# CS/SE 3341 Spring 2012

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3 Course Schedule This schedule may change slightly during the semester. However, the quiz/exam dates are firm. DATES TOPICS CHAPTERS in BOOKS [KT] [MB] [HK] [JD] Jan Introduction. Events and outcomes , , , 1, Probability rules Jan Conditional probability. Independence. 2.4, Bayes Rule. Law of Total Probability. 2.5 Jan 31- Random variables and random vectors Feb 9 Joint and marginal distributions Expectation and variance Feb Discrete distributions: Bernoulli, Binomial, , Geometric, and Poisson Feb Continuous distributions and densities: 3.1, Uniform, Exponential, Gamma, Normal Feb 28-Mar 1 Central Limit Theorem and Normal approximations Mar 6 Review. Preparation for the Midterm Exam Mar 8 The Midterm Exam. Grades due Mar , Mar No class: Spring Break Mar Stochastic processes: concepts and classifications Bernoulli process. Poisson process Mar Markov chains. Transition probabilities Steady-state distribution Apr 3-5 Discrete-time queuing systems. 7.1 Bernoulli single-server queuing process. 7.7, Limited and unlimited capacity. Apr Continuous-time queuing processes. 7.7, M/M/1 system and its steady state. Apr Statistical inference. Parameter estimation , , 6 Apr Confidence intervals and hypothesis testing , 8 May 1 Two-sample statistical procedures , Inference about proportions , , 9.4 May 3 Review. Preparation for the Final Exam. 4, 7, May 12 The Final Exam: (1-7, 8.2) (2-9) 6-10 (1-10) 6-9 (2-9) May 12 (Sat), am 1 00 pm. and and notes notes Quiz Schedule Quiz Day Quiz Day Quiz Day Quiz Day #1 Feb 2 #3 Feb 16 #6 Mar 29 #9 Apr 19 #2 Feb 9 #4 Feb 23 #7 Apr 5 #10 Apr 26 #5 Mar 1 #8 Apr 12

4 Required Calculus and Algebra Skills Concepts and skills When needed Examples Factorial(*) Binomial distribution compute 5!, simplify and compute 35!/33! Sigma-notation Probability Rules compute 10 k=1 k 2 Geometric series Geometric distribution compute j=3 3(0.2) j, j=3 j(0.2) j d Derivatives and integrals Continuous distributions (1 dx e 3x d ), x dx 0 /2 et2 dt Integration of polynomial find b 0 (x2 + 2 x )dx; compute the area under and exponential functions the graph of x 2 between x = 1 and x = 2 Integration by substitution 1 0 e5x dx, x 2 e 5x3 dx Integration by parts Gamma distribution x 2 e x dx Gamma function and compute Γ(4), 0 x 8 e x/5 dx, related integrals(*) simplify Γ(n + k)/γ(n) for k, n > Matrices(*) Markov chains Let A =.9 0.1, B = compute A + B, A B, AB, A 3. Limit Markov chains compute lim x sin(πx) x (*) This material will be presented and discussed in class., lim x 0 sin(πx) x Catalogue Course Description Axiomatic probability theory, independence, conditional probability. Discrete and continuous random variables, special distributions of importance to CS/SE and expectation. Simulation of random variables and Monte Carlo methods. Central limit theorem. Basic statistical inference, parameter estimation, hypothesis testing, and linear regression. Introduction to stochastic processes. Illustrative examples and simulation exercises from queuing, reliability, and other CS/SE applications. Students cannot get credit for both CS/SE 3341 and ENGR (Same as SE 3341) (3 semester hours) (3-0) S Prerequisites: Prerequisites: MATH 1326 or MATH 2414 or MATH 2419, and CE/CS/TE Student Learning Objectives/Outcomes Students will learn fundamental rules of Probability, discrete and continuous distributions, and statistical methods most commonly used in Computer Science and Software Engineering. They will be introduced to stochastic processes, Markov chains, statistical inference, and Monte Carlo methods and will apply the theory and methods to the evaluation of queuing systems and computation of their vital characteristics.

7 Disability Services The goal of Disability Services is to provide students with disabilities educational opportunities equal to those of their non-disabled peers. Disability Services is located in room in the Student Union. Office hours are Monday and Thursday, 8:30 a.m. to 6:30 p.m.; Tuesday and Wednesday, 8:30 a.m. to 7:30 p.m.; and Friday, 8:30 a.m. to 5:30 p.m. The contact information for the Office of Disability Services is: The University of Texas at Dallas, SU 22, PO Box ; Richardson, Texas ; (972) (voice or TTY) Essentially, the law requires that colleges and universities make those reasonable adjustments necessary to eliminate discrimination on the basis of disability. For example, it may be necessary to remove classroom prohibitions against tape recorders or animals (in the case of dog guides) for students who are blind. Occasionally an assignment requirement may be substituted (for example, a research paper versus an oral presentation for a student who is hearing impaired). Classes enrolled students with mobility impairments may have to be rescheduled in accessible facilities. The college or university may need to provide special services such as registration, note-taking, or mobility assistance. It is the student s responsibility to notify his or her professors of the need for such an accommodation. Disability Services provides students with letters to present to faculty members to verify that the student has a disability and needs accommodations. Individuals requiring special accommodation should contact the professor after class or during office hours. Religious Holy Days The University of Texas at Dallas will excuse a student from class or other required activities for the travel to and observance of a religious holy day for a religion whose places of worship are exempt from property tax under Section 11.20, Tax Code, Texas Code Annotated. The student is encouraged to notify the instructor or activity sponsor as soon as possible regarding the absence, preferably in advance of the assignment. The student, so excused, will be allowed to take the exam or complete the assignment within a reasonable time after the absence: a period equal to the length of the absence, up to a maximum of one week. A student who notifies the instructor and completes any missed exam or assignment may not be penalized for the absence. A student who fails to complete the exam or assignment within the prescribed period may receive a failing grade for that exam or assignment. If a student or an instructor disagrees about the nature of the absence [i.e., for the purpose of observing a religious holy day] or if there is similar disagreement about whether the student has been given a reasonable time to complete any missed assignments or examinations, either the student or the instructor may request a ruling from the chief executive officer of the institution, or his or her designee. The chief executive officer or designee must take into account the legislative intent of TEC (b), and the student and instructor will abide by the decision of the chief executive officer or designee. For the complete set of UT Dallas Syllabus Policies and Procedures, see

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