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His style is charming, because he always writes with freedom and animation.

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In some passages possibly his language might be misunderstood. We have thought it best to add a few notes. The notes of the American editor are signed "A.

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MY DEAR COWELL: As these Lectures would never have been written or delivered but for your hearty encouragement, I hope you will now allow me to dedicate them to you, not only as a token of my sincere admiration of your great achievements as an Oriental scholar, but also as a memorial of our friendship, now more than thirty years old, a friendship which has grown from year to year, has weathered many a storm, and will last, I trust, for what to both of us may remain of our short passage from shore to shore.

I must add, however, that in dedicating these Lectures to you, I do not wish to throw upon you any responsibility for the views which I have put forward in them. I know that you do not agree with some of my views on the ancient religion and literature of India, and I am well aware that with regard to the recent date which I have assigned to the whole of what is commonly called the Classical Sanskrit Literature, I stand almost alone.

This is true here, and while you will see the second problem solved in your course, the first is far too deep and was famously solved by Andrew Wiles. In applied mathematics we use mathematics to explain phenomena that occur in the real world. You can learn how a leopard gets its spots, explore quantum theory and relativity, or study the mathematics of stock markets. We will encourage you to ask questions and find solutions for yourself.

We will begin by teaching you careful definitions so that you can construct theorems and proofs. Above all, mathematics is a logical subject, and you will need to think mathematically, arguing clearly and concisely as you solve problems. For some of you, this way of thinking or solving problems will be your goal. Others will want to see what else can be discovered.

Either way, it is a subject to be enjoyed.


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Decisions regarding continuation to the fourth year do not have to be made until the third year. The first year consists of core courses in pure and applied mathematics including statistics. Options start in the second year, with the third and fourth years offering a large variety of courses, including options from outside mathematics.


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  4. Tutorials are usually students and a tutor. Class sizes may vary depending on the options you choose. There would usually be around students though classes for some of the more popular papers may be larger. Most tutorials, classes, and lectures are delivered by staff who are tutors in their subject. Many are world-leading experts with years of experience in teaching and research. Some teaching may also be delivered by postgraduate students who are usually studying at doctorate level. The options listed above are illustrative and may change. Year 4: Final University examinations, Part C: eight, nine or ten papers or equivalent, including a dissertation.

    The course offers research-level training in: Particle physics, Condensed matter physics, Astrophysics, Plasma physics and Continuous media. The content and format of this course may change in some circumstances. Read further information about potential course changes. Wherever possible, your grades are considered in the context in which they have been achieved.

    The majority of those who read Mathematics will have taken both Mathematics and Further Mathematics at A-level or the equivalent. However, Further Mathematics at A-level is not essential. It is far more important that you have the drive and desire to understand the subject. Our courses have limited formal prerequisites, so it is the experience rather than outright knowledge which needs to be made up. If you gain a place under these circumstances, your college will normally recommend suitable extra preparatory reading for the summer before you start your course.

    While AEA and STEP papers are not part of our entry requirements, we encourage applicants to take these or similar extension material, if they are available. If, and only if, you have chosen to take any science A-levels, we expect you to take and pass the practical component in addition to meeting any overall grade requirement. If English is not your first language you may also need to meet our English language requirements. The information below gives specific details for students applying for this course.


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    Which position do we occupy in the world? And at whose expense? Cultural studies deal with the here-and-now more than any other social science, because it is precisely in the here-and-now that concrete intervention is possible. In fact, universities provide an ever-improved language and cultural training that are of vital importance to the operation of transnational capital markets. In this context, it proves instructive to examine the other side of knowledge: ignorance.

    Code discusses the case of James Mill to demonstrate the connections between hegemony, ignorance, and so-called objectivity. In , Mill wrote History of India , acknowledging that only his complete ignorance of the local tradition and custom of the Indian subcontinent had enabled him to produce such an important book. Code finds these examples to be emblematic of a politics of ignorance of the colonized, who stood for and stand in opposition to the universal, humanistic statements of the Enlightenment.

    Spivak describes her work as that of a tailor who creates one-of-a-kind garments for individual use.

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    Each person is different, each context so divergent, that it always requires new approaches. Thus, for Spivak, communication is no mass-production procedure, but a careful and slow process that depends on the specifications made by the person for whom the communication is being tailored. This metaphor reminds us also of critical gallery education, which takes the space it needs in order to render art discernible for those who are not normally listened to. Here, teaching becomes more a question of strategy than theory.

    And its meaning is twofold: we must decide what we teach and how we do it. Instead of delivering theory to students, the issue at stake, following Spivak, is to convey the fact that knowledge—just as any strategy—can never be considered universal nor applied without consequences. Each situation is unique and requires a distinctive strategy, for which knowledge must be provided. Naturally, the limits as well as the risks such an approach involves—including the inevitable aporia that emerge in the teaching process—must be carefully examined. Spivak proposes that teaching is an intersubjective exercise, during which we must permanently ask ourselves: What must we convey?

    What ought to be learnt? Although we always assume that the group learns, the uncertainty remains as to what actually happens when we are passing on knowledge. Spivak pinpoints this issue by elucidating that which takes place when the margins enter the center of pedagogic institutions, when the oppressed cease to be silent, and deconstructive and feminist readings disrupt the academic canon.

    The aim is to be sensitive to this movement, letting it swing to and fro, while avoiding any disciplinary action that would bring it to a standstill.

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    On the other hand, she describes learning as a training of the intellect and insists that this training of the mind involves hard work. Following Spivak, the point is to decolonize the imagination and, to this end, it is a matter of constant exercise. The intellect can only be productive when it has previously learned to make use of itself. In addition, pedagogues should not indulge in the romantic notion that the grass is greener on their side.

    What do we need to change in ourselves in order for what they have to say to become discernible, or audible to us? Here, gallery education may be able to contribute to this venture if we understand it as a critical work of translation. Here he questions the ideal of the transparency of relationships, as well as an overly textualized view of translation.

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    India: what can it teach us? A course of lectures delivered before the University of Cambridge

    Transformation must flow from those marked as target groups, instead of being enforced as external measures. The resulting pattern is not predetermined, the weaving process never finishes and remains twofold as well: the weaver is simultaneously the worker and the fabric to be worked. This demands a great deal of patience from those who teach, because the processes are slow, if not to say subtle—just like the pervasive, historical violence embedded in the social weave. Those advocating change must—this is urgent for critical education—be willing to change themselves.

    While the educational system in most post-colonial contexts amounts to a corrupt ruin of the colonial model, in Europe we face a trivial, tacky replica of social imperialism. It is impossible to reflect on decolonizing education without an understanding of the violent structures that permeate education; otherwise, transformation will fail. And how have I become the person I am now? And at whose expense have I become like this? She not only refers to academic rules, but also to rules ingrained in expectation, common sense, normality. A Critique of Postcolonial Reason advocates this kind of rule-breaking, which involves talking across the borders as well as thinking through and beyond the disciplines.

    Those who want to break the rules cannot expect others to find rule-breaking as attractive as they do. Not an insignificant number of people are satisfied with the status quo and reject the will to resist. Initiating the process of unlearning within oneself and others requires an openness to experimentation and the room to awaken such openness.

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    Post-colonial theory holds the promise of a critical intervention that should neither be disregarded as irrelevant, nor overestimated in its possibilities. It requires constructive criticism from within and wide participation in the debates, which will lead to a necessary pluralization of perspectives. Otherwise post-colonial theory will lead to disappointment, just like previous critical theories. And yet, we still consider it possible to envision non-dominant futures by recourse to post-colonial theory.

    Education should not be about preaching to the converted, but about encouraging people to think independently, capable of disagreement. In this way, post-colonial pedagogy opposes fixed goals, because no counter-movement is free from the risk of cooption. In his book The Post-Colonial Exotic, 43 Graham Huggan argues that utopian pedagogy is the locus of post-colonial studies, which identifies the institutional boundaries that hinder their political effectiveness—and simultaneously embodies the attractiveness of this field.

    According to Spivak, art and education can create spaces for subaltern groups by articulating the suppressed histories of subaltern resistance. But first, the complicity between education and art in the reproduction of hegemonic relations must be acknowledged. Therefore, it is the im possibility of non-violent education that must be examined. Because post-colonial pedagogy questions that which remains uncontested in educational and cultural machinery, its practice can certainly be an unsettling experience for those participating in it.

    We must, as Spivak suggests, realize how we have become subjects-in-history and learn to identify how texts have been culturally constructed; how they emerge out of specific social settings and cultural conditions; how they produce and reproduce themselves and others in difference. Only then does unlearning become a means to imagine non-dominant futures.

    We wish to thank Inka Gressel for reviewing and commenting on the manuscript of the lecture. Wo laufen S s ie denn hin?!