Courses Detail Information
VV285 – Honors Mathematics III
Credits: 4 credits. No credits are counted towards graduation for those who have completed Vv255.
Pre-requisites: Vv186 or permission of instructor
Linear systems of equations and the Gauss-Jordan algorithm; finite-dimensional vector spaces, linear independence and bases; scalar products and Gram-Schmidt orthonormalization; linear maps and matrices; determinants; topology of normed spaces; the derivative and applications; curves, potentials and vector fields; higher derivatives and applications; the Riemann integral in n-dimensional space; integration on curves and surfaces; the classical theorems of vector analysis in three dimensions (Green, Gauss and Stokes); the inverse and implicit function theorems (as time permits).
Syllabus: View it (PDF)