Applied Mathematics Mahidol University

Overview

Mathematics programme

Mathematical Statistics

Random variables and their distribution functions; probability density and frequency functions; mathematical expectations and moments; moment generating functions; characteristic functions; probability inequalities; special discrete and continuous distributions; multivariate random vectors and their distributions; conditional and marginal distributions; conditional expectation; transformation and functions of random variables; modes of convergence; Central Limit Theorem; sampling distribution; estimation and testing of statistical hypotheses; principles of estimation: unbiasedness, minimum variance and consistency; sufficiency; multi-parameter estimation; maximum likelihood and moment estimates

Linear Algebra

Systems of linear equations; matrices & determinants; eigenvalues; eigenvectors; canonical forms; vector spaces; linear independence; bases; orthonormal bases; linear transformations; ranges; kernels; ranks; nullities; isomorphisms; solution spaces of linear differential equations.

Advanced Calculus

Sequences; series; convergence tests ; limits; continuity; derivatives integrals; Fundamental Theorems of Calculus; Intermediate Value Theorem; Mean Value Theorem; Taylor series expansion; curvilinear coordinates; change of coordinates; partial derivatives; multiple integrals and change of variables.

Complex Variables

Complex numbers; analytic functions; Cauchy-Riemann equations; conformality; analytic continuation; Cauchy’s Theorems; maximum modulus principle; Liouville’s Theorems; Residue Theorems and evaluation of real intergrals; principle of argument; Rouche’s Theorem.

The Applied Mathematics program of Mahidol University offers those job option after graduation:

• Lecturer

• Researcher 

• Government agencies