English

This is an introductory course on algebraic geometry. We cover affine/projective varieties, Zariski topology, Hilbert's Nullstellensatz, regular morphisms, Zariski tangent spaces, etc. Topics include Polynomial Rings, Varieties and Ideals, Irreducibility of Affine Varieties, Coordinate Rings, Polynomial Maps, Proof of the Nullstellensatz, Dimension of Affine Varieties, Tangent Spaces and Smoothness, Projective Varieties, Maps of Projective Varieties, Quasiprojective Varieties, and Further Quasiprojective Topics.

Prerequisites: Modern algebra (1), (2), Topology (1)

This course explores the rich anthropological literature on the multifaceted dimensions of self- and personhood across the Asia-Pacific region to collectively reflect on what personhood entails from an array of non-western vantage points. The Asia-Pacific region is home to a range of distinct indigenous intellectual traditions that have developed and interacted for millennia, each with their own ideas of self and personhood. This diverse cultural context provides fertile ground for examining how spirituality, kinship, modernity and technology intersect with individual and collective identities. By engaging discussions and comparative readings across the region, the course navigates the complexities of identity construction in relation to themes like animism, multiple selves, religion, citizenship and colonialism and examine how variedly communities grant personhood to spirits and monsters, robots and artefacts, animals and nature. 

This course introduces students to the quantitative treatment of chemical processes in aquatic systems. It includes a brief review of chemical thermodynamics and photochemistry as it applies to natural waters. Specific topics covered include acid-base chemistry, precipitation-dissolution, coordination, and redox reactions. Emphasis is on equilibrium calculations as a tool for understanding the variables that govern the chemical composition of aquatic systems and the fate of pollutants.

This course covers various topics on supervised learning (regression, classification) on tabular data, including fundamentals of statistical learning; linear models with and without penalization; course of dimensionality in nonparametric models; additive models; tree based methods and neural networks; and post-hoc interpretability.

This course examines the mechanics and productivity of a broad range of forest harvesting systems, as well as topics on forest access.

This course starts with a short introduction to the ice age theory, followed by a review of the formation of continental ice sheets, isostatic movements and eustatic sea-level fluctuations. Thereafter follows an introduction to the study methods of the properties of Quaternary and glacial deposits, and their dating. Subsequently, glacial erosion, transport and deposition are introduced, followed by a review of the origin and properties of tills, meltwater deposits, and glaciolacustrine and glaciomarine deposits. Finally, an overview is given of the periglacial environment (processes and landforms). A two-day field excursion in Jutland demonstrates some glacial landforms and deposits.

This course cultivates the ability to automate, enhance, and put into practice the startup process using generative AI and Agentic AI.  Even for students who have not decided on entrepreneurship as their career path, this course allows students to explore entrepreneurship as a career option through theory and case studies.  

As a startup accelerator, the course shares know-how and various techniques on how to nurture and invest in startups in actual practice, and provides practical solutions on how to reduce risks at all stages of entrepreneurship and execute more easily and quickly using more than 10 specialized AI solutions to overcome the vagueness and constraints of entrepreneurship itself. This course is designed for students who want to explore careers in the startup ecosystem, such as direct entrepreneurship, startup incubation, or venture capital, or who want to learn how small companies are created, survive, and grow, regardless of their future career path, and apply this knowledge to various fields. 

This course provides an overview of machine learning, a core technology of artificial intelligence. It begins with fundamental mathematical concepts related to linear algebra and probability theory, and then introduces key machine learning techniques, including supervised learning, unsupervised learning, and reinforcement learning.  

The course covers fundamental concepts and principles of machine learning algorithms, analysis of real-world data using machine learning techniques and programming tools, and development of machine learning solutions for real-world problems in various domains. 

Topics include Parametric Density Estimation, Linear Regression, Classification and Logistic Regression, Generative Learning Algorithm, Deep Learning and Neural Networks, Generalization and Regularization, Clustering and K-means Algorithm, Dimensionality Reduction, Generative Models, and Markov Decision Process and Reinforcement Learning. 

Prerequisites: Probability, Linear Algebra, Python 

This course offers a comprehensive understanding of how pathogens emerge, evolve and spread as well as an insight into the cutting-edge tools applied in their study and measures for their control. The course moves from pathogen-related genetic factors that enable pathogens to adapt to new hosts or acquire antibiotic resistance that make them so difficult to treat, through to ecological and host factors such as intensive agriculture, and climate change that bring us in to contact with new diseases.

This course examines architectural history and theory. It includes a concise chronological survey of key periods of architectural history from antiquity to the mid-nineteenth century, as well as closer investigation of some particular architectural themes and ideas across history. Students will interrogate these themes through intense study of significant buildings, which they will research, document, and analyze. They will be introduced to fundamental principles and skills of scholarly research in the discipline, including locating and evaluating sources, and constructing arguments.