Course Textbooks: A. Papoulis and S. Pillai, Probability, Random Variables and
Stochastic Processes, 4th Edition,. McGraw Hill, 2002 (Chapters 1 through 8).
In The Name of God, The Merciful, The Compassionate
CE181: Engineering Probability & Statistics :: Spring 2012 Department of Computer Engineering Sharif University of Technology
Course Objectives: To make the undergraduate students acquainted with the fundamental concepts of probability theory and statistics with their applications in computer engineering. Course Textbooks: A. Papoulis and S. Pillai, Probability, Random Variables and Stochastic Processes, 4th Edition, McGraw Hill, 2002 (Chapters 1 through 8). S. Ross, A First Course in Probability, 5th Edition, Prentice Hall. Course Description: The course includes fundamental concepts of Probability Theory, Axioms of Probability, Repeated Trials, Random Variables, Distribution and Density Functions, Functions of Random Variables, MultiDimensional Random Variables, Sequence of Random Variables, Statistics, Important Probability Theorems and Selected Topics. Tentative Course Outline: Session
Topic
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
Introduction to probability Theory The Axioms of Probability Repeated Trials The Concept of Random Variable
Function of Random Variables
Two Random Variables
Sequences of Random Variables
Statistics Advanced Topics
Details Classical/Axiomatic Definition Events and their Probability Elementary Operations with Events Conditional probability and Independence Total Probability Theorem and Bayes Theorem Bernoulli Trials Bernoulli Theorem Concepts and Definitions Discrete and Continues Random Variables Specific Random Variables Approximation Methods Mean, Variance, Standard Deviation Moments Generating Functions Functions of Two Random Variables Bivariate and Conditional Distributions Covariance and Correlation Joint Moments The Law of Large Numbers The Central Limit Theorem Random Numbers Convergence Issues Estimation Hypothesis Testing Randomized Algorithms, Probabilistic Methods Random Processes
CE 181 – Engineering Probability & Statistics - Spring 2012
HW/Quiz Quiz#0 Quiz#1 HW#1 Due Quiz#2 Quiz#3 HW#2 Due Quiz #4 Quiz #5 HW #3 Due Quiz #6 Quiz #7 HW#4 Due Quiz #8 Quiz #10 HW#5 Due Quiz #11 Quiz #12 HW#6 Due Quiz #13 HW#7 Due 2
Teacher Assistants: Mohsen Fadaee Ahamad Khajenejad Hamid Haghshenas Behnam Gholami Pooya Samangouyi Mohsen Shojaee Grading: Based on your performance on Homework, Quizzes, Mid-Term and Final Exams. The grade will be determined by: Homework: 30% Mid-Term Exam 1: 10% Mid-Term Exam 2: 20% Final Exam: 40% Quiz: 10%
CE 181 – Engineering Probability & Statistics - Spring 2012
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