Analysis Dublin City University - Full Curriculum Program 2022/2023 Year - Dublin

This module will introduce students to the notions of sequences and series of functions and various forms of their convergence will be discussed. General Fourier series will be presented as a natural extension of linear algebra to infinite dimensions highlighting the geometric aspects of the theory. The nature of the convergence (with selected proofs) of general and trigonometric Fourier series will be explored. Applications of the various topics will also be considered. Students will attend lectures on the course material and will work, independently, to solve problems on topics related to the course material. The students will have an opportunity to review their solutions, with guidance, at weekly tutorials.