Spring 2012

• The final exam is scheduled at 1:30 pm - 3:30 pm, June 15.

• [June 7] Problems on Poisson distribution
• [June 15] Final exam

• [June 1] Poisson process: Examples (cont'd)
• [June 5] More about Poisson process
• [June 7] Problems on Poisson distribution

• Assignment 4 (due: class hour, June 14)
• Assignment 5 (due: class hour, June 14)

• The midtem exam is scheduled at 1 pm, April 24.

• The final exam is scheduled at 1:30 pm, June 15.

• [May 29] Poisson process: Examples
• [June 1] Poisson process: Examples (cont'd)

• [May 24] No class (ISET 2012)
• [May 29] Poisson process (cont'd)

• [May 22] Poisson process
• [May 24] No class (ISET 2012)

• [May 15] Weak law of large numbers
• [May 17] Bernoulli process
• [May 22] Poisson process

• [May 1] Transforms
• [May 3] Iterated expectations
• [May 8] Sum of a random number of random variables
• [May 10] No class
• [May 15] Weak law of large numbers

• [April 26] No class (midterm exam week)

• [May 1] Transforms

• Assignment 3 (due: 2 pm, April 23) | Solutions

• The midtem exam is scheduled at 1 pm, April 24.

• The midtem exam is scheduled at 1 pm on April 24.

• The midtem exam is scheduled at [ 1 pm] on April 24.

• The midtem exam is scheduled at 1 pm on April 24.

• The midtem exam is scheduled at 1:30 pm on April 24.

• [April 17] Continuous random variables, derived distributions (regular & possible makeup class)

• [April 19] Continuous random variables, derived distributions (cont'd) (regular & possible makeup class)

• The midtem exam is scheduled at 1:030 pm on April 24.

• [April 17] Continuous random variables, derived distributions(regular & possible makeup class)
• [April 19] Continuous random variables, derived distributions (cont'd)(regular & possible makeup class)
• [April 24] Midterm exam
• [April 26] No class

• Assignment 2 (due: April 12) | Solutions
• Assignment 3 (due: 2 pm, April 23)

Kyung-Joon Park\\

• [April 10] Continuous random variables I
• [April 12] Continuous random variables II
• [April 17] Continuous random variables, derived distributions and convolutions (makeup class)
• [April 19] Transforms and iterated expectation (makeup class)

• [April 12] Continuous random variables, derived distributions, and convolutions (makeup class)

• [April 12] Continuous random variables and derived distributions, and convolutions (makeup class)

• [March 29] Multiple discrete random variables
• [April 3, 5] No class
• [April 10] Continuous random variables I and II (makeup class)
• [April 12] Continuous Random Variables and Derived Distributions

• Assignment 2 (due: April 12)

• Assignment 1 (due: March 29) | Solutions

• Assignment 1 (due: March 29) | *Solutions

• Assignment 1 (due: March 29)

• [March 27] Conditional expectation
• [March 29] Multiple discrete random variables

• [March 22] No class
• [March 27] Discrete random variable

• Chapter 1 assignment (due: March 29)

• Assignment 1 (due: March 29)

• Chapter 1 assignment (due: March 29)

• Chapter 1 assignment (due: March 29)

• Chapter 1 assignment (due: March 29) - Chapter 1 assignment

• Chapter 1 assignment (due: March 29) - IC666_Chapter1_Assignment.pdf

• Chapter 1 assignment (due: March 29) - assignment.pdf

• Attach:IC666_Chapter1_Assignment.pdf | Chapter 1 assignment (due: March 29)

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• Chapter 1 assignment (due: March 29) - assignment.pdf

• Chapter 1 assignment (due: March 29) assignment.pdf

• Chapter 1 assignmentassignment.pdf (due: March 29)

• Chapter1_assignment.pdf (due: March 29)

• Chapter1_assignment (due: March 29)

• Chapter1_assignment | link text(due: March 29)

• :Chapter1_assignment | link text(due: March 29)

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• Attach: Chapter1 assignment (due: March 29)

• Attach:Chapter 1 assignment (due: March 29)

• Attach:IC666_Chapter1_Assignment.pdf (due: March 29)

• Attach:IC666_Chapter1_Assignment.pdf?(due: March 29)

• IC666_Chapter1_Assignment.pdf?(due: March 29)

• Attach:Chapter 1 assignment(due: March 29)

• Chapter 1 assignment(due: March 29)

• Attach:Chapter 1 assignment(due: March 29)

• Chapter 1 assignment(due: March 29)

• Chapter 1 assignment | link text(due: March 29)

Attach:IC666_Chapter1_Assignment.pdf | Chapter 1 assignment

• [March 15] Counting
• [March 20] Discrete random variable
• [March 22] Discrete random variable

• Chapter 1 assignment (due: March 29)

• Chapter 1 assignment 1 (due: Sep. 29)

We study applications of probabilistic models in various areas. We also cover the essentials of the undergraudate-level probability course in order to gain a concrete understanding of basic probability models.

• [March 6] Introduction to probabilistic systems
• [March 8] Conditional probability, Bayes' rule, total probability theorem
• [March 13] Independence
• [March 15] Counting

• [March. 15] Counting

• [March. 13] Independence
• [March. 13] Counting

• [March. 8] Conditional probability, Bayes' rule, total probability theorem
• [March. 13] Independence

We study applications in various areas. We also cover the essentials of the undergraudate-level probability course in order to gain a concrete understanding of basic probability models.

The purpose of this course is to build a conceptual understanding of tractable classes of models on discrete stochastic processes. Applications in various areas will also be covered. We also cover some of the undergraudate-level probability course in order to gain a concrete understanding of applications of basic probability models.

The purpose of this course is to build a conceptual understanding of tractable classes of models on discrete stochastic processes. Applications in various areas will also be covered. We also cover some of the undergraudate-level probability course in order to gain a concrete understanding of applications of basic probability models.

• [March. 8] Conditional probability, Bayes' rule, total probability theorem

• Discrete Stochastic Processes, Robert G. Gallager, Springer, 1995. (Draft of the second edition, "Stochastic Processes: Theory for Applications," freely available at http://www.rle.mit.edu/rgallager/notes.htm)

• Discrete Stochastic Processes, Robert G. Gallager, Springer, 1995. (Draft of the second edition, "Stochastic Processes: Theory for Applications" freely available at http://www.rle.mit.edu/rgallager/notes.htm)

• [March. 6] Introduction to probabilistic systems

Course Description:
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Course Description: \\\

Course Description:

Course Description:

Course Description:

Exam 70%, Homework 30%\\\

• Discrete Stochastic Processes, Robert G. Gallager, Springer, 1995. (Draft of the second edition, "Stochastic Processes: Theory for Applications freely available at http://www.rle.mit.edu/rgallager/notes.htm)

Course Description:
A cyber-physical system (CPS) is a system featuring a tight combination of, and coordination between, the system’s computational and physical elements. Various cyber physical systems (CPS) has been being developed and used such as automobiles, smart grid systems, embedded systems, and robotic systems. The CPS is mainly composed of the physical processing component and the computing devices, and the two components are connected to each other through wired and wireless communication networks. This lecture focuses on three key components of physical system model, real-time computing and scheduling, and communication and networking for CPSs.

Grading policies:
Exam 60%, Paper Presentation 20%, Homework & Project 20%

Announcement:

• Assignment 1: Problem 1.4 in Feedback Systems (due: Sep. 29)
• Assignment 2: Plot Fig. 2.7 in Feedback Systems by using Matlab (due: Sep. 29)
• Assignment 3: Problems 2.2 and 2.3 in Feedback Systems (due: Oct. 4)
• Assignment 4: Read Chapters 2 and 3, and solve Problems 2.6 and 3.4 in Introduction to Embedded Systems (due: Oct. 20)
• The midtem exam is scheduled at 1:00 pm on Oct. 27.
• The final exam is scheduled at 1:00 pm on Dec. 15.
  
  

Lectures:

• [Sep. 1] Introduction to cyber-physical systems

• Discrete Stochastic Processes, Robert G. Gallager, Springer, 1995. (Draft of the second edition, "Stochastic Processes: Theory for Applications freely available at http://www.rle.mit.edu/rgallager/notes.htm)

• Discrete Stochastic Processes, Robert G. Gallager, Springer, 1995. (Draft of the second edition, "Stochastic Processes: Theory for Applications freely available at http://www.rle.mit.edu/rgallager/notes.htm

• Discrete Stochastic Processes, Robert G. Gallager, Springer, 1995. (Draft of the second edition, entitled "Stochastic Processes: Theory for Applications freely available at http://www.rle.mit.edu/rgallager/notes.htm

• Introduction to Probability, Dimitri P. Bertsekas and John N. Tsitsiklis, Athena Scientific, 2nd edition, 2008

• Introduction to Probability, Dimitri P. Bertsekas and John N. Tsitsiklis, Athena Scientific, 2nd edition, 2008 \\

• Introduction to Probability, Dimitri P. Bertsekas and John N. Tsitsiklis, Athena Scientific, 2nd edition, 2008

• Discrete Stochastic Processes, Robert G. Gallager, Springer, 1995.

Office hours: By appointment, 3-309 DGIST

Textbooks:

• [Discrete Stochastic Processes], Robert G. Gallager, Springer, 1995.