119 Pages

#### Mathematical Methods of Engineering Analysis

Course: INDUSTRIAL ie500, Spring 2009

School: Bilkent University

Word Count: 44161

Rating:

###### Document Preview

Methods Mathematical of Engineering Analysis Erhan Cinlar Robert J. Vanderbei February 2, 2000 Contents Sets and Functions 1 Sets . . . . . . . . . . . . . . . . . . . . Subsets . . . . . . . . . . . . . . Set Operations . . . . . . . . . . Disjoint Sets . . . . . . . . . . . Products of Sets . . . . . . . . . 2 Functions and Sequences . . . . . . . . . Injections, Surjections, Bijections Sequences . . . . . ....

##### Unformatted Document Excerpt
Coursehero >> Turkey >> Bilkent University >> INDUSTRIAL ie500

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Bilkent University - INDUSTRIAL - ie500
Introduction to Probability 2nd Edition Problem Solutions(last updated: 7/31/08)cDimitri P. Bertsekas and John N. TsitsiklisMassachusetts Institute of TechnologyWWW site for book information and orders http:/www.athenasc.comAthena Scientific, Belmon
Bilkent University - INDUSTRIAL - ie500
Schaum's Outline ofTheory and Problems of Probability, Random Variables, and Random ProcessesHwei P. Hsu, Ph.D. Professor of Electrical Engineering Fairleigh Dickinson UniversityStart of Citation[PU]McGraw-Hill Professional[/PU][DP]1997[/DP]End of Cita
Bilkent University - INDUSTRIAL - ie500
.. . .I';.(1.8&lt;.Supplementary Problems. : . ., . . : :. . . . .~.: . . . .5 61.8.1 S = (1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6), z;c yoc*uos &amp; ,;&quot;,&gt;, ,.? 208% 7Gj5:.:. r&amp;C _ i&lt;'-,.. 3,' . :. . . . . . . .-. -. . , . .:.=c ?'i
Bilkent University - INDUSTRIAL - ie500
INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTSThird EditionLIMITED WARRANTY AND DISCLAIMER OF LIABILITYAcademic Press, (AP) and anyone else who has been involved in the creation or production of the accompanying code (the produ
Michigan State University - HIST - 325
HST 325 syllabus and exam
Michigan State University - HIST - 325
First and Second Paper Assignment - HST 325 Americans and their leaders believe the United States to be the greatest nation on the earth. Both presidential candidates in the 2008 election used this language of American exceptionalism. This rhetoric has a
Ohio State - HDFS - 360
TheOhioStateUniversity CollegeofEducationandHumanEcology DepartmentofHumanDevelopmentandFamilyScience HDFS360D:FamilyDevelopment Autumn,2008 Instructor:KevinJ.Meyer,PhD Office:127CampbellHall Mailbox:135CampbellHall Email:meyer.256@osu.edu OfficeHours:Bya
Ohio State - BIO - 101
Events in the Origin of Life: Four Views: Special Creation (from god), Spontaneous Generation (from things), Panspermia (from outerspace), and Biogenesis (from pre-existing life) Biogenesis: life evolved on earth; 4 stages: abiotic synthesis of organics,
Ohio State - BIO - 101
Bio Final Exam Review ARTICLES Can Evolution Run in Reverse?: can protein that changes in one direction resume the old amino acid sequence? Dollos Law and Thronton say no. Glucocorticoid: receptor for cortisol that reduces stress. Evolutionary history: 45
Ohio State - HDFS - 361
Ch.1:AnIntroductiontoChildDevelopmentChild Development Includes: -Physical development Examines: the brain nervous system muscles need for food, drink, and sleep -Cognitive development Examines: learning memory problem solving intelligence -Social and pe
Ohio State - SOC - 101
Chapter 4: Social Interaction in Everyday Life-Social interaction: process by which people act and react in relation to others Members of society rely on social structure to make sense out of everyday situationsStatus: social position that a person hol
Ohio State - SOC - 101
EXAM 2 REVIEW Ch. 5 Social Groups and Organizations Social groups: two or more people who identify with and interact with one another Crowds: loosely formed collection of people in one place Categories: people with a status in common Primary groups: small
Ohio State - HDFS - 367
Ch. 8 Reading Guide 1. There are five natural regions in Subsaharan Africa. - The TROPICAL RAIN FOREST region is found in the equatorial portions of the Democratic Republic of Congo, much of Gabon, and the Republic of Congo, south and central Cameroon, th
Ohio State - HDFS - 361
Ch.3:GeneticsandPrenatalDevelopmentGENETICS16:04-Our genetic code is stored in our genes. All genes are composed of DNA (deoxyribonucleic acid) that determines the nature of every cell in our bodies and how they will function. -46 chromosomes are organ
Ohio State - HDFS - 361
Ch.4:BirthandtheNewbornInfant16:25-The neonate (newborn) comes into the world after the process of labor Corticotropin releasing hormone (CRH) triggers the release of hormones that start the process leading to birth. Braxton-Hicks contractions, also cal
Ohio State - HDFS - 361
Ch.5:PhysicalDevelopmentinInfancyPHYSICAL GROWTH -The average newborn weighs just over 7 pounds -By 5 months, the average infants birthweight has doubled to around 15 pounds -By the first birthday, the infants weight has tripled to 22 pounds -By the end
Ohio State - HDFS - 367
Ch. 6: Life Cycle III (Workers with Young Children) Families with young children experience numerous demands on their time and energy since young children need constant care and to be closely supervised In single-parent homes, or homes in which both paren
Ohio State - HDFS - 367
Ch. 7 Reading Guide 1. Most people (65%) in the Middle East and North Africa (MENA) live in urban areas. 2. The causes of rapid urban growth in the 20th century are high rates of natural increase and large number of rural dwellers shifting their residence
Ohio State - SOC - 101
Ch. 8: Social StratificationSocial stratification: a system by which a society ranks categories of people in a hierarchy; based on 4 important principles:1. A trait of society, not simply a reflection of individual differences. 2. Carries over from gene
Ohio State - HDFS - 367
Ch. 1 Reading Guide1. Development is a process of change that leads to improved well-being in peopleslives, takes into account the needs of future generations, and is compatible with local cultural and environmental contexts. It is hard to define becaus
Ohio State - GEO - 200
Chapter 2 Reading Guide1. Humans first entered the Americas 10-25,000 years ago on a land bridge, whichconnected Alaska with Asia.2. Europeans arrived in America with communicable diseases such as measles andsmallpox, causing the decimation of the nat
Ohio State - SOC - 101
Chapter2-Theories are explanations and predictions concerning phenomena of interest, p roviding a framework for understanding the relationship among an organized set of facts or principles M AJOR PERSPECTIVES ON CHI LD DEVELOPMENT Psychodynamic Behaviora
Ohio State - GEO - 200
Chapter 3 Reading Guide1. There are linguistic, political, and technological differences among the Latin American peoples.Latin America includes three of the largest and most richly endowed countries on Earth (Mexico, Argentina, and Brazil) as well as c
Ohio State - GEO - 200
Chapter 5 Reading GuidePhysical and Human Overview 1. Be able to point out the general locations of the Ural Mountains and Caucasus Mountains on a map. 2. Explain what a continental climate is and the reasons why Russia has this type of climate. 3. Descr
Ohio State - CHEM - 121
Chapter 9: Options Besides MarriageSingles The marriage problem?: A matter of perspective Marriage being postponed: 27 (M)/26 (W); women reflecting the biggest change Singles are diverse in nature; most will marry eventually Types of singles: 1. Voluntar
Ohio State - ECON - 201
C HAPTER 10 1 The concept of aggregate supply refers to a: c. 2 schedule of output.The aggregate supply curve is drawn with:c. the price level on the vertical axis and real GDP on the horizontal. 3 Many economists are in favor of increased immigration o
Ohio State - HDFS - 360
Chapter 10: Marriage and CommunicationWhy do we marry? By 30, 75% of US adults are marriedwhy? Positive: 1.Love/companionship 2.Children 3.Identity 4.Commitment/fulfillment 5.Continuity/Permanence Negative: 1.Social legitimacy 2.Pressure 3.Economic secur
Ohio State - CHEM - 121
The Quantum Mechanical AtomCharacteristics of Atoms Atoms: possess mass contain positive nuclei contain electrons occupy volume have various properties attract one another combine to form molecules Electromagnetic Radiation Used to study atoms Light is j
Ohio State - CHEM - 121
Experiment 1: Measurements of Mass and Volume; DensityCarolynn H. BoehChemistry 121 10/1/2008 T.A. - Jinquan ChenPurpose: Procedure:The purpose of this lab is to learn how to properly use the top-loading balance, analytical balance, buret, and pipet t
Ohio State - HDFS - 360
Chapter 6: Love and Loving RelationshipsWhat is love? - Self-love: basis for self-esteem; prerequisite/foundation for a relationship - Love and Friendship: Whats included in a friendship? (8 ingredients) 1. enjoyment 2. acceptance 3. trust 4. respect 5.
Ohio State - HDFS - 360
Chapter 5: Socialization and Gender RolesDefinitions - Sex: Biological characteristics (genitalia and chromosomes)/either male or female (influences behavior, but does not determine behavior) - Gender: Learned attitudes/behaviors that differentiate betwe
Ohio State - HDFS - 360
Chapter 7: SexualityThe Basics - Sexual identity: awareness of ourselves as male/female and the ways we express our values, attitudes, feeling, and beliefs. - Sexual desire: Drive that makes us receptive - Sexual response: biological aspects of sexuality
Ohio State - HDFS - 360
Chapter 8: Choosing OthersThe Dating Game - How often? Majority of 18 + Americans are dating or would like to be (declined in the under 18 demographic: 27% of HS senior are) - Why do we do it? Manifest vs. Latent functions Manifest: Maturation/Fun/Compan
Ohio State - HDFS - 360
Chapter 1 : The Changing FamilyDefinitions -Over past 20-30 years, typical American family has changed a lot - What is a marriage?: socially approved relationship that is expected to be stable; shaped, guided, and regulated by social norms. -Being challe
Ohio State - HDFS - 360
Chapter 2 : Studying Marriage and the FamilyTheories and Research - Why is it important to talk about and know these different theories and research? 1)What we dont know can hurt us; getting fed misinformation, etc. 2) Help us understand; make sense of w
Ohio State - HDFS - 367
Geography Ch. 5 Reading Guide 1.The Ural Mountains are located to the right of Kazan and Samara and to the left of Yekaterinburg and Chelyabinsk, above Kazakhstan. The Caucasus Mountains are located on the border of Russia, and continue through Georgia a
Ohio State - SOC - 101
CHAPTER 2:CultureWhat is Culture? Culture: the ways of thinking, the ways of acting, and the material objects that together form a peoples way of life Nonmaterial culture consists of ideas created by members of a society (art to Zen) while material cult
Ohio State - SOC - 101
CHAPTER 2:CultureWhat is Culture?-Culture: the ways of thinking, the ways of acting, and the material objects that together form a peoples way of life Nonmaterial culture consists of ideas created by members of a society (art to Zen) while material cu
Ohio State - SOC - 101
Chapter 3: Socialization: From Infancy to Old AgeSocial Experience: The Key to Our Humanity-Without social experience, a child is not able to act or communicate in a meaningful way and seems to be more of an object than a person Socialization: lifelong
Punjab Engineering College - IE - 402
workshop information
SUNY Stony Brook - CSE - 306
What is an Operating System?A piece of software that provides a convenient, ecient environment for the execution of application (user) programs. OS provides an environment for applications it is not itself the applications. OS should consume as few resou
SUNY Stony Brook - CSE - 306
Computer Security, SSH, and CVS RepositoriesGOAL: Explain about using SSH and CVS and at the same time introduce some concepts from computer security.Authentication and Authorization Authentication is a procedure by which you identify yourself to a com
SUNY Stony Brook - CSE - 306
Computer Architecture for MultiprogrammingGoal: Review typical hardware features in a modern computer, which are used to support multiprogramming.Bus ArchitectureCPU State General purpose registers. Program counter (PC). Stack pointer (SP). Processor
SUNY Stony Brook - CSE - 306
Introduction to NACHOSNACHOS is a real operating system that supports the execution of programs on a simulated computer. The NACHOS kernel is written in Java and it runs under a native JVM on the host processor/operating system. (e.g. Intel x86/Windows).
SUNY Stony Brook - CSE - 306
Race ConditionsMultiple concurrent activities accessing shared data leads to race conditions, in which the result of execution depends on the exact timings of accesses to this data.Race Conditions: The CauseThe basic cause of race conditions is that th
SUNY Stony Brook - CSE - 306
How NACHOS Loads and Executes an Application ProgramThe next several slides trace through the actions taken by the NACHOS kernel in loading and executing the halt program.NACHOS Starts Execution of NACHOS starts in method main() of class Nachos. The rs
SUNY Stony Brook - CSE - 306
C Runtime EnvironmentNACHOS supports an application runtime environment that is much like that provided to C programs by original versions of Unix. The next several slides cover things you need to know about C and this runtime environment in order to wor
SUNY Stony Brook - CSE - 306
CPU SchedulingThe CPU scheduling portion of an operating system is concerned with deciding the order in which processes receive a turn on the CPU. The choice of scheduling policy can have a large impact on system performance. The objective of the CPU sch
SUNY Stony Brook - CSE - 306
Device DriversA device driver is the portion of an operating system that is concerned with the control of a particular kind of device. Responsibilities: Identifying and conguring the device on system startup. Queueing and scheduling requests originating
SUNY Stony Brook - CSE - 306
Disk Organization and SchedulingOne of the functions of a disk driver is to schedule requests, taking into account physical drive characteristics in order to achieve ecient operation.Hardware Components of Disk SubsystemDisk Drive: May be xed head or m
SUNY Stony Brook - CSE - 306
File SystemsThe lesystem portion of an OS organizes mass storage into les, which are named collections of data. Traditional responsibilities are: Providing device independence. Implementing symbolic names for data. Checking access permissions. Guaranteei
SUNY Stony Brook - CSE - 306
Virtual MemoryVirtual memory is a mechanism that permits a process to be run without having the entire contents of its address space loaded into main memory at one time. The part of the address space that is loaded into main memory is called resident. Th
SUNY Stony Brook - CSE - 306
DeadlocksA process is deadlocked if it is waiting for a particular event that will never occur. In an OS, deadlocks may be possible whenever a process blocks awaiting resources (memory, les, entries in kernel tables, swap space, etc.)Real-life Example:
LSU - ACCT - 3222
CHAPTER 21 ASSURANCE, ATTESTATION, AND INTERNAL AUDITING SERVICESAnswers to Review Questions 21.1 Assurance services are independent professional services that improve the quality of information, or its context, for decision makers. The definition focuse
LSU - ACCT - 3222
Chapter 01 An Introduction to Assurance and Financial Statement AuditingCHAPTER 1 AN INTRODUCTION TO ASSURANCE AND FINANCIAL STATEMENT AUDITINGAnswers to Review Questions1-1 The study of auditing is more conceptual in nature compared to other accountin
LSU - ACCT - 3222
CHAPTER 2 THE FINANCIAL STATEMENT AUDITING ENVIRONMENTAnswers to Review Questions2-1 During the late 1990s and early 2000s, accounting firms aggressively sought opportunities to expand their business in nonaudit services such as consulting. This expansi
LSU - ACCT - 3222
CHAPTER 3 RISK ASSESSMENT AND MATERIALITYAnswers to Review Questions3-1 Audit risk is the risk that the auditor may unknowingly fail to appropriately modify the opinion on a set of financial statements that are materially misstated. Engagement risk is t
LSU - ACCT - 3222
CHAPTER 4 AUDIT EVIDENCE AND AUDIT DOCUMENTATIONAnswers to Review Questions4-1 Auditors typically divide the financial statements into components or segments in order to make the audit more manageable. A component can be a financial statement account or
LSU - ACCT - 3222
CHAPTER 5 AUDIT PLANNING AND TYPES OF AUDIT TESTSAnswers to Review Questions5-1 The auditor should inquire of the prospective client's bankers and attorneys, credit agencies, and other members of the business community who may have knowledge about the i
LSU - ACCT - 3222
CHAPTER 6 INTERNAL CONTROL IN A FINANCIAL STATEMENT AUDITAnswers to Review Questions6-1 From management's perspective, the internal control provides a way to meet its stewardship or agency responsibilities. Management also needs a control system that ge
LSU - ACCT - 3222
Chapter 07 - Auditing Internal Control over Financial ReportingCHAPTER 7 AUDITING INTERNAL CONTROL OVER FINANCIAL REPORTINGAnswers to Review Questions7-1 Following are managements and the auditors responsibilities under Section 404 of the Sarbanes-Oxle