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Department of Mathematics at FAS, AUB
 
Undergraduate Courses

COURSES / PROGRAMS

Statistics

  • STAT 201 Elementary Statistics for the Social Sciences 3.0; 3 cr.
    (Formerly MATH 207) Data organization and frequency distributions; measures of central tendency and dispersion; probability and random variables; binomial and normal distributions; correlation, regression, estimation and hypothesis testing. Open only to arts students whose mathematical preparation does not allow them to take STAT 210. Students can get credit for only one of STAT 201, STAT 210, STAT 230, EDUC 227, and ECON 213. Annually.
  • STAT 210 Elementary Statistics for the Sciences 3.0; 3 cr.
    (Formerly MATH 208) Populations, samples and sampling error; types of data, frequency distributions and graphical displays of data; empirical definition of probability and probability distributions; conditional probability, independence, Bayes' rule and counting rules; discrete and continuous distributions, random variables, binomial, normal and t distributions; point and interval estimation and hypothesis testing; linear regression and correlation. Computer packages may be used to illustrate methods. Students can get credit for only one of STAT 201, STAT 210, STAT 230, EDUC 227, and ECON 213.
  • STAT 230 Introduction to Probability and Random Variables 3.0; 3 cr.
    Display of data, properties of probability, methods of enumeration, conditional probability and independent events; discrete and continuous univariate distributions, generating functions, independent random variables and the central limit theorem.
    Prerequisite: MATH 201. Students can get credit for only one of STAT 201, STAT 210, STAT 230, EDUC 227, and ECON 213. Annually.
  • STAT 233 Advanced Probability and Random Variables 3.0; 3 cr.
    Axiomatic definition of probability, random variables, univariate and multivariate p.d.f. and c.d.f.; expectation; moment generating function; conditional distribution; families of discrete and continuous random variables; distribution of functions of random variables; stochastic convergence and convergence of distribution functions; the law of large numbers and the central limit theorem.
    Prerequisites: MATH 201, and one of MATH 218 or MATH 219. Annually.
  • STAT 234 Introduction to Statistical Inference 3.0; 3 cr.
    Sampling distribution; point and interval estimation; Neyman-Pearson theory of hypothesis testing; likelihood ratio test; sequential analysis; elementary decision theory.
    Prerequisite: STAT 233 or consent of instructor. Annually.
  • STAT 235 Applied Regression Analysis 3.0; 3 cr.
    Straight line regression, multiple regression, analysis of variance and analysis of covariance multiple and partial correlation; hypothesis testing; confounding, interaction and regression diagnostics; discriminant and factor analysis.
    Prerequisite: STAT 233.
  • STAT 236 Sampling Techniques 3.0; 3 cr.
    Simple random, systematic, stratified, cluster and two-stage sampling; estimation of parameters and properties of estimates; ratio and regression estimates; problem of non-response.
    Prerequisite: STAT 234. Annually.
  • STAT 237 Applied Nonparametric Methods 3.0; 3 cr.
    Order statistics; sign test, Wilcoxon signed-rank test and Mann-Whitney test; run test and test for randomness; goodness of fit tests; efficiency.
    Prerequisite: STAT 233 or consent of instructor. Annually.
  • STAT 238 Applied Probability Models 3.0; 3 cr.
    Conditional probability and expectation; discrete and continuous time Markov chains; Chapman-Kolmogorov difference and differential equations; limiting probabilities; branching, Poisson, and birth and death processes; distribution of arrival times; queuing theory.
    Prerequisite: STAT 233 or consent of instructor. Annually.
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