Tracks

The mathematics a CS undergraduate needs to read algorithms papers, reason about correctness and complexity, and follow the standard core curriculum (discrete math, algorithms, theory of computation, and the linear algebra/probability every later course assumes).

Beyond the undergraduate core: the rigor and depth a master's or PhD student needs for research in algorithms, theory, machine learning, or systems — real analysis for optimization/ML theory, abstract algebra for cryptography and coding theory, and the deeper end of complexity theory.

The mathematics a civil engineering undergraduate needs — the calculus, linear algebra, differential equations, and probability/statistics behind statics, structural analysis, fluid mechanics, surveying, geotechnics, and transportation engineering.

Beyond the undergraduate core: the advanced mathematics for structural dynamics, finite element analysis, computational fluid dynamics, geotechnical modeling, and reliability-based design — partial differential equations, advanced linear algebra, vector calculus, and probabilistic risk analysis.