Moon (1400x200 slice)

Master of Science in Applied Mathematics
Concentration in Dynamical Systems and Chaos

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. 

Preparation

Before entering the program, students must complete the following upper division courses, or equivalent.  Students with inadequate undergraduate preparation may be accepted conditionally but will be required to complete courses for removal of the deficiency in the first year of study.

All of the following
  • Math 330 - Advanced Calculus (3 units)
  • Math 337 - Elementary Differential Equations (3 units)
  • Math 340 - Mathematical Programming (3 units)
  • Math 524 - Linear Algebra (3 units)
One of the following
  • Stat 350A - Statistical Methods (3 units)
  • Stat 551A - Probability and Mathematical Statistics (3 units)
Advisers
 
Headshot: Ricardo Carretero
 
Ricardo Carretero
Professor
GMCS-577

 
Headshot: Antonio Palacios
 
Antonio Palacios
Professor
GMCS-503

 

Required Courses (30 units)

The 30 units may include at most 12 units of approved 500-level mathematics courses and at most six units of independent research (Mathematics 797, 798, 799A, 799B).   Elective courses from other departments may be approved by the adviser. 

All of the following
  • Math 531 - Partial Differential Equations (3 units)
  • Math 537 - Ordinary Differential Equations (3 units)
  • Math 538 - Discrete Dynamical Systems and Chaos (3 units)
  • Math 636 - Mathematical Modeling (3 units)
  • Math 638 - Continuous Dynamical Systems and Chaos (3 units)
12 units from the following electives
  • Math 542 - Introduction to Computational Ordinary Differential Equations (3 units)
  • Math 623 (3 units)
  • Math 668 -  Applied Fourier Analysis (3 units)
  • Math 693A -  Advanced Numerical Methods: Computational Optimization (3 units)
  • Math 693B - Advanced Numerical Methods: Computational Partial Differential Equations (3 units)
  • Math 797 - Research (3 units)
  • Phys 580 -  Computational Physics (3 units)

Other requirements

Program of study.
The program of study, to include a plan for removal of any conditions on admission, must be approved by the graduate adviser and will include at least 21 units in mathematics.  

Thesis.
Students must select Plan A and complete Math 799A (Thesis).  Students are advised that a thesis normally takes a year to complete.