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83 Investment courses in Leominster

Analysing Return on Investment

5.0(10)

By GBA Corporate

Overview In order to determine if capital investment is beneficial to their organisation, Return on Investment Analysis will provide you with the tools and techniques. This course will teach you the basics of Return on Investment analysis such as estimating future revenues, ongoing expenses, and the initial investment. It will also explore more advanced aspects such as risk, changes in net working capital and the calculation of manufacturing overhead. It then assembles these projected expenses and revenues into a financial - the method experts agree is the best for evaluating capital investments. 

Analysing Return on Investment
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,626

Foreign Exchange, Money Market and Derivatives

5.0(10)

By GBA Corporate

Overview Understanding the Global Foreign Exchange (FX) has become an important part of the financial system. Today many financial institutions and organisations are more focused on enhancing the skills of the management and modification of their source of liquidity, re-organising their funding system and studying the benefits of short-term investment and trading strategies. This diverted focus brought the money market in the limelight thereby giving more opportunities for understanding the different ways of funding, trading and many more investment opportunities. The course is specially designed by the financial experts in FX and Money Market thereby building a strong foundation on the tools and techniques of the FX market and international money market. It gives detailed insight into the financial crisis that happened to take place and what we have learned from that including the development in the FX and Money Market. The course highlights the unified nature of FX, money markets and derivatives and examines the liquidity features and risks of diverse instruments and funding strategies.

Foreign Exchange, Money Market and Derivatives
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,626

SAFe Lean Portfolio Management: In-House Training

By IIL Europe Ltd

SAFe® Lean Portfolio Management: In-House Training Create a culture of innovation, flexibility, and speed where all people in the portfolio can effectively execute as one unified team. In this course, you will gain the practical tools and techniques necessary to implement the Lean Portfolio Management functions of Strategy and Investment Funding, Agile Portfolio Operations, and Lean Governance. You will have the opportunity to capture the current and future state of the portfolio with the Portfolio Canvas tool and identify important business initiatives for achieving the future state. You'll be able to establish portfolio flow with the Portfolio Kanban and prioritize initiatives for maximum economic benefit. The course also provides insights on how to establish Value Stream Budgets and Lean Budget Guardrails and measure the Lean portfolio performance. What you will Learn Describe the importance of LPM Connect the portfolio to enterprise strategy Implement Lean budgeting and guardrails Establish portfolio flow with the Portfolio Kanban Support operational excellence with APMO and CoPs Coordinate Value Streams Measure the LPM performance Build a plan for LPM implementation Introducing Lean Portfolio Management (LPM) Establishing Strategy and Investment Funding Applying Agile Portfolio Operations Applying Lean Governance Implementing the LPM function

SAFe Lean Portfolio Management: In-House Training
Delivered in London or UK Wide or OnlineFlexible Dates
£2,995

UPSTREAM OIL & GAS ASSET MANAGEMENT

5.0(10)

By GBA Corporate

Overview This course highlights Overview of upstream asset management HSE issues and energy project investment analysis Exploration and appraisal well decisions Field development decisions Asset optimization

UPSTREAM OIL & GAS ASSET MANAGEMENT
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,779

Project Economics, Risk and Decision Analysis for Oil & Gas

By EnergyEdge - Training for a Sustainable Energy Future

About this Training Course This 5 full-day training course looks at the setup of economic analysis cases, including the estimation of recoverable reserves, production profiles, commodity prices, and project costs - CAPEX, OPEX, taxes, royalties, transportation, depreciation, before-tax (BTAX) cash-flow, after-tax (ATAX) cash-flow and international fiscal regimes (production sharing agreement and concessionary system). The course begins from the basic required parameters of inflation, interest and time value of money. These concepts are then transformed into profitability indicators. Last but not the least, the profitability indicators are then used to make investment decisions. The emphasis of this course is to bridge the gap between theoretical concepts and their practical limitations. The participants will be able to appreciate the amount of information that they never thought of. Another emphasis of this course is also on the use of Excel's financial functions. This understanding is very critical when it comes to building economic cash-flow models. Over the years, we have seen that participants really struggle with using the Excel functions correctly and this leads to mistakes that can be easily avoided. In each session, multiple choice problems are provided to participants to reinforce their understanding of the concepts covered in the course. Many quick or tips not widely known, are also shared with the participants. The concepts covered in this course are not restricted to downstream, upstream or petrochemical projects. These concepts can be used to evaluate any type of investment under consideration. Participants will require access to computers/laptops with Excel to solve problems during the course. Training Objectives Upon completion of this course, participants will be able to fully understand the gas market dynamics and Investment Evaluation. They will be able to: Learn how to reduce exposure and mitigate risks in projects by handling uncertainty Clarify concepts such as time value of money, cash-flow models, capital budgeting, IRR, NPV, income producing investments Maximise the return on investments through good decision-making processes based on the commercial viability of projects Improve their decision process, investment and opportunity analysis Acquire the hands-on experience in building their own economic evaluation models and solving case study-based examples   Target Audience The following oil & gas company personnel will benefit from the knowledge shared in this course: Facilities and Planning engineers Project and procurement personnel Oil & gas engineers Geologists Financial Analysts Commercial managers Economists Government officials Business advisors Asset managers E&P managers Product and business development personnel   Course Level Basic or Foundation Training Methods     Organisational Impact     Trainer Your expert course leader is a globally recognised subject matter expert in petroleum/project economics and international gas market analysis. He is a recipient of the 2021 Society of Petroleum Engineers (SPE) International Management Award, an award that recognises individuals who make significant technical and professional contributions to the petroleum engineering profession and to the worldwide oil and gas industry. He has 40 years of diversified experience in petroleum engineering, reservoir engineering, project economics and decision analysis. He had been involved in evaluating multi-billion-dollar oil and gas field development, NGL, LNG, GTL, Aluminum smelter, refinery, petrochemical, power and production sharing projects. He has worked with major oil companies such as Saudi Aramco, ZADCO, Qatar Petroleum and companies in USA. He is a registered professional Engineer in the state of Colorado, USA. He is the author of six books: Petroleum Engineering Handbook for the Practicing Engineer, Vol. I and Vol. II, published by PennWell Books, Tulsa, Oklahoma, USA. Project Economics and Decision Analysis, Vol. I and Vol. II, published by PennWell Books, Tulsa, Oklahoma, USA. These books are used as textbooks in universities worldwide to teach petroleum economics to undergraduates and graduate students. Tip & Tricks in Excel based Financial Modeling, Vol. 1 & 2, published by Business Expert Press, New York, USA. He has also authored several papers in the Oil & Gas Journal, The Log Analyst, World Oil, SPE Journals, and Oil & Gas Financial Journal. He has delivered lectures in more than 25 countries around the globe. He has always received excellent feedback, as an expert presenter, from the participants of his courses. Daily daily_agenda     POST TRAINING COACHING SUPPORT (OPTIONAL) To further optimise your learning experience from our courses, we also offer individualized 'One to One' coaching support for 2 hours post training. We can help improve your competence in your chosen area of interest, based on your learning needs and available hours. This is a great opportunity to improve your capability and confidence in a particular area of expertise. It will be delivered over a secure video conference call by one of our senior trainers. They will work with you to create a tailor-made coaching program that will help you achieve your goals faster. Request for further information post training support and fees applicable Accreditions And Affliations

Project Economics, Risk and Decision Analysis for Oil & Gas
Delivered in Internationally or OnlineFlexible Dates
£3,525 to £4,099

Commercial Finance for HR Professionas

5.0(10)

By GBA Corporate

Overview This course would be ideal for HR professionals who are looking to be more financially skilled. You will develop a deep understanding of the key financial concepts that are important in the boardroom. Learn how to break these concepts down to see what they mean for you in your role. Gain a deep understanding of the central areas of finance; how accountants think; how the numbers help you understand performance and set targets; budgeting and forecasting; and investment appraisal. 

Commercial Finance for HR Professionas
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,626

STRATEGIC THINKING AND FEASIBILITY STUDIES FOR BUSINESS PLANNING

5.0(10)

By GBA Corporate

Overview A Strategic thinking and feasibility study is an effective way to safeguard against the wastage of investment or scarce resources. Organisations can reduce the risk of developing unpopular and impractical projects by conducting a feasibility study. A business plan can start only after a proposed business idea has been proven feasible. If feasible, we can proceed with a high level of confidence that the business plan will result in a profitable opportunity. It will provide a “roadmap” that shows how a business may be created and developed.

STRATEGIC THINKING AND FEASIBILITY STUDIES FOR BUSINESS PLANNING
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,626

Battery Energy Storage Systems (BESS) in Electricity Markets and Trading

By EnergyEdge - Training for a Sustainable Energy Future

About this Course Batteries are going to play an increasingly important role in the energy grid. An increasing number of developers are looking to add battery storage systems (BESS) into their existing projects. However future cash flows are highly uncertain and they are often unsure exactly how battery technology can be monetised. A strong revenue model requires stacking of different revenue sources. As the share of variable renewable sources in electricity systems further increase, battery systems are expected to play a growing role by providing frequency control and operational reserves as well as for wholesale arbitrage, while helping reduce grid integration costs. The more volatile electricity prices are, the greater the earning potential of batteries trading electricity on various electricity markets. BESS can generate revenue streams in several different ways; through a frequency response contract with the TSO, by providing grid services in other ways or by arbitrage through buying cheap power and selling power for a higher price in a liquid wholesale market. Because batteries are efficient, the round trip efficiency is also high. They can spread arbitrage trading much better than other storage types and in many cases, other asset classes. For companies that combine a battery with other tasks, for example to store power from their own panels, or to avoid a costly heavy power connection, the investment is less risky than for those that purely focus on arbitrage trading. It is uncertain whether electricity prices will fluctuate more violently in the coming years, or whether the peaks will actually level off. During this highly interactive training, the trainer will provide you with the latest insights and best practices on how to obtain the maximum economic benefits when participating with BESS in the electricity market. Training Objectives By the end of this course, the participants will be able to: Discover the different BESS battery technologies and their impact on the grid Understand the role of storage in providing flexibility to the power system Examine the potential revenue streams from BESS models Learn how profit can generated with BESS trading strategies Determine how to optimize the value from BESS projects Find out how to combine BESS with renewable PPAs Target Audience Professionals and executives from Power Utilities, Energy Companies, Financial & Investment Banks, Renewable Power Project Developers, Transmission System Operators and Energy Industry Regulators will find this training course useful. Electricity Marketing and Traders New Venture or Business Development Executives Corporate Finance and Treasury Executives Audit and Risk Management Executives Power or Utility Market Research Analysts Investment Managers for Renewable Power Projects Origination Professionals Regulation, Compliance and Documentation Officers Lawyers and Accountants Power Transmission and Distributions Engineers Trainer Our key expert is a skilled and accomplished professional with over 25 years' of extensive senior management / board level experience in the energy markets worldwide. Next to advising energy companies, banks, consultants and regulators regarding PPAs, our key expert has also conducted several highly successful training courses about Power Purchase Agreements, Power Project Finance, IPPs, and Project Risk Management to over 1,000 high level participants from Asia, Africa, Europe and Middle East. He was a member of the expert commission of the Dutch Government for 2 offshore wind parks, Hollandse Kust (zuid) Wind Farm Zone Sites 3 and 4 that advised on which of the 5 applicants did provide the best security and solutions associated with the electricity and green certificate prices, the construction and operational risks of the project. POST TRAINING COACHING SUPPORT (OPTIONAL) To further optimise your learning experience from our courses, we also offer individualized 'One to One' coaching support for 2 hours post training. We can help improve your competence in your chosen area of interest, based on your learning needs and available hours. This is a great opportunity to improve your capability and confidence in a particular area of expertise. It will be delivered over a secure video conference call by one of our senior trainers. They will work with you to create a tailor-made coaching program that will help you achieve your goals faster. Request for further information post training support and fees applicable Accreditions And Affliations

Battery Energy Storage Systems (BESS) in Electricity Markets and Trading
Delivered in Internationally or OnlineFlexible Dates
£2,837 to £3,299

Front End Loading in Oil and Gas Projects

By EnergyEdge - Training for a Sustainable Energy Future

About this Training Front End Loading (FEL) is a methodology that takes a deliberate approach to capital project planning. Where traditional project plans seek to help an operator reach production targets and budgets, FEL methodology aligns an operator's technical and business goals to create a more comprehensive development plan. The FEL approach increases project definition and lowers risk to positively impact total investment costs and return on investment. Training Objectives Upon completion of this course, participants will be able to: Learn the methods applied for Pre-FEL and FEL process Understand the importance of FEL, FEL stages; visualisation, conceptualisation, definition Uncover how to apply project management during FEL Determine risk management in the FEL process Understand benchmarking & value improving practices   Target Audience The course is recommended for anyone who wish to gain in-depth knowledge and understanding of the importance of Front-End Loading and how to apply Front End Loading best practices, including: Team Leaders Senior Managers (Line and Function) Project Managers Development Engineers Graduate Engineers Quality Assurance Engineers Key Contractor's Management FEED engineers Design engineers Mechanical engineers Process engineers   Course Level Basic or Foundation Trainer Your expert course leader is a subsea pipeline consultant with extensive experience in the design, construction, and installation of subsea pipelines for the oil and gas industry. As a consultant, he provides technical expertise and support to clients on all aspects of subsea pipeline projects, from the initial planning and design phase through to construction and commissioning. He is knowledgeable about industry standards, regulations, and best practices for subsea pipelines, and works closely with clients to ensure that projects are delivered safely, on time, and within budget. He has over thirty years' experience in early concept and front-end studies for the initiation of numerous high value upstream oil and gas projects worldwide. He has worked for both Operating Companies and Consultants managing the FEL process for complex, multi-discipline and technically challenging concepts, combining both his technical and project management skills. He has been working with companies like ExxonMobil, Quantum Power, North Caspian Operating Company, OMV Petrom, Port Meridian, BG Group, and etc.   POST TRAINING COACHING SUPPORT (OPTIONAL) To further optimise your learning experience from our courses, we also offer individualized 'One to One' coaching support for 2 hours post training. We can help improve your competence in your chosen area of interest, based on your learning needs and available hours. This is a great opportunity to improve your capability and confidence in a particular area of expertise. It will be delivered over a secure video conference call by one of our senior trainers. They will work with you to create a tailor-made coaching program that will help you achieve your goals faster. Request for further information post training support and fees applicable Accreditions And Affliations

Front End Loading in Oil and Gas Projects
Delivered in Internationally or OnlineFlexible Dates
£2,579 to £2,999

Project Accounting and Finance Skills: In-House Training

By IIL Europe Ltd

Project Accounting and Finance Skills: In-House Training Do you manage both project schedules and budgets, but do not have insight into how actual results relate to the approved budget? Do you desire to have more clarity about the relationship between your project's performance with the accounting and financial systems in your organization? Do you need to understand financial and accounting terminology to bridge the gap between the 'world of finance' and the 'world of project management? Organizations have a need to manage-by-projects, because projects are the means to deliver on strategic goals and objectives. Therefore, the project manager must have an understanding of the financial world of investments to ensure the organization will realize expected business value. This requires a foundation in the principles of accounting and finance to comprehend how the project's contribution provides an organization with a competitive advantage. Learn what you must do to give your organization the assurance it needs that its investment in your project will realize business value. Learn what you must do to give your organization the assurance it needs to know that its investment in your project will realize business value. What You Will Learn At the end of this program, you will be able to: Explain the aspects of classical corporate accounting and finance effects on managing projects Determine how your project fits into the corporate income statement, balance sheet, and cash flow statement Analyze the financial aspects of managing projects Use earned value management as the basis for decision making throughout the project life Recognize the importance of the project manager's financial responsibilities Focus on what PMs do and should be doing, in support of accounting and finance Use financial information within a project environment to meet financial results Track and analyze the project's financial status and forecast with the goal of realizing benefits Generate work performance data to ensure a project's outcome aligns with financial metrics Foundation Concepts Accounting and Finance Terms and Concepts Accounting and Finance Essentials Financial Terms and Concepts Projects as Financial Investments Overview of 'Two Worlds' Project as Investments Accounting and Finance World: Standards, Principles and Practices Accounting and Finance Standards and Principles Accounting and Finance Practices Capital Budgeting Corporate Budgeting Accounting and Finance World: Economic Project Selection Methods Economic Project Selection Methods Economic Project Selection and the Business Case Project Management World Project Management and Financial Controls Project Management and Work Performance Data Project Management and Earned Value Management Project Management and Work Performance Reporting

Project Accounting and Finance Skills: In-House Training
Delivered in London or UK Wide or OnlineFlexible Dates
£1,495
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Educators matching "Investment"

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Black's Academy

black's academy

London

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