##
**
Control
Theory**

**
Desired
background:** Undergraduate
courses
in
ordinary
differential
equations,
partial
differential
equations,
complex
analysis,
and
some
experience
with
scientific
computation.

**
Opportunity
to
learn
about
the
field:** For
students
with
no
previous
background
in
control
theory,
a
bridging
graduate
course, **AMATH
655** Control
Theory,
is
taught
each
winter
term.

##
**
Differential
Equations
and
Dynamical
Systems**

**
Desired
background:** An
undergraduate
course
in
ordinary
differential
equations.
Background
in
partial
differential
equations
and/or
dynamical
systems
is
required
for
some
projects.

##
**
Environmental
and
Geophysical
Fluid
Dynamics**

**
Desired
background:** Undergraduate
courses
in
fluid
dynamics
and
partial
differential
equations,
and
some
experience
with
scientific
computation.

**
Opportunity
to
learn
about
the
field:** For
students
with
no
previous
background
in
fluid
dynamics,
a
bridging
graduate
course, **AMATH
663** Fluid
Dynamics,
is
taught
each
fall
term.

##
**
General
Relativity
and
Cosmology**

**
Desired
background:**
An
undergraduate
course
in
general
relativity.

**
Opportunity
to
learn
about
the
field:** For
students
with
no
previous
background
in
general
relativity,
a
bridging
graduate
course, **AMATH
675** General
Relativity,
is
taught
each
winter
term.

##
**
Mathematics
in
Biology
and
Medicine**

**
Desired
background:** An
undergraduate
course
in
ordinary
differential
equations
and
some
experience
with
scientific
computation
and
biology.
Background
in
partial
differential
equations
is
required
for
some
projects.

##
**
Quantum
Theory**

**
Desired
background:** An
undergraduate
course
in
quantum
theory.

**
Opportunity
to
learn
about
the
field:** For
students
with
only
a
limited
knowledge
of
quantum
theory,
a
bridging
graduate
course, **AMATH
673** Quantum
Mechanics,
is
taught
each
fall
term.

##
**
Scientific
Computation**

**
Desired
background:** An
undergraduate
course
in
scientific
computation.

**
Opportunity
to
learn
about
the
field:** An
introductory
graduate
course, **AMATH
741** Numerical
Methods
for
Partial
Differential
Equations,
is
taught
each
winter
term.

##
**
Signals
and
Images**

**
Desired
background:** No
specialized
knowledge
of
the
field
is
required.