1992-1993 Education Catalogue by UCI - University of California Irvine

More catalogs by UCI - University of California Irvine | 1992-1993 Education Catalogue | 388 pages | 2019-12-05

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Page 196 of 1992-1993 Education Catalogue

194 uci 1992-93 • school of physical sciences 145a-b-c topics in analysis 4-4-4 lecture three hours· topics not usually covered in mathematics 140a-b-c such as fourier series calculus of variations operational calculus integral equations prerequisites mathematics 140a-b-c not offered 1992-93 146 fourier analysis 4 s lecture three hours rigorous introduction to the theory of fourier series and orthogonal expansions applications to partial differential equations such as vibrating strings prerequisites mathematics 140a-b 2for 3d mathematics 146 and mathematics 112a may not both be taken for credit 147 complex analysis 4 s rigorous treatment of basic complex analysis analytic functions cauchy integral theory power series residue calculus students are expected to do proofs prerequisites mathematics 140a-b only one course from mathematics 114a mathematics 147 and engineering ecei80 may be taken for credit i 150 introduction to mathematical logic 4 f lecture three hours firstorder logic through the completeness theorem for predicate logic prerequisite consent of instructor mathematics !50 and philosophy 1058 may not· both be taken for credit formerly mathematics 1508 151 set theory 4 w lecture three hours axiomatic development infinite sets cardinal and ordinal numbers prerequisite mathematics 150 mathematics !51 and philosophy los a may not both be taken for credit formerly mathematics 150a 186 foundations of functional programming 4 lecture three hours recursive functions typed and untyped lambda-calculus basic technique of functional programming models fixed point and recursion incompleteness theorem automatic type inference programming examples in scheme lisp and ml prerequisites a three-quarter series selected from mathematics 150a-b-c 123a-b-c or 120 and 121a-b or consent of instructor programming experience required 187 foundations of algebraic specification 4 lecture three hours algebraic structures groups rings formal logics quotients free structures generators and relations multi-sorted algebra elements.of category theory categories and functions examples from algebra and formal logic initial and final objects applications to initial semantics programming examples in obj3 prerequisites a three-quarter series selected from mathematics 150ab-c 123a-b-c or 120 and 121a-b or consent of instructor programming experience required 190 technical writing and communication skills 4 f w s lecture four hours workshop in writing technical reports journal articles proposals oral presentations communicating with the public may not be used in satisfaction of any school or departmental requirement prerequisites upper-division standing satisfaction of the lower-division writing requirement open to mathematics majors only same as chemistry 139 and physics 139 formerly mathematics 139 152 computability 4 s lecture three hours computable functions undecidability goedel s incompleteness theorem prerequisite mathematics 150 mathematics !52 and philosophy 105c may not both be taken for credit formerly mathematics !soc 199a-b-c special studies in mathematics 4-4-4 f w s supervised reading for outstanding undergraduate mathematics majors in supervised but independent reading or research of mathematical topics prerequisite consent of department note canrtot normally be used to satisfy departmental requirements 162a-b introduction to differential geometry 4-4 lecture three hours applications of advanced calculus and linear algebra to the geometry of curves and surfaces in space prerequisites mathematics 20-e and 3a graduate 171a-b-c mathematical methods in operations research lecture three hours prerequisite consent of instructor same as engineering ece181a-b-c 171a linear programming 4 simplex algorithm duality optimization in networks 1718 nonlinear programming 4 conditions for optimality quadratic and convex programming geometric programming search methods 171c integer and dynamic programming 4 multistage decision modeis applications 201a theory of mathematical statistics 4 f lecture three hours review of probability and sampling distributions point and interval estimation sufficient statistics hypothesis testing analysis of categorical data the multivariate normal distribution sequential analysis prerequisites mathematics 120a 130a 133a-b and 121a-b or consent of instructor corequisite concurrent enrollment in mathematics 201la 2018 linear regression analysis 4 w lecture three hours the normal linear regression model confidence ellipsoids for regression coefficient vectors the f-test and its applications to one and two-way analysis of ~ariance analysis of covariance and a test for independence simultaneous confidence intervals prerequisite mathematics 201a corequisite concurrent enrollment in mathematics 20ilb 176 mathematics of finance 4 lecture three hours mathematical theory of interest measurement of interest accumulation and discount equations of value annuities and perpetuities amortization and sinking funds yield rates bonds depreciation depletion topics covered are those inciuded in the section on interest in the third actuarial examination prerequisites mathematics 2a-b-c formerly mathematics 128a not offered 1992-93 201c experimental design 4 s lecture three hours analysis of variance for the linear regression and other models latin squares incomplete blocks nested designs random effects model randomization models confounding prerequisite mathematics 20 i b corequisite concurrent enrollment in · mathematics 201lc 177 mathematical foundations of life contingencies 4 lecture three hours a rigorous mathematical development of single-life functions multilife functions and multiple decrement functions mathematics 176 and 177 prepare the student for the fourth actuarial examination prerequisites mathematics 2a-b-c 176 and either mathematics 130a or 132 formerly mathematics 1288 not offered 1992-93 201la-lb-lc graduate statistics laboratory 2-2-2 f w s laboratory two hours applications to concrete problems of the theory developed in mathematics 201a 2018 201c oral and written reports practice in professional consulting development of statistical computing expertise corequisites concurrent enrollment in corresponding segment of mathematics 201a 2018 201c 179a-b-c math history for mathematicians 4-4-4 lecture three hours broad survey of the evolution of mathematical concepts from ancient to modern times many mathematical exercises prerequisites mathematics 2ab-c and three other mathematics courses or consent of instructor formerly mathematics 149a-b-c not offered 1992-93 202 nonparametric statistical inference 4 f lecture three hours standard nonparametric tests for comparison of two or more treatments tests for randomness and independence corequisites mathematics 201a and concurrent enrollment in 202l 185 foundations of logic programming 4 lecture three hours horn clause logic models the term algebra unification automatic theorem proving by sld resolution basic technique of logic programming completeness theorems effect of the cut and occurs-check programming examples in prolog prerequisites a three-quarter series selected from mathematics 150a-b-c 123a-b-c or 120 and 121a-b or consent of instructor programming experience required 202l nonparametric statistics laboratory 2 f laboratory two hours applications to concrete problems of the theory developed in mathematics 202 oral and written reports practice in professional consulting development of statistical computing expertise corequisite concurrent enrollment in mathematics 202 203a-b-c topics in mathematical statistics 4-4-4 f w s lecture three hours topics include survival analysis risk theory discriminant analy sis time-series analysis statistical decision theory or sequential analysis prerequisites mathematics 201a-b-c uc irvine 1992-1993