COURSE SYLLABUS
ENGL 202
AMERICAN LITERATURE II
COURSE DESCRIPTION
A survey of American literature following the American Renaissance. Two critical papers are
required.
RATIONALE
The study of literatu
GUC
MATH-101
For Management
Winter 2016
Lecture # 7
Chapter 3
Differentiation of functions
1
Main objectives
Chapter 3
Differentiation of functions
Introduce the formal definition of the derivative
of
Robotics
Islam S. M. Khalil
German University in Cairo
Islam S. M. Khalil
Hill Climbing using Newton-Raphson Method
Outline
Hill climbing
Newton-Raphson method
Newton-Raphson in optimization
Islam S.
Robotics
Islam S. M. Khalil
German University in Cairo
October 1, 2016
Islam S. M. Khalil
Kinematics
Position and Orientation of Rigid Bodies
Position: A pAB R31 in A.
Orientation: A RB R33 in A.
RT =
1
Modeling of a Pantograph Haptic Device
Islam S. M. Khalil and Mohamed Abu Seif
Kinematics of the Pantograph Haptic Device
The pantograph haptic device consists of 5 links with lengths li for i = 1,
Robotics
Islam S. M. Khalil
German University in Cairo
September 18, 2016
Islam S. M. Khalil
Kinematics
Vector Functions
A vector v in a reference frame A depends on a scalar verifiable q.
We can say
Robotics
Islam S. M. Khalil
German University in Cairo
September 19, 2016
Islam S. M. Khalil
Kinematics
Angular Velocity
Let bl , b2 , and b3 form a right-handed set of mutually
perpendicular unit vec
Robotics
Islam S. M. Khalil
German University in Cairo
Islam S. M. Khalil
Homogeneous Transformations
ZX 0 Z 00 Euler angles
Rotation around Z -axis
cos sin 0
Rz () = sin cos 0
0
0
1
Rotation around X
Robotics
Islam S. M. Khalil
German University in Cairo
September 6, 2016
Islam S. M. Khalil
Kinematics
Outline
Motivation
Agenda
Generalized pseudoinverse
Over- and under-determined systems
Islam S. M
Petersen 1
Kylie Petersen
Professor Williams
THEO 104
April 15, 2016
Biblical Worldview Essay
As a Christian, it is important to always keep in mind the teachings within the Bible. One
of the major co
GUC
MATH103
For Engineering
Winter 2015
Lecture # 1
1
Instructor and Textbooks
Lecturer: Dr. Hany El-Sharkawy
Office:
C3.106
E- mail: [email protected]
Textbooks:
Lecture notes your main sour
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 8
Continue: Some Applications on Differentiation.
VI- Extrema & Inflection poin
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 9
Integration
3
x2
x 1
2
1
x dx
c x2 c
3
3
1
x
2
4
1
4
x 2
8
3
(b) 3 dx 8 x
Mathematics Department
Dr. Hany El Sharkawy
Winter 2012
Math103 - Engineering 1st semester
Solution of Inequalities
(I) Some Rules:
Rule 1: If x
y Then
(a) k x
ky
If k
0
(b) k x
ky
If k
0
Rule 2: If x
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 3
Types of functions
[1] (i) f ( x ) 2 sin( x )
3
Df R
1 sin( x 3 ) 1
2 2 sin
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 7
Continue: Some Applications on Differentiation.
III Linear approximation & IV
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 5
Differentiation.
[1] (i) f ( x ) x , f ( x h) ( x h)
3
3
f ( x h) f ( x )
( x
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 6
Continue: Differentiation.
[1] (a) f ( x) cos x, f ( x h) cos( x h)
f ( x h)
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 4
Some Techniques for limits of functions
[1] (i) lim 3 x 2 x x 1 3( 2) 2( 2) (
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 2
Functions
4 x2
9
2
For each one input value we have two output values, x 9 y
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
For Engineering - Math 103
Solution for Work Sheet Nr. 1
Numbers and Inequalities
[1]
N cfw_1, 2, 3, 4, 5, .
Z cfw_. , 3, 2, 1, 0, 1,
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
for Engineering - MATH 103
Work Sheet Nr. 8
Continue: Some Applications on Dierentiation.
VI- Extrema & Inection points, Optimization
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
for Engineering - MATH 103
Work Sheet Nr. 9
Not so short introduction to Integration.
1. Find the following indenite integrals
(
(
8
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
for Engineering - MATH 103
Work Sheet Nr. 7
Continue: Some Applications on Dierentiation.
III- Linear approximation & IV- Dierential
1
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
for Engineering - MATH 103
Work Sheet Nr. 2
Functions.
1. Does the relation x2 + 9y 2 = 4 dene y as a function of x?
2. Does the expre
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
for Engineering - MATH 103
Work Sheet Nr. 6
Continue: Dierentiation.
1. Use the denition of the derivative to nd f (x):
i) f (x) = cos
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
for Engineering - MATH 103
Work Sheet Nr. 5
Dierentiation.
1. Use the denition of the derivative to nd f (x):
i) f (x) = x3
ii) f (x)
Department of Mathematics
Dr. El-Sharkawy
Winter 2012
Mathematics
for Engineering - MATH 103
Work Sheet Nr. 4
Some techniques for limits of functions.
1. Evaluate each of the following limits:
2
i) li