Master
of Science
in Mathmatics
(MSM)
General
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.
The
departmental
Director
of Graduate
Studies
will
serve
as interim
advisor
for
the
purposes
of initiating
a course
of study
until
an advisor
is selected.
Prerequisites
The
prerequisite
for
admission
to the
Master's
Degree
program
is the
equivalent
of an
undergraduate
major
in mathematics
as defined
at this
University.
Students
not
meeting
this
requirement
may,
at the
discretion
of the
Chairman
of the
Department,
be admitted
to the
program
conditionally
until
the
deficiency
is removed.
Courses
taken
to remove
deficiencies
may
not
be counted
as part
of the
Master's
Degree
program.
For
students
uncertain
of their
preparation,
the
following
courses
(some
of which
may
count
for
elective
credit)
are
strongly
recommended:
MATH
43314332
(for
any
Analysis
courses);
MATH
4333
(for
Algebra);
MATH
4337
(for
Topology);
MATH
43774378
(for
all
advanced
subjects).
MSM
Core
Courses
At
least
15 hours
from
the
following
Master's
Degree
Core
Courses
are
to be
completed,
with
a oneyear
sequence
in two
of the
following
three
areas.
 Area
I
Functions
of
a
Real
Variable
(MATH
6320;6321)
Complex
Analysis
(MATH
6322;6323)
Functional
Analysis
(MATH
7320;7321)
 Area
II
Modern
Algebra
(MATH
6302;6303)
Algebraic
Topology
(MATH
6340;6341)
Point
Set
Topology
(MATH
6342;6343)
 Area
III
Differential
Equations
(MATH
6324;6325)
Partial
Differential
Equations
(MATH
6326;6327)
Numerical
Analysis
(MATH
6370;6371)
Probability
Models
and
Mathematical
Statistics
(MATH
6382;6383)
Options
There
are
two
options
available
for
obtaining
an M.S.
in Mathematics:

Plan
I

Thesis
A
minimum
of
30
semester
hours
is
required.
These
hours
include
6
semester
hours
of
Master's
Thesis
credit
and
a
minimum
of
24
semester
hours
in
course
work.
These
24
semester
hours
must
consist
of
18
semester
hours
of
courses
in
mathematics
at
the
6000
level
or
above
and
6
semester
hours
of
courses
in
mathematics
at
the
4000
level
or
above.
No
more
than
3
of
the
24
hours
may
be
in
special
problems.The
Master's
Thesis
is
to
be
accomplished
by
agreement
between
them
student
and
the
student's
advisor.
After
all
course
work
and
the
thesis
are
completed
and
all
other
degree
requirements
are
satisfied,
an
oral
and/or
written
examination
over
the
candidate's
background
will
be
conducted
by
the
thesis
committee.
Questions
for
this
examination
may
be
drawn
from
the
student's
courses
and
thesis.
Once
the
thesis
has
been
accepted
by
the
committee,
a
final
corrected
version
must
be
submitted
to
the
College
by
the
student.
 Plan
II

Tutorial
A
minimum
of
36
semester
hours
is
required.
These
hours
must
include
6
semester
hours
in
Master's
Tutorial
credit
and
a
minimum
of
30
semester
hours
in
other
course
work.
Of
these
30
hours
at
least
21
must
be
in
regularly
scheduled
mathematics
courses
at
the
6000
level
or
above.
Not
more
than
6
of
the
30
may
be
in
special
problems.
With
departmental
approval,
up
to
9
hours
of
the
30
may
be
at
the
4000
level
in
mathematics.
With
departmental
approval,
6
semester
hours
may
be
taken
in
a
minor
in
a
related
field
(in
courses
at
the
4000
level
or
above).The
Master's
Tutorial
is
to
be
accomplished
by
agreement
between
the
student
and
the
student's
advisor.
If
the
tutorial
consists
of
a
project,
it
should
be
as
demanding
as
a
thesis,
however,
a
formal
defense
and
submission
to
the
College
are
not
required.
The
tutorial
requirement
may
be
satisfied
by
participating
in
regularly
scheduled
classes,
if
this
is
the
decision
of
the
student
and
advisor.
The
advisor
is
required
to
place
on
file
in
the
department
office
a
statement
which
summarizes
the
contribution
of
the
student
in
the
Master's
Tutorial.
Master
of Science
in Applied
Mathmatics
(MSAM)
Introduction
The
Department
of Mathematics
of the
University
of Houston
offers
a Master
of Science
in Applied
Mathematics.
The
intent
of this
program
is to
provide
students
with
training
in mathematics
appropriate
for
many
professional
mathematical
positions
in industry.
Recent
graduates
are
employed
in the
aerospace,
engineering,
energy,
actuarial
and
financial
industries,
as well
as in
biostatistics,
and
as teachers
in high
schools
and
community
colleges.
The
UH faculty
in applied
mathematics
and
computational
sciences
is internationally
recognized
for
research
achievement
and
teaching.
We have
excellent
computing
resources
and
the
university
library
has
an outstanding
mathematics
collection.
Students
take
two
oneyear
sequences
of core
courses
chosen
from
the
areas
of mathematical
analysis,
numerical
analysis,
applied
and
computational
mathematics,
and
probability
and
statistics.
They
also
take
electives
and
complete
a tutorial
project.
The
tutorial
typically
involves
studying
and
writing
a report
on a
specific
topic
involving
the
application
of mathematics,
with
the
guidance
of a
faculty
member.
The
mathematics
department
has
a network
of terminals
and
workstations
available
for
use
by graduate
students.
Students
who
do not
already
have
experience
with
scientific
computing
and/or
programming
languages
will
be able
to learn
the
necessary
topics
through
courses
or tutorials.
For
the
convenience
of students,
core
courses
for
the
program
are
generally
taught
between
4pm
and
7pm
on Mondays
through
Thursdays.
More
specific
details
on courses
are
given
below.
Admission
to the
Program
To be
admitted
to the
program,
a student
must
have
completed
a baccalaureate
degree
with
a 3.0
GPA
over
the
last
60 hours
of course
work
and
have
a good
background
in mathematics.
A student
need
not
have
majored
in mathematics
to be
admitted.
It is
expected,
however,
that
the
student
has
completed
at least
9 hours
of mathematics
at the
junior
or senior
level,
preferably
in courses
such
as advanced
linear
algebra,
analysis,
differential
equations,
and
probability
and
statistics.
When
these
requirements
are
not
met,
students
may
be admitted
on a
conditional
basis
and
have
the
opportunity
to acquire
the
necessary
background.
Program
Requirements
and
Electives
All
pertinent
regulations
set
forth
in the
Graduate
Studies
Bulletin
and
the
Bulletin
of the
College
of Natural
Sciences
and
Mathematics
must
be observed.
Currently
the
requirements
for
the
M.S.
degree
in Applied
Mathematics
are
that
a student
complete
30 credit
hours
of courses
at the
University
of Houston
with
an average
grade
of B
(that
is a
3.0
GPA)
and
no more
than
3 grades
below
C+.
A student
must:
 Successfully
complete
(C
or
higher)
two
out
the
following
four
basic
course
sequences:
MATH
6360;6361:
Applicable
Analysis,
MATH
6370;6371:
Numerical
Analysis,
MATH
6377;6378:
Basic
Tools
for
the
Applied
Mathematician;
Basic
Scientific
Computing(see
CMO
below),
MATH
6382;6383:
Probability
and
Statistics,
MATH
6366,
6367:
Optimization.
 Successfully
complete
another
6
credit
hours
of
courses
at
the
6000
or
7000
level
in
the
mathematics
department.
 Pass
another
6
hours
of
elective
course
work
approved
by
the
Director
of
Graduate
Studies.
The
elective
courses
need
not
be
taken
in
the
Mathematics
department
and
may
include
some
senior
(4000)
level
undergraduate
courses.
 Complete
a
tutorial
project
under
the
supervision
of
a
faculty
member.
Students
working
on
this
project
sign
up
for
MATH
6315
and
7315:
Master's
Tutorial.
Within
these
requirements,
students
are
encouraged
to pursue
their
own
interests.
In particular,
the
subject
matter
of the
tutorial
project
is often
related
to a
student's
professional
work.
It is
usually
less
formal
than
a thesis
but
it is
expected
that
the
topic
chosen
will
be treated
thoroughly
and
in depth.
To pass
Math
7315,
a student
writes
a project
report
which
must
be approved
by his/her
supervisor
and
a summary
of the
project
must
be provided
to the
Director
of Graduates
Studies.
The
Department
of Mathematics
is developing
a number
of options
within
the
MSAM.
So far
we have
two
options:
the
Computational
Mathematics
Option
(CMO),
and
the
Financial
Mathematics
Option
(FMO).
