Ovidiu-Neculai Avadanei

Ma 108 abc. Classical Analysis. 9 units (3-0-6); first, second, third terms, 2026-27. Prerequisites: Ma 1 or equivalent, or instructor’s permission. May be taken concurrently with Ma 109. First term: structure of the real numbers, topology of metric spaces, a rigorous approach to differentiation in R^n. Second term: brief introduction to ordinary differential equations; Lebesgue integration and an introduction to Fourier analysis. Third term: the theory of functions of one complex variable.
Instructors: R. Zhao, Avadanei, X. Zhang

Ma 2/102. Differential Equations. 9 units (4-0-5); first term, 2026-27. Prerequisites: Ma 1 abc. The course is aimed at providing an introduction to the theory of ordinary differential equations, with a particular emphasis on equations with well known applications ranging from physics to population dynamics. The material covered includes some existence and uniqueness results, first order linear equations and systems, exact equations, linear equations with constant coefficients, series solutions, regular singular equations, Laplace transform, and methods for the study of nonlinear equations (equilibria, stability, predator-prey equations, periodic solutions and limiting cycles).
Instructors: Gherman, Avadanei