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MATH 5010 History of Mathematics (3)
Development of elementary mathematics and a study of the individuals
who contributed to it.
MATH 5020 Geometry for Elementary School Teachers (3)
Informal geometry, regular polygons, tessellations, transformations,
measurement, deductive reasoning, constructions, topology and solid
geometry.
MATH 5030 Problem Solving for Elementary School Teachers (3)
An in-depth investigation of problem solving strategies and procedures,
particular interests will be placed on problem solving in an algebra
context.
MATH 5100 Mathematical Concepts Development (3)
Current research related to teaching mathematics, mathematics
content and issues of pedagogy.
MATH 5110 Number Theory (3)
Divisibility, properties of primes, analysis of congruence,
quadratic residue and Diophantine analysis.
MATH 5160 Complex Analysis (3)
The algebra of complex numbers, properties of analytical functions,
elementary functions and mapping, complex integration, power series,
residues and poles and conformal mapping.
MATH 5200 Mathematics Content and Pedagogy for Middle School (3)
Using appropriate technology, students will investigate and apply
concepts of algebra, geometry, trigonometry, probability, and calculus.
The course will also address pedagogy in the middle school mathematics
classroom. Field experience required.
MATH 5210 Topology (3)
Sets, metric spaces, limits, continuous maps and homeomorphisms,
connectedness and compact topological spaces.
MATH 5240 Probability (3)
Emphasis on those topics having statistical applications. Sample
spaces, continuous and discrete random variables and their probability
distributions.
MATH 5250 Mathematical Statistics (3)
Multivariate probability distributions, estimation of parameters,
hypothesis testing, linear models, analysis of variance and analysis of
enumerative data and nonparametric statistics.
MATH 530A, B Special Problems (3)
MATH 5350 Calculus for Teachers (3)
Basic concepts of calculus, limits of sequences, limits of
functions, continuity and differentiation and integration.
MATH 5450 Mathematical Models (3)
Formation of mathematical models for problems in the biological,
physical, social and management sciences. Applications of techniques
from algebra, calculus, probability and other areas of mathematics to
the study of these problems.
MATH 5460 Applied Mathematics (3)
Analysis and solution of mathematical problems arising from
scientific and industrial settings including mathematical models
requiring differential equations. Writing and presentation of
mathematical models and solutions.
MATH 5500 Modern Algebra (3)
Relations, maps, abstract algebras, groups, rings, integral domains,
order, morphisms, fields and factorization.
MATH 5520 Algebra for Teachers (3)
Boolean algebras, lattices, groups and symmetries, morphisms,
quotient groups, applications and examples.
MATH 5640 Geometry for Teachers (3)
General methods for solutions of construction problems, geometric
loci, indirect elements, similitude and homothety, properties of
triangles, tritangent circles, altitudes of triangles, Euler line and
nine point circle.
MATH 5670 Numerical Analysis (3)
Digital computer programming, finite differences, numerical
integration, matrix computations, numerical solutions of non-linear
systems and differential equations.
MATH 5710 Advanced Calculus (3)
Logic and proof, functions, cardinality, real numbers, sequences,
limits, continuity, differentiation, integration, infinite series,
sequences and series of function.
MATH 577A,B Selected Topics in Mathematics (3)
MATH 5910 Topics in Mathematics (1)
MATH 5920 Topics in Mathematics (1)
MATH 5950 Research Paper (3)
MATH 5990 Thesis (6) |