To give you experience solving larger, more difficult problems involving multiple concepts, there will be three computer-based projects assigned during the semester. Suggested software is Matlab, ...

TODD, J. (1) Determinants and Matrices (2) Theory of Equations (3) Integration (4) Vector Methods: Applied to Differential Geometry, Mechanics and Potential Theory (5) Integration of Ordinary ...

The course is devoted to analytical methods for partial differential equations of mathematical physics. Review of separation of variables. Laplace Equation: potential theory, eigenfunction expansions, ...

Text: Partial Differential Equations, An Introduction to Theory and Applications by Michael Shearer and Rachel Levy, Princeton University Press, 2015.

Stochastic differential equations (SDEs) provide a foundational framework for modelling systems subject to randomness, incorporating both continuous fluctuations and abrupt changes. In recent decades ...

MATH11007 Calculus 1 and MATH11005 Linear Algebra & Geometry. The subject of differential equations is a very important branch of applied mathematics. Many phenomena from physics, biology and ...

Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...

Differential equations are a natural means to express the laws that govern a wide variety of systems: mechanical systems, systems of chemical reactants, of animal populations, wave phenomena, and many ...