course syllabus

YEDITEPE UNIVERSITY
C OUR SE SYLLA BUS
FACULTY OF ENGINEERING AND ARCHITECTURE
2013/2014-1
Course Code-Name EE254 – APPLIED PROBABILITY
Course Schedule
Monday (12 pm – 2 pm, Engineering Building – B313)
Tuesday (2 pm – 4 pm, Engineering Building – B313)
Instructor’s Name Assist. Prof. Dr. Engin Maşazade
[email protected]
E-mail
Office Hours Office Hours: Monday 3 pm - 6 pm, Tuesday 4 pm – 6 pm, Friday 3 pm – 4 pm.
Subscribe Course E-Mail Group:
YU_EE254_FALL13
https://groups.google.com/d/forum/yu_ee254_fall2013
DOWNLOAD AND RUN “OCTAVE” FROM
https://dl.dropboxusercontent.com/u/1627186/Octave_Installati
on_Tutorials.zip
The folder includes a pdf file which describes you how to install Octave
and 6 Tutorial Videos with their subtitles.
Assistant’s
Name
Phone
E-mail
Textbook &
Supplementary
Materials
Textbook: Introduction to Probability, 2nd edition, Dimitri Bertsekas and
John N. Tsitsiklis, Athena Scientific, 2008.
Supplementary course material:
(a) Problem Solutions, book errata: http://athenasc.com/probbook.html
(b) MIT Open Course Ware (OCW) - Probabilistic Systems Analysis and Applied
Probability Course Material:
http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-041probabilistic-systems-analysis-and-applied-probability-spring-2006/index.htm
(c) Lecture Notes: http://vfu.bg/en/e-Learning/Math-Bertsekas_Tsitsiklis_Introduction_to_probability.pdf
(d) A First Course in Probability, Sheldon Ross, Prentice Hall.
Recommended
Prerequisites
MATH 152 – Calculus for Engineers II
Course Outline
PART 1: Introduction and Notion of Random Variable: Chapter 1.2 – 1.6
{MIDTERM 1  Sample Space, Conditional Probability, Combinations, Total
YEDITEPE UNIVERSITY
C OUR SE SYLLA BUS
FACULTY OF ENGINEERING AND ARCHITECTURE
2013/2014-1
Course Code-Name EE254 – APPLIED PROBABILITY
Probability Theorem, Bayes Rule, Independence, Counting.
PART 2: Discrete Random Variables: Chapters 2.1 – 2.7
Single Random Variables: Bernoulli, Binomial, Poisson, Geometric
Distributions.
 MIDTERM1}, {MIDTERM 2  Multiple single random variables.
PART 3: Continuous Random Variables: Chapters 3.1 – 3.6
Single Continuous Random Variables: Uniform, Exponential, Gaussian.
Bayesian decision rule  MIDTERM2}. Multiple continuous random variables
PART 4: Further topics: Chapters 5.1, 5.4 4.1, 4.2
Central Limit Theorem, Covariance and Correlation, Derived distributions,
Transforms.
FINAL EXAM COVERS EVERYTHING.
Octave Quiz: Week 4 (30/9/2013 – Monday) - 1 hour (Closed Notes)
Midterm I: Week 8 (5/11/2013 – Tuesday) – 1 hour 50 minutes (Open note
and textbook – The notes should be your OWN handwritten notes, using the
lecture notes of others or photocopied notes are prohibited.)
Midterm Dates
Midterm II: Week 13 (17/12/2013 - Tuesday) - 1 hour 50 minutes (Open
note and textbook – The notes should be your OWN handwritten notes, using
the lecture notes of others or photocopied notes are prohibited.)
Final: 2 hour 50 minutes (Open note and textbook – The notes should be
your OWN handwritten notes, course notes of others or photocopied notes
are prohibited.)
Grading
Attendance
Midterm I (Week 8)
20 %
Midterm II (Week 13)
20 %
Projects (Five projects using Octave) 20 %
Octave Quiz (Week 4)
5%
Final
35 %
 80 % (If your class attendance falls below 80%,
you FAIL the class and have NO right to take
the Final make-up (Bütünleme) exam.)
YEDITEPE UNIVERSITY
C OUR SE SYLLA BUS
FACULTY OF ENGINEERING AND ARCHITECTURE
2013/2014-1
Course Code-Name EE254 – APPLIED PROBABILITY
Course Objectives
i. Adequate knowledge in mathematics, science and engineering subjects
pertaining to the relevant discipline; ability to use theoretical and applied
information in these areas to model and solve engineering problems.
ii. Ability to identify, formulate, and solve complex engineering problems;
ability to select and apply proper analysis and modeling methods for this
purpose.
iii. Ability to design a complex system, process, device or product under
realistic constraints and conditions, in such a way as to meet the desired
result; ability to apply modern design methods for this purpose. (Realistic
constraints and conditions may include factors such as economic and
environmental issues, sustainability, manufacturability, ethics, health, safety
issues, and social and political issues, according to the nature of the design.)
iv. Ability to devise, select, and use modern techniques and tools needed for
engineering practice; ability to employ information technologies effectively.
Additional Remarks
Octave Projects
Octave
Project
1
Octave
Project
2
Octave
Project
3
Octave
Project
4
Octave
Project
5
4 pts Probability, Conditional Probability
4 pts Binomial and Poisson distributions
4 pts Normal Distribution, A Simple Communication System
4 pts Simple Coded Communication
4 pts Bayesian Decision Rule
LATE SUBMISSIONS WILL NOT BE TOLERATED. Midterms and Final
may include questions from Octave.
HONOR CODE:
1. My answers to homework, quizzes and exams will be my own work (except for
assignments that explicitly permit collaboration).
2. I will not make solutions to homework, quizzes or exams available to anyone else.
This includes both solutions written by me, as well as any official solutions
provided by the course staff.
3. I will not engage in any other activities that will dishonestly improve my results or
YEDITEPE UNIVERSITY
C OUR SE SYLLA BUS
FACULTY OF ENGINEERING AND ARCHITECTURE
2013/2014-1
Course Code-Name EE254 – APPLIED PROBABILITY
dishonestly improve/hurt the results of others.
Course Outcomes
(Note to instructor: Please list only those outcomes that your course serves)
i.
Adequate knowledge in mathematics, science and engineering subjects pertaining to the
relevant discipline; ability to use theoretical and applied information in these areas to
model and solve engineering problems.
(Matematik, fen bilimleri ve kendi dalları ile ilgili mühendislik konularında yeterli bilgi birikimi;
bu alanlardaki kuramsal ve uygulamalı bilgileri mühendislik problemlerini modelleme ve çözme
için uygulayabilme becerisi.)
ii.
Ability to identify, formulate, and solve complex engineering problems; ability to select and
apply proper analysis and modeling methods for this purpose.
(Karmaşık mühendislik problemlerini saptama, tanımlama, formüle etme ve çözme becerisi; bu
amaçla uygun analiz ve modelleme yöntemlerini seçme ve uygulama becerisi.)
iii.
Ability to design a complex system, process, device or product under realistic constraints
and conditions, in such a way as to meet the desired result; ability to apply modern design
methods for this purpose. (Realistic constraints and conditions may include factors such as
economic and environmental issues, sustainability, manufacturability, ethics, health, safety
issues, and social and political issues, according to the nature of the design.)
(Karmaşık bir sistemi, süreci, cihazı veya ürünü gerçekçi kısıtlar ve koşullar altında, belirli
gereksinimleri karşılayacak şekilde tasarlama becerisi; bu amaçla modern tasarım yöntemlerini
uygulama becerisi. (Gerçekçi kısıtlar ve koşullar tasarımın niteliğine göre, ekonomi, çevre
sorunları, sürdürülebilirlik, üretilebilirlik, etik, sağlık, güvenlik, sosyal ve politik sorunlar gibi
öğeleri içerirler).
iv.
Ability to devise, select, and use modern techniques and tools needed for engineering
practice; ability to employ information technologies effectively.
(Mühendislik uygulamaları için gerekli olan modern teknik ve araçları geliştirme, seçme ve
kullanma becerisi; bilişim teknolojilerini etkin bir şekilde kullanma becerisi.)
v.
Ability to design and conduct experiments, gather data, analyze and interpret results for
investigating engineering problems.
(Mühendislik problemlerinin incelenmesi için deney tasarlama, deney yapma, veri toplama,
sonuçları analiz etme ve yorumlama becerisi.)
vi.
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to
work individually.
(Disiplin içi ve çok disiplinli takımlarda etkin biçimde çalışabilme becerisi; bireysel çalışma
becerisi.)
vii.
Ability to communicate effectively both orally and in writing; knowledge of a minimum of
one foreign language.
(Sözlü ve yazılı etkin iletişim kurma becerisi; en az bir yabancı dil bilgisi.)
viii.
Recognition of the need for lifelong learning; ability to access information, to follow
developments in science and technology, and to continue to educate him/herself.
(Yaşam boyu öğrenmenin gerekliliği bilinci; bilgiye erişebilme, bilim ve teknolojideki
gelişmeleri izleme ve kendini sürekli yenileme becerisi.)
YEDITEPE UNIVERSITY
FACULTY OF ENGINEERING AND ARCHITECTURE
C OUR SE SYLLA BUS
2013/2014-1
Course Code-Name EE254 – APPLIED PROBABILITY
ix.
x.
xi.
Awareness of professional and ethical responsibility.
(Mesleki ve etik sorumluluk bilinci.)
Information about business life practices such as project management, risk management,
and change management; awareness of entrepreneurship, innovation, and sustainable
development.
(Proje yönetimi ile risk yönetimi ve değişiklik yönetimi gibi iş hayatındaki uygulamalar
hakkında bilgi; girişimcilik, yenilikçilik ve sürdürebilir kalkınma hakkında farkındalık.)
Knowledge about contemporary issues and the global and societal effects of engineering
practices on health, environment, and safety; awareness of the legal consequences of
engineering solutions.
(Mühendislik uygulamalarının evrensel ve toplumsal boyutlarda sağlık, çevre ve güvenlik
üzerindeki etkileri ile çağın sorunları hakkında bilgi; mühendislik çözümlerinin hukuksal
sonuçları konusunda farkındalık.)