Numerous aspects of the NSA’s mission have to do with mathematics. Whether it is the analysis of encrypted communications or metadata, certifying encryption algorithms, or other intelligence tasks, advanced knowledge of mathematics is a key part of all NSA activities.
Because data analysis is at the core of the NSA’s mission, you will be required to demonstrate knowledge of linear algebra and calculus. This will include questions on differentiation, integrals, linear equations and linear transformations, vector spaces, eigenvalues, and eigenvectors.
While it is called the ‘Mathematical Foundations’ section, it is generally considered particularly challenging. It is intended to help the agency find candidates who are not merely good at mathematics, but candidates who actively excel in it. Particularly, a strong understanding of linear algebra, number theory, and combinatorics is needed due to the agency’s focus on cryptography and cryptoanalysis.