Master in Applied Mathematics
concentration in Dynamical Systems
MS code: 776316
This concentration focuses on interdisciplinary
applications of dynamical systems and nonlinear modeling in biology, chemistry,
engineering, and physics. Students with interests in modeling and analyzing real
life problems through mathematics will benefit from this concentration. To enter
the program, students must possess a bachelor's
degree with a strong mathematical background. The requirements for this concentration
are the same as the Specific Requirements for the Master of Science degree in Applied
Mathematics with the exception that only one semester of mathematical analysis/advanced
calculus (Math 330 or equivalent) is required. Students pursuing this concentration will
complete the following 15 units of core courses: Mathematics 531, 537, 538, 636, and 638;
12 units of electives and three units of Mathematics 799A (Thesis/Project). Possible
electives include Mathematics 635 and 639 to be offered depending on demand and
resources. Other recommended electives include Mathematics 542, 623, 668, 693A,
693B, 797; Computer Science 553; Physics 580. Depending on the student's interests
and background, electives from other departments may be approved by the adviser.
Admission Requirements (MS code 776316)
To be admitted to the program, the student should
have training equivalent to that required for an undergraduate
degree in mathematics, applied mathematics, physics
or electrical engineering. In addition, all students
must satisfy the general requirements for admission
to the university with classified graduate standing.
Please refer to the
Graduate Bulletin [Mathematics] for more details.
The Department maintains a web page with further information
requirements, deadlines, and further instructions.
Graduate Teaching Assistantships (GTAs) are available.
For further information go to our
admissions webpage .
Exceptional candidates may be granted a tuition waver
to cover the difference between out-of-state fees and
Specific Requirements for the Master of Science
Applied Mathematics with concentration
in Dynamical Systems (MS code: 776316).
In addition to meeting the requirements for classified
graduate standing and the basic requirements for the
master's degree described in Part Two of this bulletin,
the student must meet the following requirements:
Have completed before entering the program, the following courses or their equivalents: One semester upper division linear algebra (M524 or equivalent), one semester analysis/advanced calculus (Math 330 or equivalent), one semester upper division differential equations (Math 537 or 531 or equivalent), one semester of numerical analysis (Math 340 or 541 or equivalent), and one semester of upper division statistics (Stats 350A or 551A or equivalent). At most one of these 500-level courses can be counted towards the degree course requirements. Programming proficiency in a computer language is also a prerequisite. Admission to the program as conditionally classified may be granted without some of the coursework above, contingent on the student removing any deficiencies by the end of the first year in the program.
Complete a minimum of 30 units of approved 500-,
600- and 700-numbered courses. All programs must
include at least 21 units in mathematical sciences
(with the possible exception of a student who shows
an interest in mathematical modeling) and at least
18 units selected from 600- and 700-numbered courses.
No more than six units in Mathematics 797 and 798
will be accepted for credit toward the degree. A
program of study must be approved by the graduate
With departmental approval, the student
may select Plan A, and complete Mathematics 799A,
Thesis. The student must have an oral defense of their
thesis or research, open to the public. If Plan B
is elected, the student must complete three units
of Mathematics 797, Research, and pass the written
Comprehensive Examination in Applied Mathematics.
The thesis is written under the direction of a faculty
member who works closely with the student in both the
research and the writing of the thesis. The student
can choose any faculty member in the program to be the
thesis adviser. The student and the adviser will determine
the topic of the thesis, generally on a topic of interest
to both. The average student takes 6 months or less
to complete a thesis.
Ricardo Carretero Gonzalez
Antonio Palacios Peter Blomgren Joe Mahaffy Diana Verzi Chris Curtis San Diego
San Diego State University SDSU California West coast MS master
masters PhD doctorate doctoral graduate undergraduate concentration
emphasis applied mathematics chaos chaotic fractal fractals dynamics
dynamical systems nonlinear nonlinear dynamical systems nonlinear
dynamics NLDS model modeling modelling publication publications
research preprints analysis adaptivity aggregation bifurcation
bifurcations bioloby blowup blow up blow-up bose bose-einstein
breather breathers CML CMLs condensates coupled map lattices delay
differential determinism deterministic differential einstein embedding
equation equations fluidization fluidized GPE heteroclinic homoclinic
ILM ILMs image restoration intrinsic localized modes lattices
manifold map maps math mathematical bioloby metastability moving
mesh NLS nonlinear waves numerics numerical ODE ODEs orbit orbits
pattern patterns PDE PDEs POD prediction proper orthogonal decomposition
reconstruction soliton solitons spatio temporal stable stochastic
studies study systems tangle temporal time series unstable