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Manchester Business School

manchester business school

London

The University of Manchester – Middle East Centre opened at Dubai Knowledge Park in 2006 with the launch of its flagship Global Part-time MBA programme. Today, the centre has supported over 2,894 part-time MBA students and graduated over 1,849. The centre team also supports a regional community of around 2,800 alumni and actively works to create professional networking opportunities to help enrich the wider business community. The Middle East Centre is the largest and fastest growing centre in The University of Manchester’s international network. Since successfully launching the University’s top ranked MBA programme in the Middle East, the centre has identified a range of key educational and leadership needs in the region through research, collaborations and consultancy work. The University now offers a dynamic portfolio of blended learning part-time Master’s degrees for working professionals, including MSc Financial Management and MA Educational Leadership in Practice. As the University continues to contribute to the growth of the higher education sector in the Middle East, additional programmes will be offered. The University works in a range of collaborations with professional bodies such as IMA, ACCA, and Society of Engineers, as well as UK organisations including UKTI, British Business Group and British Centres for Business. In addition, The University of Manchester - Middle East Centre has forged a range of partnerships with public and private sector organisations through its Strategic Talent Partnership programme. Economic growth area Dubai and the region continue to be an area of dynamic economic growth, with solid business infrastructure, a healthy and developing business environment, areas of skills development that are supported by government, and businesses that are facing the challenges of maintaining economic growth through a period of economic change. Dynamic and vibrant city Dubai shares many similarities with Manchester; both are dynamic and vibrant cities that have transformed themselves to make a major impact on the world. Manchester was at the heart of the first industrial revolution and is still today a centre of research, innovation and learning; and Dubai is at the forefront of the new wave of 21st century, knowledge-based economies. Executive educational facilities The Middle East Centre, based in Block 2B at the knowledge hub, Dubai Knowledge Park, offers study, library and classroom facilities for students and visiting faculty from The University of Manchester in the UK, as well as office space for the regional team, which coordinates and supports all student activities, including highly interactive and intensive workshops conducted by visiting faculty. A recent expansion at the centre has also increased the range of facilities available for students. Our students and alumni We are delighted to have supported such a large number of talented MBA graduates from the Middle East region. Since our first class graduated in 2009, we have launched The University of Manchester Alumni Association Middle East to support our many alumni in the region through a very active programme of professional and social events and networking opportunities.

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Ladywood Community School Of Music

ladywood community school of music

Birmingham

The Ladywood Community School of Music is surviving on a shoestring, the grace of Birmingham City Council and the enduring good will and dedication of our two remaining tutors, Paul and Curtis. We currently run classes in Guitar and Saxophone between 6 and 7 pm on Thursdays at the Community Centre in St Vincent Street. Xhosa Cole Our mission is “to bring affordable, quality musical tuition to the heart of Ladywood. We cater for children and adults of all ages and abilities”. In the past we have offered classes in Piano, Drums, Violin and Trumpet and showcased our students and tutors in events at the Community Centre, Birmingham Artsfest, the Botanical Gardens and elsewhere. As a project we are a place where people often come to pick up an instrument for the first time and, as such, we don’t attract the attention that more high powered projects do. However, students who started with us have gone on to play in their own bands, The Notebenders and even MYJO. Most recently Xhosa Cole, who first picked up a saxophone at our Music School a decade or more ago, won the prestigious BBC Young Jazz Musician of the Year. We make a difference! If you think you can help or would like to try, please get in touch by phoning Richard on 07905 559 167 or emailing ladywoodmusic@gmail.com The video is of an Artsfest event we put on back in 2008, and feature Students, Teachers and people who just came along on the day and picked up an instrument. As a school we’d like to get back to where we were then. There's plenty more about us in the old website which I’ve archived, though you may find it doesn’t all work as much of the old HTML 3 & 4 code is deprecated

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Muge Zorbozan - My Breathing Path

muge zorbozan - my breathing path

Kew, Richmond

Hello!! My name is Muge and I am the founder of My Breathing Path! I was born in Istanbul, Turkey and I lived there until 2018. I was working in the Turkish finance industry for more than 10 years and during that time I was suffering from an advanced hernia in my neck. Working in a high stress environment and dealing with lots of problems at the same time, made me a super-achiever. I first came across breathwork in a workshop in 2010. It was extremely powerful but also it was completely different to the other techniques that I had tried before. As I continued to go to the sessions, it helped me to understand my behaviour as a perfectionist and its subsequent consequences for my life, the hernia and my unbalanced relationship with my family, friends and colleagues. After experiencing healing and transformation myself, I decided to become a facilitator. Since 2014, I have been working in the field of Transformational Breath as a Certified Transformational Breath Facilitator in private sessions, workshops and seminars while I continued to work in my finance career. I have experience in working with a wide variety of people – each possessing their own set of needs and goals. My further qualifications, Basic DNA Theta Healing Practitioner and Reiki II Certification are used in conjunction with Transformational Breath sessions to help people reach their potential and achieve their goals. Life is a combination of different journeys and within my new journey in the UK, I look forward to sharing my experiences through transformational breathing sessions with others, who want to discover more about themselves with transformation in their life, increase their self-awareness and live a healthier lifestyle.

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Frantic Productions

frantic productions

London

Fran Carpenter is the Managing Director of Frantic Productions Ltd. Frantic was formed in 1998. A prolific writer of school music resources and Christmas nativity plays and musicals, Fran has more than 20 years' experience of teaching early years, Key Stage 1 and Key Stage 2 as a music co-ordinator and specialist class music teacher. Fran's catalogue of school musicals and music education resources is growing all the time, and her nativity plays and musical productions have been performed worldwide in thousands of primary schools. Fran also worked for several years in school television and educational video production. She worked as a member of the producer's team on a series of BBC's Look and Read and on a TEFL video for Pearson Education, and was a co-writer of the accompanying teachers' resource packs. She is a member of the Orff Society UK and much of her music for children is inspired by the creative Orff approach to music education. In addition to her writing work, Fran runs music workshops in nurseries and schools and CPD teacher training courses for music hubs and teacher training colleges. These courses are highly regarded and provide teachers and students with a whole host of ideas for creative music making with early years and primary children. Frantic Productions is also a Music Hub Partner of Bournemouth's Music Hub, SoundStorm, running projects for Bournemouth primary schools and early years providers. Visit our Extras menu below for the full range of services Frantic can offer nurseries, schools and Music Hubs. The fabulous artwork on the Frantic Productions website and on the covers of our books since 2012 is by Vanessa Wells, withbits.com Fran is also delighted to have worked with the talented musicians, arrangers and composers, Dorian Kelly of Modal Music and Shan Verma of the London Jazz Piano School.

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Ncati

ncati

Birmingham

We are dedicated to creating the skilled engineering workforce of tomorrow. Operating from our campuses in Doncaster and Birmingham, NCATI is part of the University of Birmingham Group, and is led by a team with strong links with both industry and education. This ensures that the skills we teach are ones that employers in the transport and infrastructure sectors need. To deliver the major infrastructure programmes and rail modernisation initiatives planned across the UK, the engineering workforce needs a greater number of talented people, with a different blend of skills, and from more diverse backgrounds. Our mission as an organisation is to produce a new generation of highly skilled professionals from a range of communities, changing what the rail industry looks like with new segments of the UK joining Britain’s rail, transport, and infrastructure workforce. Accessible from levels 3 to 6, our curriculum offer is for ages 16 and above, and includes part-time and full-time courses, as well as apprenticeships. One of our values at the college is pioneering excellence, and we strive to achieve this by utilising the best technology and facilities available – with over £9 million of specialist kit and equipment donated to us by our employer partners. Industry collaboration is integral to our success, and NCATI has benefitted significantly from engaging with leading sector employers like HS2, Honeywell, and Alstom. Our network supports us by offering apprenticeships, work placements, mentoring and site visits. We also have guest lecturers that come into the college and teach learners about the latest innovations in the industry. Our learners are at the heart of everything we do. That is why we have created a supportive learning environment with smaller class sizes and personalised one-to-one mentoring, allowing every individual to thrive and achieve their personal and professional goals.

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Lord Lawson Of Beamish Academy

lord lawson of beamish academy

Chester Le Street

Lord Lawson of Beamish Academy is a larger-than-average mixed secondary school in the town of Birtley. The school role is usually around 1450 students, including around 200 in the sixth form. The school occupies a large site, elevated above the east side of the town. Birtley is situated in the borough of Gateshead, and is between Gateshead and Chester-le-Street. Lord Lawson of Beamish Academy is a stand-alone academy, with no affiliation to other schools or academy trusts. Secondary schools in Gateshead work closely together, with one another, with their cluster of primary schools and with the local authority. The school was founded in 1970 as an amalgamation of three previous secondary schools. The present school building was opened in September 2007, built as part of the government’s Private Finance Initiative. The building was constructed by Sir Robert McAlpine and is very well maintained. It provides good-sized classrooms and excellent facilities for learning. Andrew Fowler has been the Principal since June 2019. Previous principals were Mark Lovatt and, before him, David Grigg. The principal is assisted by a deputy principal and a small number of assistant principals. Departments are led by subject leaders, assisted in the larger subjects by deputy and assistant subject leaders. The school is named after Jack Lawson, who was an influential local trade union leader and Labour politician. Jack Lawson became a Member of Parliament, representing a constituency in County Durham. He was a minister in the MacDonald and Attlee governments. When Jack Lawson was given a life peerage in 1950, he took the title Baron Lawson of Beamish. The school’s vision and values are inspired by Jack Lawson’s dedication to public service and education. The school still enjoys strong links with local industry and politics.

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T I G A - The International Gaming Agency

t i g a - the international gaming agency

Nuneaton

We specialise in assistance to experienced croupiers from outside the UK looking for employment We can help overseas applicants obtain a British Gaming Licence (PFL/PML), enabling them to work in the UK. We can provide individual tailored training to both people who wish to improve their dealing skills or for complete beginners. We can provide both class environments and one to one tuition to people who wish to learn to deal casino games, including Texas Hold'em Poker, all to recognised casino industry standards. We can provide help and advice relating to all forms of licensing in the UK for both individuals and operators. More info LICENSE REQUIREMENTS PFL application form from the Gambling Commission of the United Kingdom Supplied by TIGA - available in information and application pack PFL photo ID form from the Gambling Commission of the United KingdomsSupplied by TIGA - available in information and application pack – this will also require 2 recent passport style photographs Personal ID – Current Passport or National ID card These MUST be original documents and MUST be valid and NOT out of date. DBS (Disclosure and Barring Service)CRB check – form from the Criminal Records Bureau of the United Kingdom For applicants outside of the UK it MAY be possible not to require this form, however, where possible we advise completion of this document in order to facilitate the best possible chance of acquiring a license. Police record from the country of residence(s) over the last 5 years This document MUST be translated into English and have an “official” stamp of validation and authentication from the relevant authorities required. Where applicants have lived in more than one country over a five year period it is essential to have this documentation from all countries/jurisdictions that have been lived in over this period.

Education House Leeds

education house leeds

Leeds

WELCOME TO EDUCATION HOUSE LEEDS Education House Leeds is an independent training provider based in the United Kingdom that serves learners from both Britain and beyond. We were established in Leeds, West Yorkshire in 2014 with the singular mission to provide individuals with the critical skills that they needed to advance themselves in their career, or to affirm their status here within the United Kingdom. In short, we train you for success. When you work with Education House Leeds, you get a unique, life-changing experience that’s also great value for money. We continuously strive to both widen the scope of our qualification offerings, and deliver on real value that helps our learners achieve their aspirations and raise themselves up to where they want to be. How do we deliver on our mission? We differentiate ourselves in three key ways, namely: We provide a “hands-on” experiential learning approach. We strive for greater recognition from the UK’s top accreditation groups. We offer career-boosting courses in a number of areas, including preparation for some of the UK’s most fundamental and important tests. Hands-On Learning Education House Leeds has built its reputation by using a system of active, inspiring and experiential learning methods to help people gain the essential qualifications they need in a variety of fields. We challenge and inspire learners from all over the world to raise themselves up and reach new heights, which they can easily do thanks to our growing list of accreditations and courses we offer. Growing Recognition Education House Leeds is increasingly recognised as a centre of learning excellence. In recent years, we have gained valuable accreditations from some of the country’s most dynamic and rigorous awarding organisations:

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Bright Pi Education Consultancy

bright pi education consultancy

Solihull

At Bright Pi we are passionate about supporting all those involved with the teaching and learning of mathematics; raising standards and helping all to achieve their best in the early years and primary phases. Based in the Midlands, we form a highly regarded team with wide ranging experience and up to date skills providing support to schools across the UK. The team has taught across the early years and primary age range and all have experience in local authority school improvement working with teachers, leaders and other stakeholders. Having worked as regional co-ordinators for the National Centre for Excellence in the Teaching of Mathematics (NCETM), Bright Pi maintains a close working relationship with the NCETM delivering their ever-evolving national ‘Professional Development Lead’ programme. We are proud to work alongside other partner organisations including the National Maths Hub Network. We play a key role on the strategic board for our local hub and lead on the Mastery Readiness programme for the Origin Maths Hub. This supports those schools starting their journey in Teaching for Mastery, as well as those developing their practice. In addition, Bright Pi has also provided operational external key stage 1 moderation for the Standards and Testing Agency (STA), monitoring practice in various local authorities across the country. We are accredited by NCETM as Professional Development Leads and support individual schools as well as networks with bespoke packages of support, tailored to specific need and context. Bright Pi also offers CPD sessions for all those involved in mathematics education, supporting improvement in both subject and pedagogical knowledge. We are keen to raise the profile of mathematics as a subject and enjoy working with parents, governors and the wider community.

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Black's Academy

black's academy

London

AQA A level Mathematics 7357 AS level Mathematics 7356 GCSE higher level Mathematics 8300H GCSE foundation level Mathematics 8300F Edexcel A level Mathematics 9MA0 AS level Mathematics 8MA0 GCSE higher level Mathematics 1MA1H GCSE foundation level Mathematics 1MA1F OCR A level Mathematics H240 AS level Mathematics H230 GCSE higher level Mathematics J560 GCSE foundation level Mathematics Other courses IGCSE extended level Mathematics 0580 Scholastic Apititude Test (USA Exam) GED (USA Exam) All other exams Click on any of the above links to obtain free resources Book free diagnostic now blacksacademy symbol Director Peter Fekete Educational consultancy | Curriculum design | Courses for adults | Public speaking | Publications CONTACT a CONTENT OF THE REMOTE LEARNING SYSTEM * US GRADE 6 / UK GCSE GRADE 2–3 1. Addition and subtraction 2. Starting number sequences 3. Further number sequences part I 4. Multiplication to 8 x 8 5. Further number sequences part II 6. Multiplication to 12 x 12 7. Square numbers 8. Positive and negative numbers 9. Sums 10. Shapes and perimiters 11. Measurement and areas 12. Reading information 14. Understanding fractions 15. Decimals 16. Percentages 17. Long multiplication 18. Beginning algebra 19. Beginning probability 20. Beginning geometry 21. Properties of numbers 22. Telling the time 23. Geometry in three dimensions US GRADE 7 / UK GCSE GRADE 4 1. Deeper understanding of number 2. Combinations 3. Long division 4. Operations 5. Practical problems 6. Order and type of numbers 7. Measurement 8. Time and time management 9. Fractions 10. Organising information 11. Ratio and proportion 12. Probability 13. Angles 14. Visual reasoning 15. Bearings 16. Working in two dimensions 17. Working in three dimensions 18. Transformation geometry 19. Continuing algebra US GRADE 8 / UK GCSE GRADE 5–6 1. Patterns and pattern recognition 2. Lines, regions and inequalities 3. Mastering fractions 4. Types of number 5. More about triangles 6. Measurement and computation 7. Proportionality 8. Working with space 9. Indices 10. Further work with ratio 11. Investments 12. Further algebra 13. Quadrilaterals and polygons 14. Speed and displacement 15. Continuing with probability 16. Describing data US GRADE 9 / UK GCSE GRADE 6–7 1. Further proportionality 2. Congruency 3. The tricky aspects of algebra 4. Lines and equations 5. Basic formal algebra 6. Analysis and display of data 7. Graphing functions 8. Dimension and algebra 9. Algebraic fractions 10. Circle theorems 11. Algebraic factors 12. Simultaneous equations 13. Velocity and acceleration 14. Proportionality and scatter 15. Number puzzles US GRADE 10/ UK GCSE GRADE 7–8 1. Transpositions 2. Patterns and pattern recognition 3. Algebraic manipulations 4. Quadratics 5. Surds 6. Linear inequalities 7. Functions 8. Trigonometry 9. Systems of linear equations 10. Further presentation and analysis of data 11. Polynomial functions 12. Algebraic products 13. Finding roots 14. Intersection of lines and curves 15. Indices and index equations US GRADE 11/ UK GCSE GRADE 8–9 1. Completing the square 2. Venn diagrams 3. Coordinate geometry with straight lines 4. Further trigonometry 5. Transformations of curves 6. Modulus 7. Basic vectors 8. Quadratic inequalities 9. The quadratic discriminant 10. Arcs, sectors and segments 11. Circles, curves and lines 12. Probability and Venn diagrams 13. Functions, domains and inverses 14. Trigonometric functions 15. Recurrence relations 16. Further elementary vectors FREE LEGACY RESOURCES Business Studies, Economics, History, Mathematics, Philosophy, Sociology Business Studies PEOPLE AND ORGANISATIONS 1. Management structures and organisations 2. Leadership and management styles 3. Classical theory of motivation 4. Human relations school 5. Management by objectives 6. Workforce planning 7. Recruitment 8. Payment systems MARKETING 1. The economic problem 2. Money and exchange 3. Price determination 4. Determinants of demand 5. Market analysis 6. Marketing and the product life cycle 7. Objectives and marketing EXTERNAL INFLUENCES 1. Stakeholders 2. Business ethics 3. Market conditions 4. Business and the trade cycle 5. Business and technological change 6. Business and inflation 7. Business and exchange rates 8. Business and unemployment ACCOUNTING & FINANCE 1. Cash Flow Management 2. Costs, Profits & Breakeven Analysis 3. Budgeting & Variance Analysis 4. Sources of Finance 5. Profit & Loss Account 6. The Balance Sheet 7. Depreciation by the fixed-rate method 8. Reducing Balance Method 9. Stock Evaluation 10. Working Capital and Liquidity 11. Accounting Principles and Window Dressing 12. Costing and Management Accounting 13. Investors and the Corporate Life Cycle 14. Investment Appraisal: Average Rate of Return 15. Investment Appraisal: Payback Method 16. Investment Appraisal: Net Present Value 17. Investment Appraisal: Internal Rate of Return 18. Profitability Ratios 19. Liquidity Ratios 20. Efficiency and shareholder ratios 22. Gearing and Risk 23. Net Asset Value Economics MARKETS & MARKET FAILURE 1. The economic problem 2. Productive and allocative efficiency 3. Money and exchange 4. Price determination 5. The money market 6. Introduction to the labour market 7. The determinants of demand 8. Supply and elasticity of supply 9. Excess supply and excess capacity 10. Elasticity of demand 11. Market structures 12. Income and cross elasticity 13. Market failure 14. Factor immobility 15. Public and private goods 16. Merit and non-merit goods 17. Cost-benefit analysis 18. Competition policy 19. Market failure and government intervention History ANCIENT HISTORY 1. Prehistory of Greece 2. Mycenae, the Heroic Age c.1550—1125 BC 3. The Greek Middle Ages c.1125—c.700 BC 4. The Greek Tyrannies c. 650—510 BC 5. Sparta 6th and 7th centuries BC 6. Athens and Solon 7. The early inhabitants of Italy 8. The Etruscans 9. Early Roman History up to Tarquin GERMANY & EUROPE 1870—1939 1. Social Change from 1870 to 1914 2. Socialism in Europe 1870 to 1914 3. The Balance of Power in Europe 1870 4. Anti Semitism in Europe 1870 to 1914 5. The Structure of Wilhelmine Germany 6. Bismarck and the Alliance System 7. Weltpolitik 8. Colonial Rivalries 9. First and Second Moroccan Crises 10. The First World War triggers 11. The Causes of the First World War 12. Germany and the First World War 13. Military history of the First World War 14. The Treaty of Versailles 15. The Domestic Impact of the First World War 16. The German Revolution 17. The Weimar Republic 18. The Early Years of the Nazi Party 19. The Rise of the Nazi Party 20. The Establishment of the Nazi Dictatorship 21. Nazi Rule in Germany 1934 to 1939 22. The Economics of the Third Reich 23. Appeasement RUSSIA & EUROPE 1855—1953 1. Alexander II and the Great Reforms 2. Imperial Russia under Alexander III 3. Nicholas II and the 1905 revolution 4. Social and economic developments in Russia 5. Russia: the Great war and collapse of Tsarism 6. Provisonal Government & October Revolution 7. The Era of Lenin 8. The Development of Lenin's Thought 9. New Economic Policy and the Rise of Stalin 10. Stalin and the Soviet Union 1924 to 1953 11. Stalin and the Soviet Economy 12. Stalin and International Relations BRITAIN 1914—1936 1. The Great War and Britain 1914—15 2. Britain during the Great War, 1915—16 3. Lloyd George & the Great War, 1916—1918 4. Great Britain after the War, 1918—22 5. British Politics, 1922—25 6. Class Conflict & the National Strike, 1926 7. Britain & International Relations, 1925—29 8. Social Trends in Britain during the 1920s 9. Social Issues during the late 1920s 10. British Politics 1926—29; Election of 1929 11. Britain — the crisis of 1929 12. The Labour Government of 1929—31 13. Britain and economic affairs, 1931—33 14. Britain and Foreign Affairs, 1931—36 15. Social Conditions in Britain during the 1930s Advanced level Mathematics ALGEBRA & GEOMETRY 1. Simultaneous Equations 2. Polynomial Algebra 3. Cartesian Coordinates 4. The equation of the straight line 5. Intersection of lines and curves 6. Remainder and Factor Theorems 7. Functions 8. Quadratic Inequalities 9. Graphs of Inequalities 10. Indices 11. Polynomial Division 12. Velocity-Time Graphs 13. Tally Charts 14. Absolute and relative errors 15. Sequences and Series 16. Arithmetic Progressions 17. Proof by Contradiction 18. Geometric Progressions 19. The Cartesian Equation of the Circle 20. Transformations of graphs 21. Plane Trigonometry 22. Modulus 23. Trigonometric Functions 24. Inverse Trigonometric Functions 25. Linear Inequalities 26. Proportionality 27. Probability 28. Surds 29. Special Triangles 30. Quadratic Polynomials 31. Roots & Coefficients of Quadratics 32. Radian measure 33. Permutations and Combinations 34. Set Theory and Venn Diagrams 35. Sine and cosine rules 36. Elementary Trigonometric Identities 37. Roots and curve sketching 38. Graphs and roots of equations 39. Picards Method 40. Small Angle Approximations 41. Simultaneous equations in three unknowns 42. Linear relations and experimental laws 43. Conditional Probability 44. Pascal's Triangle and the Binomial Theorem 45. Index Equations and Logarithms 46. The Binomial Theorem for Rational Indices 47. Exponential Growth and Decay 48. Exponential and Natural Logarithm 49. Compound Angle Formulas 50. Sinusoidal functions 51. Vector Algebra 52. The Vector Equation of the Straight Line 53. The Scalar Product of Vectors 54. Axiom Systems 55. Introduction to Complex Numbers 56. The algebra of complex numbers 57. Complex Numbers and the Argand plane 58. De Moivres Theorem 59. Eulers formula 60. Further loci of complex numbers 61. Further graph sketching 62. Mathematical Induction 63. Proof of the Binomial Theorem 64. Polar Coordinates 65. Conic sections 66. Partial Fractions 67. First-order linear recurrence relations 68. Summation finite series with standard results 69. Method of differences 70. Trigonometric Equations 72. Series Expansion 73. Lagrange Interpolating Polynomial 74. Error in an interpolating polynomial 75. Abelian groups 76. Geometrical uses of complex numbers 77. Cyclic Groups 78. The Cayley-Hamilton Theorem 2x2 Matrices 79. Cayley Theorem 80. Determinants 81. Isomorphisms 82. Lagrange theorem 83. Properties of groups 84. Group structure 85. Subgroups 86. Homomorphisms 87. Matrix Algebra 88. Determinant and Inverse of a 2x2 matrix 89. Gaussian elimination 90. Matrix representation of Fibonacci numbers 91. Matrix groups 92. Inverse of a 3 x 3 Matrix 93. Singular and non-singular matrices 94. Properties of Matrix Multiplication 95. Induction in Matrix Algebra 96. Properties of Determinants 97. Permutation groups 98. First Isomorphism Theorem for Groups 99. Roots of Polynomials of Degree 3 100. Scalar Triple Product 101. Systems of Linear Equations 102. Matrix Transformations 103. Mappings of complex numbers 104. Cross product of two vectors 105. Vector planes 106. Eigenvalues and Eigenvectors CALCULUS 1. Introduction to the Differential Calculus 2. Stationary points and curve sketching 3. Applications of Differentiation 4. Differentiation from First Principles 5. The Trapezium Method 6. Integration 7. Direct Integration 8. Applications of integration to find areas 9. Graphs of Rational Functions 10. Derivatives of sine and cosine 11. Products, Chains and Quotients 12. Volumes of Revolution 13. Exponential and Logarithmic Functions 14. Integration by Parts 15. Parametric Equations 16. The Integral of 1/x 17. Integration by Substitution 18. Implicit Differentiation 19. Formation of a differential equation 20. Separation of variables 21. Integrals of squares of trig functions 22. Maclaurin Series 23. Techniques of Integration 24. Integrating Factor 25. The Newton-Raphson formula 26. Errors in Numerical Processes 27. Roots and Recurrence Relations 28. Derivatives of Inverse Trig. Functions 29. Second order homogeneous equations 30. Second order inhomogeneous equations 31. Implicit differentiation — second derivative 32. Integrands to inverse trigonometric functions 33. Integrands to logarithmic function 34. Integration of Partial Fractions 35. Logarithms and Implicit Differentiation 36. Implicit differentiation and MaClaurin series 37. Separation of variables by substitution 38. Trigonometric Substitutions for Integrals 39. Truncation Errors 40. Euler and Trapezoidal Method 41. Numerical methods for differential equations 42. Simpson Method 43. Proof of Simpson Formula 44. Richardson Extrapolation 45. Arc length of a curve in Cartesian coordinates 46. Arc length of a curve in Polar coordinates 47. Arc length of a curve: Parametric form 48. Curves in Euclidean space 49. Functions and continuity 50. The gradient of a scalar field 51. The derivatives of the hyperbolic functions 52. Hyperbolic Functions 53. Inverse Hyperbolic Functions 54. Hyperbolic Identities 55. Integrals with inverse hyperbolic functions 56. Reduction formulae 57. Simultaneous differential equations 58. Surface of Revolution 59. Vector differential calculus 60. Scalar Fields and Vector Functions STATISTICS & PROBABILITY 1. Central Tendency: Mean, Median and Mode 2. Standard Deviation 3. Cumulative Frequency 4. Discrete Random Variables 5. Mutually exclusive and independent events 6. The Binomial Distribution 7. The Normal Distribution 8. Standardised Normal Distribution 9. Regression Lines 10. Correlation 11. The Geometric Distribution 12. Hypothesis Testing — Binomial Distribution 13. Index Numbers 14. Time Series Analysis 15. Bayes Theorem 16. Confidence interval mean — known variance 17. The Central Limit Theorem 18. Pearsons product moment correlation 19. Spearmans Rank Correlation Coefficient 20. Hypothesis Testing — Normal Distribution 21. The Poisson Distribution 22. The Normal Approximation to the Binomial 23. The Normal Approximation to the Poisson 24. The Poisson Approximation to the Binomial 25. Type I and type II errors 26. Scalar multiples of a Poisson variable 27. Test for the Mean of a Poisson distribution 28. Random Number Sampling 29. Estimating Population Parameters 30. Random Samples and Sampling Techniques 31. The Concept of a Statistic 32. Hypothesis test for the population variance 33. Central Concepts in Statistics 34. Continuous Probability Distributions 35. Modeling: Chi squared goodness of fit 36. Chi squared test for independence 37. Degrees of Freedom 38. Difference Sample Means Unknown Variance 39. Moment generating functions 40. Probability generating functions 41. Linear Combinations of Random Variables 42. Maximum Likelihood Estimators 43. Wilcoxon signed rank test on median 44. Non-parametric significance tests 45. Single-sample sign test of population median 46. Paired-sample sign test on medians 47. Paired sample t-test for related data 48. Paired sample Wilcoxon signed rank test 49. Difference of two sample means 50. Pooled sample estimate 51. Testing the Sample Mean 52. The Uniform Distribution MECHANICS 1. Velocity-Time and Displacement-Time Graphs 2. Force diagrams 3. Representation of Forces by Vectors 4. Static Equilibrium 5. Equilibrium of coplanar forces 6. Weight and Free Fall 7. Normal Reaction and Friction 8. Newtons First and Second Laws 9. Relative Motion 10. Projectiles 11. Calculus and Kinematics 12. Motion of a Particle: Vector calculus form 13. Work 14. Energy Conversions 15. Gravitational potential and kinetic energy 16. Connected Particles 17. Moments 18. Linear momentum 19. Power 20. Hookes Law 21. Simple Harmonic Motion 22. Simple Harmonic Motion and Springs 23. Calculus, Kinematics in Three Dimensions 24. Sliding, toppling and suspending 25. Impulsive Tensions in Strings 26. Angular Velocity 27. Motion in a Horizontal Circle 28. Centre of Mass of a Uniform Lamina 29. Motion in a Vertical Circle 30. Motion under a Variable Force 31. Conservation of Angular Momentum 32. Centre of Mass of a Composite Body 33. Motion under a central force 34. Centre of Mass of a Uniform Lamina 35. Centre of Mass Uniform Solid of Revolution 36. Equilibrium of Rigid Bodies in Contact 37. Damped Harmonic Motion 38. Moment of Inertia 39. Impulse, elastic collisions in one dimension 40. Parallel and Perpendicular Axis Theorems 41. Motion described in polar coordinates 42. Simple pendulum 43. Compound pendulum 44. Stability and Oscillations 45. Vector calculus 46. Linear Motion of a Body of Variable Mass DISCRETE & DECISION 1. Algorithms 2. Introduction to graph theory 3. Dijkstra algorithm 4. Sorting Algorithms 5. Critical Path Analysis 6. Dynamic Programming 7. Decision Trees 8. The Maximal Flow Problem 9. The Hungarian algorithm 10. Introduction to Linear Programming 11. Simplex Method 12. Matching Problems 13. Game Theory 14. Minimum connector problem 15. Recurrence relations 16. Proofs for linear recurrence relations 17. Simulation by Monte Carlo Methods 18. Travelling and Optimal Salesperson Problems 19. The Travelling Salesperson Problem Philosophy INTRODUCTION TO PHILOSOPHY 1. The problem of evil 2. Introduction to Plato 3. Knowledge, belief and justification 4. Descartes Meditation I 5. Introduction to the problem of universals 6. Introduction to metaethics 7. Subjectivism versus objectivism 8. Aristotle's function argument 9. Natural Law Theory 10. Utilitarianism 11. The Nicomachaen Ethics of Aristotle 12. Virtue Ethics 13. Descartes Meditation II 14. Hume and empiricism 15. The paradox of induction 16. Hume's attack on Descartes 17. The Cosmological Argument 18. The Ontological Argument 19. The Teleological Argument 20. The Argument from religious experience 21. The Moral Argument 22. The argument from illusion 23. Materialism 24. Human Identity Sociology PERSPECTIVES & METHODOLOGY 1. Introduction to Marxism 2. Introduction to Durkheim 3. Weber: classes, status groups and parties 4. Introduction to patriarchy and gender roles 5. Mass culture theory 6. The Frankfurt school STRATIFICATION & DIVERSITY 1. Ethnic groups and discrimination 2. Race, Ethnicity and Nationalism 3. Social Inequality 4. Theories of Racism 5. Class structure 6. Modern Functionalism and Stratification 7. Social Mobility 8. Bottomore: Classes in Modern Britain 9. American exceptionalism ASPECTS OF SOCIETY 1. Definitions of Poverty 2. Theories of Poverty 3. Solutions to Poverty 4. Alienation 5. Leisure 6. Work and Technological Change 7. Conflict and Cooperation at Work 8. Attitudes to Work 9. Unemployment 10. Perspectives on Education 11. Education and Ethnicity 12. Education and Gender 13. The Family and Social Structure 14. The Family and Household Structure 15. Conjugal Roles 16. Marital Breakdown 17. Post War Education in Britain 18. British Social Policy 1945—1990

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