Advanced Analytic Methods in Science and Engineering, Fall 2004 | OER Commons

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Advanced Analytic Methods in Science and Engineering, Fall 2004

Author: Cheng, Hung
Subject: Mathematics and Statistics
Institution Name: M.I.T.
Collection: MIT OpenCourseWare
Grade Level: Post-secondary

Abstract: A comprehensive treatment of the advanced methods of applied mathematics. Designed to strengthen the mathematical abilities of graduate students and train them to think on their own. Review of elementary methods in complex analysis, ordinary differential equations, and partial differential equations. Expansions around regular and irregular singular points; asymptotic evaluation of integrals, regular perturbations; WKB method; multiple scale method; boundary-layer techniques.

Course Type: Full Course
Languages: English
Material Types: Assessments, Homework and Assignments, Lecture Notes, Syllabi
Media Formats: Text/HTML, Downloadable docs

Conditions of Use: Creative Commons Attribution-Noncommercial-Share Alike 3.0

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Keywords

boundary-layer techniques, elementary methods complex analysis, ordinary differential equations, WKB method, multiple scale method, partial differential equations, expansions around regular irregular singular points, regular perturbations, Mathematics, asymptotic evaluation integrals