Teaching

I am teaching three courses this semester I (2024-2025), two undergraduate courses and one graduate course. Check the list below. 

MATH 353: Analysis I

Semester: I

Academic Year: 2024-2025

This course is an introduction to real analysis. The aim is to upgrade some notions from Calculus I and II by providing a topological approach to some notions as limit of a sequence, limit and continuity of a function.

MATH 447: Complex Analysis

Semester: I

Academic Year: 2024-2025

The objectives of this course are as follows:

1. Introduce students to complex numbers and functions of a complex variable.

2.Introduce students to the notions of differentiability (and analyticity), and integrability for a function defined on the complex plane.

MATH 637: Complex Analysis

Semester: I

Academic Year: 2024-2025

This course seeks to reexamine, with more rigorous analysis, material which commonly falls into an undergraduate programme in complex analysis. In particular the use of residues in integration. The Riemann mapping theorem and its implications. Montel’s theorem, Picard’s theorem and applications. Hilbert spaces of holomorphic functions and the Bergman kernel.

Find below some past courses 

MATH 223: Calculus

Semester: I

Academic Year: 2023-2024

This course builds on a first course in calculus that introduces students to the elementary idea of a limit, continuity and the derivative of a function. It provides conceptual understanding of fundamental definitions and theorems in mathematics that enable students to solve problems from diverse fields: mathematics, physics, engineering, economics, chemistry, biology, and other natural and social sciences. An intuitive approach, as well as mathematical rigor, is employed to explain fundamental concepts such as the Mean Value Theorem. The core elements of the course include applications of the first and second derivatives, exponential and logarithmic functions, hyperbolic functions, methods of integration and applications of the definite integral, sequences and series, as well as a brief introduction to ordinary differential equations.

MATH 372: Topology

Semester: II

Academic Year: 2023-2024

This course introduces some abstract notions in fundamental and applied mathematics. In

Topology, we are interested in properties of spaces that are preserved by

continuous functions. These properties include notions as connectedness

and compactness. It is the place where a true meaning is given to some notions as limit and even continuity of maps.  Applications of topology can be found in geometry,

dynamical systems, partial differential equations, data analysis, etc...