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trigonometric functions. Applications are emphasized.
The Analytic Reasoning core course is
waived for students who successfully complete
this course. Prerequisite: MA102 or equivalent.
(U)(5). Fall and spring.
MA107, Calculus and Analytic Geometry II:
Continuation of MA106. Topics include methods
of integration, improper integrals, infinite
series, conic sections and polar coordinates.
Prerequisite: MA106. (U)(4). Fall and spring.
MA125, Business Calculus: This course introduces
students to the concepts and methods of
calculus and the mathematics of finance. Topics
include interest, future and present annuity
values, differentiation, integration, exponential
and logarithmic functions, elementary differential
equations, functions of several variables,
partial derivatives and extrema of functions
of several variables. Prerequisite: MA101 or
equivalent. (U)(3). Fall and spring.
MA162, Statistical Methods: An introduction
to applied statistics for students in the natural,
social and managerial sciences. Topics include
sampling, data analysis, experimental design
and the use of computer-based statistical software.
Three hours lecture, one hour recitation
weekly. The Analytic Reasoning core course is
waived for students who successfully complete
this course. Prerequisite: MA101 or equivalent.
(U)(4). Fall and spring.
MA200, Basics of Advanced Mathematics:
Introduces students to the concepts and methods
of higher mathematics with an emphasis on
techniques of mathematical proof. Topics include
foundations of logic, set theory, relations,
partial orders, well-ordering, isomorphisms,
induction, equivalence relations, and functions.
Prerequisite or corequisite: MA106 or equivalent.
(U)(3). Spring only.
MA205, Discrete Mathematics: Proofs by
induction, simple diagonalization proofs,
combinatorial theory, relations and functions,
inclusion/exclusion principle, derangements,
recurrence relations and generating functions.
Prerequisite: MA106. (U)(3). Fall only.
MA208, Calculus and Analytic Geometry
III: Continuation of MA107. Topics include
vector calculus, multivariable calculus, partial
differentiation, multiple integration, line
173 Butler University
integrals and Green’s Theorem. Prerequisite:
MA107. (U)(3). Fall and spring.
MA215, Linear Algebra: Systems of linear
equations, matrices, determinants, vector
spaces, linear transformations and the
eigenvalue problem. Prerequisite: MA107.
(U)(3). Fall and spring.
MA301, History of Mathematics: Historical
development of number systems, including
contributions from Egypt, Greece, China,
India and medieval to early modern Europe.
Topics may include arithmetic, algebra, theory
of equations, geometry, trigonometry, number
theory, combinatorics, probability and the
beginnings of calculus. Prerequisites: MA107
and MA205. (U/G)(3). Fall only.
MA305, Graph Theory: Graphs and sub-graphs,
planar graphs, graph coloring and chromatic
polynomials, trees, weighted trees and prefix
codes, transport networks, and matching
theory. Prerequisite: MA205. (U/G)(3).
Spring only.
MA308, Problem Seminar: A course emphasizing
the process of solving mathematical
problems. Problems will be drawn from various
sources. Students and faculty will meet weekly
to exchange ideas and present solutions. Students
may earn up to three credits by repeated
registrations. Prerequisite: MA107. (U/G)(1).
Fall and spring.
MA311, Number Theory: Divisibility, the
Euclidean algorithm, prime numbers, unique
factorization, linear congruences, the Chinese
Remainder Theorem, and applications to
public-key cryptography. Additional topics may
include primitive roots, quadratic residues,
factorization algorithms, Diophantine equations,
continued fractions and the distribution of
primes. Prerequisite: MA205. (U/G)(3).
Fall even-numbered years.
MA312, Modern Algebra I: Relations and
graphs, groups, subgroups, normal subgroups,
homomorphism theorems, rings and fields.
Prerequisite: MA200, 205, 215. (U/G)(3).
Spring only.
MA313, Modern Algebra II: This course
is a continuation of MA312. Topics include
Euclidean rings, principal ideal domains,
unique factorization domains, field extensions
The College of Liberal Arts and Sciences