|Algebra and Geometry||Galicza Pál||Matematikai és Műszaki Tudományok||Elmélyülés||2017-2018||Nyár||
Some people claim that our 3-dimensional perception of the surrounding world is only a simple (yet very complex) anomaly; the universe in truth is embedded in a 10 (or 26 depending on the prophet) dimensional space. While the module neither intends to support nor disprove the above claim, it offers the students a well- (or better) grounded definition and understanding of dimension and many related concepts such as spaces and linear maps.
The module will offer an approach to linear algebra through various geometric problems in two, three, and even higher dimensions (including 10 and 26, apparently). Starting with classical coordinate geometry in two and three dimensions, we will describe geometric transformations of various kinds. We will introduce and study the complex numbers and their useful properties that come in handy when describing certain planar transformations. We will investigate a possible generalisation of the known techniques in coordinate geometry called linear algebra.
Linear algebra is an important field of study in Mathematics with a wide range of applications in many fields, such as analysis, probability, or differential equations. This course will cover the following topics in linear algebra: vectors, matrix algebra, linear system, and determinants. This module will be especially useful for students interested in mathematics, physics, and engineering.
|Algorithms||András Kornai||Matematikai és Műszaki Tudományok||Elmélyülés||2017-2018||Nyár||
This module is the continuation of Algorithms 1, now focusing more on how things connect rather than introducing extraneous concepts. With that, it is aimed at all those who are familiar with the basics of the theory of algorithms (e.g., different design paradigms, the notion of complexity, lists, trees, hash tables, queues, heaps, searching and sorting) but tempted to broaden and deepen their understanding of the subject. The Devil is in the details, says the adage, so we will try to reveal the subtle interplay between theory and practice by looking at problems that are easy to implement yet illustrative to see in action. We will discuss these pearls together, enriching your technical palette to draw from. For its simplicity (at least at this level), our chosen programming language is Haskell. With that, we will also introduce some elements of functional algorithm design (e.g., currying, laziness). Though we will learn all the necessary instruments Haskell provides, we still don’t get down to the nitty-gritty of computer programming. Instead, we take a look at how issues in practice pave the way for theoretical findings.
|Approaches to Art History||Christoph Gottstein||Művészetek és Bölcsészettudományok||Elmélyülés||2017-2018||Nyár||
The art history seminar will give students a broad overview of the development of Western art and of a number of crucial moments that changed its trajectory. Among these feature the transition from Rococo to Neoclassical painting, the emergence of the various -isms of the 19th century, from Realism to Impressionism and Expressionism, and the birth of abstract art. In addition, the course will investigate the relationship of art and power, the particular case of women artists and feminist art, and the interplay between “high” art and mass culture.
|Art and Anatomy||Nha Le||Természettudományok||Orientáció||2017-2018||Nyár||
The aim of this module is to give a more advanced knowledge of the human body to students interested in natural sciences. Although discovered comprehensively from ancient time, human anatomy still fascinates modern scientists. The discipline deals with the complete view of how a human body is architected and how different parts of the body can work in a sophisticated and well-tuned manner. Furthermore, the subject itself is a complete encyclopedia of gross human structure. While going through the whole module, basic knowledge of anatomical position and light touch of cellular biology are discussed. Meanwhile, a more advanced level of anatomy will broaden talented high school students’ perspective in a systematic manner. All main parts of the body will be taught accordingly: Upper and Lower Limb, the Skull and its Brain, Thoracic and Abdominal Compartment, and the Pelvis. As a separate chapter, the human skin is depicted in great detail in order to deepen students’ knowledge of the body’s largest organ. On successful completion of the module students will generally have perfected their ability to identify and grasp the meaning of sophisticated concepts of a human body’s main parts, recognize the different systems (skeletal build-up, muscular structure, vascular supply, nervous innervation and lymphatic drainage) within each part, and interpret the relationship of all main parts on the body as a whole. The syllabus is designed in a way that sufficient amount of time can be allocated for discussing any relevant issue regarding the topic. Students are encouraged to actively participate in such debates, with a healthy level of skepticism.
|Arts, Literature and Humanities||Jane Hattatt||Művészetek és Bölcsészettudományok||Freshman||2017-2018||Nyár|
|Big Questions of the Universe||Vámi Tamás Álmos, Dálya Gergely||Matematikai és Műszaki Tudományok||Orientáció||2017-2018||Nyár||
This module aims to raise as yet unanswered questions in Science, especially in modern physics. The current status of the answers will be shown, though these solutions are still incomplete. The goal of the module is to encourage students to ask questions and think the problems over thoroughly, maybe also create new ideas. By completing this module the students will get a good insight into why modern physics is extremely interesting and what some of its specific fields involve. We will start with the Big Bang Theory and how our universe evolved, before we will discuss how we can use science in order to understand our world. In this process, we will explore in detail what scientists do at CERN, and dark matter, dark energy, gravitational waves and the basics of Quantum Mechanics and General Relativity will be explained. We will also deal with extreme temperatures, new states of matter, fusion and global warming as well. For more detailed description, please look at the sections down there.
|Biology of the Cell I.||Hódsági János||Természettudományok||Elmélyülés||2017-2018||Nyár||
Cells are the basic units of life that constitute every living organism. They vary largely in size, organisation and appearance from bacteria, through huge plant cells to eukaryotes. However, they all are very complex systems that have evolved to survive and reproduce, supported by intricate mechanisms. The discovery of DNA as the carrier of genetic information, and understanding how genetic information is translated into proteins revolutionised biology and led to a new discipline: molecular biology. The concepts and methods of molecular biology enable us to catch a glimpse of the intimate inner life of cells. In this module, we are going to look at cells at the molecular level, covering topics such as cellular organisation, energetics, membranes, transport systems, and intra- and intercellular communication. A strong emphasis is put on learning about the scope and applicability of experimental techniques in molecular biology. At the end of the module, student should be able to select from molecular experimental techniques and apply concepts in order to solve cell biological questions.
|Calculus 1||Szabó Dávid||Matematikai és Műszaki Tudományok||Elmélyülés||2017-2018||Nyár||
The aim of this module is to give a solid knowledge of the common techniques and usage (optimisation problems, sketching graphs, calculating volumes) of differentiation and integration of functions. We will concentrate on the results, techniques and their applications rather than on the rigorous theory, so the module is accessible to a wider audience. The module is suitable for students with no or limited knowledge on this topic. As the covered topics are one of the most important part of Mathematics for UK higher education, the module is highly recommended for those wishing to study Mathematics, Physics or Engineering but students with interest in related fields are also welcome, Economics in particular.
|Calculus 2||Szabó Dávid||Matematikai és Műszaki Tudományok||Elmélyülés||2017-2018||Nyár||
As the continuation of Calculus 1, the style and the goal of this module will be the same. We will aim to cover advanced topics in differentiation, integration and their application and will learn about simple types of differential equations. The knowledge of the Calculus 1 module is a prerequisite for this module. Some topics here are not part of the Hungarian curriculum, but are essential for university studies at the UK. The target audience consists of students aiming to study Mathematics, Physics or Engineering.
|Civil Resistance||Misetics Bálint, Greskovits György||Társadalomtudományok||Orientáció||2017-2018||Nyár||
The goal of the module is to introduce the students into the field of civil resistance studies, including its classical historical tradition (Thoreau, Tolstoy, Gandhi, Martin Luther King) as well as contemporary research findings. The module is therefore interdisciplinary and includes themes from political philosophy, political theory and empirical political science. The module will mainly rely on the discussion of assigned essays, complemented with documentaries. It is also the goal of the module to facilitate discussion on the justifiability, applicability and relevance of civil resistance to our contemporary societies. Special emphasis will been given to the historical and contemporary local (Hungarian) instances of civilian resistance.
|Class||Havas Ádám Kornél||Társadalomtudományok||Elmélyülés||2017-2018||Nyár||
The module is about the notion of capital and the socio-economic formation called capitalism. It is an introduction to the analysis of different aspects of capitalism and capitalist society from economic, sociological, historical and philosophical viewpoints. The goal is neither to present one “best” theory, nor even to develop a totally coherent interpretation of capitalism relying on different authors. Instead, the main objective of the module is to familiarise students with the conceptual tools that can be used for the interpretation and also critique of present-day economic and social developments. The concepts include, for example, commodity fetishism, use value and exchange value, exploitation, ideology, economic systems, but also symbolic capital and reproduction of inequalities. We will read texts by the following authors: Karl Marx, Karl Polányi, Herbert Marcuse and Pierre Bourdieu.
|Close Reading||Fejérvári Boldizsár||Művészetek és Bölcsészettudományok||Orientáció||2017-2018||Nyár||
“Close reading is a technique pioneered by the so-called ‘New Critics’ of the mid-twentieth century. It consists in reading a text carefully, paying attention to all textual and structural elements including imagery, voice, narrative technique, vocabulary, themes, and ellipses. Though there is no one method that can be used to approach all texts, there are some skills students will learn in the course of this module that will help them understand and analyse most literary texts they will come across. The readings will include short stories by Charlotte Perkins Gilman, Kate Chopin, Saki, James Joyce, Joseph Conrad, William Faulkner, and Virginia Woolf.”
|Critical Thinking Skills and Exam Essay Writing||Lucie Atkins||Készségtárgyak||2017-2018||Nyár||
“You may have been asked to write an essay, yet you were most likely asked to provide a review, a description of some event of a natural or man-made phenomenon, or explain in a descriptive way some social reality. However, here in Milestone and certainly at the universities you are trying to get to, you will be asked to present your opinion and support it with well-researched sources in the form of a well-structured argument.
This course is designed to help you to learn to make that shift from descriptive to an analytical and argumentative way of writing. We shall explore how to choose your topic, how to supply it with the context necessary for the reader to understand, and how to find your voice in a way which is well-reasoned and plausible as well as resting on evidence and references to facts originating from your research or delivered by a thorough review of the works of others. “
|Developmental Psychology||Horváth Klára||Természettudományok||Elmélyülés||2017-2018||Nyár||
This module will give an overview of the psychological aspects of child development, with a focus on the methodological challenges of studying young children’s minds. The course will discuss the development of some key cognitive processes, such as memory, object perception, language, along with emotional development. Developmental disorders (e.g. autism, ADHD, eating disorders) will also be introduced, with an emphasis on how cutting-edge research can advance our understanding of these diseases. In the end of the course, students should be able to critically interpret research findings from the area of Developmental Psychology and to formulate appropriate research questions. The course would be particularly helpful for aspiring psychologists and medics, but students interested in child studies, social sciences, biology could benefit as well.
Evolutionary theory is the core concept in biological sciences, the ultimate cause of everything biology studies. This module aims to introduce students to the main concepts of the discipline, to some of the current research topics and to help them develop evolutionary thinking in biology. In the course of this module students will learn about the underlying genetics and the mechanism of evolution, about Charles Darwin, the founder of the discipline and will get a deeper understaning of the different areas encompassed in the theory. These include some of the major transitions in evolution such as the origin of life, the genetic code, the origin of sex, and the development of eukaryotes through self-organisation and symbiogenesis. They will get familiar with the common arguments of the creationist movement, and learn some of the logical fallacies through the critical analysis of texts and debates. Students will study the various forms of evidence that support evolution. Also, students will explore topics close to our own life, for instance the evolution of the Homo genus, the origin of anatomically modern humans and how evolutionary theory helped us understand the origin and evolution of human diseases using HIV as an example.
|Feminism and Gender Inequality||Társadalomtudományok||Elmélyülés||2017-2018||Ősz||
This module introduces key issues of gender inequality and the main strands of feminist thought. The course is organised around three central themes: reproductive labour, care work and intra-household injustice; objectification and the representation of women; and masculinity and violence against women. Through these themes, we will explore the concepts and theoretical discourses in feminist thought, related debates between different feminisms, and the critical import of feminist insights to a variety of disciplines. The course will focus on developing students’ analytical and critical skills. Participants will acquire a ‘gender lens’. This means that you will become capable of applying a feminist perspective not only in everyday life but in social and political processes and phenomena more broadly. You will learn to identify and reflect on issues of gender inequality in your future disciplines and in academic sources.
|General Chemistry||Vámi Tamás Álmos||Természettudományok||Elmélyülés||2017-2018||Nyár||
This module is concerned with some general concepts and the Inorganic part of Chemistry. In this module we will cover the basic principles, like atomic and molecular structures, chemical bonds, acids and bases, symmetry principles and periodic trends in the Periodic Table of the Elements. We will have a detailed look at the elements, starting with the Hydrogen atom followed by the main group elements and in the end we will learn about the d and f block elements, too. This module is based on the book “Shriver & Atkins’ Inorganic Chemistry” written by P.W. Atkins who is an world-famous chemistry professor in Oxford, whose book is the a compensatory reading at Cambridge NatSci as well.
One aim of this module is also to prepare students for interviews at UK universities like Cambridge and Oxford, since the interview questions in Chemistry/Natural Sciences are frequently drawn from Inorganic Chemistry.
The main goal of this module is to obtain a basic understanding of the fundamental concepts in molecular biology. Conventional and novel methodologies used in laboratory research will be discussed based on their application in basic research and clinical setting. Basic aspects of targeted therapy and personalised medicine will be covered as well. Providing the students with a basic training in using common online resources in the field of molecular biology will be an important aspect of the workshop. Online tools such as Pubmed, and genome browsers including ENSEMBL and USCS will be presented and discussed. As the final session of the workshop, a site-visit to a molecular diagnostics laboratory in Budapest is planned.
The clash between globalized relations and nationalist imperatives is one of the main political fault lines of our times. As shown in Brexit in the UK, the victory of Donald Trump in the US, and the recent Macron v. Le Pen competition in France, this tension is emerging time and time again as countries choose between a philosophy featuring openness to the world on one hand, and nationalist leaders who argue for an inward turn, separation and a go-it-alone policy approach. This global fault line, along with the markers of modernization we imagine as characterizing our societies, are the product of the transnational relations shaping these expectations and realities that increasingly connect the local to the global. These expectations are the outcome of what has come to be called ‘globalization’ and the complex web of relations with social, economic and cultural implications supporting it.
This module will introduce you more deeply to the concept of globalization and to the relations that make it possible. It will focus especially on the environmental implications of a globalized world as both a driver and an effect of the phenomenon’s emergence. It will be especially useful for students interested in global environmental issues, human geography, development studies, or international relations.
|Historiography||Greskovits György||Művészetek és Bölcsészettudományok||Elmélyülés||2017-2018||Nyár||
How should history be written? How should history be read? History, the controlling discipline of all the social sciences and humanities, can be shaped in many different ways, and in this course we study critically eight of the main approaches, meanwhile asking ourselves: what are history’s proper methods? What is its epistemology? What do we think of Constructivism, the role of memory, the significance of Great Men, metaphysical schemes, periodisation? Each week we will read extracts from the great historians; in the final essay students will have to commit themselves to ideas of how the art and science history can (and cannot) be performed.
|Human Geography and Geopolitics||Balogh Péter||Társadalomtudományok||Elmélyülés||2017-2018||Nyár||
This course aims to give a broad overview over Human Geography in general, but focuses on Political Geography/Geopolitics in particular. The common concern for all are meanings of space and territory, i.e. the relation between mankind and her social and physical environment. Accordingly, the course will deal with various aspects of how humans shape and struggle over fundamental resources such as land and water.
Once a taboo word, Geopolitics has strongly regained significance, not least due to an increasingly populated and exploited planet. But why does the topic still generate so much controversy and debate? In what ways can Geopolitics at all be studied? How do Human Geographers study it, how do others? What ideas have underpinned geopolitical thinking in various times and places? What is the role of East Central Europe in all this?
The course is primarily targeted at prospective students of (Human) Geography, IR, Political Science, and other Social Sciences, but anyone is welcome!
|Introduction to Anglo-Saxon Philosophy I.||Novák Zsolt||Természettudományok||Elmélyülés||2017-2018||Nyár||
The module provides an overview of the main fields and the core problems of present-day Anglo-Saxon philosophy by discussing classical and more recent theories of knowledge, mind, reality, truth, meaning, rationality, freedom, responsibility, and moral norms. Apart from presenting an expansive cursory map of the discipline, the discussions also offer an introduction to the practice of philosophy, illuminating its relation to other knowledge forms such as common sense, religion, and science.
|Introduction to Economic Thinking||Vladimir Mikhailov||Társadalomtudományok||Elmélyülés||2017-2018||Nyár||
The module covers some basic concepts. You will not find out how to fix the mythical beast called “economy” (nobody knows how to), but you will learn why lower inflation means higher unemployment and why GDP might be a misleading measure of a country’s standard of living. We will start with some basic mathematical concepts to see how comfortable each student is with using mathematical formalism. We will then learn what it means to think using the 10 principles of economics before introducing the most basic economic model – the model of supply and demand. In the second part of the module we will cover the most important macroeconomic concepts is some depth. All the theory will be complemented with modern case studies for better visualisation of the issues.
The module is intended for students who are thinking about pursuing undergraduate studies in economics. Successful students will be able to transition to the Microeconomics module that will run in July. These two modules should prepare students for taking more advanced economics courses offered later in the year, as well as for university entry exams. To do this successfully, you should be prepared to work hard on solving the problem sets.
Economics as a discipline makes heavy use of mathematics. We will not use anything other than basic maths in this course, but anyone thinking about becoming an economist should be very comfortable with at least the level of mathematics taught in school. That said, many great economists have started out studying non-numerical subjects like philosophy or history, so it everyone is always welcome to try.
The course will be mostly based around Greg Mankiw’s “Principles of Economics” textbook. Successful students will be able to transition smoothly to first-year economics classes at the bachelor level.
|Introduction to International Relalations||Mráz Attila||Társadalomtudományok||Elmélyülés||2017-2018||Nyár||
This course aims, on the one hand, to provide students with a bird’s eye view onto the most important approaches in the interdisciplinary study of international relations. On the other hand, students are familiarised with some of the key topics in IR: war & peace, state vs. non- state actors, the diversity of non-state actors; self-interested vs. moral motivation; essentialism vs. constructivism in the methodology of IR. Readings partly consist of texts aimed at a non-specialist audience, and introduce theoretical issues through some of the most heated public political debates concerning—among other topics—refugees and migrants, terrorism and other forms of irregular warfare, the usefulness of humanitarian interventions and the limits of state sovereignty, and global inequalities in free trade.
|Introduction to LaTeX||Készségtárgyak||2017-2018||Nyár|
|Introduction to Linguistics||Baló Márton András||Természettudományok||Elmélyülés||2017-2018||Nyár||
The linguistics course aims to clarify the subject matter and the object of linguistics. Through the discovery of these fundamental problems students will separate it from other, non7 scholarly approaches to language, get an overview of the basic branches of linguistics, learn about the main theoretical frameworks, the current trends in linguistic theory and the relationship between language and society.
|Introduction to Politics||Mráz Attila||Társadalomtudományok||Elmélyülés||2017-2018||Nyár||
This course aims, on the one hand, to introduce students to some of the core issues of classical and contemporary normative political theory, and familiarise them with normative (moral) argumentation. On the other hand, students encounter some of the key topics in political theory: democratic theory, distributive justice, and the role of nation states in mainstream liberal egalitarian theory, and reflect on the potential limits or ideology-laden nature of such theorising. Readings partly consist of texts aimed at a non-specialist audience, and introduce theoretical issues through some of the most heated public political debates concerning— among other topics—refugees and migrants, universal healthcare, gay marriage, and the role of referenda in modern democracies.
|Introduction to Programming||Matematikai és Műszaki Tudományok||Orientáció||2017-2018||Nyár||
Introduction to programming aims to guide students through their first steps in solving problems using computers. The main emphasis is on showing that programming is nothing more (and nothing less) than a specific way of thinking, which requires decomposing problems into smaller problems and giving extremely well-defined instructions on how those smaller problems should be handled by the computer. Students will gain familiarity with the basic concepts found in most modern programming languages, like sequences, conditionals and functions, and will also learn about the cornerstones of computational thinking and problem solving, like creating abstractions or debugging.
The course is based on the accelerated introductory curriculum and teaching materials developed by Code.org , a non-profit organisation helping students learn to code. This programming course uses Blockly as the main programming environment, which was specifically designed for teaching purposes and provides an easy-to-understand and frictionless experience for everyone having basic skills in using computers. The assignments are based around mini-games and other visual tasks, thus solving problems provide a much more rewarding experience for students than using traditional text-based languages. This course contains almost 100 small tasks to help students internalise key concepts, and exceptional students will be given additional tasks to further master the ideas presented.
Learning programming, much like learning a new language, requires a fairly limited amount of factual information (a basic vocabulary) and lots of practice. For this reason I would encourage all students to spend their time on creating, rather than reading, and thus no further academic sources are provided in this description.
|Introduction to Social Anthropology||Zörgő Szilvia||Társadalomtudományok||Elmélyülés||2017-2018||Nyár||
Social anthropology is the study of cultures and sub-cultures existing in our present day; this discipline uses hands-on, empirical methods to map and understand all phenomena related to human life. The module will introduce you to basic concepts and subfields of anthropology, such as concepts of self, ritual and myth, kinship, and proxemics. You will be reading various articles and case studies to elaborate in-class material and expected to complete assignments involving reflections on readings and autonomous research.
Everything humans do, create, think, and feel is embedded in a cultural system; experience and meaning are culturally determined. The anthropological perspective you will gain during this course is valuable and useful no matter which social science you decide to pursue.
|Introduction to Sociology||Havas Ádám Kornél||Társadalomtudományok||Elmélyülés||2017-2018||Nyár||
The aim of the module is to introduce students to sociology and to encourage critical (and self- reflective) thinking about social issues through readings on social inequalities, citizenship, poverty, homelessness and the welfare state. Students are also expected to develop their reading skills concerning difficult theoretical texts. The course might be of special interest to those who are interested in undergraduate studies in sociology, social policy, social work, public policy, international studies or political science.
|IQ and Human Intelligence||Kovács Kristóf||Természettudományok||Orientáció||2017-2018||Nyár||
Why do people differ in their cognitive abilities? Is there a general intelligence that permeates all human intellectual activity? Or is it more reasonable to postulate specific kinds of talent? Is IQ heritable, or is it mostly dependent on our upbringing? Are there differences in the intellectual abilities of males and females? The course provides answers to these questions. The lecture on heritability also introduces students to the basic concepts of behavior genetics. Intelligence is one of the most controversial fields of psychology, because it taps on issues of high societal and even political importance. Hence the course is recommended not only to students who wish to study psychology, but also to everyone interested in broader issues related
|Law and Morality||Lucie Atkins||Művészetek és Bölcsészettudományok||Elmélyülés||2017-2018||Nyár||
Would you sue a family member if he stole your valuables? Can parents refuse to have their child vaccinated? Can a person be charged with murder due to his ignorance? We will explore these and similar question mainly through discussion of the legality of the actions involved and situations existing in short scenarios designed to spark our discussions. Sometimes, you may be assigned the role of an advocate for a particular party. Other times, you will represent a neutral judge or policy maker. Every student will have the space to express his or her position on these broader legal and moral issues.
|Linguistic Problem Solving||Kálmán László||Természettudományok||Elmélyülés||2017-2018||Ősz||
This module aims at introducing the essentials of linguistic structure through the discovery of regularities in actual data from various languages. In the first part of the module, students will solve actual puzzles, i.e., problems that can be settled solely on the basis of a carefully selected array of data. In the second part, they will have to gather and evaluate data themselves, and extract regularities from them. The aim is to cover the most basic types of problem that arise in connection with the phonology, morphology, syntax and semantics of human languages without introducing heavy theoretical machinery.
Although some of the problems can be seen as purely logical puzzles, since their medium is always the structure of some natural language, each problem illuminates some peculiarity that some human languages exhibit. Students will gain insights into how human languages are similar to and different from each other, and what devices they may use. At the same time, they will practice the essential methodology of gathering and assessing linguistic data.
This module is very useful, although not essential, for pursuing studies in linguistics later on. In addition, anyone interested in developing their logical and argumentative skills or interested in the world’s languages will benefit from taking it.
|Machine Learning||Kornai András||Matematikai és Műszaki Tudományok||Specializáció||2017-2018||Nyár||
Algorithms based on ML techniques now pervade every walk of life, from personal assistants (Siri, Alexa, Google Now) to recommendation systems (Netflix, Facebook, Amazon), and a newer, more ambitious set of algorithms that will automate driving, medical diagnosis, and even teaching, is already in the works. The course will introduce the most important techniques and model classes, with particular emphasis on natural language processing. Student projects can be theoretical, demonstrating an understanding of the statistical issues, or practical, demonstrating programming skills. Early formation of teams composed of students with complementary skills is encouraged.
|MAT Preperation Module||Készségtárgyak||2017-2018||Nyár|
|Mathematics for Economics||Galicza Pál||Társadalomtudományok||Elmélyülés||2017-2018||Nyár||
Over the years, mathematics has become an inevitable tool in every branch of economics (macro, micro and econometrics). Most research work in economics involves the use of mathematical or statistical models to simplify a real-world problem and policy recommendations are often based on the intuition from the models’ predictions. This has made a knowledge of mathematics essential for a career in economics.
This module presents a gentle introduction to the applications of mathematics in economic analysis. The aim is to equip students with the knowledge that will help them excel in the mathematics part of an interview into top Bachelor programs in economics, as well as to cope with the demands of their undergraduate coursework. The module will cover basic topics that are useful in economics and the problem sets will be based on the applications of mathematics to simple economic problems.
|Mechanics||Farkas Márton||Matematikai és Műszaki Tudományok||Elmélyülés||2017-2018||Nyár||
Mechanics is a fundamental building block of other more complex engineering and physics courses. The aim of this course is to cover mechanics in a mathematically more formal way to bring the students closer to the level required at university. A characteristic feature of mechanics is that there are few general principles, but a very wide range of problems to which these may be applied. As a consequence, plenty of problems are integrated into the syllabus and understanding will be checked with example sheets.
The course begins by revisiting Newton’s laws and conservation laws. It goes on to present the usage of elementary analysis in kinematics. After covering the general principles, we will use these in particle dynamics, rotation mechanics, static equilibrium and in other miscellaneous mechanical topics.
The module will build on an online microeconomics course of the University of Illinois as its main resource, next to a textbook. Of this course we plan to use the resources that are the most appropriate for our purposes – that is the online recorded lectures. Quizzes, group discussions of this course can be ignored by Milestone students. Instead, the seminars at Milestone will serve as the venue of real discussions and participative understanding of the material covered. For each week the home assignment will consist of watching the Illinois videos paired with a problem set uploaded to Moodle before the week. These problems will not only test students’ knowledge on the material explained in the videos, but will also enhance understanding by making students put what they learned into practice. At the seminar we will have an open and inclusive discussion of the lecture’s topics as well as we will review to solutions and implications of the assigned problems. Students will be expected to take part in the discussions and in jointly solving problems during the class.
|Music and the Moving Image||Bolgár Dániel||Művészetek és Bölcsészettudományok||Orientáció||2017-2018||Nyár||
This introduction to film music course aims to introduce students to the often-overlooked aspect of the cinematic experience, namely on the accompanying music. Our seminars will consist of viewing famous film segments listening closely to the underlying soundtrack. We will discuss and analyse music from famous American and European movies in order to familiarize ourselves with the techniques of film composers such as John Williams, Hans Zimmer, Alexandre Desplat, Ennio Morricone, Max Steiner, Bernard Hermann and so on. We will also look at compilation music prepared by directors who took matters into their own hands (Woody Allen, Quentin Tarantino, Stanley Kubrick, Charlie Chaplin just to name a few). We will try to find answers to the questions of how music best serves film and how it can affect our emotions. This module will develop a better understanding of cinema and music, alongside
|Natural Science Skills||Horváth Klára||Készségtárgyak||2017-2018||Nyár|
|Painting – Materials and Methods||Kroó Anita||Művészetek és Bölcsészettudományok||Orientáció||2017-2018||Nyár||
This painting course offers students in-depth study of specific concepts and processes, nurturing the development and articulation of individual constructs and creative expression.
During the course we are going to explore various methods and materials such as ink, watercolor, acrylics, direct painting, and monotype printmaking. Investigations include handling of materials and techniques, including expanding the boundaries of their physical properties. Color mixing, composition, shape and form will be areas of concern inherent in every painting project. Students will also explore visual structures and concepts in historical and contemporary contexts. The course will also include at least one or more fieldtrips to a museum or gallery. During these trips we will visit contemporary art exhibits, and interact with professional artists, curators/gallery directors. Whether as a career path or a means to advance one’s own visual arts practice, students will be introduced to the practical concerns of working as an artist or independent curator.
|Physics and Engineering Pre-Interview Test Prep (PAT/Cambridge)||Farkas Márton||Matematikai és Műszaki Tudományok||Specializáció||2017-2018||Nyár|
|Physiology 1||Nha Le||Természettudományok||Elmélyülés||2017-2018||Nyár||
The aim of this module is to give a more advanced knowledge of the cellular physiology. The term physiology originated from the ancient Greek, and it means “nature, origin”. The discipline is a branch of biology dealing with the functions and vital processes of living organisms or their parts and organs. Furthermore, the subject itself gives answers to many aspects within a functional scope, rather than a structural approach. Throughout the module, basic knowledge of cellular structures will be reviewed briefly so that students will be able to build up their own physiological information. Half of the module will deal with cellular physiology. Then, homeostasis will be discussed, specifically acid-base homeostasis. Last but not least, thermo-regulation will make for an interesting final chapter. On successful completion of the module students will generally have perfected their ability to understand the different between cellular physiology and cellular biology, as well as how acids and bases are balanced within an organism, and how a living body can regulate its own temperature in spite of external changes.
|Play and Performance||Művészetek és Bölcsészettudományok||Orientáció||2017-2018||Ősz||
This slightly unconventional Sophomore theatre module will aim to chart and survey different aspects of the performing arts while looking at various performing techniques through the observation of classical and contemporary plays, from Shakespeare to Brecht and touching on Commedia dell’Arte as the basis for improvisation in theatre as we know it. During this exploration, students will gain a stronger understanding of the performing arts from a practical and technical point of view and hopefully will learn to use them in their everyday lives and in stressful situations related to exams or presentations. The module is based on drama workshop methods and is particularly suitable for students interested in theatre film, performing arts and humanities, and will develop skills, as well as build confidence in all communication situations, using voice, body language, gestures and eye contact.
The module will aim to give an introduction to the disciplines of economics and anthropology through the topics of poverty and inequality. After reviewing the basic conceptual background the module will take as its point of departure the natural evolution of inequality within societies. Two theories by Kuznets and Piketty will be contrasted in assessing what forces act to increase or decrease the income gap. Later the notion of class is going to be introduced; by focusing on the means of elite groups to foster or hamper social mobility, with particular emphasis on the welfare state. Finally poverty is going to approached from the perspective of globalisation examining how incomes and inequality change as a result both in high and lower income countries. It is at this last part where the applied methods will shift more towards anthropology, with various ethnographies and the idea of “culture of poverty” being discussed. Overall the module will provide an opportunity for students to familiarise themselves with a wide range of social scientific methods – from various statistics through economic modelling and regression analysis to ethnography – and see how all of these are employed simultaneously to back often contradicting narratives in political debates on poverty.
|Primary Sources||Művészetek és Bölcsészettudományok||Elmélyülés||2017-2018||Ősz||
The module will offer a comprehensive study of “primary sources” – documents, images or artefacts that provide first-hand evidence or “inside” attestation about an historical subject. These testimonies represent the essential tool of reading and study of the past. During the module, the students will learn how to identify and find a variety of available primary accounts (heuristic). They will also learn how to critically survey these accounts and how to distinguish them from the “secondary” sources that reflect various uses and interpretations developed over time (hermeneutics). As a part of their practical course experience, the students will have an opportunity to closely view and analyse various types of primary sources, among which ancient inscriptions and archaeological remains, medieval charters and narratives, early modern letters, and recent state official records. Special attention will be given to audio-visual resources and modern media (film, music, online, social media) and their place in collecting and interpreting the primary historical accounts. The course is essential for students of history and other related branches/interdisciplinary surveys of the humanities and social sciences.
|Probability||Dinnyés Enikő||Matematikai és Műszaki Tudományok||Elmélyülés||2017-2018||Nyár||
The module covers major topics of probability theory and statistics. We will introduce theoretical concepts through simple experiments and games, before moving on to some important probability distributions: what kind of distribution shall we use for the lifetime of light bulbs, or for the number of mistyping errors on the pages of a newspaper, etc; how can we describe a probability distribution: a density function versus characteristic function; the law of large numbers in a mathematical formulation; the central limit theorem 7; or why the Gaussian (Normal) distribution is special. These concepts are used in financial mathematics, and they form the basis of statistics, thus providing tools for appraising the world around us, in the form of estimates, hypothesis testing, correlations, and regressions. These techniques are used in the social sciences as well. We are going to use calculus on a basic level only, but mathematical thinking is important. The course will show the theoretical background as well as the practice of statistics. It is an introductory course to a branch of applied mathematics. (In Cambridge, it is called “applicable maths”, and it falls under the group of pure maths subjects.)
|Robotics Lab 1||Kiss Ádám||Matematikai és Műszaki Tudományok||Orientáció||2017-2018||Nyár||
Technology surrounds us, yet we seldom think about how a particular device operates or how much work and knowledge are necessary to design it. This is especially true for programmable electronic devices. With the ever increasing integration of microcontrollers into our lives, the basics of programming basics are also taught in high schools. Yet IT and computer science classes are strongly biased towards high level programming languages, despite the fact that many large scale engineering challenges require the close integration of hardware and low-level software. The main focus of this course is to provide the most basic tools and know-how for building electrically actuated machines.
The attendees will be familiarise themselves with the basics of Arduino programming and the very basics of sensor electronics. The curriculum is designed to put more emphasis on the how-to and basic concepts of hardware-near programming. The main objective is to provide the necessary theoretical and practical groundworks for more advanced modules in the Autumn Term.
As Carl Sagan put it: “Any sufficiently advanced technology is indistinguishable from magic”. This leaves no other choice, but to become wizards ourselves.
|SAT Module II. – Preparations||Készségtárgyak||2017-2018||Nyár|