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5522 Leadership courses in Leominster delivered Online

Better Business Cases Foundation and Practitioner

By IIL Europe Ltd

Better Business Cases™ Foundation and Practitioner Using this best-practice approach will allow organizations to reduce unnecessary spending and improve the decision-making process which gives you a greater chance of securing necessary funding and support for initiatives. The goal of the combined foundation and practitioner course is to develop a candidate's ability to deliver a comprehensive business case through encouraging expanded knowledge to guide the practical application of theoretical foundations. Upon the completion of this course, a candidate will be able to start applying the model to a real business case development project. The outline presented in the course overview will be addressed in the first 2 days, with the Foundation exam conducted on the morning of Day 3. Then the topics will be revisited at a deeper level, for 2 more days, with the Practitioner exam conducted on the afternoon of Day 5. What you will Learn At the end of this program, you will be able to: Develop the lifecycle of a business case and establish the relationships between the five cases Apply the steps in the business case development framework, in order to support the production of a business case, using the Five Case Model, for a given scenario. Overview of Better Business Cases Alignment with the strategic planning process Importance of the Business Case using the Five Case Model Overview of the Five Case Model Purpose of the key stages in the development of a spending proposal Purpose of a Business Justification Case Business Case Development Process Purpose of project / programme assurance and assurance reviews Responsibility for producing the Business Case Determining the Strategic Context and Undertaking the Strategic Assessment Scoping the Scheme and Preparing the Strategic Outline Case Planning the Scheme and Preparing the Outline Business Case Procuring the Solution and Preparing the Full Business Case Implementation and monitoring Evaluation and feedback Making the Case for Change Agree on the strategic context Determine spending objectives, existing arrangements, and business needs Determine potential business scope and key service requirements Determine benefits, risks, constraints, and dependencies Exploring the Preferred Way Forward Agree on critical success factors Determine long list options and SWOT analysis Recommend a preferred way forward Determining Potential Value for Money Revisit the short list Prepare the economic appraisal for short-listed options Undertake benefits appraisal Undertake risk appraisal Select preferred option and undertake sensitivity analysis Preparing for the Potential Deal Determine the procurement strategy Determine service streams and required outputs Outline potential risk apportionment Outline potential payment mechanisms Ascertain contractual issues and accountancy treatment Ascertaining Affordability and Funding Requirement Prepare the financial model Prepare the financial appraisals Planning for Successful Delivery Plan programme / project management Plan change and contract management Plan benefits realization Plan risk management Plan programme / project assurance and post-project evaluation Procuring the Value for Money Solution Revisit the case for change Revisit the OBC options Detail procurement process and evaluation of best and final offers (BAFOs) Contracting for the Deal Set out the negotiated deal and contractual arrangements Set out the financial implications of the deal Ensuring Successful Delivery Finalize project management arrangements and plans Finalize change management arrangements and plans Finalize benefits realization arrangements and plans Finalize risk management arrangements and plans Finalize contract management arrangements and plans Finalize post-project evaluation arrangements and plans

Better Business Cases Foundation and Practitioner
Delivered OnlineFlexible Dates
Price on Enquiry

Be on the Inside: Decode the Jargon of Project Management

By OnlinePMCourses

Understand the Terminology of Modern Project Management with this Handy Guide and Glossary

Be on the Inside: Decode the Jargon of Project Management
Delivered Online On Demand
FREE

Online Options

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Anti-Money Laundering (AML) Training For MLROs, MLCOs And Law Firm Management Course

By DG Legal

In January 2024 alone, reports were published about the SRA taking enforcement action against 3 firms and 4 individuals for failure to comply with the Money Laundering Regulations 2017. The fines issued for these non-compliances total over £570,000 plus costs. The absence of staff training, or requirement to complete additional training, was noted in a number of these cases. As a manager of a law firm, or more crucially an MLRO or MLCO, the ultimate responsibility for the firm's compliance, including with the MLR 2017, lies with you. It is your responsibility to ensure that the firm puts in place, reviews and updates compliant policies, controls and procedures. You must ensure that the firm maintains an up to date practice wide risk assessment. You are required to ensure that your employees are regularly given training on the MLR 2017 and associated risks. If a breach occurs, the SRA will take a wider look at the firm and identify any supervisory deficiencies that may have contributed to failures by fee earners or support staff. It has proven that it will not shy away from holding to account managers, compliance officers and MLRO/MLCOs for failures by their firms to comply with requirements of the MLR 2017. This course will cover the following to assist firms MLROs, MLCOs and Management with fulfilling their AML management responsibilities: How to comply with your obligations and stay compliant FWRA – linked with PCPs Mandatory AML Policies and Procedures - SRA have concerns Training and supervising staff Audits SRA requirements Reporting SARS POCA/TA Fulfilling reporting officer and compliance officer duties Target Audience The online course is suitable for MLROs, MLCOs, firm management and those supporting these roles. Resources Comprehensive and up to date course notes will be provided to all delegates which may be useful for ongoing reference or cascade training. Please note a recording of the course will not be made available. Speaker Helen Torresi, Consultant, DG Legal Helen is a qualified solicitor with a diverse professional background spanning leadership roles in both the legal and tech/corporate sectors. Throughout her career, she has held key positions such as COLP, HOLP, MLCO, MLRO and DPO for law firms and various regulated businesses and services. Helen’s specialised areas encompass AML, complaint and firm negligence handling, DPA compliance, file review and auditing, law management, and operational effectiveness in law firms, particularly in conveyancing (CQS).

Anti-Money Laundering (AML) Training For MLROs, MLCOs And Law Firm Management Course
Delivered Online + more
£135 to £180

The Goddess Hour

5.0(5)

By This Divine Life

A beautiful hour of connection, guidance and fun! Join together with other like minded women, to feel held supported and seen.

The Goddess Hour
Delivered Online + more
£15

Winter Series 2025 - Organisation & Relationship Systems Coaching Training

By CRR UK

CRRUK equips professionals with the concepts, skills and tools to build conscious, intentional relationships, and to coach relationship systems of any size.

Winter Series 2025 - Organisation & Relationship Systems Coaching Training
Delivered Online + more
£4,920

Taking on the role of Mental Health and Wellbeing Governor

By Brightcore Consultancy

This expert-led training course will provide you with a comprehensive understanding of the role of the designated governor for mental health and wellbeing.

Taking on the role of Mental Health and Wellbeing Governor
Delivered Online
£80

Navigating Difficult Conversations: Turn Tension Into Progress™

4.9(8)

By Noble Foods

What important conversations are your team members avoiding? Side-stepping difficult conversations can trap a team in unresolved problems, strained relationships, and missed chances for growth, which blocks progress and cultivates a lack of trust. But many people avoid difficult conversations or handle them poorly because they’re afraid to address uncomfortable issues and feel unprepared to respond to the emotional reactions that inevitably arise. Navigating Difficult Conversations: Turn Tension Into Progress takes a targeted approach to helping people to manage emotional tension and conduct conversations in a way that enables all parties to stay engaged in collaborative dialogue. Participants will shift their mindset from fearing and avoiding difficult conversations to seeing them as the way to make progress on important issues. And they’ll develop the skills to build trust and respect in every relationship as they navigate sensitive topics. Who Should Attend? This programme is for anyone who finds the thought if having a challenging or difficult conversation, something to be very nervous of, even to the point of avoiding the issue. We recommend that participants have first attended our Aspire programmes, Management Essentials and Performance Coaching, as they provide a strong foundation to the topic, which this session then builds upon. In Navigating Difficult Conversations participants will discover how to balance Courage and Consideration throughout the conversation by: Sharing their Purpose—the issue they need to make progress on—and Positive Intent—how they want the other person to benefit from the conversation Responding to emotional reactions using the skills: Pause, Don’t Panic Observe, Don’t Judge Ask, Don’t Assume Outcomes This module will help participants: Create a strong foundation for difficult conversations by setting a clear and collaborative tone that balances their own and others’ needs. Understand that emotional reactions are a natural, human response—and notice them as a signal that the conversation needs an adjustment to stay on track. Practice a range of tactics to respond in the moment to help everyone stay engaged and make progress.

Navigating Difficult Conversations: Turn Tension Into Progress™
Delivered in Lincoln or Online + more
FREE

LEADERSHIP & MANAGEMENT DEVELOPMENT

5.0(4)

By Improving Communications Uk

Communication is the essence of leadership. This programme is the flagship of our leadership courses, focusing on creating a culture of positive interaction and clear, respectful exchanges whilst maintaining high-performance productivity, ownership, and innovation. Prior to the learning session, delegates complete the TruTalent™ Learning & Productivity (TTL & P), a 20-minute online survey assessing individual productivity preferences and learning styles. This assessment identifies work and learning preferences across 4 styles and 12 environmental and mindset preferences. These elements significantly influence how individuals achieve and perform in work-based learning environments. They also affect how people concentrate, make decisions, solve problems, process information, approach and complete tasks, retain new and complex information, develop new skills, and interact with others. Throughout the course, delegates will learn how to: Utilise the TruTalent™ Learning & Productivity assessment to increase productivity and maximise performance Set meaningful professional goals and celebrate success for incremental progress towards achievement Inspire innovation within teams to increase ownership and accountability Empower employees and increase engagement through effective, positive feedback Focus on positivity, setting an example for others that the organisation embraces a "yes" and solutions-oriented approach Improve spoken and written communications, creating an authoritative image of expertise This Leadership Skills course is a 4-hour interactive virtual class. Upon registration, delegates will receive online login instructions prior to the class date. This format allows for a collaborative learning experience from the comfort of one's own home or office, enabling leaders to enhance their skills and drive organisational success.

LEADERSHIP & MANAGEMENT DEVELOPMENT
Delivered Online + more
£327

DEI Masterclass - Bringing The DEI Playbook To Life!

By Starling

This one day masterclass is designed to provide a practical application of the content that is covered within The DEI Playbook and is aimed at anyone tasked with launching and implementing diversity and inclusion within their organisation.

DEI Masterclass - Bringing The DEI Playbook To Life!
Delivered in London + 1 more or Online + more
£495

Annual Safeguarding Update for Governors: Understanding the Latest Developments, Risks and Statutory Requirements

By Brightcore Consultancy

This session will provide a clear update for governors as to the latest developments in terms of risk, updates on statutory guidance and KCSIE requirements from the governance perspective, and an overview of what the safeguarding team should be working on.

Annual Safeguarding Update for Governors: Understanding the Latest Developments, Risks and Statutory Requirements
Delivered Online
£80

Helping people speak up and engage in meetings

5.0(4)

By The Self Leadership Initiative

Design meetings that get people participating

Helping people speak up and engage in meetings
Delivered Online
£10

Applied Strategic Healthcare Leadership

By HFX Training

Applied Strategic Healthcare Leadership Course An ACHE-Accredited Executive Program | $1,200 USD Sharpen Your Strategic and Financial Leadership in Healthcare This highly interactive program is designed exclusively for executives and fellows of the American College of Healthcare Executives (ACHE) who are ready to elevate their strategic and financial decision-making capabilities through immersive simulation-based learning. Delivered over a series of six engaging Zoom sessions, the Applied Strategic Healthcare Leadership Course equips you with critical tools to drive performance in your healthcare organization while earning 12 ACHE continuing professional education credits. What Makes This Course Unique? Simulation-Based Learning: Leverage the industry-leading Healthcare Hero hospital management simulation, used in top-tier MHA and MBA programs globally. Team-Based Executive Challenge: Work in teams to manage a virtual hospital, facing real-world challenges and dynamic market forces. Experiential Learning: Make executive-level decisions across strategy, operations, and finance in a safe, competitive environment that mirrors the complexities of modern healthcare. Facilitated by Experts: Guided by experienced healthcare and simulation facilitators with deep knowledge of executive leadership and health system strategy. Course Format 6 x 2-hour Zoom sessions (12 contact hours total) The zoom sessions will run weekly from Saturday 11am-1pm Eastern, starting on April 5th Combines strategic and financial management lectures with 8 intensive simulation rounds Practice rounds to build confidence, followed by a competitive live game Final session includes a powerful executive debrief to help you apply insights directly to your organization Key Learning Outcomes By completing this program, you will: ✔ Apply advanced strategy frameworks tailored to healthcare ✔ Strengthen your financial leadership with healthcare-specific KPIs and analysis ✔ Improve team-based executive decision-making under real-world pressure ✔ Learn how to balance mission, margin, and market dynamics ✔ Take home actionable insights to drive performance improvement in your role Who Should Enroll This course is ideal for: ACHE members and fellows seeking executive-level simulation training Healthcare executives responsible for strategy, operations, or finance MHA/MBA graduates looking to sharpen applied skills Leaders preparing for expanded organizational responsibility Program Fee 💲 $1,200 USD (Includes full simulation access, live facilitation, team coaching, and all course materials.) Enroll Now About the Simulation Healthcare Hero is a highly acclaimed hospital management simulation designed to challenge participants with the real-world complexities of running a competitive healthcare system. Trusted by leading universities and executive education programs worldwide. Frequently Asked Questions 1. Who is this course designed for? This program is specifically designed for healthcare executives, ACHE members, and fellows who wish to enhance their strategic, financial, and leadership capabilities through applied learning. It’s also ideal for senior managers preparing for executive roles. 2. How does the Healthcare Hero simulation work? Healthcare Hero is an interactive, web-based hospital management simulation. Working in teams, you will make key decisions across hospital strategy, operations, and finance, while competing against other teams in a dynamic, simulated healthcare market. No prior simulation experience is required—full guidance will be provided. 3. How much time will I need to commit? The program consists of 6 x 2-hour Zoom sessions (12 hours total), spread over several weeks. Between sessions, you may wish to review materials or discuss strategies with your team, but no additional time commitment is required. 4. What topics will be covered? You will explore critical areas such as healthcare strategy, financial management, team leadership, and decision-making under pressure. The course blends applied simulation rounds with lectures on strategic management and financial leadership in healthcare. 5. Will I earn ACHE continuing professional education (CPE) credits? Yes, this program is eligible for 12 ACHE-approved CPE credits, contributing toward your ongoing professional development. 6. Do I need prior experience with simulations? No simulation experience is needed. The first sessions include practice rounds and onboarding to help you get comfortable with the platform and decision-making process. 7. How will teams be formed? Participants will be assigned to teams during the first session to encourage collaboration, peer learning, and networking. Team performance will be key to success in the simulation. 8. What’s included in the course fee? Your $1,200 USD fee includes access to the Healthcare Hero simulation, live facilitation, course materials, team coaching, and participation in all Zoom sessions. 9. Is there a certificate of completion? Yes, participants will receive a certificate of completion after finishing the course and simulation rounds. This can be used to demonstrate CPE credits to ACHE. 10. Can I cancel or transfer my registration? Cancellations are allowed up to 14 days before the course start date for a full refund. Transfers to a future cohort are available subject to availability. Please contact us directly to process cancellations or transfers.

Applied Strategic Healthcare Leadership
Delivered Online
$1,200

Educators matching "Leadership"

Show all 10
Samaras Healthcare Recruitment Ltd

samaras healthcare recruitment ltd

Kington

After working in healthcare, IT and other corporate environments, founders Harsha and Sophia realised they had too many skills and experience between themselves to not set up their own business, after all they were setting up care services for other companies, so why not start our own. If we can make someone else’s business succeed, we knew we can make ours succeed and bring quality and uniqueness as a new start up business from the get go. And this is how it started, Samaras Healthcare Recruitment Ltd was born, through the pandemic.   The founders found a gap in the market from doing social media. Yes we are in fact oldies in the social media world making YouTube, something we never thought we would do as why do people want to sit and watch us!! Harsha & Sophia noticed a gap in the market and everything was pointing to a sign to set this up….with Brexit happening, the pandemic and the health and social care industry in need of support of quality staffing we thought of linking the world together one step at a time; linking overseas workers in the UK with UK clients to try and bring in the quality and cultural aspects of people from all over the world to the world of care. Britain is evolving, with people from all walks of life living and settling in Britain. This also means that our clients are looking for carers from diverse backgrounds.   Samaras Healthcare offers carers to our clients from all types of backgrounds. From British citizens and people who have lived in the UK all their lives, to people from overseas who can bring a bit of difference to our service users lives. They all have one thing in common and something Samaras have built their empire on, which is they are caring and compassionate and are nurtured by Samaras to be the best they can be. Samaras Healthcare Recruitment Ltd, originated from the Directors Surname. As the surname was too long and we did not want it to become a nuisance, we decided to cut this down to half our name, and this is how Samaras was born!!. Samaras Healthcare Recruitment Ltd offers a variety of services with growing ideas all the time. This includes but not limited to:- Support staff to our clients to cover shifts from sickness to long term service Bespoke training to the health and care industry or in leadership & management Overseas cultural training for companies looking to prepare their staff for the working world of the UK e-Learning courses accredited to CPD Youtube content regarding health & social care, business, training & recruitment

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