Subscribe Course Group: YU_EE254_FALL13

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1 Course Schedule Monday (12 pm 2 pm, Engineering Building B313) Tuesday (2 pm 4 pm, Engineering Building B313) Instructor s Name Office Hours Assist. Prof. Dr. Engin Maşazade [email protected] Office Hours: Monday 3 pm - 6 pm, Tuesday 4 pm 6 pm, Friday 3 pm 4 pm. Subscribe Course Group: YU_EE254_FALL13 DOWNLOAD AND RUN OCTAVE FROM on_tutorials.zip The folder includes a pdf file which describes you how to install and 6 Tutorial Videos with their subtitles. Assistant s Name Phone Textbook & Supplementary Materials Recommended Prerequisites Textbook: Introduction to Probability, 2nd edition, Dimitri Bertsekas and John N. Tsitsiklis, Athena Scientific, Supplementary course material: (a) Problem Solutions, book errata: (b) MIT Open Course Ware (OCW) - Probabilistic Systems Analysis and Applied Probability Course Material: probabilistic-systems-analysis-and-applied-probability-spring-2006/index.htm (c) Lecture Notes: Bertsekas_Tsitsiklis_Introduction_to_probability.pdf (d) A First Course in Probability, Sheldon Ross, Prentice Hall. MATH 152 Calculus for Engineers II Course Outline PART 1: Introduction and Notion of Random Variable: Chapter {MIDTERM 1 Sample Space, Conditional Probability, Combinations, Total

2 Probability Theorem, Bayes Rule, Independence, Counting. PART 2: Discrete Random Variables: Chapters Single Random Variables: Bernoulli, Binomial, Poisson, Geometric Distributions. MIDTERM1}, {MIDTERM 2 Multiple single random variables. PART 3: Continuous Random Variables: Chapters Single Continuous Random Variables: Uniform, Exponential, Gaussian. Bayesian decision rule MIDTERM2}. Multiple continuous random variables PART 4: Further topics: Chapters 5.1, , 4.2 Central Limit Theorem, Covariance and Correlation, Derived distributions, Transforms. FINAL EXAM COVERS EVERYTHING. 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/ 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 Midterm I (Week 8) 20 % Midterm II (Week 13) 20 % s (Five projects using ) 20 % Quiz (Week 4) 5 % Final 35 % Attendance 80 % (If your class attendance falls below 80%, you FAIL the class and have NO right to take the Final make-up (Bütünleme) exam.)

3 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 s 1 4 pts Probability, Conditional Probability 2 4 pts Binomial and Poisson distributions 3 4 pts Normal Distribution, A Simple Communication System 4 4 pts Simple Coded Communication 5 4 pts Bayesian Decision Rule LATE SUBMISSIONS WILL NOT BE TOLERATED. Midterms and Final may include questions from. 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

4 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. vii. viii. 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.) 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.) 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.)

5 ix. Awareness of professional and ethical responsibility. (Mesleki ve etik sorumluluk bilinci.) x. 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.) xi. 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.)