MATH 044. Differential Equations

An introduction to differential equations that has a more theoretical and rigorous flavor than MATH 043 and is intended for students who enjoy delving into the mathematics behind the techniques. It introduces the key ideas of ordinary differential equations in a more conceptual, dynamical as well as computational framework. Topics include well-posedness of the problem such as existence and non-existence, uniqueness and continuous dependence of solutions on data; qualitative behavior of solutions such as asymptotic behavior and stability as well as boundary value problems and bifurcation. Numerical and computational methods will be used throughout as appropriate. Linear and nonlinear system will be considered. Additional topics depends on the interests of the instructor and students. The department recommends that majors take MATH 044.
Prerequisite: A grade of C or better in MATH 027 or MATH 028 and also in one of MATH 033, MATH 034, or MATH 035; or permission of the instructor.
Natural sciences and engineering.
1 credit.
Eligible for COGS
Spring 2020. Goldwyn.
Spring 2021. Staff.
Spring 2022. Staff.
Catalog chapter: Mathematics and Statistics
Department website: http://www.swarthmore.edu/mathematics-statistics

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