Seminar in Analysis: Applications to Number Theory
MIT's undergraduate seminar pairs advanced analysis techniques with number theory, drawing readings from current journals and books rather than a single textbook. Students take turns presenting papers to the class and get direct instruction and practice in both written and oral mathematical communication, so the course doubles as training in how to explain research-level material clearly. The topic rotates year to year; this iteration focuses specifically on analytic tools applied to number-theoretic problems. Materials on MIT OpenCourseWare include the syllabus, reading assignments, and structure for student presentations, offered free under MIT's OpenCourseWare license with no certificate attached. It suits students who already have grounding in real analysis and want exposure to how that machinery gets used in an active area of pure mathematics.