MATH 542 (3 credit hours) Linear functional and dual spaces,
Canonical form of linear transformations,
Jordan and rational forms,
Multilinear forms, Hermitian,
unitary and…

Matrices and their operations. Types of matrices. Elementary transformations. Linear systems of equations. Determinants, elementary properties. Inverse of a matrix. Vector spaces, linear…

Theory of curves in space R^3. Regular curves and reparametrization, Serret-Fernet apparatus, existence and uniqueness theorem for space curves. Local theory of surfaces: Simple surfaces,…