Intersection between a circle and a line
PreCalculus for Engineers
Dr David J.J. Devlin
Lecture 4
Intersection between a circle and a line
A more general case
If we are given the equation of a circle in the form
y 2 + x 2 2by 2ax + c = 0,
we can find the
Introduction The Real Line Ordering Real Numbers Absolute Value Division By Zero The Quadratic Equation Graphs of Quadratics Graphs of Quadratic
Trigonometric equations
Trigonometric equations are equations involving trigonometric functions.
Here are som
Soran University
Faculty of Science & Engineering
Department of Petroleum Engineering
Mathematics Tutorial Sheet 3
Attempt all questions. The answers to these questions will be discussed on Tuesday 17th December.
Please bring your attempts to solve these
Soran University
Faculty of Science & Engineering
Department of Petroleum Engineering
Petroleum Engineers: Welcome to the course!
The title of this course is Engineering Mathematics but do not let the title fool you, this is really a
course in Elementary
Soran University
Faculty of Science & Engineering
Department of Petroleum Engineering
Mathematics Tutorial Sheet 2
Attempt all questions. The answers to these questions will be discussed on Tuesday 10th December.
Please bring your attempts to solve these
Faculty of Science & Engineering
Stage: First Year
Petroleum Engineering
Date: 14/01/2014
Subject: Engineering Mathematics
Time: 1 Hour
1. Solve the following equations
a.
b.
3
+ 4 =
[2]
=
[2]
c. 3 1 = 9
d. ( + 5) =
e. 4 4 2 + 4 = 0
[2]
[2]
[2]
2. Sol
Soran University
Faculty of Science & Engineering
Department of Petroleum Engineering
Mathematics Tutorial Sheet 1
Attempt all questions. The answers to these questions will be discussed on Tuesday 3rd December.
Please bring your attempts to solve these q
Soran University
Faculty of Science & Engineering
Department of Petroleum Engineering
Mathematics Tutorial Sheet 4
Attempt all questions. The answers to these questions will be discussed on Tuesday 14th January.
Please bring your attempts to solve these q
Service Engineering
Created: April 1997
Last revision: April 2007
LITTLES LAW
A conservation law that applies to the following general setting:
Input: Continuous flow or discrete units (examples: granules of powder measured in tons,
tons of paper, number
Probability and Random
Processes
Lecture no. (17)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Part 4: Stochastic processes
4.1 Introducti
Probability and Random
Processes
Lecture no. (18)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
4.3 Markov chains

1step transition matri
Probability and Random
Processes
Lecture no. (14, 15)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
3.5 Sum of independent random
variables
Probability and Random
Processes
Lecture no. (13)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
3.4 Covariance and correlation
2
Expectatio
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Probability and Random
Processes
Lecture no. (11)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Part 3: Multiple random variables
3.1 Intro
Probability and Random
Processes
Lecture no. (6)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Outline
Part 2 Random variables
2.3
Some imp
Probability and Random
Processes
Lecture no. (5)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Outline
Part 2 Random variables
2.2 Discrete
Probability and Random
Processes
Lecture no. (2)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Outline
1.3 Probability computation
Basics
Probability and Random
Processes
Lecture no. (4)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Outline
Part 2 Random variables
2.1 Introduc
Probability and Random
Processes
Lecture no. (9)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Outline
2.6 Derived random variables
Discre
Probability and Random
Processes
Lecture no. (1)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Part 1: Elements of probability theory
1.1 B
Probability and Random
Processes
Lecture no. (3)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Outline
1.4 Conditional probability
2
Multip
Probability and Random
Processes
Lecture no. (8)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Outline
2.5 Some important continuous random
Probability and Random
Processes
Lecture no. (7)
Dr Sherif Rabia
Department of Engineering Mathematics and Physics,
Faculty of Engineering, Alexandria University
[email protected][email protected]
Outline
2.4 Continuous random variables
Prob
( 2015/2016 )
9
Mathematics 9
)(Probability and Random Processes
.
[email protected][email protected]
General overview
2
Math 9  2015/2016 (second term)
What are we going to study?
Probability
The scientific way to deal with r
Arab Academy for Science, Technology and Maritime Transport
College of Engineering and Technology
Department of Basic and Applied Science
Mathematics (3)
BA223
Chapter(1)
Introduction to differential equations
First order ordinary differential equations
P
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