- Summarize properties and constructions of matrix decompositions LU, QR and SVD
- Perform matrix computations using mathematical software Python, SciPy and Jupyter
- Compute solutions of large systems of linear equations using matrix decompositions
- Compute least squares approximations of large linear systems using matrix decompositions
- Compute eigenvalues of large matrices using iterative methods
- Analyze digital signals using the discrete Fourier transform
- Create mathematical models of real-world phenomenon such as computed tomography and digital signal processing