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7 Philosophy courses in Leominster

Leadership Identity Through Self-Discovery

5.0(1)

By Puritas

This module focuses on developing leadership confidence through self-discovery, emphasising the importance of understanding one's unique leadership style and personal philosophy. Participants will explore their core identity as leaders and learn strategies to enhance their influence, credibility, and relationships within their organisation. Exploring the link between self-discovery and effective leadership, focusing on developing confidence to lead from within. Testimonial: “Without guidance, personal branding can quickly become an exercise in aspiration and competition; letting the carefully curated public personas of others dictate our own validity and definition of success. Clarity on who we truly are, what matters to us and therefore how we position ourselves in the world takes reflection and time. Rachael’s work in this area has inspired the nearly 100 delegates who have been part of our HR Leadership Academy over the past 8 years, and I have no doubt will continue to resonate with future cohorts.” MD, Nina Metson - Suffolk

Leadership Identity Through Self-Discovery
Delivered In-Person in Bishop Stortford + 9 more or UK WideFlexible Dates
£1,500 to £2,500

Presentation skills can be defined as a set of abilities that enable an individual to: interact, transmit the messages with clarity, engage the audience in the presentation, interpret and understand the mindsets of the listeners.

Presentation Skills Mastery
Delivered in Loughborough or UK Wide or OnlineFlexible Dates
£890

Better Business Cases Foundation: In-House Training

By IIL Europe Ltd

Better Business Cases™ Foundation: In-House Training: In-House Training Better Business Cases™ is based on the Five Case Model - which is the UK government's best practice approach to structuring spending proposals and making effective business decisions. 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 foundation course is to enable participants to work effectively with a team to develop a strong business case in their work environment. What You Will Learn At the end of this program, you will be able to: Describe the philosophy and the underlying rationale of the Five Case Model Identify different types of business case, their purpose, who is responsible for them Recognize when the different types are required in the development of a spending proposal Develop the business case in relation to other recognized and recommended best practices for programme and project management Overview of the Five Case Model Five key components of a business case and the order in which they are presented Three key stages in the development of a spending proposal Definition of a programme / project and the key differences between programmes and projects Purpose of a Business Justification Case (BJC) and in what circumstances it should be considered Purpose of a Strategic Outline Case (SOC) Purpose of an Outline Business Case (OBC) Purpose of a Full Business Case (FBC) Relationship between policies, strategies, programmes, and projects and their deliverables Developing the Strategic Case Purpose and core content of a Strategic Case Purpose of SMART robust spending objectives and the key objectives for spend: economy, efficiency, effectiveness, re-procurement, and statutory or regulatory compliance Four main categories of benefits criteria and the parties involved in their development Three key categories of risk Purpose of identifying constraints and dependencies Difference between direct and indirect benefits Developing the Economic Case Purpose and core content of an Economic Case Purpose of critical success factors and the key critical success factors based upon the Five Case Model Purpose of the long list options and how to generate options and undertake SWOT analysis Minimum of four short-list options, how they are derived, and what they should include (Reference Project / Public Sector Comparator [PSC]) Difference between the preferred way forward and the preferred option Purpose, objectives, key participants, and outputs of Workshop Stage 2 - identifying and assessing the options Rules that should be followed for the treatment of costs and benefits Key differences between economic appraisals and financial appraisals Factors considered when selecting the preferred option Developing the Commercial Case Purpose and core content of a Commercial Case Guiding principles when apportioning risk between the contractual parties Purpose of payment mechanisms Purpose of Step 9 in the development framework: Contracting for the deal Developing the Financial Case Purpose and core content of a Financial Case The financial statements required for all projects The possible impacts to consider Developing the Management Case Purpose and core content of a Management Case Purpose of a programme / project management strategy, framework, and plan Purpose of a change management strategy, framework, and plan Purpose of a benefits realization strategy, framework, and register / plan Purpose of a risk management strategy, framework and register / plan Purpose of a post programme / project evaluation strategy, framework, and plan

Better Business Cases Foundation: In-House Training
Delivered in London or UK Wide or OnlineFlexible Dates
£1,995

PMI-ACP Exam Prep: In-House Training

By IIL Europe Ltd

PMI-ACP® Exam Prep: In-House Training This course builds on the candidates' practical experience of Agile in the workplace to equip them with the broad range of knowledge and skills required for the PMI® Agile Certification exam. It will follow the PMI® requirements and reference the suggested reading list, including the Agile Practice Guide, but will not be limited to those areas. Within the profession and discipline of project management, Agile continues to develop as a significant and important aspect of bringing change to an organization. Where the products of change must be delivered to the business 'on time,' Agile is often the chosen methodology. In addition to equipping candidates for the PMI® Agile Certification examination, this course will also support candidates in taking a more informed and effective role in Agile projects. It will also enable them to take a significant role in encouraging and enabling the organization to become or develop as an Agile environment. What you will Learn You will learn how to: Appreciate the wider aspects of Agile project management tools and techniques Integrate various disciplines within Agile Tailor / customize Agile to suit the needs of different projects Prepare yourself for the PMI® Agile Certification examination Getting Started Introductions Agenda Expectations Foundation Concepts Defining 'Traditional' Project Management Project management parameters The 'traditional' approach to the parameters Strengths and weaknesses of the traditional approach Defining 'Agile' Project Management Project management parameters revisited The 'agile' approach to the parameters Strengths and weaknesses of agile Managing projects with traditional and agile methods Can the two approaches co-exist? Leveraging the benefits of both methods Options for using both methods on a project Avoiding the elephant traps Key aspects of the PMI® Agile Certified Practitioner (PMI-ACP)® Handbook Overview Eligibility requirements Exam information Exam Blueprint Continuing certification requirements Key aspects of the PMI Agile Certification Examination Content Outline Introduction Agile exam content outline Tools and techniques Knowledge and skills Domains and tasks (not examined) An Introduction to Agile and Implementing Agile Definable work vs. high-uncertainty work Project factors that influence tailoring The Agile Manifesto and 12 Principles Agile mindset Agile domains and tasks Agile Tools and Techniques Related to PM 'Hard Skills' Planning, monitoring, and adapting The need for planning, monitoring, and adapting The Agile approach to planning and plans The Agile planning tools and techniques The Agile monitoring tools and techniques The Agile approach to adapting Product quality A definition of 'product quality' Setting the standard for product quality Agile tools and techniques for achieving product quality Risk management A definition of 'risk' What is 'at risk'? The acceptability of risks The Agile tools and techniques for managing risks Agile Tools and Techniques Related to PM 'Soft Skills' The difference between PM 'hard and soft' skills Communications The importance of communications Forms of agile communications Communications within the project Communications from the project Communications to the project Making communications the cultural norm Interpersonal Skills Defining and understanding management Defining and understanding leadership Defining and understanding servant leadership Delegating vs. empowering Playing to people's strengths Overcoming the roadblocks Core Agile Tools and Techniques The philosophy of core Agile tools and techniques Agile estimation Will traditional forms of estimating work for agile? The relationship between estimating and guessing The relationship between estimating and sizing The where, who, and how of agile estimating Agile analysis and design Product analysis and design from a user point of view Product analysis and design from a supplier point of view Product analysis and design from an agile project point of view Value-Based Agile Tools and Techniques The role of value-based tools and techniques in bridging traditional PM with Agile Value-based prioritization Value-based prioritization and agile projects Investment appraisal methods Regulatory driven Customer driven Ranking methods (MMF, MoSCoW) Metrics What should we measure / track? Methods of measuring / tracking Adding value with metrics Process Improvement Value-stream analysis Value-stream mapping Agile Knowledge and Skills Context of Agile Knowledge and Skills vis-à-vis Agile Tools and Techniques Agile Knowledge and Skills Process focused People focused Product focused Project focused Exam Preparation and Course Closure The application process - where are you now? The 'Exam-Focused Journal' - what you still have to do Further preparation - self-study schedule Exam topic review Practice exam Practice exam debrief Course closure

PMI-ACP Exam Prep: In-House Training
Delivered in London or UK Wide or OnlineFlexible Dates
£1,695

HV & MV Power System Design, Protection & Coordination - Virtual Instructor-Led Training (VILT)

By EnergyEdge - Training for a Sustainable Energy Future

Enhance your expertise in HV/MV power system design and protection coordination with EnergyEdge's virtual instructor-led training. Join now!

HV & MV Power System Design, Protection & Coordination - Virtual Instructor-Led Training (VILT)
Delivered in Internationally or OnlineFlexible Dates
£1,899 to £1,999

Cost reduction (In-House)

By The In House Training Company

Businesses that don't control their costs don't stay in business. How well are you doing? Is everyone in your organisation sufficiently aware of costs, managing them effectively and maximising opportunities to reduce them? If there is scope for improvement, this course will help get you back on track. It will demonstrate that cost reduction is so much more than cost control and cost cutting. True cost management is about being aware of costs, seeking to reduce them through good design and efficient operating practices whilst taking continuing action on overspending. This course will develop the participants' skills in: Being aware of costs at all times Seeking cost reduction from the start (including life-cycle costing) Appraising projects / production to identify and take out risk Understanding real budgeting Using techniques such as ZBB and ABC where appropriate Ensuring cost reports lead to action Managing a cost reduction process that delivers Benefits to the organisation will include: Identification of cost reduction and business improvement opportunities Better reporting and ownership of costs Greater awareness and control of everyday costs 1 Introduction - the cost management process The risks of poor cost control Capital and revenue costs The importance of cost awareness The importance of cost reduction Cost management - the key aspects How to build a cost management and control process checklist for your areas of responsibility 2 Cost removal - taking out costs Cost awareness Costs of poor design / poor processes Value engineering Removing redundant costs 3 The need for commercial, technical and financial appraisals Understand the problems before cash is committed and costs incurred Making the effort to identify commercial and technical risk The time value of money - DCF techniques for long term projects Cost models for production processes and projects Costing models - project appraisals The use of spreadsheets to identify sensitivity and risk How to focus on risk management 4 Budgeting - proper budgeting challenges costs The philosophy of the business - are costs an issue? The importance of having the right culture The need for detailed business objectives Budgetary control measures Designing budget reports - for action 5 Zero-based budgeting (ZBB) - the principles Much more than starting with a clean sheet of paper What ZBB can achieve The concept of decision packages - to challenge business methods and costs Only necessary costs should be incurred A review of an operating budget - demonstrating what ZBB challenges and the costs it may lead to being taken out 6 Awareness of overheads and other costs Definitions of cost - direct and indirect Dealing with overheads - what is meant by allocation, absorption or apportionment? The apparent and real problems with overheads Different ways of dealing with overheads Review of overhead allocation methods and accounting and reporting issues 7 Overheads and product costing Activity-based costing (ABC) - the principles Where and how the ABC approach may be helpful Know the 'true' cost of a product or a project Should you be in business? Will you stay in business? Identifying weaknesses in a traditional overhead allocation How ABC will help improve product or service costing Identifying which products and activities should be developed and which abandoned 8 Cost reduction culture The need for cost reports What measures can be used to identify over-spends as early as possible Cost control performance measures and ratios 9 Design of cost control reports Reports should lead to action and deliver Selecting cost control measures which can be acted upon Practice in designing action reports 10 Course summary - developing your own cost action plan Group and individual action plans will be prepared with a view to participants identifying their cost risks areas and the techniques which can be immediately applied to improve costing and reduce costs

Cost reduction (In-House)
Delivered in Harpenden or UK Wide or OnlineFlexible Dates
Price on Enquiry

FORENSIC ACCOUNTING FOR INSTITUTIONAL INVESTORS

By Behind The Balance Sheet

Our Forensic Accounting Course is designed to help investment analysts detect earnings manipulation. It focuses on creative accounting rather than conducting detailed forensic analysis but we explain the tools short sellers employ to detect fraud and some of the techniques we used at hedge funds to identify short opportunities.

FORENSIC ACCOUNTING FOR INSTITUTIONAL INVESTORS
Delivered In-Person in InternationallyFlexible Dates
Price on Enquiry

Educators matching "Philosophy"

Show all 3
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