MATHEMATICAL PHYSICS
Class: Monday and Wednesdays, 12:30-1:45, Room 264 (Meyer Building)
Instructor: Roman Scoccimarro
Office Hours: Mondays 2-3PM, Room 506 Meyer.
Grades: Homework (30%), Midterm (30%), Final Exam (40%)
TA: Emiliano Sefusatti (es547@nyu.edu) [Recitations are on Thursdays, 9:30AM, Meyer 421]

Final Exam

Will be on Friday, May 10, from 10:00 to 11:50 (Room 264).

Textbooks

  • M.L. Boas, Mathematical Methods in the Physical Sciences , 1983, John Wiley & Sons
  • R. Snieder, A Guided Tour of Mathematical Methods for the Physical Sciences , 2001, Cambridge Univ. Press

    Homework [Due on Fridays, 3PM, Meyer 424]

    HMW1 [4Feb], HMW2 [Feb15], HMW3 [Feb22], HMW4 [Mar1-8], HMW5 [Mar22-29]

    HMW6 [Apr5], HMW7 [Apr19-26], HMW8 [May3]

    Solutions

    HMW1,HMW2,HMW3,HMW4,HMW5,HMW6,HMW7,HMW8

    Lecture Notes

    L1,L2,L3,L4,L5,L6,L7,L8,L9,L10,L11,L12,L13,L14,L15,L16,L17,L18,L19,L20

    Course Outline

    [Bi refers to chapter i in Boas' book, similarly Si for Snieder's book]

  • Linear Algebra and Vector Calculus (B3,B6,B10; S1-S12,S21) [4 weeks]
    - Linear Equations, Matrices, Determinants
    - Eigenvalues, Eigenvectors, Tensors
    - Gradient, Divergence, Curl, Gauss and Stokes Theorems
    - Laplacian, Conservation Laws, Scale Analysis

  • Fourier Analysis, Complex Analysis (B7,B14-B15; S13-S16) [3 weeks]
    - Dirac Delta Function, Fourier Series
    - Fourier Transforms
    - Analytic Functions and Complex Integration

  • Differential Equations (B8,B12-B13; S17-S20,S22) [6 weeks]
    - Ordinary Differential Equations
    - Green Functions, Normal Modes
    - Partial Differential Equations
    - Potential Theory, Perturbation Theory



    Other Recommended Textbooks

    (On reserve in Bobst Library)

  • G. Arfken, Mathematical Methods for Physicists
  • Ablowitz & Fokas, Complex Variables
  • V.I. Arnol'd, Ordinary Differential Equations
  • Tikhonov & Samarskii, Equations of Mathematical Physics