11318 modules
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MATH3076 2027-28
Hilbert Spaces
Hilbert spaces are the natural setting for infinite-dimensional linear systems endowed with geometry. Emerging from Fourier analysis and PDEs, Hilbert methods now unify modern analysis, numerical computation, probability, signal processing, machine learning (kernels/RKHS), and quantum theory.
Weeks 1–5 establish foundations: inner products and completeness; projection geometry and orthogonality; bounded operators and adjoints; spectrum and compact operators; and tensor products. Weeks 6–11 revisit the same mechanisms across major domains: Fourier series and wavelets; weak formulations of PDEs and Galerkin methods; RKHS, kernels, and representer theorems; probability as L2 geometry with conditional expectation as projection; martingales; discrete and continuous Itô isometry; and quantum uncertainty as a consequence of Cauchy–Schwarz. -
MATH3076 2029-30
Hilbert Spaces
Hilbert spaces are the natural setting for infinite-dimensional linear systems endowed with geometry. Emerging from Fourier analysis and PDEs, Hilbert methods now unify modern analysis, numerical computation, probability, signal processing, machine learning (kernels/RKHS), and quantum theory.
Weeks 1–5 establish foundations: inner products and completeness; projection geometry and orthogonality; bounded operators and adjoints; spectrum and compact operators; and tensor products. Weeks 6–11 revisit the same mechanisms across major domains: Fourier series and wavelets; weak formulations of PDEs and Galerkin methods; RKHS, kernels, and representer theorems; probability as L2 geometry with conditional expectation as projection; martingales; discrete and continuous Itô isometry; and quantum uncertainty as a consequence of Cauchy–Schwarz. -
LAWS1022 2025-26
Historical Development of the Common Law
The 'Historical Development of the Common Law' module tells the story of the Common Law and its major developments through a study of some of its most prominent personalities, historical moments and decisive cases. The module charts the development and growth of law from its earliest beginnings in Anglo-Saxon England, through its various transformations, up to the present day - from the earliest extant code of the reign of King Aethelbert of Kent, through Magna Carta and the Charter of the Forest, and on through the great constitutional crises and conflicts of the seventeenth century. The emergence of civil liberties and the protection of universal human rights, as well as the troublesome relationship between people and power, freedom and authority, are all brought to life through a study of some of the field's most important historical moments, personalities and cases. Selected works from across the field help to frame these discussions and provide an inspiring and entertaining means through which essential legal skills are encouraged and taught. -
LAWS1022 2026-27
Historical Development of the Common Law
The 'Historical Development of the Common Law' module tells the story of the Common Law and its major developments through a study of some of its most prominent personalities, historical moments and decisive cases. The module charts the development and growth of law from its earliest beginnings in Anglo-Saxon England, through its various transformations, up to the present day - from the earliest extant code of the reign of King Aethelbert of Kent, through Magna Carta and the Charter of the Forest, and on through the great constitutional crises and conflicts of the seventeenth century. The emergence of civil liberties and the protection of universal human rights, as well as the troublesome relationship between people and power, freedom and authority, are all brought to life through a study of some of the field's most important historical moments, personalities and cases. Selected works from across the field help to frame these discussions and provide an inspiring and entertaining means through which essential legal skills are encouraged and taught. -
LAWS2033 2026-27
Historical Development of the Common Law [AJ]
The ‘Historical Development of the Common Law' module tells the story of the Common Law and its major developments through a study of some of its most prominent personalities, historical moments and decisive cases. The module charts the development and growth of law from its earliest beginnings in Anglo-Saxon England, through its various transformations, up to the present day - from the earliest extant code of the reign of King Aethelbert of Kent, through Magna Carta and the Charter of the Forest, and on through the great constitutional crises and conflicts of the seventeenth century. The emergence of civil liberties and the protection of universal human rights, as well as the troublesome relationship between people and power, freedom and authority, are all brought to life through a study of some of the field's most important historical moments, personalities and cases. Selected works from across the field help to frame these discussions and provide an inspiring and entertaining means through which essential legal skills are encouraged and taught. -
LAWS2033 2025-26
Historical Development of the Common Law [AJ]
The ‘Historical Development of the Common Law' module tells the story of the Common Law and its major developments through a study of some of its most prominent personalities, historical moments and decisive cases. The module charts the development and growth of law from its earliest beginnings in Anglo-Saxon England, through its various transformations, up to the present day - from the earliest extant code of the reign of King Aethelbert of Kent, through Magna Carta and the Charter of the Forest, and on through the great constitutional crises and conflicts of the seventeenth century. The emergence of civil liberties and the protection of universal human rights, as well as the troublesome relationship between people and power, freedom and authority, are all brought to life through a study of some of the field's most important historical moments, personalities and cases. Selected works from across the field help to frame these discussions and provide an inspiring and entertaining means through which essential legal skills are encouraged and taught. -
SPAN3001 2027-28
Historical Memory in Modern Latin America
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SPAN3001 2028-29
Historical Memory in Modern Latin America
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SPAN3001 2026-27
Historical Memory in Modern Latin America
The module addresses memory activism relating to state violence in Latin America since the 1990's -
SPAN3001 2025-26
Historical Memory in Modern Latin America