Week 1         Overview and class procedures

                        Data and formats

                        Sample scientific observational system

Week 2         Indirect measurements

                        Least-squares method

                        Direct inversion

                        Constrained inversion

                        Singular value decomposition

Week 3         Large-scale computing

                        Hardware architectures: e.g. shared memory vs. distributed computing

                        Input/output and data bus bandwidth

                        Working with large data sets

                        Programming efficiency

                        Parallel programming techniques

Week 4         Transform methods

                        Complex analysis and basis functions

                        Fourier transforms

Week 5        The Fast Fourier Transform

                        Filtering, convolution, correlation

                        1, 2, and higher dimensions

                        Convolution theorem

Week 6        Midterm Examination

                        Vector operations

                        Parallelizing compilers

                        Coarse and fine quantization

Week 7        Interpolation and sampling

                        Geometrical resampling

                        Image registration

                        Quantization

Week 8        Imaging systems

Week 9        Simulation

                        Monte Carlo methods

                        Integration of complex fields

Week 10      Extended lab sessions - "final" exercises

                        Last assignment due Monday, March 14, noon