2009–2010 - Grove City College

148 / Grove City College
MATH 307. INVESTIGATIONS IN MATHEMATICS RESEARCH. An introduction to mathematics
research. Teams of two to four students will investigate mathematical phenomena experimentally,
detect patterns, create conjectures, and attempt to prove the conjectures and verify the patterns.
Prerequisite: Mathematics 210 or 213. Spring semester only, one hour.
MATH 325. NUMERICAL ANALYSIS I. An introductory course in numerical analysis that covers
error analysis, computer arithmetic, algorithms, and convergence. Also covered are topics in numerical
linear algebra such as direct and iterative methods for solutions of linear systems and numerical calculation
of eigenvalues and eigenvectors. Prerequisites: Computer Science 141; Math 222.
Alternate Fall semesters, three hours.
MATH 326. NUMERICAL ANALYSIS II. A second course in numerical analysis that covers the
solution of non-linear equations; interpolation and approximation; numerical differentiation and integration;
and solutions of systems of non-linear equations. Prerequisite: Math 162.
Alternate Fall semesters, three hours.
MATH 331. THEORY OF STATISTICS I. An introduction to probability and mathematical statistics,
including counting techniques; probability spaces; independence; conditional probability; distributions
of discrete and continuous random variables; expected valued, moments and moment-generating
functions; random vectors and their distributions. A computer algebra system is used. Corequisite:
Math 261 or permission of instructor. Fall semester only, three hours.
MATH 332. THEORY OF STATISTICS II. The continued study of mathematical statistics including
transformations of random variables and vectors; sampling distributions; the Central Limit
Theorem; properties of point estimates of parameters; maximum-likelihood estimates; confidence
intervals; hypothesis testing; contingency tables; simple and linear regression; and one-way analysis of
variance. Statistical software and a computer algebra system are used. Prerequisite: Math 331.
Alternate Spring semesters, three hours.
MATH 360. INDEPENDENT STUDY. An opportunity for junior and senior students, with a minimum
of eighteen hours in mathematics, to do intensive independent study of specialized topics.
Prerequisite: Junior standing. Semester course, one, two or three hours.
MATH 365. COMPLEX VARIABLES. An introduction to the theory of functions of a complex
variable including complex numbers; analytic functions; derivatives and integrals of functions of a
complex variable; Taylor and Laurent series; and mappings by functions of a complex variable.
Prerequisite: Math 261. Alternate Fall semesters, three hours.
MATH 370. INDEPENDENT RESEARCH. An opportunity to conduct supervised research in
Mathematics. Junior standing and permission of the department chair and a faculty sponsor are
required. Semester course, one, two or three hours.
MATH 388. TOPICS IN MATHEMATICS. A series of lectures/discussions on topics from such
areas as: partial differential equations, numerical analysis, algebra, geometry, statistics, computer
applications, analysis, or topology. Prerequisite: Permission of the instructor.
Semester course, one, two or three hours.
MATH 421. ABSTRACT ALGEBRA. A study of the structure of formal axiomatic systems and the
elementary theory of groups and rings. Prerequisite: Math 210 or 213 and 222.
Semester course, three hours.
MATH 422. NUMBER THEORY. This course is, in part, an application of some of the ideas encountered
in Math 421. Various results from the theory of finite groups, particularly results about the structure
of finite cyclic groups, will be established and used to prove classical results of elementary number
theory such as Euler’s Theorem and Wilson’s Theorem. The course will also cover modular arithmetic
and congruences, arithmetic functions, the structure of Z n * , special numbers, and additional topics as
time allows. Prerequisite: Math 421. Alternate Spring semesters, three hours.
MATH 460. INDEPENDENT STUDY. An opportunity for junior and senior students, with a minimum
of eighteen hours in mathematics, to do intensive independent study of specialized topics.
Prerequisite: Junior standing. Semester course, one, two or three hours.