PURPOSE:
To
prepare
students
to teach
mathematics
at the
secondary
and
junior
college
levels.
Mathematics
teachers
and
prospective
mathematics
teachers
at the
secondary
level
are
a principal
audience
for
this
degree.
GENERAL
REQUIREMENTS:
All
pertinent
regulations
set
forth
in the
Graduate
Studies
Bulletin
and
the
Bulletin
of the
College
of Natural
Sciences
and
Mathematics
must
be observed.
The
student
must
consult
the
departmental
Director
of Graduate
Studies
prior
to beginning
his/her
graduate
program
so that
proper
records
may
be established
within
the
department.
It is
the
student's
responsibility
to be
informed
about
current
degree
requirements.
It is
the
joint
responsibility
of the
student
and
the
student's
advisor
to maintain
communications
and
to track
the
student's
progress
toward
meeting
those
requirements.
PROGRAM
DESCRIPTION:
To
be admitted
to the
program,
a student
must
have
completed
a bachelor's
degree
with
a 3.0
GPA
over
the
last
60 hours
of all
course
work
and
should
have
a good
background
in mathematics.
A student
need
not
have
majored
in mathematics
to be
admitted.
However,
it is
expected
that
the
student
has
completed
at least
9 hours
of mathematics
at the
junior
or senior
level,
preferably
in courses
such
as abstract
algebra,
linear
algebra,
advanced
calculus,
differential
equations,
or geometry.
The
program
requires
33 semester
hours
of course
work
with
at least
24 semester
hours
at the
5000
level
or above,
and
including:
A
minimum
of 21
semesters
hours
in mathematics
with
at least
15 semester
hours
at the
5000
level
or above.
A 3semester
hour
Master's
tutorial.
The
program
may
include
up to
9 semester
hours
of elective
course
work
approved
by the
Director
of Graduate
Studies.
FORMAT:
This
will
be primarily
a distance
education
program;
the
courses
will
be offered
online
through
WEBCT
and
it will
be possible
to complete
the
program
in that
format.
It will
also
be possible
to take
oncampus
courses
as an
alternative
to the
webbased
courses.
ONLINE
COURSES:
MATH
5331:
LINEAR
ALGEBRA
WITH
APPLICATIONS,
Two
semesters
of calculus
or consent
of instructor.
Systems
of linear
equations,
matrices,
vector
spaces,
linear
independence
and
linear
dependence,
determinants,
eigenvalues;
applications
of the
linear
algebra
concepts
will
be illustrated
by a
variety
of projects.
MATH
5332:
DIFFERENTIAL
EQUATIONS.
Prerequisite:
MATH
5331
or consent
of instructor.
Linear
and
nonlinear
systems
of ordinary
differential
equations;
existence,
uniqueness
and
stability
of solutions;
initial
value
problems;
higher
dimensional
systems;
Laplace
transforms.
Theory
and
applications
illustrated
by computer
assignments
and
by projects.
MATH
5333:
ANALYSIS.
Prerequisite:
two
semesters
of calculus
or consent
of instructor.
A survey
of the
concepts
of limit,
continuity,
differentiation
and
integration
for
functions
of one
variable
and
functions
of several
variables;
selected
applications
are
used
to motivate
and
to illustrate
the
concepts.
MATH
5382:
PROBABILITY
Prerequisites:
Two
semesters
of calculus
and
one
semester
of linear
algebra,
or consent
of instructor.
Sample
spaces,
events
and
axioms
of probability;
basic
discrete
and
continuous
distributions
and
their
relationships;
Markov
chains,
Poisson
processes
and
renewal
processes;
applications.
MATH
5383:
NUMBER
THEORY
Prerequisite:
two
semesters
of calculus
or consent
of instructor.
Divisibility
and
factorization,
linear
Diophantine
equations,
congruences
and
applications,
solving
linear
congruences,
primes
of special
forms,
the
Chinese
remainder
theorem,
multiplicative
orders,
the
Euler
function,
primitive
roots,
quadratic
congruences,
representation
problems
and
continued
fractions.
MATH
5385:
STATISTICS.
Prerequisites:
Two
semesters
of calculus,
or consent
of instructor.
Data
collection
and
types
of data,
descriptive
statistics,
probability,
estimation,
model
assessment,
regression,
analysis
of categorical
data,
analysis
of variance.
Computing
assignments
using
a prescribed
software
package
(e.g.,
EXCEL,
Minitab)
will
be given.
MATH
5386:
REGRESSION
AND
LINEAR
MODELS.
Prerequisites:
Two
semesters
of calculus,
one
semester
of linear
algebra,
and
MATH
5385,
or consent
of instructor.
Simple
and
multiple
linear
regression,
linear
models,
inferences
from
the
normal
error
model,
regression
diagnostics
and
robust
regression,
computing
assignments
with
Matlab,
R, Minitab,
or SAS.
Courses
under
development:
MATH
53XX:
GEOMETRY/TOPOLOGY
MATH
53XX:
MODERN
ALGEBRA
MATH
53XX:
MATHEMATICAL
MODELING
MATH
53XX:
TECHNOLOGY
IN MATHEMATICS
CLASSES
COMPLETION
OF THE
PROGRAM:
The
Department
of Mathematics
will
offer
at least
two
of these
courses
each
semester
during
the
academic
year,
and
at least
one
course
during
the
summer
sessions.
It will
be possible
to complete
the
program
in two
years
by taking
two
courses
each
semester
for
two
academic
years,
and
one
course
in the
corresponding
summer
sessions.
For
more
detailed
information
on MAM
program,
please
contact
Dr.
Garret
Etgen:
etgen@math.uh.edu
