2 Classes (24 Units)18.152 (12), 18.306 (12)
18.152 Introduction to Partial Differential Equations
Introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. Includes mathematical tools, real-world examples and applications, such as the Black-Scholes equation, the European options problem, water waves, scalar conservation laws, first order equations and traffic problems.
18.152 will be offered this semester (Spring 2018). It is instructed by J. Speck.
Lecture occurs 1:00 PM to 2:30 PM on Tuesdays and Thursdays in 2-147.
This class counts for a total of 12 credits.
You can find more information at the 18.152: Introduction to Partial Differential Equations (Spring 2016) site or on the 18.152 Stellar site.
18.306 Advanced Partial Differential Equations with Applications
Concepts and techniques for partial differential equations, especially nonlinear. Diffusion, dispersion and other phenomena. Initial and boundary value problems. Normal mode analysis, Green's functions, and transforms. Conservation laws, kinematic waves, hyperbolic equations, characteristics shocks, simple waves. Geometrical optics, caustics. Free-boundary problems. Dimensional analysis. Singular perturbation, boundary layers, homogenization. Variational methods. Solitons. Applications from fluid dynamics, materials science, optics, traffic flow, etc.
18.306 will be offered this semester (Spring 2018). It is instructed by R. Rosales.
Lecture occurs 9:30 AM to 11:00 AM on Tuesdays and Thursdays in 2-147.
This class counts for a total of 12 credits. This is a graduate-level class.
You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.306&btnG=Google+Search&inurl=https site or on the 18.306 Stellar site.
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