MATE 4072   Mathematics for Modern Science

Time and place

MJ 14:00--15:15 M-206A. Posted 13/05: we will meet May 14 in M-206A at 2pm for a review session.

Topics

Partial differential equations and boundary-value problems: Laplace equation, heat equation, Laplace equation in a cylinder, wave equation and vibrating string, vibrating membrane, integral transform solutions of pde.

Functions of a complex variable: Analytic functions, contour integrals, Laurent series, residue theorem and calculus of residues. Application: evaluation of definite integrals.

Probability and statistics: axiomatic setting, probability theorems, methods of counting, random variables, continuous distributions, binomial distribution, normal distribution, Poisson distribution.

Policy and dates

Homework problems   updated May 12.

Homework 2   due Mar 26.

Homework 3   due May 12.