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MATH 427  Introduction to Deterministic Dynamical Systems  Units: 3.00  
Topics include: global properties of flows and diffeomorphisms, Invariant sets and dynamics, Bifurcations of fixed and periodic points; stability and chaos. Examples will be selected by the instructor. Given jointly with MATH 827.
Learning Hours: 120 (36 Lecture, 84 Private Study)  
Requirements: Prerequisite (MATH 231 and MATH 328) or permission of the Department.  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Explore a variety of different types of dynamical systems: flows and semiflows, differential and difference equations, vector fields, linear versions of the above.
  2. Investigate various classes of low-dimensional dynamical systems, and consider in detail what behaviours can be exhibited by these.
  3. Study recurrent behaviour, indecomposability, invariance and stability.
  4. Understand what a dynamical system is.