Trinity College Dublin

Students learn how to apply various standard methods (separation of variables, integrating factors, reduction of order, undetermined coefficients) to solve certain types of differential equations (separable, first-order linear, linear with constant coefficients); give examples of differential equations for which either existence or uniqueness of solutions fails; compute the exponential of a square matrix; and use either linearization or the Lyapunov theorems to check the stability of critical points for a given autonomous system.

Recognizing that forced migration represents one of the key societal challenges of our times, with an average of one person being displaced every two seconds, this course uses a multidisciplinary approach to provide a theoretical, practical, and experiential understanding of the different causes and impacts of forced migration globally and a comprehensive and up-to-date analysis of historical and contemporary issues in the field.  

This course explores the Roman world through the material culture of this vast and varied empire. It covers the full geographical extent of the Roman Empire examining subjects such as transport, technology and communication, urbanization and rural settlement, the economy and resources, religion and ritual. Regional case studies of Ostia and Portus, the Eastern Empire, and North Africa will all be included and allow an examination of how local communities were able to express their own regional identities.

Dylan Trigg argues that time and place are the twin pillars of identity, and that selfhood is constructed in the space in between them (A Phenomenology of the Uncanny, xiii). This course is concerned with that space in between, with the ways in which time and place interact to create or facilitate experience in children’s literature. Across a literary chronology that moves from 1954 to 2016, the course provides access points into diverse and complex representations of place and interpretations of time in books written for children and young people. Students engage with a broad range of texts, exploring how the central concepts have developed in the latter part of the 20th century, across a variety of modes and genres, using the core texts as touchstones for discussion and analysis. 

In this course, students study the main cycles into which Early Irish literature is divided for purposes of analysis; the varying views of modern scholarship regarding the nature and function of early Irish saga; the main features of heroic biography and apply the template to the sagas read; the underlying moral or message of the sagas studied; and the relevance of Early Irish saga for the modern reader.

In this course, students state and prove some standard theorems in number theory, use standard theorems to solve problems in number theory including some classes of Diophantine equations, and learn to use the following: divisibility and factorization of integers: prime numbers, gcd and lcm, Euclidean algorithm, Bézout's theorem, multiplicative functions such as sums of divisors; arithmetic in the ring Z/nZ and the field Z/pZ, Euler's totient function, Chinese remainder theorem, multiplicative order and primitive roots; sums of squares, quadratic forms, discriminant, class number; and continued fractions, expansion of rationals and quadratic irrationals, Diophantine approximation, and Pell-Fermat equations.

This course focuses on the methods and techniques for efficient management (modelling, manipulation, and retrieval) of data and information. It provides a foundation for later courses in database management and advanced information management. Students describe and use UML for information modeling; describe and use XML techniques for data modeling and querying; describe techniques for exposing and retrieving information on the web semantic web/linked data approaches; and understand the ongoing collaborative process of eliciting ethical implications which influence technology design.

On this course, students read a variety of Victorian texts from across many genres to explore many different issues and themes including print culture; periodicals and serialization; religious, sexual, national, and ethnic identity; the women’s movement; the crisis of faith; industrialization and the city; ecology; human and non-human animal identity; imperialism. Although the course is structured around the work of major representative writers, students consider a variety of literary and non-literary texts to get a sense of the dynamism and variety of writing and debate in the period. This course examines a range of English writing across the Victorian period, some of it very familiar and some of it neglected or forgotten work. Authors studied vary from year to year, but representative authors include the Brontës, Charles Dickens, Elizabeth Gaskell, Gerard Manley Hopkins, George Eliot, Elizabeth Barrett Browning, Thomas Hardy, Robert Browning, Alfred Tennyson, Christina Rossetti, Elizabeth Braddon, and H. G. Wells. A major focus of this course is the exploration of relationships between literary texts and the historical, social, and political contexts which shaped their imaginative creation. Essentially, this is a course about setting Victorian writing in its intellectual and cultural context. 

Topics include Islamic Reformism (al-Afghani and Abduh), the Arab Renaissance (Tahtawi, Amin), nationalism (al-Husri, Arslan), national culture (Hussein and Mahfouz), Pan-Arabism (Aflaq, Nasser), communism and leftism, Palestine Question (Zurayq, Kanafani), 1967 Critique (al-Azm, Laroui, Mernissi), Islamic Revival, Political Islam, and Arab Liberalism (Jabri, Ibrahim, Saadawi).

Topics in this course include an overview of the early Irish legal system (Brehon law), the structure of early Irish society and its institutions – in particular: the early Irish system of law enforcement in the absence of a centralized state and associated police force; the status of women in early Irish society, including marriage arrangements; Irish family structures; an overview of farming and food in early Ireland, and the nature and background of Irish "sacral" kingship and the concept of truth.