Go Back to 618-212 (Mathematics, Faculty of Science, v4, p210)
NOTE: These differences were detected by computer program - they may or may not be substantive.
Different CONTACT
Source=[39 lectures (three a week).]
Xref = [39 lectures (three each week)]
Different CONTENT
Source=[Vector Spaces: vector spaces; norms; inner products; linear transformations; application to Fourier series. Matrices: review of general properties of matrices - multiplication, inverse, transpose, partitioning; computing determinants, inverses, rank; LU - factorisation. Eigenvalues: Eigenvalues of square matrices; multiplicity of eigenvalues; eigenvalues and eigenvectors of special matrices, including triangular, hermitian, real symmetric and positive definite matrices; diagonalisation of matrices by unitary matrices and by nonsingular matrices; Jordan canonical form; minimal polynomial; Cayley - Hamilton theorem; spectral decomposition; diagonalisation of quadratic forms; positive definite forms. Differential Equations: systems of ordinary differential equations; Laplace transforms; control systems; stability; Gershgorin's circle theorem; estimation of dominant eigenvalue. Coding theory: linear codes; generator and parity check matrices; Hamming distance, encoding and decoding; error-detecting and error-correcting codes; syndromes and standard arrays; hamming codes and perfect codes.]
Xref = [<i>Vector Spaces</i> Vector spaces; norms; inner products; linear transformations; application to Fourier series. <i>Matrices</i> Review of general properties of matrices - multiplication, inverse, transpose, partitioning; computing determinants, inverses, rank; LU - factorisation. <i>Eigenvalues</i> Eigenvalues of square matrices; multiplicity of eigenvalues; eigenvalues and eigenvectors of special matrices, including triangular, hermitian, real symmetric and positive definite matrices; diagonalisation of matrices by unitary matrices and by nonsingular matrices; Jordan canonical form; minimal polynomial; Cayley - Hamilton theorem; spectral decomposition; diagonalisation of quadratic forms; positive definite forms. <i>Differential Equations</i> Systems of ordinary differential equations; Laplace transforms; control systems; stability; Gershgorin's circle theorem; estimation of dominant eigenvalue. <i>Coding theory</i> Linear codes; generator and parity check matrices; Hamming distance, encoding and decoding; error-detecting and error-correcting codes; syndromes and standard arrays; hamming codes and perfect codes.]
Different PREREQUISITES
Source=[One of Mathematics 618-112, 618-122, 618-200, 618-211]
Xref = [One of Mathematics 618-102 (1995 Handbook) 618-112, 618-122, 618-200, 618-211.]
Mon Oct 9 16:30:34 1995
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