For math majors looking to expand their education beyond core requirements, several advanced courses are highly recommended. Key subjects include algebraic topology, differential geometry, and complex analysis, which are essential for a deeper understanding of mathematical concepts. Courses in numerical analysis, graph theory, combinatorics, and theoretical computer science, particularly algorithms, are also valuable. Additionally, studying differential equations, stochastic variables, and functional analysis can enhance practical skills. The choice of courses may depend on individual specialization and research interests, emphasizing the importance of aligning coursework with future goals in mathematics.