English

This is a second course in real analysis at the University of Edinburgh and builds on ideas in the analysis portion of Fundamentals of Pure Mathematics. The course begins with sequences and series of real numbers, introducing the concept of Cauchy sequences and results for bounded sequences. Subsequently, sequences and series of functions are introduced and concepts of uniform convergence and power series are discussed. The concept of Lebesgue integral on real line is then developed. Finally, the rudiments of Fourier series are introduced.
 

This course addresses the key issues that affect the economy and society in emerging markets: globalization, slowing growth, Covid-19, demography, women, urbanization, religion, commodities, water, renewable energies, climate change, currencies, enterprises, and geopolitical power politics. The course considers how the emergence of BRICS, the five major emerging national economies of Brazil, Russia, India, China, and South Africa, and the following wave of emerging countries appearing in the South, from Nigeria to Indonesia through Ethiopia and Vietnam, has created a strategic challenge for the OECD countries. The emerging markets are analyzed as both growing markets and competitors, with which new partnerships must be invented.

We live in a world profoundly shaped by science and technology. Yet few are equipped to analyse these aspects of the modern world, understand how they arose historically, and construct and assess arguments concerning the problems they raise. This course gives students the intellectual tools to do so — to live in and contribute to such a world as a historian and citizen. Accessible to students with no science background, each topic begins from a familiar controversy, newsworthy problem, or challenge in today’s world. Topics are drawn from controversy over the environment, animal rights, science and religion, race in science, modern sexuality, climate change, sustainability, IQ testing, technological disaster, eugenics, automation and robotics (in the workplace, medicine, and war), human experimentation, clinical trials in Africa and Asia, scientific experts in democratic societies, population and famine, intellectual property and biopiracy, what counts as a disease. The course introduces students to history of science, technology and medicine (STM) and their reciprocal relations with society, politics, government, economy, and culture.