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    This document provides the schedule and topics for a Mathematical Physics course in the fall of 2006. It lists the dates, topics covered, and references for each class. The topics include integration techniques, complex analysis, series summation, ordinary differential equations, eigenvalue problems, perturbation theory, integral equations, calculus of variations, and a review session. References are provided for further reading.

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    Schedule

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    jalalh
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    This document provides the schedule and topics for a Mathematical Physics course in the fall of 2006. It lists the dates, topics covered, and references for each class. The topics include integration techniques, complex analysis, series summation, ordinary differential equations, eigenvalue problems, perturbation theory, integral equations, calculus of variations, and a review session. References are provided for further reading.

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    This document provides the schedule and topics for a Mathematical Physics course in the fall of 2006. It lists the dates, topics covered, and references for each class. The topics include integration techniques, complex analysis, series summation, ordinary differential equations, eigenvalue problems, perturbation theory, integral equations, calculus of variations, and a review session. References are provided for further reading.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    10 views1 page

    Schedule

    Uploaded by

    jalalh
    This document provides the schedule and topics for a Mathematical Physics course in the fall of 2006. It lists the dates, topics covered, and references for each class. The topics include integration techniques, complex analysis, series summation, ordinary differential equations, eigenvalue problems, perturbation theory, integral equations, calculus of variations, and a review session. References are provided for further reading.

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    Schedule for the Mathematical Physics, fall 2006

    Date/Loc Topic 1.11. Introduction. Integration techniques. 3.11. Complex analysis: residues and their applications. Reference On board. BF 6.1, 6.7-8

    8.11. Complex analysis: meromorphic functions, analytic continuation. BF 6.8, A 10.11. Summation of series. 10.11. Recitation 1: evaluation of integrals. 15.11. Approximate solutions of ODEs. 17.11. Approximate evaluation of integrals. 17.11. Recitation 2: series, approximate sols. of ODEs. 22.11. Eigenvalue problems. Greens functions. 24.11. Regular perturbation theory. 24.11. Recitation 3: Approximate methods. 29.11. Singular perturbation theory. BO 7.2, BO 9.1-2, 10.1, 10.4-5, 11.2 1.12. Multiple scale analysis. 1.12. Recitation 4: Eigenvalue problems, perturbation theory. 6.12. Integral equations. 8.12. Calculus of variations. 8.12. Recitation 5: Singular PT, integral equations. 13.12. Constrained variations. Sucient conditions. 15.12. Recitation 6: Calculus of variations. 15.12. Review. BF 2.4-6, A BF 8.1, 8.5-6 A, BF 2.1-3 BO 11.1-3 BF 7.1-4, 7.7-8 BF 4.11-12 BO 3.1, 3.4-5 A, BO 6.4 A, BO 8.2, BF 6.8

    BF = Byron and Fuller, Mathematics of Classical and Quantum Physics BO = Bender and Orszag, Advanced Mathematical Methods for Scientists and Engineers A = Additional notes, available on the web

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