University of Barcelona

This course provides an introduction to the Portuguese language aimed at developing intermediate reading and communication skills. Students expand their vocabulary, practice key grammatical structures, and learn to use common connectors in Portuguese. The course emphasizes comprehension of standard Portuguese texts, including literary texts of moderate difficulty, and explores important communicative features such as common expressions and forms of address. It also encourages reflection on language through comparison with other Romance languages and promotes awareness of linguistic and cultural diversity.

The course covers the role of companion animals in promoting human welfare, with a focus on behavioral science and inter-species relationships. Students will explore ethology, comparative psychology, co-evolutionary processes, the behavioral patterns of canines and felines, their disorders, and the benefits of human-animal bonds.

The course develops practical drawing skills, focusing on freehand representation of three-dimensional objects and the use of both dry and wet techniques. Students learn to select the most appropriate methods for different subjects, apply expressive and communicative criteria, handle drawing tools with precision, and accurately use the terminology of the discipline.

The course covers the historical evolution of the French language from its Romance origins to the present day. Examines both internal linguistic change and external historical, political, and cultural influences. The course also considers the expansion of French beyond Europe, contact with other languages and creoles, and modern linguistic perspectives on French in the 21st century.

The course introduces the Portuguese language and its global cultural context. Students develop basic communicative skills through the study of pronunciation, spelling, essential vocabulary, and core grammatical structures. The course also explores the presence of Portuguese in the world, fostering awareness of linguistic diversity, cultural practices, and fundamental pragmatic norms.

Know how to solve second-order ordinary linear differential equations using the series expansion method. Understand the utility of series developments of orthogonal functions and apply them to a series of partial differential equations of utility in physics. Understand the importance of contour conditions and their role in determining a discrete spectrum of eigenvalues and applying them to a series of partial differential equations useful in physics. Acquire ease in the use of Fourier and Laplace transforms in the resolution of differential and linear integral equations.