWTH AND DECAY
In biological applications the rate of growth of certain populations
(bacteria, small animals) over short periods of time is proportional to
the population present at time t.
Let
P (t )
denote the number of ce

Section 2.5 Solutions by substitutions
Certain ODEs which are neither separable nor linear can be converted to
separable or linear form using appropriate substitutions. Here we are going
to consider three cases of such substitutions.
We will learn to solv

Section 2.3 Linear equations
What is linear 1st order equation?
Notes:
1.
2.
Values of
x
for which
a1 (x ) 0
are called singular points of the equation.
What is the standard form?
1
Example 1:
Solution
Done in class
Example 2:
Solution
Done in class
Examp

CH. 4 : Techniques of Circuit Analysis
4.5 Mesh-Current (Mesh) Analysis
EE202 p. 1
2/15/2014
In formulating mesh analysis we assign a mesh
current to each mesh.
Mesh currents are sort of fictitious in that a particular
mesh current does not necessary defi

King Fahd University of Petroleum and Minerals
Department of Mathematics and Statistics
MATH 201 - Term 142 - Final Exam
Duration: 180 minutes
KE!
Name: ID Number:
Section Number: Serial Number:
ClassTime: Instructor’s Name:
Instructions:
1,. Calculator

B121
Chapter 9
Managing Your Career
Your personal marketing plan
One way of considering career development
is to think of it in terms of a personal
marketing plan.
It means adopting a realistic view of
yourself as the supplier of a service for
which you n

B121
Chapter 14
Managing People
Managing individuals
Human resource (HR) management is of
direct relevance to anyone who has to
achieve results through the efforts of other
people.
It concerns all management decisions and
actions that affect the relations

B121
Week 12
Chapter 15
Monitoring and Evaluation
Learning from the exercise of
control
Management control shifting from
Management accounting.
Single loop learning and Double loop
learning
The four Es
Effectiveness
Efficiency
Economy
Ethical acceptabilit

Week-9
B121
Chapter 11
Marketing
Marketing
It is concerned with exchange relationships.
In Commercial Organizations, products and
services are exchanged for money and resources
from customers.
In not-for-profit organizations the exchange can
involve non-f

B121
Chapter 13
Leadership, Management and
Motivation
Leading for results
Management involves far more than
planning, implementation and the exercise
of co-ordination and control. If an
organization is to operate successfully in the
wider environment, eff

Management Theory
Traditional Management Theory
Max Weber studied various economic
performances of Western nations and
capitalism development.
He also related capitalism development with
different religion beliefs.
20 Century
th
the early 1900s the cap