Table of Contents - Hartwick College

220, 233, and 235. Offered when there is sufficient student interest.
(MLC)
337 Number Theory (3 credits) Divisibility, primes, congruences,
arithmetic functions, quadratic residues, partitions and generating
functions. Prerequisites: Math 220, 233, and 235. Offered alternate years.
(MLC)
341 Complex Variables (3 credits) An introduction to the theory of
functions of complex variables, derivatives and integrals, Cauchy’s
theorem, theory of residues, applications to mathematical physics.
Prerequisites: Math 233 and 235. Offered when there is sufficient student
interest. (MLC)
350 Topics in Mathematics (3 credits) Selected topics involving
further study in advanced areas of mathematics. Offered when there is
sufficient student interest. (MLC)
371 Numerical Analysis (same as Cisc 371) (3 credits) The
development of numerical methods and their associated error analysis.
Non-linear equations, systems of linear equations, interpolation,
numerical differentiation and integration. Programming of appropriate
algorithms with emphasis on accuracy and efficiency. Prerequisites: Math
220, 233, and 235. Offered when there is sufficient student interest.
(MLC)
375 Optimization Techniques (same as Cisc 375) (3 credits) A survey
of some of the methods used to obtain optimal solutions to linear
problems. Emphasis on linear programming, simplex algorithm, duality
transportation and assignment problems, shortest route and maximum
flow problems, game theory, decision trees. Additional topics may include
integer programming, dynamic programming, PERT-CPM, graph theory,
queuing theory. Prerequisites: Math 220, 233, and 235. Offered alternate
years. (MLC)
381 Mathematical Modeling (3 credits) Selected topics in modern
mathematics and operations research that have application to the social,
life and managerial sciences. Emphasis on problem solving through
model building. Possible topics include Markov chains, linear
programming, optimization, graph theory, combinatorics, game theory,
decision theory, queuing theory, simulation. Prerequisites: Math 220,
233, 235. Offered alternate years. (MLC)
390 Junior Seminar (4 credits) Supervised seminar study with oral
and written presentations. Seminar groups are assigned topics from areas
such as geometry, algebra, analysis or applied mathematics. Prerequisites:
at least a C in Math 320 and permission of the department. (Must be
taken during January Term on campus.) (MLC)
411 Partial Differential Equations (3 credits) Solution of second
order linear equations including the heat, potential and wave equations;
initial and boundary value problems; Fourier series; numerical methods.
Prerequisite: Math 311. Offered when there is sufficient student interest.
(MLC)
420 Abstract Algebra (3 credits) Mathematical induction, divisibility,
Euclidean algorithm, congruences, groups, rings, integral domains, fields.
Prerequisites: at least a C in Math 320. (MLC)
431 Introduction to Real Analysis (3 credits) Set theory, the real
number system, basic topology, metric spaces, limits, continuity,
161