1975-1976 Academic Catalog

98 Cedarville College 386 Modem Geometry - Sp 5 hours Advanced Euclidean and projective geometries. A study of lines, similar figures, loci, properties of triangle and circle, inversion and three dimensional vector geometry. Prereq– uisite: High School Plane Geometry, Mathematics 184 and 185 or equivalent (Alternate, odd years) 387 Differential Equations - A 5 hours A study of the standard techniques employed in the solution of differential equations with emphasis on those arising from physical problems. Prerequisite: Mathematics 283 388 Advanced Calculus W 5 hours Topics in differential calculus, functions and series. Includes partial differential equa- tions and Fourier Series. Prerequisite: Mathematics 387 (Alternate, odd years) 394 Linear Algebra - A 5 hours The course is an introduction to the algebra of linear equations, including determinants, matrices, vector spaces, eigenvalues, and eigenvectors, and linear mapping. Prerequisite: Mathematics 283 (Alternate, even years) 396 Modern Algebra - S 5 hours Sets and logic are introduced, and the development of algebraic systems, groups, rings, integral domains and fields are studied. Prerequisite: Mathematics 282 (Alternate, even years) 480 Topics in Mathematics 2-5 hours Various topics to be offered as interest may demand. Intended for majors in mathemat– ics. Permission of instructor required. Some typical topics: (a) Matrix Algebra, (b) Vector Analysis, (c) Numerical Analysis, (d) Introduction to Computer Programming, and (e) Partial Differential Equations. 490 Independent Study in Mathematics 1-4 hours An opportunity to perform independent research in the various branches of mathematics and allied fields of application. Submission and approval of a research proposal must precede registration. Prerequisite: Major in mathematics and permission of research advis– or