Advanced Mathematics for Materials Study

This advanced graduate level course provides the mathematical foundation necessary to study engineering. This course covers the following topics: imaginary and complex numbers, matrix algebra, differential calculus applications (design optimization, finding irrational roots, related rates, propagation of error), integral calculus (irregular volumes, centroids, and moments of inertia), first order differential equations (decay, diffusion, cooling), second order differential equations (atomic vibrations, inertial damping), and inhomogeneous differential equations (NMR, FTIR, viscoelasticity).