111 FUNDAMENTALS OF MATHEMATICS (3) The number system and algebraic structures; modular arithmetic, set theory, functions , informal geometry, postulational methods. Designed especially for prospective ele mentary school teachers. Cannot be counted toward the major. Either semester. 205 INTERMEDIATE CALCULUS I (3) Indeterminate forms and improper integrals, polar equations, infinite series, vectors in three dimensional space, physical application, partial differentiation and multiple integrals. Prerequisite: 106. 206 INTERMEDIATE CALCULUS II (3) Ordinary differential equations with emphasis on linear equations, systems of differen tial equations, and applications to physics and engineering. Prerequisite: 205. 294 LINEAR ALGEBRA (3) Topics from matrices, determinants, linear transformations , and vector spaces. Pre requisite: 205 or consent of instructor. Alternate years, offered 1971-72. 305, 306 ADVANCED CALCULUS I, II (3, 3) Rigorous analysis of calculus and its foundations, functions of one and more variables, partial differentiation, multiple integrals, line and surface integrals, infinite series, and vector calculus. Prerequisite: 206, 294. Alternate years , offered 1970-71. 315 MODERN ALGEBRA (3) An introduction to abstract algebra with topics from elementary ring, field, and group theories. Special emphasis on ring integers, congruences, polynomial domains , per mutation groups. Prerequisite: 294 or consent of instructor. Alternate years, offered 1971-72. 325 FUNDAMENTAL CONCEPTS OF GEOMETRY (3) Selected topics in Euclidean geometry; the study of various axiom systems for non Euclidean geometry; projective, metric, and affine geometry. Prerequisite: 205. Alter nate years, offered 1970-71. 331 NUMERICAL ANALYSIS AND COMPUTER PROGRAMMING (3) Introduction to problem-oriented languages of computers and principles of problem solving in the sciences by use of computer programming, including interpolation and approximation, numerical differentiation and integration. Prerequisite: Math 205, or Math 106 by permission. Two hours lecture, three hours laboratory. Alternate years , offered 1970-71 . Laboratory fee: $15.00. 332 MATHEMATICAL STATISTICS (3) Introduction to probability, probability distributions, probability densities, mathematical expectation for discrete and continuous random variables. Prerequisite: 205. Alternate years, offered 1970-71. 445 NUMBER THEORY (3) Congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primi tive roots, indices, quadratic reciprocity. Prerequisite: 206 or 294. Alternate years , offered 1971-72. 416 SET THEORY AND LOGIC (3) Informal axiomatic set theory and predicate logic as a foundation for modern mathe matics . Prerequisite: 315. Alternate years, offered 1971-72. 426 MODERN GEOMETRY (3) Coordinate geometry, use of vectors, matrices, and coordinate transformations, matrix vector operations, characteristic values, diagonalization of quadiatic forms. Prerequi site: 294, 325. Alternate years, offered 1971-72. 88
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