Applied linear algebra and linear dynamical systems with applications to circuits, signal processing, communications, and control systems. Topics: least-squares approximations of over-determined equations, and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm, and singular-value decomposition. Eigenvalues, left and right eigenvectors, with dynamical interpretation.

Prerequisites: Minimum of open water scuba certification from an internationally recognized training agency (plus six additional logged dives within the last year), ability to pass the AAUS medical evaluation, and consent of instructor.

God's design and wisdom in creation are evident in the mathematical arrangement and order of the universe.

The Double Mathematics course consists of completing the A Level Mathematics course in one year, leading on to complete the Further Mathematics A Level in the second year.