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3627 Accounting courses in Leominster delivered On Demand

Navigating UK Corporate Tax

By Online Training Academy

Embarking on the "Navigating UK Corporate Tax" course is crucial in today's professional landscape. Understanding corporate tax intricacies is essential as businesses navigate increasingly complex financial environments. This course equips you with vital knowledge on corporate tax returns, income and expenses management, tax reliefs, compliance obligations, and international tax considerations. Mastery of these skills not only enhances your daily decision-making but also boosts career prospects in the UK job market, where demand for tax specialists remains high. Companies value expertise in corporate tax, offering competitive salaries that reflect the specialized knowledge. The advantages of pursuing this course are evident in the sector's growth trajectory, with corporate tax roles expanding by over 15% annually. Stay ahead in your career with the "Navigating UK Corporate Tax" course, ensuring you're prepared for dynamic industry demands and lucrative opportunities. Key Features: CPD Certified Navigating UK Corporate Tax Course Free Certificate from Reed CIQ Approved Navigating UK Corporate Tax Course Developed by Specialist Lifetime Access Course Curriculum Module 01: Introduction to Corporate Tax Return in the UK Module 02: Income and Expenses in Corporate Tax Returns Module 03: Tax Reliefs, Credits, and Special Schemes Module 04: Compliance and Reporting Obligations Module 05: International Tax Considerations Module 06: Tax Investigation and Dispute Resolution Module 07: Emerging Trends and Updates in Corporate Taxation Module 08: Corporate Tax Calculation Learning Outcomes: Analyze UK Corporate Tax Returns for accurate financial reporting and compliance. Apply knowledge of Income and Expenses to optimize corporate tax liabilities. Utilize Tax Reliefs, Credits, and Special Schemes for tax efficiency strategies. Demonstrate understanding of Compliance and Reporting Obligations in corporate tax. Evaluate International Tax Considerations for cross-border business operations and transactions. Navigate Tax Investigation and Dispute Resolution processes effectively and ethically. CPD 10 CPD hours / points Accredited by CPD Quality Standards Navigating UK Corporate Tax 1:54:12 1: Module 01: Introduction to Corporate Tax Return in the UK 17:28 2: Module 02: Income and Expenses in Corporate Tax Returns 14:37 3: Module 03: Tax Reliefs, Credits, and Special Schemes 13:06 4: Module 04: Compliance and Reporting Obligations 13:48 5: Module 05: International Tax Considerations 13:21 6: Module 06: Tax Investigation and Dispute Resolution 14:25 7: Module 07: Emerging Trends and Updates in Corporate Taxation 17:08 8: Module 08: Corporate Tax Calculation 09:19 9: CPD Certificate - Free 01:00 Who is this course for? This Navigating UK Corporate Tax course is accessible to anyone eager to learn more about this topic. Through this course, you'll gain a solid understanding of Navigating UK Corporate Tax. Moreover, this course is ideal for: Tax professionals seeking in-depth knowledge of UK corporate tax regulations. Financial analysts aiming to enhance their corporate tax expertise. Business owners or managers wanting to manage tax obligations proficiently. Accountants interested in staying updated on emerging corporate tax trends. Individuals aspiring to specialize in corporate tax consultancy roles. Requirements There are no requirements needed to enrol into this Navigating UK Corporate Tax course. We welcome individuals from all backgrounds and levels of experience to enrol into this Navigating UK Corporate Tax course. Career path After finishing this Navigating UK Corporate Tax course you will have multiple job opportunities waiting for you. Some of the following Job sectors of Navigating UK Corporate Tax are: Certificates Digital certificate Digital certificate - Included Reed Courses Certificate of Completion Digital certificate - Included Will be downloadable when all lectures have been completed.

Navigating UK Corporate Tax
Delivered Online On Demand1 hour 54 minutes
£12

UK Property Law, VAT and Taxation

By Online Training Academy

Unlock the complexities of property law and taxation in the UK with our comprehensive course. Whether you're a legal professional, accountant, or property enthusiast, this program delves into crucial aspects that shape the industry today. Key Features: CPD Certified Free Certificate from Reed CIQ Approved Developed by Specialist Lifetime Access In the "UK Property Law, VAT, and Taxation" course, learners will gain comprehensive knowledge about the legal aspects and financial considerations involved in UK property transactions. They will understand how the UK property market operates and how ownership and possession of properties are legally managed. The course covers co-ownership arrangements, detailing the rights and responsibilities of joint property owners. Learners will also explore the practical applications of property law, learning about legal procedures and practices essential in real estate transactions. Additionally, the course delves into property taxation, focusing on capital gains tax and VAT implications specific to properties. This knowledge equips learners with insights crucial for accountants and lawyers dealing with property-related taxation issues, providing practical tips to navigate and optimize tax strategies within legal frameworks. Course Curriculum Module 01: Changes in the UK Property Market Module 02: Ownership and Possession of the Property Module 03: Co-Ownership in Property Module 04: The Property Law and Practice Module 05: Property Taxation on Capital Gains Module 06: VAT on Property Taxation Module 07: Property Taxation Tips for Accountants and Lawyers Learning Outcomes: Understand recent UK Property Market changes affecting legal practices. Identify legal principles governing Ownership and Possession in property transactions. Analyze the concept of Co-Ownership and its implications in property law. Apply Property Law principles to real-life scenarios in practice. Evaluate the impact of Capital Gains Tax on property transactions. Explain the application of VAT in property transactions for taxation purposes. CPD 10 CPD hours / points Accredited by CPD Quality Standards UK Property Law, VAT and Taxation 1:21:29 1: Module 01: Changes in the UK Property Market 11:00 2: Module 02: Ownership and Possession of the Property 10:24 3: Module 03: Co-Ownership in Property 11:04 4: Module 04: The Property Law and Practice 15:15 5: Module 05: Property Taxation on Capital Gains 13:05 6: Module 06: VAT on Property Taxation 07:34 7: Module 07: Property Taxation Tips for Accountants and Lawyers 12:07 8: CPD Certificate - Free 01:00 Who is this course for? Law students interested in property law. Accountants specializing in property taxation. Legal professionals seeking property law expertise. Tax advisors focusing on property transactions. Real estate agents needing legal knowledge. Career path Property Lawyer Tax Consultant Real Estate Solicitor Accountant specializing in property tax Legal Advisor in property transactions Certificates Digital certificate Digital certificate - Included Reed Courses Certificate of Completion Digital certificate - Included Will be downloadable when all lectures have been completed.

UK Property Law, VAT and Taxation
Delivered Online On Demand2 minutes
£12

UK Property Law, VAT and Taxation

By Online Training Academy

Unlock the complexities of property law and taxation in the UK with our comprehensive course. Whether you're a legal professional, accountant, or property enthusiast, this program delves into crucial aspects that shape the industry today. Key Features: CPD Certified Free Certificate from Reed CIQ Approved Developed by Specialist Lifetime Access In the "UK Property Law, VAT, and Taxation" course, learners will gain comprehensive knowledge about the legal aspects and financial considerations involved in UK property transactions. They will understand how the UK property market operates and how ownership and possession of properties are legally managed. The course covers co-ownership arrangements, detailing the rights and responsibilities of joint property owners. Learners will also explore the practical applications of property law, learning about legal procedures and practices essential in real estate transactions. Additionally, the course delves into property taxation, focusing on capital gains tax and VAT implications specific to properties. This knowledge equips learners with insights crucial for accountants and lawyers dealing with property-related taxation issues, providing practical tips to navigate and optimize tax strategies within legal frameworks. Course Curriculum Module 01: Changes in the UK Property Market Module 02: Ownership and Possession of the Property Module 03: Co-Ownership in Property Module 04: The Property Law and Practice Module 05: Property Taxation on Capital Gains Module 06: VAT on Property Taxation Module 07: Property Taxation Tips for Accountants and Lawyers Learning Outcomes: Understand recent UK Property Market changes affecting legal practices. Identify legal principles governing Ownership and Possession in property transactions. Analyze the concept of Co-Ownership and its implications in property law. Apply Property Law principles to real-life scenarios in practice. Evaluate the impact of Capital Gains Tax on property transactions. Explain the application of VAT in property transactions for taxation purposes. CPD 10 CPD hours / points Accredited by CPD Quality Standards UK Property Law, VAT and Taxation 1:21:29 1: Module 01: Changes in the UK Property Market 11:00 2: Module 02: Ownership and Possession of the Property 10:24 3: Module 03: Co-Ownership in Property 11:04 4: Module 04: The Property Law and Practice 15:15 5: Module 05: Property Taxation on Capital Gains 13:05 6: Module 06: VAT on Property Taxation 07:34 7: Module 07: Property Taxation Tips for Accountants and Lawyers 12:07 8: CPD Certificate - Free 01:00 Who is this course for? Law students interested in property law. Accountants specializing in property taxation. Legal professionals seeking property law expertise. Tax advisors focusing on property transactions. Real estate agents needing legal knowledge. Career path Property Lawyer Tax Consultant Real Estate Solicitor Accountant specializing in property tax Legal Advisor in property transactions Certificates Digital certificate Digital certificate - Included Reed Courses Certificate of Completion Digital certificate - Included Will be downloadable when all lectures have been completed.

UK Property Law, VAT and Taxation
Delivered Online On Demand1 hour 24 minutes
£12

UK Property Law, VAT and Taxation

By Online Training Academy

Unlock the complexities of property law and taxation in the UK with our comprehensive course. Whether you're a legal professional, accountant, or property enthusiast, this program delves into crucial aspects that shape the industry today. Key Features: CPD Certified Free Certificate from Reed CIQ Approved Developed by Specialist Lifetime Access In the "UK Property Law, VAT, and Taxation" course, learners will gain comprehensive knowledge about the legal aspects and financial considerations involved in UK property transactions. They will understand how the UK property market operates and how ownership and possession of properties are legally managed. The course covers co-ownership arrangements, detailing the rights and responsibilities of joint property owners. Learners will also explore the practical applications of property law, learning about legal procedures and practices essential in real estate transactions. Additionally, the course delves into property taxation, focusing on capital gains tax and VAT implications specific to properties. This knowledge equips learners with insights crucial for accountants and lawyers dealing with property-related taxation issues, providing practical tips to navigate and optimize tax strategies within legal frameworks. Course Curriculum Module 01: Changes in the UK Property Market Module 02: Ownership and Possession of the Property Module 03: Co-Ownership in Property Module 04: The Property Law and Practice Module 05: Property Taxation on Capital Gains Module 06: VAT on Property Taxation Module 07: Property Taxation Tips for Accountants and Lawyers Learning Outcomes: Understand recent UK Property Market changes affecting legal practices. Identify legal principles governing Ownership and Possession in property transactions. Analyze the concept of Co-Ownership and its implications in property law. Apply Property Law principles to real-life scenarios in practice. Evaluate the impact of Capital Gains Tax on property transactions. Explain the application of VAT in property transactions for taxation purposes. CPD 10 CPD hours / points Accredited by CPD Quality Standards UK Property Law, VAT and Taxation 1:21:29 1: Module 01: Changes in the UK Property Market 11:00 2: Module 02: Ownership and Possession of the Property 10:24 3: Module 03: Co-Ownership in Property 11:04 4: Module 04: The Property Law and Practice 15:15 5: Module 05: Property Taxation on Capital Gains 13:05 6: Module 06: VAT on Property Taxation 07:34 7: Module 07: Property Taxation Tips for Accountants and Lawyers 12:07 8: CPD Certificate - Free 01:00 Who is this course for? Law students interested in property law. Accountants specializing in property taxation. Legal professionals seeking property law expertise. Tax advisors focusing on property transactions. Real estate agents needing legal knowledge. Career path Property Lawyer Tax Consultant Real Estate Solicitor Accountant specializing in property tax Legal Advisor in property transactions Certificates Digital certificate Digital certificate - Included Reed Courses Certificate of Completion Digital certificate - Included Will be downloadable when all lectures have been completed.

UK Property Law, VAT and Taxation
Delivered Online On Demand1 hour 24 minutes
£12

Forensic Science Level 3 Diploma

By EduXpress

In a world where forensic science is increasingly pivotal, our Forensic Science course emerges as a beacon of learning. In the UK, where criminal detection rates have surged by 20% due to advanced forensic techniques, this course stands as a testament to the power of scientific investigation. It delves into the intricate world of crime scene analysis, offering an immersive journey into forensic methodologies. This course not only educates but also captivates, blending theory with real-world applications. With a curriculum designed to unveil the mysteries behind evidence analysis, it promises to transform students into forensic connoisseurs. The course's unique blend of scientific rigour and investigative prowess prepares learners for a rapidly evolving landscape where science meets justice. Learning Outcomes: Master the fundamentals of forensic science and evidence analysis. Understand the legal framework surrounding forensic investigations. Develop skills in interpreting forensic data accurately. Learn cutting-edge techniques in crime scene examination. Acquire knowledge in forensic biology and chemistry. Gain insight into the role of technology in forensic science. Enhance critical thinking for solving complex cases. Cultivate ethical awareness in forensic investigations. Who Is This Course For? Aspiring forensic scientists seeking foundational knowledge. Law enforcement personnel wishing to expand investigative skills. Legal professionals aiming to understand forensic evidence better. Science graduates interested in a forensic career. Individuals passionate about pursuing justice through science. Why Choose Us? Lifetime access to course materials Full tutor support is available Monday through Friday for all courses Learn essentials skills at your own pace from the comfort of your home Gain a thorough understanding of the course Access informative video modules taught by expert instructors 24/7 assistance and advice available through email and live chat Study the course on your computer, tablet, or mobile device Improve your chances of gaining professional skills and earning potential by completing the course. Why should you study this course? The course offers a comprehensive introduction to the subject matter and provides a solid foundation for further study. It will also help students to gain knowledge and skills that can be applied in their professional or personal life. Assessment The course includes a series of quizzes that will test your understanding and retention of the material covered in the course. The quizzes will help you to identify areas where you may need further practice, and you will have the opportunity to review the course materials as needed. Upon successfully passing the final quiz, you will be able to order your certificate of achievement. Career Path: Forensic Scientist: £25,000 - £45,000 Crime Scene Investigator: £20,000 - £35,000 Forensic Analyst: £24,000 - £40,000 Forensic Toxicologist: £30,000 - £50,000 Forensic Psychologist: £31,000 - £52,000 Forensic Pathologist: £45,000 - £85,000 Course Content Forensic Science Level 3 Diploma Module 1: Introduction to Forensic Science Module 2: Forensic Biology Module 3: Forensic Chemistry Module 4: Forensic Physics Module 5: Digital and Multimedia Forensics Module 6: Forensic Pathology and Anthropology Module 7: Forensic Psychology and Psychiatry Module 8: Crime Scene Management and Reconstruction Module 9: Legal Aspects of Forensic Science Module 10: Emerging Techniques in Forensic Science

Forensic Science Level 3 Diploma
Delivered Online On Demand
£10.49

Behavioural Finance

5.0(1)

By LearnDrive UK

Delve into the fascinating world of Behavioral Finance with this comprehensive course. Learn how cognitive biases and emotional factors influence financial decisions. Designed to equip you with actionable insights, this course is your roadmap to understanding and navigating the complex interplay of psychology and finance.

Behavioural Finance
Delivered Online On Demand1 hour
£5

Personal Finance

5.0(1)

By LearnDrive UK

Our “Personal Finance” course will help you reach your financial goals and maintain your best credit.

Personal Finance
Delivered Online On Demand1 hour
£5

Educators matching "Accounting"

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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