UBC Math 307 Tutoring

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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.

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