Combinatorics

Course: MATH31003-01 Semester: Fall 2026 Instructor: Gennady Uraltsev Meetings: Monday, Wednesday, Friday 8:35-9:25 a.m., GEAR 108

Welcome to Combinatorics! We will explore the mathematics of discrete objects: the many ways things can be selected, arranged, connected, and counted. The course covers basic combinatorial techniques, the principle of inclusion-exclusion, generating functions, and recursive relations. Additional topics may include modular arithmetic and applications to encryption, coding theory, graph theory, counting with symmetries, and algebraic structures.

Start here

• Syllabus: how the course works, grading, materials, and what to expect.

• Course calendar: class dates, current topics, holidays, and exams.

• Assignments: written homework and online questions.

• Resources: references and student-support links.

• Lecture notes: notes organized by course unit and lecture.

Please check the course calendar for holidays, University deadlines, and topic updates. Course announcements, grades, and submission links are maintained in Blackboard.