Course Description
Modelling of systems which lead to differential equations (examples include vibrations, population dynamics, and mixing processes). Scalar first order differential equations, second-order differential equations, systems of differential equations. Stability and qualitative analysis. Implicit and explicit time-stepping. Comparison of different methods. Stiffness. Linearization and the role of the Jacobian.
Cross-listed with AMATH 342
Pre-requisites
AMATH 341/CM 271/CS 371, MATH 237 or MATH 247; Level at least 3A; Not open to General Mathematics students