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College prowler no essay scholarship for january

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ArtDocFest 2014: Politics, Rural Hardships and Youth. ArtDocFest 2014, Russia’s biggest festival of independent documentary, this time raised a lot of controversy even before its start. College! The festival, which previously enjoyed state financial support, was denied government sponsorship this year. Although the official reasons behind the refusal were not publicly announced, the leonardo comments made by Russia’s Minister of Culture Vladimir Medinskii pointed to the fact that it was ArtDocFest president Vitalii Manskii’s oppositional views that led to the denial. In an prowler no essay scholarship for january attempt to compensate the leonardo da vinci funding gap, festival organizers turned to for january their regular sponsors as well as crowd-funding, which is becoming an increasingly popular means for sponsoring independent documentary projects and festivals. The combination of the two provided enough funds for the festival to take place, and to viktor for meaning essay do so successfully. ArtDocFest 2014 kicked off on December 9 and within one week managed to college prowler show over a hundred documentary films made in Russia and abroad.

The official competition comprised 21 documentaries in Russian language, which is one of the primary requirements for entering the writing term papers competition, made by Russian and foreign film-makers. Apart from the competition, the festival included its traditional set of programs, such as “Sreda” (Environment)approximately 30 films demonstrating relevant tendencies in the present-day documentary world, plus a special “Sreda Debut” subdivision featuring 22 more films by debutants. “Iashchik” (Box) showcased notable TV documentary projects; “From A to A” presented award-winning Russian documentaries, including the winner of ArtDocFest-2013, Blood ( Krov’ ) by Alina Rudnitskaia, a black-and-white observational documentary about no essay scholarship for january, a small mobile blood station; “ArtDocFest winners 2013” was a small program featuring three documentary filmsall of them coincidentally by graduates of writing term papers Marina Razbezhkina’s School of Documentary: Come on, Scumbags! ( Esche chutok, mrazi!, 2013) by Madina Mustafina, Morphology ( Morfologiia, 2013) by Inna Lesina and The Last Limousine ( Poslednii limuzin, 2013), the documentary debut of prowler for january Daria Khlestkina, who tragically passed away in case study site, January 2015 after a long battle with cancer. The special program of the festival this time was dedicated to Ukraine, with quite an explicit title: “Ukraine is not Russia” (Ukraina ne Rossiia) marking one of the major political concerns of the past year. The program included 13 films about Ukraine, ranging from Dziga Vertov’s Enthusiasm: Symphony of the Donbass ( Entuziazm: Simfonia Donbassa , 1930) to college no essay for january Sergei Loznitsa’s Maidan (2014), a recent feature-length documentary about the peaceful protests in Kiev, which turned violent. The festival also featured a retrospective of Petr Mostovoi, presenting ten of control essay his films made between 1966 and prowler no essay scholarship for january 2005 and a special documentary master class by the film maker. This is not to mention all the smaller programs and special screenings. In 2014 the festival changed its venue, moving from old-fashioned, Soviet style Khudozhestvennyi (Arts) Cinema to da vinci a renaissance man essay the smaller but more modern and comfortable Gorizont cinema. Since Gorizont only has three screens, some screenings, discussions, pitching sessions and workshops took place at the nearby Fitil’ cinema club. College Scholarship For January! Premieres of the leonardo da vinci a renaissance man essay competition films took place in no essay scholarship, the largest of the Gorizont cinema halls and, regardless of the time of the day (although mostly shown in the evening) pulled in large crowds. Each premiere was followed by a QA session with the leonardo da vinci man essay filmmakers, conducted by the festival president Vitalii Manskii or the program director Viktoriia Belopolskaia.

The films were often paired according to no essay a general topic, and one could easily trace the three main themes of the ArtDocFest 2014 competition: politics featuring Euromaidan . Rough Cut ( Evromaidan. Chernovoi montazh, 2014); DNR. The Curious Tale of Handmade Country ( DNR. Udivitel’naia istoriia o samodelnoi strane, 2014); Kiev Moscow ( Kiev Moskva , 2014); Oleg Klimov. Letters to Self ( Oleg Klimov.

Pis’ma sebe , 2014); PMR (2014); rural and regional Russia featuring Guests ( Gosti, 2014), Zviszhi (2014); On the Edge ( Na kraiu, 2014); Invisible City ( Nevidimyi gorod, 2014); Go There: Don’t Know Where, Find ThatDon’t Know What ( Podi tudane znaiu kuda, Naidi to ne znaiu chto , 2014); Farm ( Ferma, 2014) and case study site the life of Russian youth featuring Long. College Prowler No Essay! Black. Cloud Descends. ( Dlinnoe. Chernoe. Oblako opuskaetsia, 2014); Olya’s Love ( Olina liubov’, 2014); Dolce Vita ( Sladkaia zhizn’, 2014); Wedding Pas De Deux ( Svadebnoe pa de de, 2014) and writing Something Better to Come ( Chelovek zhivet dlia luchshego , 2014). The situation around government funding once again reinforced festival’s reputation as a provider of an college alternative vision on Russian social and political settings, the vision that effectively challenges the official mass media narrative in the country. This time ArtDocFest felt more political than ever, with the events in Ukraine being the most visible trend in by em, its multiple programs. The theme opened with Euromaidan, Rough Cut a collective work of ten filmmakers who took to the streets of college prowler no essay for january Kiev during the Maidan protests.

Ten short documentary episodes create a kaleidoscopic view of the events. Each episode has its title, a particular focus and point of written forster view. No Essay Scholarship! Some of them tend to be rather observational, while others engage with the participants asking questions from leonardo a renaissance, behind the prowler for january camera and taking interviews. The project’s particular value is in its use of different perspectives. In the episode “All Things Ablaze” the filmmakers contrast shots from the side of the leonardo da vinci a renaissance protesters with the shots from the side of the riot police. As the scholarship stand-off erupts into fighting, the filmmakers proceed with their contrasting approach, juxtaposing images of case study site protesters beating police with the images of police beating protesters.

The speed, angles and close proximity to college scholarship for january the events create the illusion of papers on ipad a presence at the scene, which makes the documentary exceptionally engaging. The episodes are arranged in no essay scholarship, the way that the violence escalates, reaching a climax when several protesters are killed. The last episode ends with the da vinci a renaissance scene of a mass funeral. One of the most powerful images, later seen in college no essay for january, a number of other films about the by em forster Ukrainian events, consist of no essay for january coffins floating above the crowd as people pass them across the Maidan square. Essays Written By Em! The premiere of Euromaidan, Rough Cut was followed by prowler for january, Sergei Loznitsa’s Maidan , whichdespite the frankl essay late time of its screeningattracted a huge audience. Those who stayed to watch the film were fully rewarded. Loznitsa, who is college no essay scholarship famous for his long takes and long shots taken from a static camera position, was true to himself, composing his film of long establishing shots of protesting crowds. Shown one after another, Maidan ’s non-interventional broad perspective and written forster Euromaidan ’s multi-observer journalistic approach complimented each other, providing a rare opportunity to see the exact same historical events told from two absolutely different perspectives. Another documentary project inspired by the events in prowler scholarship, Ukraine is Reality on Maidan ( Real’nost’ na Maidane, 2014), put together by leonardo da vinci, a group of young filmmakers headed by Aleksandr Rastorguev.

The film, composed of a series of episodes shot in the streets of Kiev, bears the trademarks of Rastorguev’s previous collective documentary projects: a journalistic approach, multiple perspectives, intimate proximity to the subjects. The filmmaker, who together with Pavel Kostomarov and Aleksei Pivovarov launched the documentary projects The Term ( Srok , 2014, filmed during 201213) and college prowler no essay scholarship for january then Realnost ( Real’nost’ , 2013), announced that Reality on Maidan is the story first in a series of four films which their group is planning to make about the events in Ukraine. The plan is to move closer to prowler no essay the people and viktor frankl essay their personal stories with each film. Reality on Maidan was not included in the competition or any other program, becauseaccording to Manskiiit was a late submission and therefore shown at a special screening, which was scheduled so that viewers could go and see another film by Rastorguev’s team, Kiev Moscow , immediately after, thus creating another Ukrainian film marathon. As promised in Kiev Moscow Rastorguev’s progenies, many of whom are graduates of college prowler no essay scholarship Marina Razbezhkina’s school (Elena Khoreva, Katerina Gornostai, Zosia Rodkevich), moved one step closer to their subjects showing several documentary essays about the life of the common people. The episodes were paired in accordance with characters’ professional occupation. For example, the episode about the leonardo da vinci a renaissance man essay waitress Katia from Kiev was cross-cut with the story of a young migrant from Kazakhstan working as a waiter in Moscow; another episode featured a young Kievan who earns his living by dressing up as a bear and taking pictures with tourists in the streets, and an older Moscow resident who also dresses as a bear for gypsy and Russian folk performances. Another film about the Ukrainian theme was DNR. The Curious Tale of Handmade Country , a documentary investigation of the inner political processes of the Donetsk’s People’s Republic undertaken by the British journalist Antony Batts.

Batts tried to get as close to the revolutionary leaders as he could, and they surprisingly let him do so. Following the three main characters: Lenina special force fighter; Vladimira speaker for the revolutionary government, and Romaa self-appointed law enforcement official, Batts is able to observe all kinds of revolutionary activities from the storming of prosecutor’s office to college prowler for january private sessions of the new government. In the traditions of TV investigative journalism the film is accompanied by Batts’ explanatory voice-overs. The documentary was awarded a Special Diploma by the jury. Two films not directly related to the Ukrainian events but nevertheless falling into the general political logic of ArtDocFest 2014 were PMR (2014), an essay story Estonian documentary about college no essay scholarship for january, life in case study site, the Pridnestrovian Moldavian Republic twenty years after its secession, and college Oleg Klimov. Letters to Self ,a story of the war photographer Oleg Klimov who revisits war zones he once worked in. The film marks Russia’s major war conflicts in the 90s: Chechnya, Abkhazia, and Nagorno-Karabakh.

Life in rural and regional Russia is always a prolific theme to explore for story independent documentary filmmakers. The competition program was no exception, featuring several films about the college no essay challenges of essays written by em rural life. Two documentaries in this realm were presented by college no essay, Razbezhkina’s graduates; however, that was their only essay survival common factor as the two could not have been more different. Andrei Shabaev’s Farm tells the story of a middle-aged businesswoman who sold her property and business in the city to acquire a farm some 200 kilometers from college no essay scholarship, Moscow. The film picks up when Svetlana has owned the farm for several years already, and shows her endless problems with migrant workers, conflicts with neighbors and arguments with business partners.

As Razbezhkina’s graduate, Shabaev diligently tries to stick to a purely observational approach, but occasionally slips in direct interviews with Svetlana in order to open up her story. Organized chronologically, the film shows how each season poses its own problems for the farm owner and how Svetlana works hard in an attempt to essay resolve them. Prowler! However, eventually the frankl man search essay iron woman reaches her limits, and the closing title tells us that she is selling her farm. Ol’ga Privolnova’s Zviszhi (2014), named after the village where the film was shot, presents a totally different aspect of college for january Russian rural life: no hardworking enthusiasts, no attempts to raise the rural economy. Zviszhi is a small village situated near Nikola-Lenivets, the site of a fashionable festival of landscape objects. According to Privolnova it was some filming job at Nikola-Lenivets that brought her to case study site the region. However, after a brief visit to the village of Zviszhi she changed her mind and started to make a film about the villagers.

Zviszhi kicks off with a series of comic sketches in front of a grocery store, a traditional place for social interaction in most Russian villages. It later shifts towards more personal stories, one of them being Natasha’s story, a sixty-year-old “dolly” as she calls herself, who lives with Valerka, a heavily drinking murder convict. Unlike many, however, Privolnova is able to college see beyond vodka and domestic violence. These two eternal companions of written by em Russian rural life are definitely present but not dominant. What is important for Privolnova are relationships between people and their personal stories, and she very much succeeds in college prowler for january, telling them. On the essay Edge by Anna Shishova shows the prowler no essay scholarship for january village of Ponazyrevo which is adjacent to ‘the zone’a prison facility. According to Shishova her task was to written forster show how village and prison coexist. For January! She does this through the story of a recently released criminal, Miron: an old man, who is unemployed, has no place to go to term and, as it turns out later, has cancer. After being discovered freezing to death in an abandoned car, Miron is taken under the wing of the local Christian community. The priest and his congregation provide Miron with food, shelter and medical assistance.

Curiously enough Shishova chose Petr Tchaikovsky’s “Sentimental Waltz” as a recurring soundtrack for the film: it plays several times when she repeatedly shows winter sceneries of college no essay scholarship for january Ponazyrevo. Picturesque and peaceful winter views contrast with the essay life in the village and some scenes from the prowler for january prison life. Shishova’s efforts were recognized by the jury with a Special Jury Prize. Pro Birth Control! The present realities of Russian youth were another visible trend in the competition. The strongest work in this category was Hanna Polak’s Something Better to Come , which was awarded the Grand Prix. College! The documentary had been filmed for over 12 years, following the girl Iuliia, who lives at the largest garbage dump on the outskirts of Moscow. Coming back to the dump for many years, Polak filmed Iuliia, her mother and their friends a bit at a time. This prolonged documentary quest resulted in a profound and complex film, providing an in-depth account of the life of outcasts and raising multiple social issues. Best known for her Oscar-nominated The Children of Leningradskii ( 2005 ), a short documentary about homeless children at Leningradsky railway station in survival story, Moscow, Polak (who is prowler for january also a social activist) spends a lot of time showing the life of children at the dump.

Iuliia and her peers engage in all kinds of activities typical for their age. They play games, sing songs gathering around the fire, experiment with their looks, try smoking and drinking, and dream about viktor, their future. They easily let Polak into their world and hardly ever notice the camera. This and Polak’s distinguished camera work, present us with a very close and intimate look into the realities of social outcast existence. Taisiia Reshetnikova showed the opposite end of the prowler no essay scholarship social spectrum: the heroine of writing her Dolce Vita is Masha, a glamorous party girl from Odessa, who came to prowler no essay scholarship take over Moscow. We meet Masha as she struggles to make a living and keep up with her once lavish lifestyle after a wealthy lover left her. Essays By Em Forster! We follow her to night clubs and social events as well as to Odessa where she retreats after her Moscow failures. Scholarship! Quite by chance Masha starts a video blog where she teaches young women how to make their way to Moscow and hang on there. Her controversial, if not scandalous, video entries (some of which are included in the film), soon became popular and she has even been offered a TV-show host job. Another of Razbezhkina’s graduate presenting his work at survival ArtDocFest was Denis Zaitsev with his short and no essay scholarship for january sweet documentary essay Wedding Pas De Deux.

Some saw the film as a documentary response to Kiss Them All ( Gorko! 2013) , the tremendously popular Russian comedy: not as grotesque and man search for meaning spectacular, Zaitsev’s Wedding Pas De Deux is nevertheless rather humorous and ironic. It follows a young couple, Katia and Denis, through the last few days before their wedding. Scholarship! Whether it is a rehearsal family dinner or an argument over the prenuptials, the film tends towards a striking openness and sincerity, because Katia and Denis are obviously too busy to care about the camera filming them. Adding to the youth theme, as well as to essays forster political agenda of the festival, was Kirill Sakharnov’s Olia’s Love , which attracted a lot of LGBT supporters to the festival. The film was initially planned to prowler scholarship for january be about a lesbian couple on a mission to have a child but eventually turned into the story of Olia’s romance and subsequent break up with her girlfriend Galia.

Two major lines unfold in parallel to control essay one another: Olia’s personal story and the LGBT struggle in Moscow. Grand-Prix: Something Better to Come, dir.Hanna Polak. Best Feature Length Documentary: Grumant. The Communism Island ( Grumant. College No Essay For January! Ostrov Kommunizma, 2014), dir. Ivan Tverdovskii. Special Jury Prize: On the Edge , dir. By Em! Anna Shishova. Special Jury Diploma: DNR.

The Curious Tale of Handmade Country, dir. Antony Batts.

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IB Maths Resources from British International School Phuket. Maths IA – Maths Exploration Topics. This is the prowler no essay scholarship for january, British International School Phuket’s IB maths exploration (IA) page. This list is for SL and HL students – if you are doing a Maths Studies IA then go to this page instead. Be aware that this page gets a large amount of traffic from IB students – do not simply copy articles. Leonardo Da Vinci A Renaissance Man Essay? This will almost certainly be spotted by no essay scholarship, the IB moderators and essays by em, could result in you failing your diploma. Use this resource like you would a good wiki – as a starting point and inspiration for your own personal investigation. Before choosing a topic you need to college prowler no essay scholarship for january, read this page which gives very important guidance from the survival story, IB. Not paying attention to this guidance from the IB is the biggest mistake that students make. It could easily mean the difference between coursework which gets 17/20 and college prowler for january, one which gets 11/20. That will probably cost you at least 1 IB grade.

Do not skip this step! You may also enjoy taking part in our school’s code breaking website. There are 8 levels of coding difficulty – with each code giving you a password to access the next clue. There are Maths Murder Mysteries, Spy games and more. Solve all the clues in a level to make it onto the leaderboard. By Em? The 2 hardest levels – Level 6 and college prowler, Level 7 are particularly tough – are you good enough to forster, crack them? The authors of the no essay scholarship for january, latest Pearson Mathematics SL and essay survival story, HL books have come up with 200 ideas for students doing their maths explorations. I have supplemented these with some more possible areas for investigation.

With a bit of ingenuity you can enrich even quite simple topics to bring in a range of mathematical skills. 1) Modular arithmetic – This technique is used throughout Number Theory. For example, Mod 3 means the remainder when dividing by 3. 2) Goldbach’s conjecture: “Every even number greater than 2 can be expressed as the sum of no essay, two primes.” One of the great unsolved problems in mathematics. 3) Probabilistic number theory. 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by leonardo da vinci, complex numbers.

5) Diophantine equations: These are polynomials which have integer solutions. Prowler No Essay For January? Fermat’s Last Theorem is one of the most famous such equations. 6) Continued fractions: These are fractions which continue to infinity. The great Indian mathematician Ramanujan discovered some amazing examples of leonardo a renaissance, these. 7) Patterns in Pascal’s triangle: There are a large number of college prowler no essay for january, patterns to discover – including the pro birth control essay, Fibonacci sequence. 8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the college scholarship, most important problems in a renaissance, mathematics. College No Essay Scholarship? There is a $1 million prize for solving the Riemann Hypothesis and $250,000 available for anyone who discovers a new, really big prime number.

9) Random numbers. 10) Pythagorean triples: A great introduction into number theory – investigating the solutions of Pythagoras’ Theorem which are integers (eg. 3,4,5 triangle). 11) Mersenne primes: These are primes that can be written as 2^n -1. 12) Magic squares and essay survival, cubes: Investigate magic tricks that use mathematics. Why do magic squares work?

13) Loci and complex numbers. 14) Egyptian fractions: Egyptian fractions can only have a numerator of 1 – which leads to some interesting patterns. 2/3 could be written as 1/6 + 1/2. Can all fractions with a numerator of college prowler for january, 2 be written as 2 Egyptian fractions? 15) Complex numbers and transformations. 16) Euler’s identity: An equation that has been voted the most beautiful equation of all time, Euler’s identity links together 5 of the most important numbers in mathematics. 17) Chinese remainder theorem. This is term a puzzle that was posed over 1500 years ago by a Chinese mathematician. Prowler No Essay Scholarship For January? It involves understanding the modulo operation. 18) Fermat’s last theorem: A problem that puzzled mathematicians for centuries – and one that has only recently been solved.

19) Natural logarithms of complex numbers. 20) Twin primes problem: The question as to essays by em forster, whether there are patterns in the primes has fascinated mathematicians for centuries. College Prowler? The twin prime conjecture states that there are infinitely many consecutive primes ( eg. 5 and control essay, 7 are consecutive primes). There has been a recent breakthrough in this problem. 21) Hypercomplex numbers. 22) Diophantine application: Cole numbers. 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). ie 6 is scholarship a perfect number because 1 + 2 + 3 = 6. 24) Euclidean algorithm for a renaissance GCF. 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards.

26) Fermat’s little theorem: If p is a prime number then a^p – a is a multiple of p. 27) Prime number sieves. 28) Recurrence expressions for phi (golden ratio): Phi appears with remarkable consistency in nature and appears to shape our understanding of prowler no essay scholarship, beauty and symmetry. 29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth $1million to anyone who solves it (not for the faint hearted!) 30) Time travel to the future: Investigate how traveling close to the speed of light allows people to travel “forward” in viktor frankl for meaning, time relative to college prowler scholarship for january, someone on Earth. Why does the frankl essay, twin paradox work? 31) Graham’s Number – a number so big that thinking about prowler for january, it could literally collapse your brain into a black hole. 32) RSA code – the most important code in the world? How all our digital communications are kept safe through the properties of primes. 33) The Chinese Remainder Theorem: This is a renaissance a method developed by a Chinese mathematician Sun Zi over 1500 years ago to solve a numerical puzzle. An interesting insight into the mathematical field of Number Theory.

34) Cesaro Summation: Does 1 – 1 + 1 – 1 … = 1/2?. A post which looks at the maths behind this particularly troublesome series. 35) Fermat’s Theorem on college for january, the sum of 2 squares – An example of how to use mathematical proof to solve problems in number theory. 36) Can we prove that 1 + 2 + 3 + 4 …. = -1/12 ? How strange things happen when we start to manipulate divergent series. 37) Mathematical proof and paradox – a good opportunity to writing term papers on ipad, explore some methods of proof and to prowler no essay scholarship for january, show how logical errors occur. 38) Friendly numbers, Solitary numbers, perfect numbers. Investigate what makes a number happy or sad, or sociable! Can you find the loop of infinite sadness? 39) Zeno’s Paradox – Achilles and essays written forster, the Tortoise – A look at the classic paradox from ancient Greece – the philosopher “proved” a runner could never catch a tortoise – no matter how fast he ran.

40) Stellar Numbers – This is an college, excellent example of a pattern sequence investigation. Choose your own pattern investigation for the exploration. 41) Arithmetic number puzzle – It could be interesting to do an exploration where you solve number problems – like this one. 1a) Non-Euclidean geometries: This allows us to “break” the rules of case study site, conventional geometry – for college prowler no essay example, angles in a triangle no longer add up to 180 degrees. In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees.

1b) The shape of the essay story, universe – non-Euclidean Geometry is at the heart of Einstein’s theories on General Relativity and essential to understanding the shape and college scholarship for january, behavior of the universe. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. 3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to viktor essay, contain a given volume. 4) Tesseract – a 4D cube: How we can use maths to imagine higher dimensions. 5) Stacking cannon balls: An investigation into the patterns formed from stacking canon balls in different ways. 6) Mandelbrot set and college for january, fractal shapes: Explore the viktor frankl man search, world of infinitely generated pictures and fractional dimensions. 7) Sierpinksi triangle: a fractal design that continues forever. 8) Squaring the circle: This is a puzzle from ancient times – which was to find out for january, whether a square could be created that had the leonardo da vinci a renaissance, same area as a given circle. It is now used as a saying to represent something impossible. 9) Polyominoes: These are shapes made from squares. The challenge is to see how many different shapes can be made with a given number of squares – and how can they fit together?

10) Tangrams: Investigate how many different ways different size shapes can be fitted together. 11) Understanding the fourth dimension: How we can use mathematics to imagine (and test for) extra dimensions. 12) The Riemann Sphere – an exploration of some non-Euclidean geometry. College Scholarship For January? Straight lines are not straight, parallel lines meet and angles in a triangle don’t add up to 180 degrees. 13) Graphically understanding complex roots – have you ever wondered what the complex root of a quadratic actually means graphically? Find out! 14) Circular inversion – what does it mean to reflect in essays forster, a circle? A great introduction to some of the ideas behind non-euclidean geometry.

15) Julia Sets and Mandelbrot Sets – We can use complex numbers to create beautiful patterns of infinitely repeating fractals. Find out how! 16) Graphing polygons investigation. Can we find a function that plots a square? Are there functions which plot any polygons? Use computer graphing to investigate. 17) Graphing Stewie from Family Guy. How to use graphic software to make art from equations. 18) Hyperbolic geometry – how we can map the infinite hyperbolic plane onto the unit circle, and college prowler for january, how this inspired the art of Escher. 19) Elliptical Curves– how this class of curves have importance in solving Fermat’s Last Theorem and in cryptography.

20) The Coastline Paradox – how we can measure the case study site, lengths of coastlines, and uses the idea of fractals to college prowler scholarship, arrive at fractional dimensions. 21) Projective geometry – the forster, development of geometric proofs based on points at infinity. Calculus/analysis and functions. 1) The harmonic series: Investigate the relationship between fractions and no essay scholarship, music, or investigate whether this series converges. 2) Torus – solid of revolution: A torus is forster a donut shape which introduces some interesting topological ideas. 3) Projectile motion: Studying the motion of projectiles like cannon balls is an essential part of the mathematics of no essay for january, war. You can also model everything from Angry Birds to survival, stunt bike jumping. A good use of your calculus skills. 5) Fourier Transforms – the most important tool in mathematics?

Fourier transforms have an essential part to play in scholarship for january, modern life – and are one of the keys to understanding the world around us. This mathematical equation has been described as the most important in all of pro birth control essay, physics. College No Essay? Find out case study site, more! (This topic is only suitable for college prowler IB HL students). 6) Batman and Superman maths – how to use Wolfram Alpha to plot graphs of the Batman and Superman logo. 7) Explore the da vinci a renaissance man essay, Si(x) function – a special function in calculus that can’t be integrated into an elementary function. Statistics and modelling. 1) Traffic flow: How maths can model traffic on college prowler no essay for january, the roads. 2) Logistic function and constrained growth. 3) Benford’s Law – using statistics to essay survival, catch criminals by making use of college prowler no essay, a surprising distribution. 4) Bad maths in leonardo da vinci a renaissance man essay, court – how a misuse of statistics in the courtroom can lead to college no essay scholarship, devastating miscarriages of justice.

5) The mathematics of essay survival, cons – how con artists use pyramid schemes to get rich quick. 6) Impact Earth – what would happen if an asteroid or meteorite hit the Earth? 7) Black Swan events – how usefully can mathematics predict small probability high impact events? 8) Modelling happiness – how understanding utility value can make you happier. 9) Does finger length predict mathematical ability? Investigate the surprising correlation between finger ratios and all sorts of abilities and traits. 10) Modelling epidemics/spread of a virus. 11) The Monty Hall problem – this video will show why statistics often lead you to unintuitive results. 12) Monte Carlo simulations. 14) Bayes’ theorem: How understanding probability is no essay for january essential to our legal system. 15) Birthday paradox: The birthday paradox shows how intuitive ideas on probability can often be wrong.

How many people need to be in a room for it to be at least 50% likely that two people will share the same birthday? Find out! 16) Are we living in a computer simulation? Look at leonardo da vinci, the Bayesian logic behind the argument that we are living in a computer simulation. 17) Does sacking a football manager affect results? A chance to prowler no essay scholarship, look at some statistics with surprising results. 18) Which times tables do students find most difficult? A good example of how to frankl essay, conduct a statistical investigation in mathematics. 19) Introduction to Modelling.

This is a fantastic 70 page booklet explaining different modelling methods from college no essay scholarship for january Moody’s Mega Maths Challenge. 20) Modelling infectious diseases – how we can use mathematics to predict how diseases like measles will spread through a population. 21) Using Chi Squared to crack codes – Chi squared can be used to crack Vigenere codes which for hundreds of case study site, years were thought to prowler no essay for january, be unbreakable. Unleash your inner spy! 22) Modelling Zombies – How do zombies spread? What is your best way of surviving the zombie apocalypse?

Surprisingly maths can help! 23) Modelling music with sine waves – how we can understand different notes by sine waves of different frequencies. Listen to the sounds that different sine waves make. 24) Are you psychic? Use the binomial distribution to test your ESP abilities. 25) Reaction times – are you above or below average? Model your data using a normal distribution. 26) Modelling volcanoes – look at how the Poisson distribution can predict volcanic eruptions, and perhaps explore some more advanced statistical tests.

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