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453 Accounting courses in Leominster delivered Live Online

Compliance Officer For Legal Practice (COLP) Course

By DG Legal

The COLP role goes beyond just ensuring your firm follows the rules in the SRA Standards and Regulations, it also comes with a personal accountability factor that demands your attention. Fear not! This 3 hour course will usher you through the intricacies of being a COLP, ensuring you not only meet but excel in your regulatory obligations.  The course will cover: Navigating the Regulatory Landscape: Understanding the Framework for COLPs Dive into the intricate regulatory framework that Compliance Officers for Legal Practice (COLPs) operate under. Shouldering the Responsibility: Unpacking the Duties of a COLP Explore the multifaceted responsibilities that come with the role of a COLP. Choosing the Right Leader: Identifying the Ideal COLP Candidate Learn the criteria for selecting the most suitable individual to take on the crucial role of COLP. Cracking the Codes: Key Elements of Codes and SRA Principles Delve into the essential components of the Codes and SRA Principles that form the backbone of legal compliance. Building a Robust Foundation: Understanding Compliance Systems for All Firms Explore the concept of compliance systems, what they entail, and why every firm should have one in place. Reporting Matters: Recognising 'Serious' Issues, SRA Enforcement Strategy, and Reporting Protocols Uncover the definition of 'serious' matters, grasp the SRA Enforcement Strategy, and gain practical insights on making effective reports to the SRA. Paper Trails Matter: Effective Record Keeping, Including Non-material Breaches Master the art of comprehensive record-keeping, including strategies for recording non-material breaches, and understand why it's integral to compliance. Personal Liability: Understanding and Mitigating Risks Navigate the landscape of personal liability for COLPs and develop strategies to mitigate associated risks. Staying Ahead: Keeping Abreast of Regulatory Changes and Guidance Develop effective strategies for staying up to date with dynamic regulatory changes and evolving guidance. Planning for Compliance: Crafting a Robust Strategy, Assessing Risk, and File Reviewing Formulate a comprehensive plan for tackling compliance, including risk assessment, maintaining risk registers, and implementing effective file reviewing. Across the Board: Legal and Regulatory Compliance Areas Every COLP Must Master Gain a high-level overview of crucial legal and regulatory compliance areas, including AML, transparency rules, and other pivotal aspects that demand the attention of all COLPs. Target Audience This online course is suitable for those new to the COLP role, or those supporting the COLP and for those that would like a refresher of the role and their responsibilities. 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).

Compliance Officer For Legal Practice (COLP) Course
Delivered Online + more
£135 to £180

Advance Accounting Techniques

5.0(10)

By GBA Corporate

Overview Accounting is the methodical approach of updating and keeping track of all the required information related to financial transactions. This course is designed to gain knowledge of how to interpret and analyse financial statements effectively. This course will emphasize in-depth knowledge of financial reporting elements used in Advance Accounting highlighting transactions recognizing, differentiating and efficiently recording information.  Advanced Accounting Techniques course covers difficult complex accounting topics like forecasting, hedging, data aggregation, interval accounting, segment reporting and many more including deeply understanding the financial statement Advanced accounting techniques were developed to provide information appropriate for decision-making in changing internal and external environments. 

Advance Accounting Techniques
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,626

SRA Accounts Rules: A Practical Guide

By DG Legal

This online course is suitable for those who are familiar with the accounts rules, such as COFA’s and legal cashiers, but wish to expand their technical knowledge on the day to day application of them.  This course will reflect on the 2019 rule changes and where firms might have gone wrong in implementing these. It will also consider what ‘good’ systems, policies and procedures look like as well as providing you with tools to evaluate if your interest policy is ‘fair and reasonable’ and practical scenarios to identify banking facilities. Target Audience This online course is suitable for COFAs, those supporting the COFA, legal cashiers and for those that wish to expand their technical knowledge on the day to day application of the SRA accounts rules. Resources An information pack including the course slides will be provided to all delegates, which may be useful for ongoing reference. Please note a recording of the course will not be made available. Speaker Sarah Charlton, Consultant, DG Legal Sarah has a BSc (Hons) in Applied Accounting and is a Fellow member of the Association of Chartered and Certified Accountants. Her career spans over 35 years working within the legal sector, fulfilling roles from COFA through to CEO. During her career she has worked with a number of legal regulators, professional bodies and government organisations. Sarah has been a member of the Institute of Legal Finance and Management throughout her career, qualifying as a Fellow member in 2005. Sarah also served as chairperson between 2010-2012 and continues to serve as an Executive Council Member.

SRA Accounts Rules: A Practical Guide
Delivered Online + more
£112.50 to £150

IFRS Accounting for the Oil and Gas Sector

By EnergyEdge - Training for a Sustainable Energy Future

Gain expertise in IFRS accounting for the oil and gas sector with our industry-focused training course. Enroll today with EnergyEdge.

IFRS Accounting for the Oil and Gas Sector
Delivered in Internationally or OnlineFlexible Dates
£2,299 to £2,399

Financial Accounting and Reporting

5.0(10)

By GBA Corporate

Overview Financial Accounting and reporting play a very important role within the organization and its stakeholders. This course is designed to analyze the functions of financial reporting in communication and its effects on decision-making processes or managerial decisions. It will highlight the accounting and financial standards-setting process and its implication on the organization globally. Financial accounting and reporting discuss how accountants act as processors and purveyors of information for decision-making and the needs of those who use accounting information. It also looks at the role performed by accountants and notes the need to be aware of relevant regulatory and conceptual frameworks. 

Financial Accounting and Reporting
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,626

Accounting Skills

By Nexus Human

Duration 1 Days 6 CPD hours Overview You will spend the first part of the day getting to know participants and discussing what will take place during the workshop. Students will also have an opportunity to identify their personal learning objectives. Many of us flinch when we hear terms like depreciation, cash flow, balance sheet, and (worst of all!) budgets. However, these are all important concepts to understand if you?re going to succeed in today?s business world, particularly as a supervisor. Even better, financial terms are not as scary as they seem. 1 - Getting the Facts Straight The first session will go over basic financial terms Explore their role in company finances Governing organizations in their area. 2 - The Accounting Cycle Four phases of the accounting cycle Key concepts: cash vs. accrual methods 3 - The Key Reports Take a close look at balance sheets and income statements Review cash flow statements and statements of retained earnings 4 - Keeping Score Explain the chart of accounts and single vs. double entry accounting. 5 - A Review of Financial Terms Introduction to some additional financial terms. 6 - Understanding Debits and Credits De-mystify accounting terms: debits and credits. 7 - Your Financial Analysis Toolbox Sources for financial data Tips on weeding out useless information Calculate common ratios Read an annual report, and some useful decision-making tools. 8 - Identifying High and Low Risk Companies Guidelines for identifying high and low risk companies. 9 - The Basics of Budgeting What is a budget? How a budget fits into the big picture The budgeting process 10 - Working Smarter Basic checklist of computer skills required for success How to choose an accounting package 11 - People and Numbers Dealing with finances Expense Reports Making cuts to someone?s pay? Provide tips on what to do. Additional course details: Nexus Humans Accounting Essentials training program is a workshop that presents an invigorating mix of sessions, lessons, and masterclasses meticulously crafted to propel your learning expedition forward. This immersive bootcamp-style experience boasts interactive lectures, hands-on labs, and collaborative hackathons, all strategically designed to fortify fundamental concepts. Guided by seasoned coaches, each session offers priceless insights and practical skills crucial for honing your expertise. Whether you're stepping into the realm of professional skills or a seasoned professional, this comprehensive course ensures you're equipped with the knowledge and prowess necessary for success. While we feel this is the best course for the Accounting Essentials course and one of our Top 10 we encourage you to read the course outline to make sure it is the right content for you. Additionally, private sessions, closed classes or dedicated events are available both live online and at our training centres in Dublin and London, as well as at your offices anywhere in the UK, Ireland or across EMEA.

Accounting Skills
Delivered OnlineFlexible Dates
£395

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

Forensic Accounting for Frauds

5.0(10)

By GBA Corporate

Overview Corporate frauds have the inherent power to bring large organizations to their knees, cause huge monetary loss, prompt lawsuits followed by significant legal expenses, lead to the imprisonment of employees and deteriorate confidence in the market, governments, and institutions. In response, corporations and governments across the globe have stepped up their effort to inspect, prevent and penalize fraudulent practices; resulting in a greater emphasis on the domains of forensic auditing and accounting in the current economy. This training course will empower you to recognize the root causes of fraud and white-collar crime in the current economy, understand the categories of fraud, equip you with methodologies of fraud detection and prevention, and heighten your ability to detect potential fraudulent situations. In addition to the fundamentals of fraud investigation and detection in a digital environment; profit-loss evaluation, analysis of accounting books, legal concepts, and quantification of financial damages are also examined in this course

Forensic Accounting for Frauds
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,626

FORENSIC ACCOUNTING AND AUDITING

5.0(10)

By GBA Corporate

Overview This training course will empower you to recognize the root causes of fraud and white-collar crime in the current economy, understand the categories of fraud, equip you with methodologies of fraud detection and prevention, and heighten your ability to detect potential fraudulent situations. In addition to the fundamentals of fraud investigation and detection in a digital environment; profit-loss evaluation, analysis of accounting books, legal concepts, and quantification of financial damages are also examined in this course

FORENSIC ACCOUNTING AND AUDITING
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,779

International Oil and Gas Accounting and Financial Management

5.0(10)

By GBA Corporate

Overview This five-day workshop provides a detailed review of significant IFRS requirements for the upstream oil and gas sector, including regulatory reporting and the diverse accounting practices that arise from the many commercial and contracting arrangements which are unique to it. It includes coverage of IFRSs, hands-on case studies, examples, exercises, and benefits from the interactive participation of the attendees. The program includes the latest pronouncements, and participants are brought up-to-date on all topics. In addition, participants are provided with information to assist them in researching accounting issues and monitoring future changes.

International Oil and Gas Accounting and Financial Management
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,779

Educators matching "Accounting"

Show all 7
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