2009-2011 - Benedict College

236 MATHEMATICS AND COMPUTER SCIENCE DEPARTMENT
Math 235 Abstract Algebra II
Course covers isomorphisms of groups, finite permutation groups, Cayley's theorem, normal subgroups,
quotient groups, finite Abelian groups, the field of quotients of an integer domain, ideals and
quotient rings, ring homomorphisms, the field of real numbers, polynomials over a ring, divisibility and
greatest common divisor. Prerequisite: Math 234.
Math 236 Probability and Statistics
credit 3 hrs.
Populations; samples; data; frequency distributions; graphic representations of frequency distributions;
measures of central tendency: mean, mode, median; variability: range, variance, standard deviation,
Z-scores; finite probability; conditional probability and Bayes's Theorem; descriptive treatment of binomial,
Poisson, normal and chi-square distributions; correlation and regression; confidence limits; using
curve fitting to predict from data; and testing hypothesis. Research project requirement. Prerequisite:
Math 143.
Math 237 Differential Equations I
credit 3 hrs.
Ordinary differential equations of first order, higher order linear equations, D-operator techniques, and
Laplace transform and series method and applications to the physical sciences and engineering.
Prerequisite: Math 144.
Math 238 Differential Equations II
credit 3 hrs.
Course covers theoretical aspects of the solutions of differential equations, proof of the existence and
uniqueness of such solutions, power series methods, linear systems of differential equations including
the eigenvalue method for homogeneous systems, introduction to nonlinear systems. Partial differential
equations and boundary value problems. Prerequisite: Math 237.
Math 331 Modern Geometry
credit 3 hrs.
Euclid geometry: the origin of geometry, axiomatic method; Euclid's first four postulates; Incidence
geometry: models, isomorphism of models, projective and affine plane; the discovery of non-Euclidean
geometry: Hilberts axioms, Neutral geometry, Hyperbolic geometry; geometric transformations: applications
of geometric problems, motions and similarities, automorphisms of the Cartesian Models in
the Poincare Model. Prerequisite: Math 136 and Math 144.
Math 333 Vector Calculus
credit 3 hrs.
Polar coordinates: integral, area, and length in the polar coordinate system; Vectors: vector-valued
functions; Vector differential calculus (partial differentiation); Vector integral calculus: line integrals,
Green's Theorem and Stoke's Theorem; Functions of several variables, Fubini's Theorem for multiple
integrals; Fourier Series and orthogonal functions. Prerequisite: Math 144.
Math 334 Complex Variables
credit 3 hrs.
The course covers the complex plane, functions of a complex variable, Cauchy-Riemann equations,
complex integration, theorems of Morera and Liouville, power series, singular points, residues,
Laurent expansion, contour integration, and elementary conformal mappings. Prerequisite: Math 144.
Math 335 Number Theory
credit 3 hrs.
The course covers the Chinese remainder theorem, Euler Q-function, the group of units of Z, roots of
unity in a field, integral elements of a ring, integrally closed ring, conjugate elements, conjugate fields,
integers in quadratic fields, and Dedekind rings. Prerequisite: Math 234.
Math 430 Teaching of Secondary School Mathematics
credit 3 hrs.
A study of the selection and organization of content and effective teaching procedures for secondary
school mathematics. A senior paper is required. Twenty (20) hours of practicum are required.
Prerequisite: Math 134 or Math 138.
Math 435 Statistical Methods
credit 3 hrs.
This course is designed to give the students the fundamental ideas of statistical analysis that is not
necessarily in a mathematically rigorous fashion. The logic of statistical procedure will be developed
without resorting to mathematical derivations or proofs. It is hoped that they will motivate students in
pursuing further studies in statistics. The course will cover random variables and their distributions;