MA PH 351 - Mathematical Methods for Physics I

3 units (fi 6)(SECOND, 3-1S-0)

Faculty of Science

This final core mathematics course for physics programs covers Fourier Analysis, Vector Calculus and Complex Analysis. The first part covers generalized Fourier series and orthogonal functions, and the Fourier integral. The second part covers the operators of vector differential calculus, line and surface integrals, and the three important vector integral theorems of Green, Gauss and Stokes, with a direct application to Gauss' and Ampere's laws of electromagnetism; spherical, cylindrical and planar symmetry. The final part of the course covers the basic calculus of functions of a complex variable: the Cauchy-Riemann equations, analytic functions, the Cauchy-Goursat theorem and Cauchy integral formula, Laurent series, poles and residues, contour integration. Examples from physics will be emphasized throughout. Prerequisite: MATH 214 and one of MATH 102 or 125 or 127 and one of MA PH 251 or MATH 201 or MATH 334 or MATH 336.