Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear ...

Quantum control of linear stochastic systems encompasses the rigorous study of controlling quantum devices whose dynamics are inherently influenced by random fluctuations. These systems are described ...

Functional differential equations with forward and backward delays arise naturally, for instance, in the study of travelling waves in lattice equations and as semi-discretizations of partial ...

Consider an evolution equation with energy dissipation, ${\textstyle\frac{\partial}{\partial t}}y(x,t)=Ay(x,t)+By(x,t)$ on a bounded x-domain Ω, where By signifies a dissipative perturbation to an ...