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Mathematics began with roots in
the basic concepts of space and
number and has flowered into many
wonderful forms. The creation and
discovery of new mathematics have
never been more active or vital
than they are today. Mathematics
is sometimes called the science
of pattern and order. It relies
on logic as a standard of truth,
but uses observation and even
experimentation as means of
discovering truth. Mathematicians
think of their work as a blend of
science and art, sometimes
elegant and beautiful, describing
deep and useful creations. In
addition to theorems and
theories, mathematics offers
distinct modes of thought which
are both versatile and powerful
for understanding the world.
Courses serve those who wish to
make mathematics a part of a
liberal arts education, those who
desire a mathematics background
for other disciplines, such as
Computer Science, Economics or
the natural sciences, those who
wish to minor in Mathematics, and
those who wish to major in
Mathematics.
Mathematics majors choose careers
in education, industry, business,
banking and insurance serving as
teachers, statisticians,
industrial mathematicians,
computer programmers or analysts,
actuaries and research workers in
the biological, management or
social sciences. Their training
can also serve as a stepping
stone to professional training or
graduate work in a variety of
fields.
REQUIREMENTS
FOR THE MATHEMATICS
MAJOR
(8
credits in Mathematics numbered
200 or above, 1 credit in
Computer Science numbered 200 or
higher)
MATH
251
(W) Foundations of Advanced
Mathematics (1)
MATH
253
(QA) Linear Algebra (1)
One course in Computer
Science,
numbered 200 or higher (1)
MATH
499
Seminar in Mathematics (1)
Two additional credits in
Mathematics numbered 200 or above
(2) and
Three additional credits in
Mathematics numbered 300 or above
including at least two of the
following courses: (3)
MATH
446
Advanced Calculus (1)
MATH
456
Modern Algebra (1)
MATH
466
Probability and Statistics
(1)
MATH
476
Modern Geometry (1)
REQUIREMENTS
FOR THE MATHEMATICS MINOR
(6
credits)
Five credits in Mathematics
numbered 141 or above (5)
One course in Computer Science
numbered 200 or higher (1)
FACULTY
Stephen
K.
Prothero,
Professor
of
Mathematics,
Chair
Johnner
Barrett,
Instructor
of
Mathematics
Mark
R.
Janeba,
Associate
Professor
of
Mathematics
Inga
Johnson,
Assistant
Professor
of
Mathematics
Junpei
Sekino,
Professor
of
Mathematics
Colin
L.
Starr,
Assistant
Professor
of
Mathematics
COURSE
DESCRIPTIONS
Placement in the first
Mathematics course is by consent
of instructor.
MATH
130 (QA*) Contemporary
Mathematics (1)
A
survey of contemporary topics in
mathematics such as: voting
systems and power, apportionment,
fair division of divisible and
indivisible assets, efficient
distribution, scheduling and
routing, growth and decay in
nature and economics, symmetry
and fractal geometry, probability
and statistics. MATH 130 may not
be taken for credit after any
Mathematics course numbered above
140 has been completed.
Quantitative and Analytical
Reasoning starred. Every
semester. Staff
MATH
138 (QA*) Statistics (1)
This
course is an introduction to
descriptive and inferential
statistical analysis. The
following topics will be
examined: scales of measurement;
frequency distributions; graphing
data; measures of central
tendency, dispersion and
skewness; sampling distributions;
probability distributions; the
binomial, Poisson and normal
distributions; hypothesis
testing; confidence intervals and
interval estimation; t-tests;
analysis of variance;
correlational analysis;
regression analysis; and analysis
of nominal-level data.
Quantitative and Analytical
Reasoning starred. Every
semester. Staff
MATH
141 (QA*) Calculus I (1)
A
first
course
in
calculus--differential
and
integral
calculus
of
algebraic
and
exponential
functions,
with
applications.
Prerequisite:
Placement
exam
required
(high
school
math
beyond
Algebra
II
recommended).
Quantitative
and
Analytical
Reasoning,
starred.
(MATH
141
counts
for
only
.5
credit
if
the
student
has
completed
MATH
139.)
Every
semester.
Staff
MATH
142 (QA*) Calculus II (1)
A
second course in calculus: review of differential
and integral calculus via trigonometric and logarithmic
functions, techniques and applications of integration,
polar coordinates and parametric equations, infinite
series. Prerequisite: MATH
141 or placement exam (previous Calculus
experience required). Quantitative and Analytical
Reasoning, starred. Every semester. Staff
MATH
220 (QA) Mathematics for
Elementary Teachers (1)
The
objective of the course is to
present mathematics in a format
that prepares teachers to teach
elementary school mathematics.
Teachers need a firm foundation
in the theory of mathematics as
it pertains to the elementary
school curriculum. They also need
ideas and methods for teaching
that will generate interest and
enthusiasm among the students.
Topics to be covered will
include problem solving,
mathematics as a method of
communication, mathematics as a
method of reasoning, and
specifics of elementary school
mathematics such as whole number
operations, geometry and spatial
sense, measurement and
estimation, fractions and
decimals, and patterns and
relationships. Prerequisite:
previous or concurrent enrollment
in EDUC
305
or consent of instructor.
Quantitative and Analytical
Reasoning. On demand.
Prothero
MATH
249 (QA*) Multivariable Calculus
(1)
Three-dimensional
analytic geometry; partial
differentiation; maxima-minima
problems; multiple integrals;
vector fields, curl and
divergence; line and surface
integrals; applications.
Prerequisite: MATH
142.
Quantitative and Analytical
Reasoning starred. Every
semester. Staff.
MATH
251 (W) Foundations of Advanced
Mathematics (1)
This
course is intended as the first
course after calculus for those
students intending to major or
minor in mathematics. It provides
an introduction to logic and the
methods of proof commonly used in
mathematics. Applications covered
in the course are the foundations
of set theory, the real number
system, elementary number theory
and other basic areas of
mathematics. Prerequisite: One
year of college calculus credit.
Writing-centered. Every semester.
Staff
MATH
253 (QA) Linear Algebra (1)
Systems
of linear equations, matrices,
vector spaces and linear
transformations. Prerequisite:
MATH
251.
Quantitative and Analytical
Reasoning nonstarred. Every
semester. Staff
MATH
256 (QA) Differential Equations
(1)
Elementary
differential equations; linear
differential equations of second
order; Laplace transformations;
infinite series solutions;
systems of linear differential
equations. Prerequisite:
MATH
249.
Recommended: MATH
253.
Quantitative
and Analytical Reasoning. Fall.
Staff
MATH
263 (QA) Discrete Mathematics
(1)
Introduction
to basic techniques and modes of
reasoning in combinatorial
problem-solving. Topics will be
chosen from combinatorial
mathematics, logic and Boolean
algebra, difference equations,
graph theory and applied algebra.
Prerequisite: MATH
251.
Quantitative and Analytical
Reasoning. Spring. Staff
MATH
325 (QA) Mathematics for Teachers
(1)
The
objective of this course is to
present mathematics in a format
that prepares teachers to teach
mathematics in the public
schools. Teachers need a firm
foundation in the theory of
mathematics as it pertains to
their particular curricula. They
also need ideas and methods for
teaching that will generate
interest and enthusiasm among the
students. The course will
emphasize mathematics as a method
of communication and reasoning.
Topics selected to be relevant to
elementary, middle, and/or high
school curricula will depend on
the interests of the students,
but will have a strong
problem-solving emphasis. The
course will require an extensive
early field experience in the
public school classroom.
Prerequisite: Previous or
concurrent enrollment in
EDUC
305
or consent of instructor.
Quantitative and Analytical
Reasoning. On Demand.
Prothero
MATH
345 (QA) Complex Variables
(1)
Complex
numbers, limits, differentiation,
analytic functions, integration,
conformal mapping, Riemann
surfaces and applications.
Prerequisite: MATH
249.
Quantitative and Analytical
Reasoning. Alternate years, fall.
Staff.
MATH
349 (QA) Numerical Analysis
(1)
Application
of numerical methods to the
solution of mathematical
problems. Numerical
differentiation, integration and
the solution of differential
equations. Prerequisites:
MATH
251
plus MATH
253
or MATH
256
and experience in computer
programming. Quantitative and
Analytical Reasoning. On demand.
Staff
MATH
356 (QA) Number Theory (1)
An
introduction to the theory of
numbers to include such topics as
divisibility, congruence,
diophantine equations, quadratic
reciprocity, the theory of prime
numbers and analytic number
theory. Prerequisite:
MATH
251.
Quantitative and Analytical
Reasoning. Alternate years,
spring. Staff
MATH
366 (QA) Applied Mathematics:
Optimization (1)
Formulation
of problems in mathematical
terms, solutions of the problems,
interpretation and evaluation of
the solutions. Topics will be
chosen from inventory problems,
growth and survival models,
linear programming, scheduling,
Markov chains, game theory and
queuing problems. Prerequisite:
MATH
253
or consent of instructor.
Quantitative and Analytical
Reasoning. On demand. Staff
MATH
446 Advanced Calculus (1)
A
study of the concepts of calculus
from an advanced standpoint.
Includes the real numbers, real
valued functions, differentiation
and integration, vector valued
functions, line and surface
integrals. Other topics may be
chosen from point set topology,
measure and integration,
differential geometry and
calculus of variations.
Prerequisite: MATH
253
or consent of instructor. Spring
2000 and then twice every five
semesters. Staff
MATH
456 Modern Algebra (1)
Number
systems, elementary number
theory, groups, rings, fields,
polynomials and applications.
Additional topics may be chosen
from linear algebra, multilinear
algebra, Sylow theory and Galois
theory. Prerequisite:
MATH
253
or consent of instructor. Fall
2000 and then twice every five
semesters. Staff
MATH
466 Probability and Statistics
(1)
Mathematical
foundations of probability and
statistical theory; application
of derived formulae to the
interpretation of data.
Prerequisite: MATH
253
or consent of instructor. Fall
2000 and then twice every five
semesters. Staff
MATH
476 Modern Geometry (1)
A
modern approach to geometry.
Topics will be chosen from
Euclidean, non-Euclidean, affine,
projective and differential
geometry. Prerequisite:
MATH
253
or consent of instructor. Fall
2000 and then twice every five
semesters. Staff
MATH
486 Topics in Mathematics (1)
This
course offers timely exposure to
topics in mathematics which are
not part of the regular
curriculum. Examples of topics
which might be offered:
Cryptology, Differential
Geometry, Vector Analysis,
Topology. On demand. Staff
MATH
490 Independent Research (.5)
Directed
research to investigate topics of
special interest under the
guidance of a faculty member.
Topics chosen on the basis of the
background and interests of the
individual student. Permission of
the instructor is required. On
demand. Staff
MATH
491 Advanced Independent Study
(.5)
A
course of directed research
designed to enable the
exceptional student to continue
the investigation of topics of
special interest under the
guidance of a faculty member.
Permission of the instructor is
required. On demand. Staff
MATH
499 Seminar in Mathematics
(1)
Study
selected in consultation with the
mathematics faculty and presented
to the class. The seminar serves
as the Senior Year Experience and
involves oral and written
presentation of research and
reading topics. Required for
Mathematics majors. Prerequisite:
Senior standing and consent of
instructor. Spring. Staff
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