2002-2003 - The University of Scranton

MATH 330 Staff
Actuarial Mathematics 3 credits
(Prerequisite: MATH 221) Theory of interest,
accumulation and discount, present
value, future value, annuities, perpetuities,
amortizations, sinking funds, and yield rates.
MATH 341 Staff
Differential Equations 4 credits
(Prerequisite: MATH 222) Treatment of
ordinary differential equations with applications.
Topics include: first-order equations,
first-order systems, linear and nonlinear
systems, numerical methods, and
Laplace transforms. Computer-aided solutions
will be used when appropriate.
MATH 345 Staff
Geometry 3 credits
Euclidean, non-Euclidean, and projective
geometry. Transformations and invariants.
MATH 346 Staff
Number Theory 3 credits
(Prerequisite: MATH 114) Topics include
divisibility, the Euclidean algorithm, linear
diophantine equations, prime factorization,
linear congruences, some special
congruences, Wilson’s theorem, theorems
of Fermat and Euler, Euler phi function
and other multiplicative functions, and the
Mobius Inversion Formula.
MATH 351 Staff
Linear Algebra 3 credits
(Prerequisite: MATH 221) Vector spaces,
matrices, determinants, linear transformations,
eigenvalues, eigenvectors, inner
products, and orthogonality.
MATH 360 Staff
Coding Theory 3 credits
(Prerequisite: MATH 351) A study of algebraic
coding theory. Topics include: linear
codes, encoding and decoding, hamming,
perfect, BCH cyclic and MDS codes, and
applications to information theory.
MATH 446 Staff
Real Analysis I 3 credits
(Prerequisite: MATH 222) Topics include:
the algebra and topology of the real numbers,
functions, sequences of numbers,
limits, continuity, absolute and uniform
continuity, and differentiation.
171
MATH 447 Staff
Real Analysis II 3 credits
(Prerequisite: MATH 446) Selections
from: integration theory, infinite series,
sequences and infinite series of functions,
and related topics.
MATH 448 Staff
Modern Algebra I 3 credits
(Prerequisite: MATH 351) Fundamental
properties of groups, rings, polynomials,
and homomorphisms.
MATH 449 Staff
Modern Algebra II 3 credits
(Prerequisite: MATH 448) Further study
of algebraic structures.
MATH 460 Staff
Topology 3 credits
(Prerequisite: MATH 446) Topological
spaces: connectedness, compactness, separation
axioms, and metric spaces.
MATH 461 Staff
Complex Variables 3 credits
(Prerequisite: MATH 222) The theory of
complex variables: the calculus of functions
of complex variables, transformations,
conformal mappings, residues and
poles.
MATH 462 Staff
Vector Calculus 3 credits
(Prerequisites: MATH 222, MATH 351)
The calculus of scalar and vector fields
and of functions defined on paths or surfaces.
Implicit Function, Green’s, Strokes,
and Gauss’ Theorems. Applications.
INTD 224 Dr. Dutko
(Q, W)Science, 3 credits
Decision-Making and Uncertainty
See description under interdisciplinary
courses, p. 221.