2005/2006 - Registrar - McMaster University

'I', MATH 4J03* GRAPH THEORY ,Graphs, trees, bipartite graphs, connectivity, graph colourillg, matrixrepresentations, applications.Three lectures; one termPrerequisite: MATH 2A03, 2R03' l'MATH 4L03 ' INTRODUCTION TO MATHEMATICAL LOGICFirst order logic, deduction systems,completeness and compactness"theorems, model theory.'Three lectures; one termPrerequisit(3: MATH 3E03 ,MATH ,4Q03 NUMERICAL METHODS FOR ORDINARY AND, PARTIAL DIFFERENTIAL EQUATIONS 'Methods for ordinary initial and boundary value problems. Stiff systems.Solution of partial differential equations: finite difference, finite element;boundary element methods. Convergence a,nd stability analysis.Three lectures; second term, , "Prerequisite: Credit or registration in MATH'3D03 or 3FF3; or permissionof the instructor ' ,Antirequisite: MATH 3Q03 ' ,, ,MATH 4S03* ' ' THE THEORY OF COMPUTABILITY ,Automata and regular languages, Turing machines,' recursive functions,decidability, Godel's incompletenes$theorems.', Three lectures; one term' 'Prerequisite: MATH 2R03 and credit or (egistration'in any Level III or IV,Mathematics courseAntirequisite: COMP SCI4TC3MATH 4'-03* ,ALGEBRAIC TOPOLOGY ,Fundamental groups and 60vering spaces, tppics se.iected by the instructor.' ,"'.,Three lectures; one termPrerequisite: MATH 3E03; and MATH 3A03 or 3S03 .MATH,4V03 APPLIED MATHEMATICAL ANALYSIS'Lebesgue integration, distribution theory, Fourier Analysis, partial differen-, tial equations, integral equations, calculus of variations; additional tOPics., Three lectures; one term ' {Prerequisite: MATH 3D030r 3FF3MATH 4W03 ' TOPICS IN MATHEMATICSDirected reading in areas of'mathematics of interest to the studel")t andthe instructor. ' ,Prerequisite: Permission of the Chair of the Department 'MATH 4X03 ' COMPLEX ANALYSIS 11_Conformal maps; analytic continuation, harm,onic functions, the Riemannmapping theorem, Riemann surfaces;' , ,"T:hree lectures; one termPrerequisite: MATH 3X03Department Note:,Students wishing to' register in' any Mathematics and Statistics specializationmusttakeMATH 1 AA3 and 1803., C()urses If no prerequisite is listed, the course is open.STATS 1 A03 STATISTICAL REASONING'The basic ideas of graphical displays, sampling methodology and probabilityare developed through diverse examples from a wide range ofdisciplines." - ,Three lectures, one tutorial; one termPrerequisite: OSS Grade 11 Mathematics or OSIS Grade 12 Mathematics', Not open to students registered in the' Faculty of Science or in a Kinesiologyprogram.Not open to students with credit or registration in COMMERCE 2QA3,, ECON 2803, PSYCH 2RR3, SOC SCI2J03, STATS 1CC3, 2D03,2MA3,'2M83.'STATS ,1 CC3, INTRODUCTORY COMPUTER-AIDED STATISTICSApplied statistics including simple probability calculations based on binomial,Poisson and normal distributions,with emphasis dn inferential meth~ods and linear regression using computer statistics packages., ,Two lectures, one lab (two hours); one termPrerequisite: MATH 1 M03 or credit or registration in MATH 1 A03, Antirequisite: COMMERCE 2QA3" ECON 2803, HTH SCI 1 F03" 2A03,PSYCH 2G03, 2R03' ,Not open to students with credit in any Levell/or above, Statistics course.See Depa~rtment Note above.MATHEMATICS' AND STATISTICS, 245STATS 1L03 PROBABILITY AND LINEAR ALGEBRAThe algebra of probability,.condiJional probability and independence, discreteand continuous random variables,mean and variance, matrices,,determinants, Cramer's rule,solutioq of linecHsquations.Three lectures, one tl,.ltorial; one term ,Prerequisite: OSS Grade 1 t Mathematics or OSIS Grade 12 MathematicsNot open to students with credit in Grade 12 Mathematics of Data ManagementU (or OAC Finite Mathematics) or STATS 1 CC3, 2003, 2MA3, 2M83. 'Not op~n to stvdents' rf?gistered in Science or Engineering programs.Students transferring to the Faculty of Science do not retain credit forthis course.',STATS 2003 PROBABILITY THEORYCombinatoric!:;, . independence, conditioning; Poisson-process; 'discrete, and continuous distributions wi'th statistical applications; expectation, 'transformatiqns, order statistics. Distribution of sample mean and vari~ance, moment-generating functions, central limit theorem. 'Three lectures; one termPrerequisite: MATH 1 A03 or 1 M03; and credit or registration in MATH 1803Not open to students with. credit or registration in STA TS, 2A03" 2M1;\3., STATS 2MA3 PRO'BABILITY AND STATISTICAL ', "METHODSFOR SCIENCE ,Combinatorics; discrete and continuous probability distributions; expectations;central limit theorem; pOint and- interval' estimation; hypothesis, testing;, regression and correlation; analysis of variance. 'Three lectures; one termPrerequisite:ST ATS 1 CC3; and' MATH 1 A03 or1 M03Antirequisite: ECON 2B03Not open to students with creditor regi$tration in COMMERCE 2QA;3,ECON 2803, SOC SCI 2J03, STATS 2A03,' 2003, 2M83,,STATS 2MB3STATISTICAL METHODSEstimation; sampling distributi0l)s; confidence intervals; hypotheSis test­Ing; power; rOb'ustness; analysis of variance for one ,and two factordesigns; linear regression; grapHical methods; statistical computingusing. software package R.''Three lectures;, one term· ,Prerequisite: STATS 2D03. Antirequisite:ECo'N 2803, PSYCH 2R03, 2RR3, STATS 2R06.Not open to student$ with credit or registration in COMMERCE 2QA3,ECON 2803, SOC SC12J03~ 'STATS-2AO$,2MA3.·STATS 3A03 REGRESSION AND DESIGN OFEXPERIMENTSIntroduction to SAS, linear modets, regression and inference; diagnos~tics, analysis of variance, randomized block designs, latin squares, and·,factorial experiments using SAS.Three Jectures;one term 'Prerequisite: Credit or registration in STATS 3D03Antirequisite: STATS 4803' .STATS 3003 MATHEMATICAL STATISTICS I 'The, multivariate normal distribution, sampling distributions, limiting distributions,introduction to statistical inference.Three lectures; one term. Prerequisite: ST ATS 2D03 and one of MATH 2A03,2L03, 2Q04Antirequislte: STATS 3D06· ,STATS 3003 ' MATHEMATICAL STATISTICS IIEstimation tests of hypotheses, sufficient statistics,inference about normalmodels, and selected topics :from rotius~ inference, Bayesian inference;nonparametic inference and resampling methods.Three lectures; one term.Prerequisite: STATS 3D03Antirequisite: STATS 3D06STATS 3G03* ACTUARIAL· MATHEMATICS, ISurvival distrlbu.tions; life tables, life insuranpe, life annuities, net premiumsand reserves.Three lectures; one termPrerequisite: STATS 2D03 and credit or registration in MATH2K03Offered in alternate years. .Notoffered in 2005-2006. .• 'STATS 3H03* ACTUARIAL MATHEMATICS IIMultiple life functions, multiple decrement models, valuation theory forpension plans. ., .Three lectures; one termPrerequisite: ST ATS 3G03, Qffered in alternate years.. Not 'offered in 2005-2006.