11249 Educators providing Courses

The Alternative School Group

the alternative school group

London

The Alternative School offers a holistic and flexible full-time school experience that has been designed to respond to the needs of young people who are unable to remain in mainstream education. Our education programmes can each cater for 40-50 pupils at each of our 4 schools, and is designed for those young people, age 4-18 who require a smaller, nurturing and individual approach to their education. Our pupils may have been excluded, at risk of exclusion, previously home educated, children looked after, SEN, High Risk Assessments, YOT orders, Drugs & Alcohol misuse, school phobic, victims of bullying, mental health needs or requiring an assessment placement. We supply the following assessments in order to tailor make what we need to meet the needs of pupils: Dyslexia Screening Education Psychologist reports Speech and Language Boxall Profile CAT Scores Literacy and Numeracy Learning Styles Our open school admissions policy offers any young person who requires some additional support the opportunity of a fresh start and access to personalised education. We are an Ofsted & ISA registered and approved independent school with current Good with Outstanding Leadership and Management Ofsted report. Over the past 10 years we have developed our ethos and approach into a model that delivers a better future for young people, sometimes left behind. If you are a member of the public or a parent/carer and have any other questions or queries, contact TAS founder, Kirsty-Anne Pugh on kirsty@thealternativeschool.co.uk. The Alternative Approach The Alternative School, known as TAS (pronounced TAZ), is a small independent school which specialises in providing an innovative, inspiring and nurturing educational experience and environment for young people who, for a variety of reasons, are disengaged and/or unable to access main stream education. We work closely with a number of local authorities, schools and children’s homes and parents/carers to support young people to become the best they can be, to achieve appropriate qualifications and to make a positive post 16 transition. Established in 2007, TAS achieved a ‘good with outstanding’ Ofsted report in June 2014 and then achieved Independent School Association accredited status in October 2014. In line with the ethos of the Independent Schools Association we work with the whole person aiming to develop each individual via ‘Character Education’, developing character traits such as grit, resilience, ethics, commitment and other soft skills that ISA schools equip pupils with. We have a strong emphasis on Personal and Social Development, British Values, Emotional Literacy and Employability Skills together with the Duke of Edinburgh Award and a variety of extra-curricular and enrichment activities.

Jei

jei

London

Company established in the year 1968, we are engaged in design, manufacturing and supplying optimum quality and high performance low voltage switchgears & instrumentation as Main Power (LT) Panels, Motor control centers, Synchronizing Panels, AMF Panel, Power factor improvement (PFI) Panel, Industrial and customized control desks, Power distribution boards etc. We also offer customized designs and rectifying for our panels to our clients throughout various industries. The CEO of our organization Mr. M. Jamil Mughal is a dynamic personality and having experience of 40 years in the realm of manufacturing quality panels. His able guidance along with efficient team management has helped us in forging a way ahead in terms of development and recognition. Our team work has enabled us in efficient production and service to all our Clients spread nationwide and increase our clients stand. Our credible services and efficiency in manufacturing the electrical panels with utmost dexterity has helped us in ushering new dimensions in the industry. Infrastructure We have in house fabrication setup of metal sheets and enclosures. After fabrication the sheet metal enclosures, chemically degreased, derusted& zinc phosphated against the evolutitive corrosion. The enclosures then finely finished with electrostatic dry polyester power coating to give pleasing appearance & longer protection in harsh atmospheric environment, our products have to pass though strongest Quality tests before leaving our premises. Our electrical fabrication unit comprises of professional team of engineers to fabricate electrical components in panels, which is a part of our state-of-the art infrastructure. Our manufacturing unit is able to meet the demands of our clients in terms of number of panels required and process control instrumentation, keeping a strong view on industrial standards and requirements. The spacious workshop facilities with cutting edge technologies aids in the storing of procured material, electrical panels in abundance. This also helps in the delivery of the manufactured panels in a well-organized manner. Streamlining our manufacturing unit has further helped us take on large scale consignments with efficiency and deliver them within the stipulated time frame. Teamwork We take pride in nurturing proficient and skilled team of professionals skilled in manufacturing varied electrical panels. Our professionals comprises of Engineers, Technicians, Researchers, Quality Auditors, Servicing Engineers, draftsman and Sales & Marketing Professionals. Their dedicated service all through the years has enabled us in gaining the present status and recognized as one of the leading fabricators of industrial/domestic electrical panels. Owing to their deep industrial knowledge and expertise we are able to manufacture the range in varying models as per the client specifications.

EB Centre

eb centre

Mary has a lively curiosity and an appetite for new possibilities. She brings a blend of in-company and external consulting experience to her coaching, facilitation and leadership development work. Her earlier career as a business psychologist and then as a senior leader within a global drinks company gave her insight across a wide range of sectors and geographies and has influenced her in taking a systemic approach with her clients. Her focus is on enabling shifts in leadership behaviour and leadership culture towards a more progressive, balanced leadership approach, and she has co-authored "A Fresh Approach" with her partners in EB Ltd. She has worked within sectors as diverse as the financial sector; media; shipping industry; oil and gas services industry; professional services; food and drink; engineering firms; and telecommunications. Clients describe her as professional and engaging, combining constructive challenge with empathy. LINKEDIN Rosie.jpg Rosie Mayes Rosie is an explorer and translator of ideas, with a flair for developing them into actionable plans and value-adding outcomes. Her work is valued across many sectors and she builds strong relationships and deep understanding of her client's context. A former international athlete, she continues to coach national, Olympic and Paralympic level professionals. With an astute sense of what also creates the conditions for success outside the sporting context, she has been a highly regarded professional in leadership development, coaching and team facilitation for over 25 years, bringing a combination of theoretical rigour, pragmatism and a deep interest in people. She is co-author of "A Fresh Approach". Rosie has worked in Engineering, Construction, Professional Sports Organisations, SMEs, Banking and Finance, Pharmaceutical, Civil Service and Telecommunications. Clients describe her as grounded and reflective, on a constant quest to deepen leadership wisdom and knowledge. LINKEDIN Sue.jpg Dr Sue Congram A highly experienced process consultant, leadership learning facilitator and in-depth coach, Sue brings systemic, progressive and creative thinking to developing leadership, along with a deep understanding of organisational development, systemic and culture change. She has worked in this field for over 30 years. Sue speaks and teaches on leadership, presenting at conferences in the UK and abroad. She completed her PhD in Leadership in 2013, her research is the inspiration behind the core concepts of the EB Centre. As a respected author, she has published books & papers on business psychology, management & leadership, organisational development, diversity, and coaching. Sue has worked with leaders at the most senior levels in Finance & Banking, Energy, IT, Logistics, Communications, Pharmaceuticals and Central Government - nationally and globally. Clients describe her as tenacious and inspirational, with an infectious zest for life.

Readable

readable

London

WE TEACH. Since January 2014, ReadAble has been running weekly reading and language arts classes for children ages 2 to 15 in a neighbourhood in the Chin Swee area. We started out teaching in children’s homes, but have grown to occupy classrooms in the Residents’ Committee Centre. We teach a phonics-based curriculum to our earliest readers and deliver a programme which complements the primary school syllabus for those who have mastered the basics of reading. We use drama, movement and play to draw out a love for reading, build self-confidence, and encourage creativity. WE BUILD. ReadAble has built a community library of over a thousand books for our kids to freely access books at every reading level throughout the week. We also organise educational excursions to plays and museums, as well as connect kids’ families with community resources, such as school supply donations and workshops by professional educators. Through our BookDrop project, we set up conducive study spaces and mini-libraries in kids’ homes. WE MENTOR. Apart from our classes every Saturday, some volunteers run one-on-one classes with children in their homes across the week forming deep relationships with families. We also started a class teaching the predominantly migrant mothers of our students, functional English to navigate life in Singapore. EVERY CHILD LOVED. We believe that children thrive in love. We are committed to forming lasting relationships with them as teachers and mentors. Each child’s progress is closely monitored and classes are tailored to meet their learning styles. We recognise that our children weather challenges such as parental incarceration or family violence, and we strive to support them. EVERY FAMILY PARTNERED. Family support is crucial to a child’s success. We work alongside families to reinforce children's learning at home. We seek to understand our children’s home life and we engage parents with routine updates on their children’s progress. EVERY VOLUNTEER EMPOWERED. ReadAble is entirely volunteer-led and run, and we are serious about equipping our people. We run regular training sessions on topics from phonics to classroom management and how toxic stress affects child development. We constantly refine our methods based on research and best practices. EVERYONE A COMMUNITY. We seek to build an inclusive community that encourages children's diverse aspirations and engages everyone with empathy. We have a flat volunteer structure led by our Co-founders and Core Team who form friendships with children and their families. Together, we work to eradicate social inequality.

Cambridge Supervision Training

cambridge supervision training

Cambridge

Anthea Millar MA, Dip IIP | CST Partner, Course Tutor Anthea is a co-founder of CST, a BACP Senior Accredited Counsellor of 38 years experience, and also a supervisor and counselling & supervision educator. She is a Vice President of the Adlerian Society, a training moderator and assessor, and author of a number of publications including co-author with Penny Henderson and Jim Holloway of Practical Supervision (JKP 2014). As well as her work in the UK, she is on the board and faculty of ICASSI, an international psychology conference, and is regularly invited to provide training abroad, most recently in Germany, USA, Malaysia, and Greece. Picture Kathy Mitchell MSc, Dip | CST Partner, Course Tutor With a background in psychology and as a BACP Accredited Counsellor of almost 20 years experience, Kathy is also an experienced supervisor and trainer. She has a thriving therapy practice and has worked in a supervisory context with experienced and trainee counsellors, and other allied professionals across a variety of settings including Centre 33 and the University of Cambridge Counselling Service. In 2007 she established an in-school counselling service at Chesterton Community College, and as a teacher and trainer she has taught A level Psychology, delivered courses in counselling and presented numerous workshops. Picture Julia Herrick DipIIP | CST Associate Partner, Observed Practice Julia is a BACP Senior Accredited Counsellor and also works as a supervisor and trainer. She has a background in nursing and the NHS, having specialised in substance abuse for over 25 years. She now has an independent practice combining varied client work, supervision and training as well as offering supervision for organisations such as Centre33, Stars and Choices, she has a particular interest in encouraging supervision in fields such as medicine, nursing, teaching, the legal profession and faith leaders . She is a counselling Diploma assessor for ASIIP and has been involved as a visiting tutor for CST since its inception. Picture Jim Holloway BA DipIIP DipH | CST Associate Partner, Supervision of Supervision Jim is a BACP Senior Accredited Supervisor with over 20 years’ experience in counselling, including NHS and local authority EAP contracts. He has worked in various roles for counselling charities in Cambridge and has an independent practice specialising in anger management, and for many years ran personal development groups for men. He joined the Cambridge Supervision Training partnership in 2012 and with CST founders Penny Henderson and Anthea Millar, Jim is a co-author of Practical Supervision (JKP 2014). He currently writes the supervision column in BACP’s Private Practice journal.

College Of Trichological Science & Practice

college of trichological science & practice

North Ferriby

College of Trichological Science and Practice (CTSP) CTSP is the UK's newest and most ambitious trichological training provider. As a not-for-profit company, our mission is simple: to deliver high-quality hair and scalp science education and training that drives sustainable trichological career pathways, fosters sector-wide diversity, and encourages collaboration and inclusion. Designed and developed by leading industry experts, experienced trichologists and education professionals, our range of accredited programmes and short courses are purpose-built to increase the knowledge and understanding of hair science and the management or treatment of hair loss conditions across an array of sectors and specialisms. CTSP accredited Certificate and Diploma programmes are written and assessed at academic levels* 4, 5 and 6. We're delighted to offer the most advanced trichological education and training in the UK. Our specialised programmes of study are mapped and aligned to National Occupational Standards (NOS), delivered and assessed in line with recognised educational best practices and provides foundation to higher level programs of study in Clinical Trichology. Our training and education pathway offers maximum flexibility, allowing you to meet your personal and professional objectives while combining engaging study with the demands of working life. You can enter and exit our pathway at different points, to gain individually accredited, programmes of study, accredited by a regulated external awarding body, designed to help you succeed whatever your next planned career step. Our accredited programmes provide fantastic opportunities to develop or enhance your existing knowledge and skills, particularly in the sectors of hairdressing and barbering, aesthetics, and cosmetic science. For those seeking a career in trichology, CTSP will nurture your ambition, and support your learning journey, whether its your desire to be recognised as a competent trichologist, or to work in any of the many and exciting trichology related sectors. Our new, unique and exciting education and training pathway for Clinical Trichology is purposefully designed to forge a closer alignment between those working in trichological practice and existing allied healthcare professions. This momentous milestone in trichology's rich 100+ year history will ensure trichology is more relevant to societal needs than ever before. *CTSP customised programmes have been developed to meet the specific needs of our learners in the trichological sector. We have benchmarked the learning outcomes and assessment criteria at equivalent levels to the Regulated Qualification Framework (RQF) to identify their academic level and depth of study. Our programmes are accredited and recognised by EduQual who are a regulated awarding body.

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