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Master in Applied Mathematics with
concentration in Dynamical Systems
MS code: 776316





Catalog description:


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 on admission requirements, deadlines, and further instructions.


Financial support


Graduate Teaching Assistantships (GTAs) are available. For further information go to our Graduate admissions webpage .
Exceptional candidates may be granted a tuition waver to cover the difference between out-of-state fees and in-state fees.


Graduation Requirements

Specific Requirements for the Master of Science Degree in
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:

  1. 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.

  2. 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 adviser.

  3. 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.

 


Maintained by Ricardo Carretero
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