205 INTERMEDIATE CALCULUS I (3) Vec tor functi ons and the ir deri vatives, d ifferenti al and integ ral calculus of several vari abl es, c urves and po lar coo rdinates , infinite se ries. Prerequi site: 106. 206 INTERMEDIATE CALCULUS II (3) Mo re topi cs on infi nite se ri es and calculus of severa l var iab les , differenti al eq uati ons . Prerequis ite: 205 . 294 LINEAR ALGEBRA (3) Topics from matrices, determinants , linear transformations, and vector spaces . Prerequi si te: 205 or consent. 305 ADVANCED CALCULUS (3) The real number system , element ary topo log ical concepts in Cartes ian spaces , co nvergence, co ntinui ty , deri vati ves and integrals. Prerequi s ite : 206 , 294. 315 MODERN ALGEBRA (3) Int roduc ti on to abstract algebra with topi cs from e lementary ring , f ield , and group theories. Emphas is on ring integers , cong ruences, po lynomi al domai ns, permutati on groups . Prerequi s ite : 294 or con sent. 321 NUMERICAL ANALYSIS I (3) Func ti ons of a sing le var iabl e, so luti on of nonlinear equ ati ons , interpo lati on and approx imation of func ti ons, numerical differentiati on and integrati on. Two hours lec ture, three hours laboratory (w ith computer programming) . Prerequi site : 106 or consent. Laboratory fee : $ 15.00. 322 PROBABILITY (3) Sampl e spaces, ax ioms and element ary theorems of probabil ity , combinator ies , independence cond i ti onal probabilit y , Bayes ' Theorem, one and higher d imensional random variab les, d isc rete and continuous random var iabl es, spec ial and multi -var iate di stributi ons. Prerequi s ite: Math 205 or consent. 331 NUMERICAL ANALYSIS II (3) Evaluation of func ti ons, summati on of se ries, estimati on of truncations and round-off errors; so luti on o f linear systems of equ ations, so luti on of ordinary d iffere nti al equat ions. Two hours lecture , three hours laborat ory (with computer programming) . Laboratory fee: $ 15. 00 Prerequi s ite: 106 or consent. 332 STATISTICS (3) Es tim ati o n: co ns iste ncy unbi ased ness , max imum li ke lihood , co nfide nce int er val s. Tes ting hypothes is: Ty pe I and U erro rs , l ikelihood rati o tests , tes t fo r mea ns and variances; reg ress ion and correlation , Chi -square tests , dec ision theo ry , nonparame tric stati stics ; applicat ion o f stati stical
methods. Prerequi site : Math 205 or consent. 333 STUDIES IN APPLIED MATH (3)
One sec tion o ffered alternate years on suff ic ient demand. Course may be repeated w ith d ifferent content (secti on titl e) . Prerequi site: Math 294 or consent. Two hours lec ture , th ree hours laboratory, (with computer programming). Laboratory fee $ 15 .00. Optimization. Mathemati cal fo undati ons of model building, linear programming models, game-theo reti c model s. Ma thema tical models in Physical Sciences . Selec ted exampl es of mathematical models chosen to illustrate ( I) formul ati on o f sc ientific probl ems in mathemati cal terms , (2) the soluti on of the resulting mathematical probl ems , and (3) the interpretati on a nd evaluation of the so luti on . Emphas is on Phys ical Sc ience Model s . Mathematics f or High School Teachers. Heavy emphasi s on mathemati cal models in phys ical , life , or soc ial sc ie nces , graph theo ry, and combinatories.
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