106 Educators providing Courses delivered Online

Roundwood Park School

roundwood park school

Hertfordshire

With Grammar schools in nearby St Albans, that meant that it was in reality a secondary modern school although as its pupils reached school leaving age (15 in those days) it soon became apparent that many wanted to stay on into the fifth year and take ‘O’ levels so that facility was provided. The school opened with three teaching blocks – still recognizable as ‘B’ block, ‘C’ block and the hall, gym etc. where the staff room and offices were. There were three forms, one in each of the second, third and fourth years and three first year forms, making a total of 179 pupils. There were ten teachers including the first head teacher – Mr Arthur Foxwell. The school was organised into four houses – Braille, Campbell, Grenfell and Nightingale – thus providing a competitive element for the popular Sports Day and, from 1961 when the town’s pool was opened, the Swimming Gala. After three years, the school had reached its planned maximum size but often exceeded that over subsequent years due to its increasing popularity with local residents as well as those in Wheathampstead and Redbourn. Now we receive many pupils from the other villages – Markyate, Flamstead and Kimpton. This is partly due to the closure of smaller secondary schools in Redbourn and Wheathampstead so that the ‘economies of scale’ can be taken advantage of, full comprehensive provision within Hertfordshire and also due to parental preference. Mr Foxwell retired in 1976 after 20 years as Headteacher and Mr Turnbull took over for 2 years, being followed by Mr Haydon Luke who stayed for 17 years. Andy Cunningham stayed for 6 years and was replaced by Mr Nick Daymond who also stayed for 6 years until he was succeeded by the current Headteacher, Mr Alan Henshall. At various times in between, the Deputy Heads have held the fort – Mr Lucas, Mr Surtees and Ms Linda Graham – all contributing to the continuity and stability that have been part of the Roundwood ethos. Roundwood21There have been many changes over the past 60 years resulting in upheaval and disruption – increasingly frequent times when the site appeared more like a building site as a new Sixth Form/Modern Foreign Languages block was constructed, soon to be followed by a new Maths/Music building and a Sports Centre. The school is also now an Academy. The changes have not affected the ethos of the school and Roundwood Park remains the same, continuing to educate local children in a caring and supportive way that encourages them to develop their best talents through a broad and balanced curriculum. This article is adapted from the original produced for the 50th celebrations by Ruth Martin & Christine Hood. UPDATE On 13 September 2018 Roundwood Park was proud to officially open a state of the art 3G artificial pitch on the school site. A joint venture with Harpenden Colts FC, and with a £500,000 grant from the Premier League and the FA Facilities Fund, it allowed us to replace the existing grass pitch, which was unsuitable for football during the winter months. The new pitch is used by all students and players from the school as well as Harpenden Colts FC, who operate around 60 teams across eight different training venues. Watford FC Community Sports and Education Trust also use the pitch to deliver sessions for female and disabled football, as well as its use for regular summer holiday camps and coach education workshops.

Smartthink Training Ltd

smartthink training ltd

London

Smartthink Training Ltd is a leader in Information Technology and solutions. We concentrate in the support and outsourcing, IT communications and business stability. We provide IT training in London and other fields of Information Technology. We make sure, that with a large effort, you would have the proper and excellent IT knowledge and skills you should have. IT Technology does not end in the finish line. We believe that it is only the beginning. With the development of IT technology, you have a sure way to become better in your individual and business goals and we do the best we can in order for you to reach success. We make it happen. Our training and expertise in the IT technology is unmatched and we want to share the idea with you. We continue to evolve in the growing market industry and make sure you have a wide connection with the outside world through the power of IT. We serve with full willingness and effort and make sure you would have the excellence you deserve. We are certified training providers in London and with the emergence of globalization; we give you the opportunity to excel according to your own terms. We have highly qualified consultant and trainers who have a PhD degree and would assure you have the excellent training you could get. We do the best that we can in giving you the right information and IT skills you need. Smartthink Training Ltd. is built with operational interaction we greatly provide for most of our clients. We give high standard training courses in London. We assure you have the best training and service you could get. Our staff makes sure you are not only provided with the right training but also the assurance of guarantee and satisfaction all the time. We believe that with IT technology, you could do the impossible. We are a bunch of Certified IT Professionals who believe that the present IT education and training should be about modern IT. We are in the Google epoch, an epoch that redefines the constitution of unbeaten business, innovative development and practical learning. We believe and discern from what has been, but we look forward to what will come. We believe that awareness does not stop when you reach the end of an episode, but, its pursuit has just begun. We believe IT is about dreams, impossibilities and defiance. We convey through our commercial industry experience, and we continually work in this evolving market, initializing new elucidation and helping organisations scratch their IT itch. We assist businesses to realize their true potential through Information Technology. It is all the above that we hope to pass on to you, these beliefs, these understandings, and these ways of things. We believe in globalization. For that reason, we are expanding our services globally and currently branch offices in Ghana. We have many years experience in scheming, executing and sustaining Information Technology and business solutions. Our support contribution is on a firm establishment of client service distinction and highly qualified and motivated employees. It’s our vision to distribute solutions that will achieve most business objectives. Smartthink Ltd is built upon the operational interactions that we have with our customers. We provide a range of services that makes our clientele see us as a fundamental extension to their establishments.

Coxlease School - Hampshire

coxlease school - hampshire

7DE,

A network of high-quality education and care services across the UK Proven experience in delivering first-class residential care A broad, individualised and engaging curriculum, including vocational routes into sustainable employment Nationally-recognised qualifications and accreditations Onward pathways into further education or supported living, if required Some of the UK’s leading experts in working with young people with autism and other special educational needs Modern and well-equipped facilities, designed to meet holistic needs A proven track record of supporting the best outcomes for young people Supporting each child to achieve their unique potential We believe that every young person deserves the care, support and education that equips them for a brighter future, and we support each child to achieve their unique potential. Aspris Education provides a network of specialist schools and colleges, with an unwavering focus on achieving the best outcomes. With our educational expertise and first-class environments, children and young people grow, develop and progress. They achieve academically while building the social, emotional and independence skills they can draw on for life. Our Aspris Care children’s homes provide warm, welcoming and nurturing environments for vulnerable young people. They offer stability and care, empowering each child to overcome their barriers and succeed. Our homes support young people to engage with their education and lay the foundations for successful transitions to the next stage of their life. Rated as ‘Outstanding’ by Ofsted, Aspris Fostering Services supports a growing network of dedicated foster carers, ensuring that the children in our care grow up in safe, supportive and loving families. Our fostering agency helps young people to unlock their potential and face their adult lives with confidence and a sense of self-worth. Care and support tailored to each individual Every child is unique, so we carefully tailor our care and support to their specific needs, interests, skillsets and aspirations. We see the potential in each young person that we support and we place their needs at the core of every decision we take. We know the journey to success is often not a straight line. Wherever a child’s abilities lie, we dedicate ourselves to helping them enhance their future prospects. We are patient, committed and work in partnership with each young person that we support. Our specialisms We have extensive experience of working with children and young people with a range of needs, including autism, social, emotional and mental health (SEMH) needs and learning difficulties. We have an in-depth understanding of these challenges and the ways in which they can affect a young person, both academically and socially. This awareness shapes everything that we do, from the subjects offered in our schools and colleges, to the design and layout of our buildings. Welcoming international students Young people from across the world are welcomed into our specialist schools and colleges every year. These settings provide the safe and nurturing environments that children need to settle in and quickly feel at home. Located in some of the most beautiful areas in the UK, our education services offer a first-class British education, supporting young people to achieve a range of UK qualifications and accreditations. A commitment to safety and quality At Aspris Children’s Services, we are committed to providing high quality services through a robust governance framework. We nurture a culture of continuous quality improvement that moves beyond compliance, focusing on delivering excellent care and support to the young people we are responsible for. Our absolute priority is to make sure we operate safe and effective services 24/7. Employing a rigorous safeguarding culture means that the safety and welfare of the children we support is at the forefront of everything that we do.

Let���s Get Out Dorset

let���s get out dorset

Bournemouth

I HAVE A PASSION AND A BELIEF I have worked with young people for 17 years, I started working with young people in 2004 within a youth club, that provided a safe space for young people to engage in many activities. Very quickly I found my passion which is helping young people to make positive choices in their lives. Whilst my time was spent with a diverse group of young people, I realised that I had a passion working with the more challenging young people, usually the ones that get forgotten because they’re not turning up for school or their behaviours are very challenging because maybe they have emotional behavioural difficulties including risky behaviours. With these challenges I conducted risk assessments, whilst keeping young people at the heart of any action undertaken. These young people are the ones central to what I believe is my mission. I wanted to work primarily with young people who for some reason or another had conflict within their life. My belief is, no matter what, everybody needs somebody to believe in them, even when they struggle to believe in themselves. This led to more responsibility in my role as a youth worker. I started doing one-to-one work with challenging young people, working on a project that targets young people who are at risk of becoming marginalised. When further cuts to Youth service's were sanctioned young people suffered the most, this had a knock on effect to local crime figures rocketing. Young people with no direction or safe spaces to grow, the fundamental nature of being young is lost and in too many cases to mention, young people often find themselves in an environment where peer pressure is rooted in dysfunction, this in my experience is the perfect storm for disaster. Over the last decade since the cuts to youth work it has become more challenging to engage young people. I found myself taking my passion to help young people who were in a residential care setting where they were having the most difficult time of their lives. But again through one to one Key work supporting young people to make changes and experience alternative support such as green activities, I found that these activities help toward emotional stability. Activities can include night fishing, paddle boarding, kite surfing or whatever the young person chooses. If an idea or activity is brought to me I will only consider this after a thorough risk assessment and if successful together we will implement the activity in our one to one sessions, this serves as a way of including young people in their own support package. My aim, together with young people would be to re-introduce them to education, society and family living through mediation and support. I will be introducing young people to resilience building techniques that will have far reaching benefits that will stay with them throughout life, better preparing them for challenges life will bring. Outdoor activities reduce isolation, encourages change and builds confidence rather than being stuck indoors on their consoles confined to their bedrooms in isolation but getting out and enjoying nature and fun activities. please follow the hyperlink below Whilst doing all this creating a safe, positive, caring environment providing a consistent, reliable relationship with good boundaries. I then changed and went back to mentoring and again I have worked with some of the hardest to reach young people. I have a belief that everyone deserves to be given a helping hand. Whether they have been exploited with crime eg. CSE or County Lines, Gang Culture, Knife Crime, this can cause young people to be trapped in a cycle of fear that they can’t get out of,I believe no young person should be exposed to negative cycles like those mentioned above. This leads to isolation within their families and communities. Evidence is emerging during the current climate i.e Covid 19 has had a detrimental effect on young people regarding their mental wellbeing. Isolation breeds dysfunction which can contribute to anxiety and dysfunctional behavior finding It difficult to reintegrate back into society. which for some could even mean not being able to leave the house. My passion is to help turn young people's lives around and build resilience. empowering them to do things they really enjoy. In doing so this will help build up life skills that will inevitably serve them well with the challenges that life will bring. I will support them to be the best young person they can become and enjoy a safe caring and sustainable life which we all deserve.

Mtm Educational Consultancy

mtm educational consultancy

London

For more than 35 years, MTM Consulting has supported schools (state and independent), universities and other education providers to remain in business and to develop and thrive, whatever the economic climate. We are all about providing solid data, insightful analysis and clear recommendations to enable organisations to plan for future stability and success and to uphold their responsibilities to parents who entrust them with their children’s education. In fact, we’ve worked with more than 500 schools and researched more than 250,000 parents. Our feasibility studies, supply and demand analyses and stakeholder research projects are all designed to help school business leaders to understand the potential of their organisation’s market, where they stand against their competitors, what the market wants and what it does not want. MTM equips education decision-makers with the information and insight they need to make the right choices for the future of their organisations. Education business expertise MTM’s team are all education business specialists with many years of experience. We understand the challenges and opportunities of the education sector and we want to use our expertise to help schools and other education providers to find the right course and achieve success. We are friendly and approachable We want to help We enjoy designing bespoke market research, marketing and business strategies to meet individual clients’ specific needs We encourage questions We communicate throughout We present or report on our findings and recommendations in a way that best suits each client We love to provide all the detail our clients need We follow up to see if we can help further We keep in touch Meet MTM’s expert team… Evidence-based decision-making MTM Consulting’s support of its education clients is based on facts, expertise and experience. Our market research projects focus on providing the data and information required to make crucial decisions on resourcing and activities to: improve recruitment and increase the school roll minimise student attrition and improve retention and raise the organisation’s profile in its target market and the education sector in order to attract families, teaching and non-teaching staff, leaders and governors who will bring their skills and work as a team to ensure the organisation’s future success MTM uses UK-wide demographic information and a combination of qualitative and quantitative research methods to acquire exactly the data required to inform clients of the realities of their organisation’s situation. Of course, we don’t expect our education clients to be experts in market research themselves – through a series of friendly, collaborative discussions our team members are able to work with clients to ascertain the information that would be of greatest benefit to them in their decision-making. We ensure that the pricing of our products is transparent, and realistic in relation to education organisations’ budgets. In fact, we have recently revisited our offer in order to break down projects into distinct elements to improve affordability, particularly with smaller organisations in mind. We also offer subscription packages and the opportunity to spread payments over time. MTM’s suite of market research projects is infinitely customisable to suit the needs of individual clients and can be combined to create a totally bespoke market research project designed to meet clients’ needs exactly. Real-world insight, analysis and recommendations for success MTM is a long-established education market research company, which has a true understanding – built over three decades – of education, coupled with unparalleled skills and experience to support education business leaders to make the decisions that will lead their organisations to be steadfast and successful in the long-term, for the benefit of their stakeholders, staff and students. Our researchers have at their fingertips many years’ worth of sector- and country-wide data and are adept at using this to benchmark our clients’ performance. This helps business leaders to develop a real understanding of their organisation’s position and to see ‘the bigger picture’ and the potential in their market. Sometimes it is not just about what the data shows, but what it doesn’t show – our experts are able to draw attention to the gaps in an education organisation’s performance that can be crucial when making decisions on areas of future development. MTM works with a team of business professionals, all with proven track records in their fields, who work with our clients to maximise the opportunities revealed by market research and analysis. Business, marketing and international expertise is on offer to ensure that the client is able to develop a practical action plan – and a set of key performance indicators that will allow it to be assessed and scrutinised – as the organisation heads towards achieving its objectives. Our business professionals are collaborative team-workers, but they also have the strength and experience to draw our clients’ attention to areas of weakness and aims that are unachievable. We know that facing up to realities makes for a healthier business in the long term and ensures that funds and resources are focused on attainable goals. Supporting education It is our great pleasure to see our education clients succeed. There can be no better business to be in than education, and MTM is a staunch supporter of parents’ right to choose the environment in which their children are taught – state or independent, small or large… We work with education providers of all kinds and we are firm believers in the importance of a breadth of offering to suit all families. Early Years: MTM’s Feasibility Studies provide vital market information to schools and groups considering opening a new nursery or re-shaping their existing provision. Independent schools: MTM’s market research, business and marketing strategy projects are designed to help schools to be successful and sustainable in the long-term so that they are able to offer their pupils the education they deserve for the duration of their school careers State schools: MTM offers great insights into pupil and parent satisfaction and staff wellbeing to help schools to engage with the school community and ensure that educational resources are being maximised. School groups: MTM is able to advise groups (independent and state academies) on the potential success of new acquisitions and to help streamline the business of education for efficiency and to ensure maximum resources are available for education. Higher education: universities and higher education providers turn to MTM to help them to understand the opinions of their students on the quality of education they are receiving and the potential effect on their next steps in education and employment. Long-standing relationships with education clients We maintain very strong relationships with our clients, many of whom we have worked with on a regular basis for decades. To see real examples of MTM projects, please read a selection of our case studies. Over the past three decades, MTM has worked with big and small names in independent and state education, early years providers, higher education providers and education suppliers and investors. Rather than engaging MTM as a supplier, we like to think we are part of the team, offering information, skills and experience to support education organisations to maximise their business potential and provide a secure learning experience for their students well into the future. Communication with our clients is on-going and we constantly ask which aspects of our service they have most appreciated, and which could be developed. We act on our clients’ feedback and hone our products and services to make sure that they offer our clients exactly what they need.

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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