Page 106 of Saint Anselm College 2003 - 2004 Catalog by Saint Anselm College Manchester New Hampshire

105 5 A study of the nature and development of some of the most important The Nature of mathematical ideas. Topics may include, but are not limited to: infinity, Mathematics variation, symmetry, numbers and notation, topology, mathematics and calculating machines, dimension, coordinate systems, dynamical systems, randomness, and probability. 7-8 A study of the differentiation and integration of algebraic and transcen- Calculus with dental functions with applications. Topics in analytic geometry include Analytic a study of conics. Four credits, each semester. Geometry I-II Prerequisite: 2 years of high school algebra and a half year of trigonometry. 11 A continuation of Mathematics 7-8. Topics include infinite sequences Calculus III and series, vectors and vector calculus, and multivariable calculus. Prerequisite: Mathematics 8. 22 A study of vector analysis and ordinary differential equations and their Vector Analysis applications. Topics include vector fields, line and surface integrals, and Differential first order differential equations, linear differential equations, and sys- Equations tems of differential equations. Prerequisite: Mathematics 11. 23-24 A study of probability distributions and their application to statistical Mathematical inference. Topics include probability, probability distributions, and Statistics parametric and non-parametric statistics. Prerequisite: Mathematics 11. 26 Via the solution of interesting problems, this course isolates and draws Problem-Solving attention to the most important problem-solving techniques encountered in undergraduate mathematics. The aim is to show how a basic set of simple techniques can be applied in diverse ways to solve a variety of problems. Prerequisite: Mathematics 8. 31 A study of linear algebra with emphasis on its application to the solu- Linear Analysis tion of differential equations. Topics include linear systems, matrices, vector spaces, and linear transformations. Prerequisite: Mathematics 22. 32 A study of algebraic systems, including groups, rings, and fields. Introduction to Prerequisite: Permission of the instructor. Modern Algebra 33 An axiomatic approach to geometry including both Euclidean and Modern non-Euclidean geometries. Geometry

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