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University Bulletin
Undergraduate Degree Programs

These course descriptions are not being updated as of August 1, 2016. Current course descriptions are maintained in LionPATH.

Mathematics (MATH)

MATH 417 Qualitative Theory of Differential Equations (3) Linear differential equations, stability of stationary solutions, ordinary bifurcation, exchange of stability, Hopf bifurcation, stability of periodic solutions, applications.

MATH 417 Qualitative Theory of Differential Equations (3)

(BA) This course meets the Bachelor of Arts degree requirements.

The main objective of the course is the qualitative theory of ordinary differential equations such as existence and uniqueness of solutions, dependence on initial data and parameters, and basic stability of solutions for both linear and nonlinear equations. It is designed to introduce students to modern concepts including the bifurcation theory, intermittent (transitional) and chaotic behavior of solutions and dynamical system approach to differential equations. Along the way, a number of applications are discussed and students get familiar with some basic examples illustrating main principles of the theory, such as Lorenz attractor, predator-prey models, etc.

The course is completed by students majoring in engineering programs, the sciences, and mathematics.


General Education: None
Diversity: None
Bachelor of Arts: Quantification
Effective: Spring 2009
Prerequisite: MATH 220;MATH 250 orMATH 251

Note : Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.

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Course descriptions are stored in LionPATH, the University-wide student information system. Please visit the LionPATH Course Catalog to access current course descriptions. At that point, you will be leaving the University Bulletin website.



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