Courses Detail Information
VV286 – Honors Mathematics IV
Credits: 4 credits. No credits are counted towards graduation for those who have completed Vv256.
Pre-requisites: Vv285 or permission of instructor
Ordinary differential equations (ODEs) of first order; Systems of first-order equations; the existence and uniqueness theorem of Picard-Lindeloef; eigenvalue problems, diagonalization and the spectral theorem; Jordan normal form; application to linear systems of first-order equations; linear second-order equations; elements of complex analysis and residue theory; the Laplace transform and its inverse with applications to ODEs; power series solutions of ODEs by the Frobenius method; Bessel’s and Legendre’s differential equations; the Weierstrass approximation theorem and generalized Fourier series; introduction to the classical partial differential equations of physics and some basic solutions by separation of variables.
Syllabus: View it (PDF)