MATH 3D03, Winter 2019
MATHEMATICAL PHYSICS II
Math 3D03 Mathematical Physics II, the sequel to Math 3C03, provides a fast moving tour of some mathematical themes that provide completely fresh insight into the equations of physics. The first of the two main themes is the surprising (perhaps even “unnatural”) usefulness of complex numbers for understanding and untangling physics problems. One might be prepared to believe this on the basis of what one learns in 3C03, for example by noting the similarity between the heat and wave equations, but Math 3D03 gives us a chance to delve deeply into this remarkable fact. The Cauchy Integral formula and Fourier Inversion Theorem are two of the landmark results we will achieve. The second main theme is to develop a foundation in probability and statistics. Along the way, we will use our new skills in complex analysis to efficiently develop the most important results. For one example, the Central Limit theorem will follow easily from the Fourier Inversion theorem. In addition to theoretical underpinnings, a quick introduction to statistical reasoning will lead us to some practical methods of statistical inference and hypothesis testing.
INSTRUCTOR: D. Valdebenito
Functions of a complex variable, contour integrals, probability and statistics.
Three lectures, one tutorial; one term
Prerequisite(s): MATH 3C03
Not open to students with credit or registration in MATH 3X03 or to students registered in Honours Mathematics and Physics
PLEASE REFER TO MOSAIC FOR THE MOST UP-TO-DATE INFORMATION ON TIMES AND ROOMS