Teaching

I am teaching the following course units for the academic year 2024/2025.

MAID 1101: Mathematical Foundation for Artificial Intelligence

Level: MSc AI

Semester: 1

Offered: 2024

This course provides a comprehensive mathematical foundation for artificial intelligence. It builds upon fundamental concepts in linear algebra, probability theory, and basic statistics and overviews basics and advanced topics that are frequently encountered in AI applications. The students will learn the basic mathematical concepts for main AI systems, as well as realistic applications in AI of mathematical tools.

MAT 6104: Differential Equations and Dynamical Systems

Level: MSc Math

Semester: 1

Offered: 2024

This course provides an introduction to the subject of dynamical systems and its relation to Ordinary differential equations, from a pure mathematical point of view. It starts by giving a strong emphasis on many fundamental examples of dynamical systems, such as circle rotations, the baker map on the square and the continued fraction map. It then develops the mathematical background on the main concepts in topological dynamics, symbolic dynamics and ergodic theory. We give full proofs of some of the main theorems and show applications to other areas of Mathematics such as number theory and Biomathematics.

MAT 6106: Computational and Research Methods

Level: MSc Math

Semester: 1

Offered: 2024

The course prepares students for methods of empirical inquiry, computation and research in the Mathematics and Mathematical sciences.

MAT 2103: Introduction to Differential Equations

Level: BSc

Semester: 1

Offered: 2024

This course introduces the student to various methods for solving first order and second order differential equations and difference equations. The course also covers methods used in power series solutions for the first and second order differential equations and linear equations of nth order. Systems of differential equations are also covered. Applications in Physics, Ecology, Environment and Biology are given.

MAT 3104: Dynamical Systems

Level: BSc

Semester: 1

Offered: 2024

A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space. The mathematical models used to describe the swinging of a clock pendulum, the flow of water in a pipe, or the number of fish in a lake are examples of dynamical systems. A dynamical system has a state determined by a collection of real numbers. Small changes in the state of the system correspond to small changes in the numbers. The course describes the theory of dynamical systems in one and two dimensions.

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