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ES_APPM Engineering Science and Applied Math (X)
true *,score on 1 0 department:"ES_APPM Engineering Science and Applied Math" source:"Northwestern" AND 2.2 25
Total results: 4

Northwestern - ES_APPM 311-1: Methods of Applied Mathematics

Ordinary differential equations; Sturm-Liouville theory, properties of special functions, solution methods including Laplace transforms. Fourier series: eigenvalue problems and expansions in orthogonal functions. Partial differential equations: classification, separation of variables, solution by series and transform methods
Score: 13.936002 Details | Listing | Web page

Northwestern - ES_APPM 411-1: Differential Equations of Mathematical Physics

Methods for solving linear, ordinary, and partial differential equations of mathematical physics. Green's functions, distribution theory, integral equations, transforms, potential theory, diffusion equation, wave equation, maximum principles, and variational methods.
Score: 13.936002 Details | Listing | Web page

Northwestern - ES_APPM 442-1: Stochastic Differential Equations

Brownian motion and Langevin's equation. Ito and Stratonovich stochastic integrals. Stochastic calculus and Ito's formula. SDEs and PDEs of Kolmogorov, Fokker-Planck and Dynkin. Boundary conditions, exit times, exit distributions, stability. Asymptotic analysis of SDE, the Smoluchowski-Kramers approximation, and diffusion approximation to Markov chains. Applications.
Score: 13.936002 Details | Listing | Web page

Northwestern - ES_APPM 590-0: Research

Independent investigation of selected problems pertaining to thesis or dissertation. May be repeated for credit.
Score: 13.936002 Details | Listing | Web page

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