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01142 Probability Theory
Danish title: Sandsynlighedsregning
Language:  Danish    ECTS-creditpoints:  5, External examination.   
Type:  , open university
Class schedule:   E3-A
Exam schedule:   E3-A (dec 15 2001), F3-A (maj 31 2002)
Recommended semester:  4th -7th semester
Scope and form:  Lectures, group study and homework problems.
Evaluation:  Written exam
Examination:  13-scale
Previous course:  C0142
Prerequisites:  01020 / 01021 or 01002 / 01003 or 01005, 01030 / 01031 / 01032 / 01034 / 36260
Aim:  To provide the student with an understanding of probabilistic reasoning, to enable him / her to apply it within different technical subjects and to give the necessary mathematical foundation for statistical subjects.
Contents:  The concept of probability, conditional probability, independence. Random variables, mean value, variance, covariance. Weak convergence. The most important probability distributions, including the binomial distribution, the Poisson distribution, the exponential distribution and the normal distribution. Generating functions, Laplace transformations. Stochastic processes, including the Poisson process, Markov chains, birth- and death processes, queueing theory.
Contact:  Ole Groth Jørsboe, building 303, (+45) 4525 3059, o.joersboe@mat.dtu.dk
Department: 001 Department of Mathematics
Course URL:  http://www.mat.dtu.dk/courses/01142
Keywords:  Probability, Random variables, Distributions, Markov chains
Updated:  04-05-2001