• MAIN TEXT
• SUPPLEMENTARY TEXTS
• COVERED MATERIAL (TENTATIVE)
• Quarter 1
• Quarter 2
• Time permitting
• COURSE LOGISTICS

MAIN TEXT

Mathews and Walker "Mathematical Methods of Physics"

SUPPLEMENTARY TEXTS

Arfken "Mathematical methods for physicists"

Wyld "Mathematical methods for physics"

Volkovyskii, Lunts, and Aramanovich "A collection of problems on complex analysis"

Courant and Hilbert "Methods of mathematical physics"

Tikhonov and Samarskii "Equations of mathematical physics"

Budak, Samarskii, and Tikhonov "A collection of problems in mathematical physics"

Vladimirov "Equations of mathematical physics"

Vladimirov "A collection of problems on equations of mathematical physics"

COVERED MATERIAL (TENTATIVE)

Quarter 1

• Ordinary differential euqations (including series solutions of Bessel and Legendre equations)

• Wronskian, Sturm-Liouville, eigen-values, eigen-functions, Green's function

• Summation of series

• Contour integration

Quarter 2

• Fourier and Laplace transforms

• Introduction to generalized functions

• Green's function of linear differential, diffusion, wave, Laplace, Helmholtz, etc., operators

• Partial differential equations not requiring special functions

Time permitting

• Various approximation techniques: steepest descent, estimation of integrals, WKB, iterations

COURSE LOGISTICS