\subsecitem {0}{\pbf Basic Course CPS615 Contact Points}{1}
\subsecitem {0}{\pbf Course Structure}{2}
\subsecitem {0}{\pbf Definition of a Matrix}{3}
\subsecitem {0}{\pbf The Definition of a Vector}{4}
\subsecitem {0}{\pbf The Definition of Scalar Products}{5}
\subsecitem {0}{\pbf and Orthonormality}{5}
\subsecitem {0}{\pbf Types of Matrices}{6}
\subsecitem {0}{\pbf Eigenvectors and Eigenvalues}{7}
\subsecitem {0}{\pbf Structure of Matrix}{8}
\subsecitem {0}{\pbf Equations for Eigenvalues---I}{9}
\subsecitem {0}{\pbf Equations for Eigenvalues---II}{10}
\subsecitem {0}{\pbf Polynomial Equations for Eigenvalues}{11}
\subsecitem {0}{\pbf General Properties of Eigenvalues}{12}
\subsecitem {0}{\pbf Eigenvalues of Hermitean Matrices---I}{13}
\subsecitem {0}{\pbf Eigenvalues of Hermitean Matrices---II}{14}
\subsecitem {0}{\pbf Orthogonality of Eigenvectors}{15}
\subsecitem {0}{\pbf of Hermitean Matrices}{15}
\subsecitem {0}{\pbf Orthonormal Eigenvectors and}{16}
\subsecitem {0}{\pbf Unitary Transformation Matrices}{16}
\subsecitem {0}{\pbf Diagonal Form of General}{17}
\subsecitem {0}{\pbf Hermitean Matrix---I}{17}
\subsecitem {0}{\pbf Diagonal Form of General}{18}
\subsecitem {0}{\pbf Hermitean Matrix---II}{18}
\subsecitem {0}{\pbf Eigenvectors and Eigenvalues of}{19}
\subsecitem {0}{\pbf Symmetric Matrices}{19}
\subsecitem {0}{\pbf Finite and Infinite Dimensional}{20}
\subsecitem {0}{\pbf Matrices as Operators}{20}
\subsecitem {0}{\pbf ${d\over dx}$ as an Operator and Its}{21}
\subsecitem {0}{\pbf Scalar Products}{21}
\subsecitem {0}{\pbf $i{d\over dx}$ as a Hermitean Operator}{22}
\subsecitem {0}{\pbf The Laplacian as a (Matrix) Operator}{23}
\subsecitem {0}{\pbf Mapping of Function Spaces}{24}
\subsecitem {0}{\pbf to a Finite Number of Dimensions}{24}