Combinatorial Analysis
MIT OpenCourseWare offers this course on combinatorial problems and their solution methods. Topics covered include enumeration techniques, generating functions, recurrence relations, construction of bijections, an introduction to graph theory, network algorithms, and extremal combinatorics. Materials include lecture notes, problem sets, and exams that let students practice applying these methods to concrete counting and structural problems. The course assumes a mathematical maturity typical of upper-level undergraduates and builds toward the kind of reasoning used in theoretical computer science and discrete mathematics research. As with other MIT OCW offerings, all materials are free to access under a Creative Commons license, with no certificate offered. This is a self-study resource rather than an instructor-led class, useful for anyone wanting a rigorous grounding in combinatorics beyond an introductory treatment.