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674 Educators providing Testing courses delivered Online

Cognivity

cognivity

London

Welcome to Cognivity Coaching CIC, I hope you find all the information you require in the following pages, Please contact me directly for an informal chat or for any additional information, thank you, Eileen. Cognition offers us the ability to think, learn, respond and recall. A healthy cognition enables us to efficiently receive, understand, store, retrieve and use information, ensuring a more fulfilled, productive and independent life. Creativity is the use of ones imagination to create something new, original, different from before. Creativity is within all of us, so too is Cognition which can be trained to function effectively at any stage of a persons life. It is never too late to start over, look at things differently, achieve the goals set. Cognivity was formed in 2009 as a practice facilitating self development for individuals and groups. Creative thinking and implementation has always been a catalyst for change and Cognivity continues to use creative applications as a means of supporting people to develop skills which positively impact health, business and education. In March 2015 Cognivity became a Community Interest Company and is now a slightly bigger organisation welcoming a range of people who assist in delivering workshops, teaching, creating and coaching, all of whom share in the values of promoting Creativity and Wellness. Facilitating and coaching creatively is at the heart of what Cognivity does: facilitating business success and coaching individuals to embrace their strengths and the challenges ahead of them* With 23 years of technical, managerial and teaching experience gained whilst in industry, manufacturing, business, educational and training establishments; Cognivity has successfully: • Enabled individuals and groups to achieve specific, measurable goals • Delivered training and teaching programs in industry and education • Supported teams in their development including conflict resolution • Developed and implemented improved cost effective systems • Increased productivity • Reduced return rates and claim costs • Improved quality on a wide range of merchandise world wide • Defined and made transparent departmental roles • Improved manufacturing methods • Implemented cost effective quality systems • Reduced transport costs and identified problematic infrastructures • Addressed and acted upon environmental issues improving sustainability So, whether you are A student or potential student wishing to improve, prioritise or focus with one to one coaching or mentoring Someone who is presently lacking direction and would like some time to consider ways forward In a place or position at work that you wish to move on from and would like help clarifying a direct route Have an important challenge to face and would like support A team or organisation that is stuck and or wants to inject new creative ideas for growth Read through the sections on Coaching, Mentoring and Training or give me a call on 07742312828 and I will be pleased to chat about options. As a qualified business coach, mentor and teacher my experience combines industrial, managerial and educational expertise to deliver a range of coaching and training programs, workshops and courses. I use Action Learning and Occupational Psychometric Testing amongst other learning, business and development tools to help clients achieve their aims. “As Quality Control manager for a large buying office in Hong Kong / China Eileen strived hard demonstrating resilience and tenacity in her pursuit to create transparency not only within the quality department, but even more so with the hundreds of suppliers. The end result was much better relationships with those suppliers and a substantially higher level of satisfaction with customers” Koert Tulleners Chief Executive officer Freemans & Grattan Formerly, Managing Director Otto International Asia

Athena Studies

athena studies

London

Our tutors are ambitious, social and enthusiastic top tier students who excel in their field of study and have an affinity with teaching. This is what we seek in a tutor in order to provide the best lessons for the student. Only with an 8 or higher and a genuine interest in the relevant subject will such a top tier student be selected. After an initial interview, it is up to the selected candidate to show us how he or she teaches. If that is sufficient, the teacher who has been hired will enter the training process, consisting of one or more trial lessons in which an actual lesson is simulated. During the entire period up to the first lesson and after that, the (prospective) teacher is extensively supervised by a quality manager who has several years of teaching experience and has shown superior results. Only tutors who are evaluated by students with an 8.0 average or higher for multiple actual lessons are given a permanent place in our team of tutors. All permanent lecturers take part in an advanced training programme, which focuses on improving teaching fundamentals, such as didactics, pedagogy, interpersonal communication and presentation skills. View our tutor vacancy if you want to be a part of this. Our method At the heart of every course, active learning is the basis. Students are often tempted to (only) make summaries and re-read or highlight textbooks, with the misleading idea that this improves their study results. Based on the available evidence, these study techniques are rated as being low utility learning (Dulonsky et al. 2013). At AthenaStudies, we are constantly analysing the most recent studies and assess student needs in order to find the most effective study methods to ensure the highest grades. It is proven that the most effective study method is retrieving the information out of the brain, instead of putting information into the brain. Spitzer et al. (1939) found that students who did one extra practice test scored about 10-15% better on their exam that students who did not. A more recent study from Butler et al. (2010) suggest an even bigger difference, with an estimated 30%. Hence, practice is key. Karpicke & Blunt (2011) takes this idea one step further and found that a group of students who read a topic four times scored less than students who practiced with the topic only once. Our tech team has created an ideal online environment where our teaching methods can flourish. Every course given by AthenaStudies is interactive and includes a lot of exam level practice material. It gives the students the opportunity to practice during the course and think for themselves. With every course, a summary of the full exam curriculum is provided and sent to the home address of the students. References: Butler, A. C. (2010). Repeated testing produces superior transfer of learning relative to repeated studying. Journal of Experimental Psychology: Learning, Memory, and Cognition, 36(5), 1118. Dunlosky, J., Rawson, K. A., Marsh, E. J., Nathan, M. J., & Willingham, D. T. (2013). Improving students’ learning with effective learning techniques: Promising directions from cognitive and educational psychology. Psychological Science in the Public Interest, 14(1), 4-58. Karpicke, J. D., & Blunt, J. R. (2011). Retrieval practice produces more learning than elaborative studying with concept mapping. Science, 331(6018), 772-775. Spitzer, H. F. (1939). Studies in retention. Journal of Educational Psychology, 30(9), 641.

Online Training Academy

online training academy

About Us Welcome to Training Academy, where learning meets excellence! We are not just a platform; we are your dedicated partner in the knowledge and skill enhancement journey. Our courses are crafted and delivered by industry experts and seasoned educators. You're not just learning; you're gaining insights from the best in the field, ensuring a world-class education at your fingertips. From cutting-edge technologies to timeless skills, we curate content that empowers you to stay ahead in a rapidly evolving world. Join us at Training Academy – where the next generation of learning unfolds. Empower yourself, unlock your potential, and embrace a learning experience like never before. Why Choose Online Training Academy? At Training Academy, we take pride in being the premier destination for online learning, and here's why we stand out from the rest: We understand that life is chaotic, and so is learning. With unlimited access to our courses, students can tailor their learning experience to their own pace and schedule. At Training Academy, education bends to fit your life, not the other way around. Education is dynamic, and so are we. We are committed to continuous improvement, regularly updating our platform with new features, courses, and tools to keep you engaged and motivated. Our Mission Empowering individuals to achieve their full potential through accessible and quality education is our mission's core. Education is the key to personal and professional growth, and we are dedicated to providing the best tools and resources to facilitate that growth. Join Training Academy today and discover the limitless possibilities that education can offer. Your success story starts here!

Pop Up Play Village in and around Cleethorpes

pop up play village in and around cleethorpes

Our aim is to provide a safe and inviting space in which children and their parents can unleash their creativity and let their imaginations go wild. Pop Up Play village is made up of role play areas. We’d call these sets or scenes if we worked in the glamorous worlds of TV or theatre – but sadly we don’t! We have a hospital, vets, baby nursery, supermarket, café, construction site, library, baby play area, art studio and outdoor explorer zone. Each one filled with high quality toys, props and dressing up kits – specially sourced and impeccably clean. What Makes Us Different? We’re often asked whether we’re a playgroup or a drop in toddler play session. Yes, we have toys to play with, things to dress up in and caffeine on tap but our village is about much more than that… Our play sessions have been specially designed by an expert in early years education to help children learn and develop through play. Each of our areas provides them with the tools to develop socially and learn more about themselves, their peers and the world we live in. And whilst this is about education and development, our key priority is having fun. That means fun for everyone. There are no adult wallflowers here. Parents and carers are welcomed into our village and actively encouraged to lose their inhibitions and play together with their children in a way that’s often just not possible at home. And whilst we love our village and all the characters who live in it, we realise it’s good to shake things up a bit from time to time. That’s why we often invite guests to play – dinosaurs, pirates, mermaids, unicorns and dragons – to name a few. We also mark events and the seasons as we pass through the year. Laying The Foundations It was back in 2007 when I started teaching my first ever class that the first foundations of the Play Village were laid. Watching the children in my reception class acting out real-life scenarios in the role play corner, I realised the true value of learning through play. I’d always worked hard to create engaging and realistic areas in which the children could let their imaginations run free. I absolutely loved teaching and gained six fantastic years of experience before having my first child. When my son was 2, I found at weekends it was really hard to find fun, exciting places to take him. It was on one cold, dreary Sunday afternoon in February that the idea of running pop up role play events came into my head along with the name Pop Up Play Village! I thought about it for many months after this vision and it wasn’t until after my daughter was born in June 2016 that I decided it was time to go for it by opening up the world of mobile role play to children and their parents in my local area. Of course, Pop Up Play Village didn’t pop up overnight and as with any build, a great deal of research and testing came before. I wanted every element of the village to be the best it could possibly be and so sourcing the right toys and props took time. Safety, durability and play-ability were key and thankfully, as well as many years of teaching experience behind me, I had two excellent testers in the shape of my children – who were inspiration and guinea pig in equal measure! The doors finally opened on Pop Up Play Village in 2017 and we’re proud to say we’ve undergone huge expansion since. We’re now popping up all over Berkshire, Buckinghamshire, Hampshire and Oxfordshire. We run sessions for families and schools, entertain children at weddings and events and host their birthday parties. We’ve already been accredited by the Approved Franchise Association and also have the support of two major high street banks – Lloyds and NatWest. But we’re not sitting back. We’ve got ambitious plans and there’s plenty more to be done if we are to bring the Pop Up Play Village experience to many more families across the country and beyond.

The Diaspora Community Projects (Diaspora)

the diaspora community projects (diaspora)

London

We are pleased to announce that ,The Diaspora Community Projects (Diaspora) is now approved by VTCT Awarding body to deliver Beauty courses. Also proudly announce that we are also approved for Barista Training and Hospitality and Catering Diploma Courses We a BME led community organisation that has been at the forefront of the economic development, training and career advancement of people from local communities with particular focus on employment support for the marginalised communities. Aim to benefit adults and children and their families every year, through live welfare projects on education, healthcare, livelihood and women empowerment, aim to driven in over many remote villages and slums across the world. Education is both the means as well as the end to a better life: the means because it empowers an individual to earn his/her livelihood and the end because it increases one's awareness on a range of issues – from healthcare to appropriate social behaviour to understanding one's rights – and in the process help him/her evolve as a better citizen. We are accredited training providers for a number of job-related skills training programmes including NVQs and apprenticeships. They include Health and Social Care, Business & Administration, Security (SIA) As part of our employment support scheme, we work in partnership with various national and local organisations to offer training and employment opportunities to the local community. This service comes with our bespoke quality one-2-one career advice and support to give the long-term unemployed an opportunity to kick-start their career. Currently, we have on offer a number of training and employment support courses which include Free NVQ levels 2&3 in Health and Social care, Business & Administration, Leadership & Management and Customer Service. On employment opportunities, we are now delivering Security, Cleaning and Health Care recruitment services. Through our very successful training programmes which include work placements, we can guarantee highly trained and motivated staff in cleaning, healthcare Assistants/Support Workers and Security Officers under our new win-win work programme. Under this programme, established businesses get our highly trained and vetted staff from ourselves to work for them. with minimal cost for the labour as well as offering an opportunity to improve living standards of local people. In addition, working with us helps your businesses in contributing to highly valued social responsibility strategies embraced by most national and international organisations. Since 2005, DCP has developed itself as a social enterprise ie engaging in trading activities to support most of its community work. Working as a social enterprise DCP has managed to win confidence within the public and private sector alike and with this we have seen sales increase steadily in the past few years despite the economic down turn that has made many charitable organisations and businesses close. Because of our unique market target as well as our excellence in quality service, many private and public organisations have been able to work with us as we provide a vital link to working with the most vulnerable and marginalised members of the society. At DCP we have our fingers on the pulse of our communities, ready to help transform how they learn, how they find jobs and how they do them, how they access public services and how they develop creativity to make the most of time and effectively contribute to the economy in the UK an abroad. We also specialise in offering a wide range of development and support services to individuals (employed and unemployed) and businesses, (consultancy) both in the private and voluntary sectors. Due to the nature of our business, we work with a team of highly skilled and experienced people –paid and on voluntary basis to provide the best service you can expect in the third sector. We have a clear commitment to diversity and experience achieving a balanced social mix for the youth and adults and partnership with key stakeholders like the Department of Work & Pension (DWP) , Job centre Plus, local colleges and schools. When it comes to recruiting quality staff and trainees, our success is partly due to our approach to embedding IAG and skills development throughout our programmes combined with 1-2-1 personal support and continuing counselling, mentoring, coaching and inspiration. Together with our associated partners in the UK, DCP is continually testing and pioneering new ideas in different development spheres such as training/assessment, regeneratio

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