CEE 3770: STATISTICS & APPLICATIONS

Spring 2008

Location: Parb 128

Time : TW 13:35-14:55

 

 

Instructor: Dr. Francesco Fedele, ........ Office: PARB 236

912-966-6785

francesco.fedele@gtsav.gatech.edu

Course Description   In this course the student will be introduced to the basic notions of probability and statistics such as Kolmogorov theory, univariate and multivariate random variables, the central limit theorem, inferential statistics, regression analysis and concept of a stochastic process. These theoretical tools will be applied to solve simple problems in engineering science. Moreover, some numerical simulations with MATLAB will be performed. SYLLABUS

 

POLICY: Georgia Tech’s code of academic integrity will be strictly enforced: “ The members of Georgia Tech community believe that the fundamental objective of the Institute is to provide the students with high quality education while developing in them a sense of ethics and social responsibility. We believe that trust is an integral part of the learning process and that self-discipline is necessary in this pursuit. We also believe that any instance of dishonesty hurts the entire community. It is with this in mind that we have set forth a Student Honor Code at GeorgiaTech “- See the complete text HONOR CODE COURSE GRADINGS      Midterm : 50% (!)     Final Exam : 50% (!)     Oral Exam (!!) Homework will be assigned weekly but not graded (!) answers to exam questions must be complete. No grade will be given to incomplete or unclear answers. (!!) to confirm or reduce final grade

TEXTS: a)    Book: Probability & Statistics by Walpole, Myers, Myers & YE, Eigth edition b)    Online material: (!) http://mathworld.wolfram.com/Probability.html http://mathworld.wolfram.com/Statistics.html http://www.google.com http://www.scholar.google.com   c)   Class notes and handouts   (!) The student is strongly advised to take opportunity of the ‘online Encyclopedia’ available on the net and use it. Sites like the mathworld of Wolfram, goggle and scholar.google are efficient tools to search for ideas, topics and  materials in science.

CLASS-NOTES: Set theory Jan 15 2008 Combinatorics Jan 17 2008 Kolmogorov theory Jan 22 2008 Examples Jan 24 2008 The birthday problem : 1. Jan 29 08 notes 2. java applet 3. website Combinatorics : enumeration rules, numer of ordering, permutations, combinations, etc. .. Repetations: if order matters, if order does not matter , etc... Conditional probability I Jan 31 08 More on Conditional probability II Feb 5 08 Solution practice test I Feb 12 08 Combinatorics again ! Feb 14 08 Bayes' theorem Feb 26 08 Random variables I Feb 28 08 Random Variables II March 06 Random Variables III March 11 GAUSSIAN VARIABLES March 25 Gaussian variables II March 27 Gaussian variables III April 1 Gaussian variabnle IV April 03 Matlab codes for Gaussian variable : Gauss.m Gauss_mean_variation.m Gauss_sigma_variation.m Binomial, Poisson & Exponential distributions April 08 ------ lecture April 08 ------ April 10 _ Exponential distr. proof+multivariate random variables help_session_April_08.pdf April 15 Confidence intervals Help session April 15

The meaning of the MATLAB logo The logo actually is related to a long ago asked question (well, long by my standards... 1960's) regarding the uniqueness of music. More precisely, a question was put forth asking if the eigenmodes (the "notes" if you will) of a 2-D membrane are unique for a given geometry. The answer turns out to be NO! and some of the counter-example geometries are relatively simple shapes. What this has to do with the Matlab logo, is that the logo is a graphical portrayal of one of the eigenmodes for an "L" shaped membrane.   Error Function Gaussian distribution Java applet Cumulative Gaussian table

HOMEWORKS MATH REVIEW HW1 Homeworks : Chapter 2 : 2.1-2.3-2.15-2.16 Solutions#1.pdf PRACTICE TEST 1 Feb 7 08 MIDTERM TEST (March 12 08) - solutions PRACTICE ON RANDOM VARIABLES AND LEAST SQUARE METHOD HOMEWORK ON GAUSSIAN VARIABLES PROBLEMS ON BINOMIAL, POISSON & EXPONENTIAL DISTRIBUTIONS PROBLEMS ON MULTIVARIATE RANDOM VARIABLES

Disclaimer: The instructor reserves the right to amend this course syllabus as necessary. Any changes will be announced in class.

Last  updated: Jan 06 2008 says you're only visitor   since Jan 06 2008

 

 

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