ELL780: Mathematical Foundations of Computer Technology

If you are doing the course, please join the Piazza forum (the access code has been announced in class).

Evaluation components

• Minor I: 20% [Paper]
• Minor II: 20% [Paper]
• Major: 40% [Paper]
• Scribing: 20% [Scribed lecture notes (intranet)] [Blank latex template] [Schedule]

References

1. Giuseppe C. Calafiore, Laurent El Ghaoui. Optimization Models. Cambridge, 2014.
2. M. S. Bazaraa, H. D. Sherali, C. M. Shetty. Nonlinear Programming: Theory and Algorithms. Wiley, 2008.
3. S. Chandra et al. Numerical Optimization with Applications. Narosa Publishers, 2011.
4. S. Graham Kelly. Advanced Engineering Mathematics with Modeling Applications. CRC Press, 2008.
5. P. K. Bhattacharyya. Distributions: Generalized Functions with Applications in Sobolev Spaces. Walter de Gruyter Publishers, 2012.
6. S. S. Venkatesh. The Theory of Probability Explorations and Applications. Cambridge, 2012.
7. Peter Morris. Introduction to Game Theory. Springer, 1994.

Planned lecture topics

Self-study topics

• Probability and Statistics: theoretical foundations, inference techniques, approximate inference (10 hours)
• Distributions (5 hours)
• Differential and Partial Differential Equations (5 hours)
• Linear Algebra: foundations, computational techniques (e.g., matrix inversion) (7 hours)
• Optimisation: applications of different algorithms and comparative analyses (15 hours)