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UBC Math 307 Topics Are:
| Linear equations. Gaussian elimination, LU decomposition, condition number. Applications: polynomial interpolation, cubic spline interpolation. |
| Orthogonality. Orthogonal subspaces, fundamental subspaces of a matrix, orthogonal projection, Gram-Schmidt orthogonalization, QR decomposition, least squares approximation. Ap plications: fitting models to data. |
| Eigenvalues. Diagonalization, spectral theorem, SVD, pseudoinverse, SVD expansion, power method. Applications: principal component analysis, image deblurring, PageRank. |
| Discrete Fourier transform. Complex vector spaces, discrete Fourier transform, sinusoids, frequency, and phase. Applications: digital signal processing. |