Biola_Catalog_19710101NA

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 note years, offered 1972-73. 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 1972-73. Laboratory fee: $15.00. 332 MATHEMATICAL STATISTICS (3) Introduction to theory of probability and statistics based on use of calculus; appli­ cation of statistical methods. Prerequisite: 205 . Alternate year, offered 1972-73. 415 NUMBER THEORY (3) Congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive 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.

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