S (5, l, Mn. K3
MACT 231 Fall 2013
Problem 1. (4 pts each)
a) Find two unit vectors orthogonal to both <1, 17 1) and (0, 4, 4).
A
J 2,
x , L J l: '
a>x<onw7 : l\ A ~\: <-8,"u%7
o 4 Lt -: H<_z,-l,l7
50 lmclnm A GY-filv'nj i653
MACT 231 Fall 2014
Problem 1. (4 pts each) Consider the points P = (1, 4, 3) and Q = (1,0, 5).
a) Find symmetric equation of the line L passing through the points P and Q
MACT 2123
Spring 2014
a) (3 pts) Show that the lines L1 and L2 are parallel.
:3: : 4 3| \IF5 7 G)
b) (5 pts) Find the distance between the lines L1 and L2.
1)le 1: X" "2.1/1.2 21.1-0 =9 11, Ll
MACT 2123 Spring 2016
Midterm 1 Solutions
Problem 1. Consider the two lines L1 : a: = 1 1215, y = 2 + 1513, z = 9t, and
L2: 33:87:, y=10t, z=5+6t.
a) (4 pts) Show that the lines L1 and L2 are parallel
MACT 2123 Fall 2015
Problem 1. Consider the two vectors u 2 4i + j and w = 31 _ 2j.
a) (4 pts) Find the angle between u and w.
C030 [email protected] = 0-2 lo
mm WYE W27
4: (53"(557 = 1&6
l J. K
EXPE= /h I o/
MACT 2123 Fall 2016
Problem 1. (4 pts each) Consider the vectors u = (1, 1,2) and v = (3,4, 1).
Pmn-tl
a) Find an equation for the plane passing through the origin andWar
to the vectors u and V.
Y\ :
MACT 2123 Spring 2015
Problem 1. Consider the following two planes:
P1: 3:+2y+32:=0 P2: m3y+2z=0.
a) (4 pts) Find the angle between the planes P1 and P2.
CD (9
vr'i-J = \<1,2,57-<l,3,2.>l 1
tllz W
MACT 2123
Spring 2015
Midterm 1
March 10, 2015
Name:
UID:
Circle your section:
1
2
3
Time: 75 minutes.
Read each question carefully.
Show your work to receive full credit.
Calculators are allowed.
Pro
MACT 231
Fall 2014
Midterm 1
October 14, 2014
Name:
UID:
Circle your section:
1
2
3
Time: 75 minutes.
Read each question carefully.
Show your work to receive full credit.
Calculators are allowed.
Prob
MACT 231
Fall 2013
Midterm 1
September 24, 2013
Name:
UID:
Circle your section:
2
3
4
Show your work to receive full credit.
Calculators are allowed.
Time: 75 minutes.
Problem Score Points
1
12
2
1
Distances between points, lines, and planes in 3d space. (Note: This is not a list of
all formulas for these distances. Just standard ones we discussed in class.)
1. The distance between two points (x
MACT 2123
Spring 2014
Midterm 1
March 4, 2014
Name:
UID:
Show your work to receive full credit.
Calculators are allowed.
Time: 75 minutes.
Problem Score Points
1
13
2
14
3
14
4
10
5
12
Total
63
MAC
MACT 2123
Fall 2015
Midterm 1
October 13, 2015
Name:
UID:
Circle your section:
1
2
3
4
Time: 75 minutes.
Read each question carefully.
Show your work to receive full credit.
Calculators are allowed.
P
Example 1. Consider the point P (1, 1, 0) and the line L given by the parametric equations
L : x = 1 + t, y = 2 + t, z = 2t
a) Find symmetric equations for the line passing through the point P , and p
MACT 2123
Spring 2016
Midterm 1
March 8, 2016
Name:
UID:
Circle your section:
1
2
3
4
Time: 75 minutes.
Read each question carefully.
Show your work to receive full credit.
Calculators are allowed.
Pr
MACT 2123: Calculus III, Spring 2017, Review Session for Midterm 1
1) Consider the point P (1, 1, 0) and the line L given by the parametric equations
L : x = 1 + t, y = 2 + t, z = 2t
a) Find symmetric
MACT 2123
Fall 2017
Revision for Midterm 1
About Midterm 1:
1) Its length is 75 minutes and covers the following sections:
12.1, 12.2, 12.3, 12.4, 12.5, 14.1.
2) Only non-graphing, non-programmable ca
Analysis and Design
of Algorithms
Lecture 3
By
Dr. Hala Moushir Ebied
Associative Professor at Scientific Computing
Department
Faculty of Computer and Information Sciences
Ain Shams University
Instruc
1
Analysis and Design
of Algorithms
Lecture 2
By
Dr. Hala Moushir Ebeid
Associative Professor at Scientific Computing
Department
Faculty of Computer and Information Sciences
Ain Shams University
Instr
1
Analysis and Design
of Algorithms
Lecture 8 Chapter 15
Dynamic Programming
By
Dr. Hala Moushir Ebied
Scientific Computing Department
Faculty of Computer and Information Sciences
Ain Shams University
Analysis and Design
of Algorithms
Lecture 1
By
Dr. Hala Moushir Ebeid
Associative Professor at Scientific Computing
Department
Faculty of Computer and Information Sciences
Ain Shams University
Instruc
Analysis and Design of Algorithms
Analysis and Design
of Algorithms
Lecture 7
By
Dr. Hala Moushir Ebeid
Scientific Computing Department
Faculty of Computer and Information Sciences
Ain Shams Universit
Ain Shams University
Faculty of computers and information sciences
Object Oriented Programming (OOP)
Lecture 1: Objects & Classes
Dr. Abdelaziz A. Abdelhamid
( [email protected] )
Computer Scie
Ain Shams University
Faculty of computers and information sciences
Object Oriented Programming (OOP)
Lecture 2: Inheritance & Polymorphism
Dr. Abdelaziz A. Abdelhamid
( [email protected] )
Comp
Analysis and Design of Algorithms
Analysis and Design
of Algorithms
Lecture 4
By
Dr. Hala Moushir Ebeid
Scientific Computing Department
Faculty of Computer and Information Sciences
Ain Shams Universit
Analysis and Design of Algorithms
Analysis and Design
of Algorithms
Lecture 5
By
Dr. Hala Moushir Ebeid
Scientific Computing Department
Faculty of Computer and Information Sciences
Ain Shams Universit
1
Analysis and Design
of Algorithms
Lecture 6 Chapter 4
By
Dr. Hala Moushir Ebeid
Scientific Computing Department
Faculty of Computer and Information Sciences
Ain Shams University
Solving Recurrences
AUC_MENG 4779 Spring 2016
5/8/2016
DC Motors
Maki K. Habib
Mechanical Engineering Department
School of Sciences and Engineering
American University in Cairo
[email protected]
AUC MENG 4779
Spring 2016
1
P