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65 Motivation courses in Leominster

Working with Elected Members (In-House)

By The In House Training Company

It is important for Officers to understand the roles and responsibilities, processes and procedures involved when working with Elected Members. They also need to appreciate the significance of Elected Members as the decision-makers in local government. Officers have a responsibility to work and communicate with Elected Members effectively. This very successful course is designed to help Officers with this. Note: this is very much an indicative outline. The programme is tailored to the needs of each particular organisation. To provide managers with the knowledge and understanding they need to have productive working relationships with Elected Members and provide appropriate support. By the end of the course participants will: Understand the roles, responsibilities, processes and procedures in place for working with Elected Members Be able to identify the best way to approach potentially sensitive issues Understand the skills and behaviours required for working effectively with Members Be able to deploy their influencing skills more successfully Review their learning and have an action plan to take back and implement at work Note: this is very much an indicative outline. The programme is tailored to the needs of each particular organisation. 1 Introduction Welcome and introductions Objectives and programme overview 2 Working in a political environment What is political awareness? Contact and experience with Members Importance of the role of Members 3 Why be an Elected Member? Perceptions of what Elected Members are and do Values of Members and their motivations for doing what they do 4 Political decision-making in local government Current challenges and drivers affecting the organisation / the council Roles and responsibilities of Officers and Members Centrality of Members' strategic role 5 (Option) A day in the life of an Elected Member An Elected Member gives a talk about what they do 6 Having a beneficial relationship between Officers and Members 7 Member / Officer communication Discussion of the formal processes, service procedures, etc (whether enshrined in a protocol, Memorandum of Understanding, etc) Response times and requirements Procedures required by Heads of Service [if appropriate] 8 Influencing styles and strategies Different forms of power and how they impact Developing an appropriate 'influencing style' Exploring strategies for improving communication and influencing at work 9 Review and evaluation Review and evaluation of learning Personal action plans

Working with Elected Members (In-House)
Delivered in Harpenden or UK Wide or OnlineFlexible Dates
Price on Enquiry

Sales skills for selling products (In-House)

By The In House Training Company

Bad news - people don't buy your product. Better news - they don't buy anyone else's product either. Best news - they do buy what a product gives them, whether it be removing 'pain' or giving 'pleasure'. So what a challenge it is that every single person buys your product for a slightly different reason! What's the secret to selling in that sort of sales environment? This programme provides a great roadmap. This course will help participants: Build rapport with authenticity Use open questions, listening and summary to properly understand the prospect Use 'impact' questions to 'stack the pain' of remaining with the status quo Convert features into personalised benefits that reflect stated needs Handle objections with calm confidence Identify buying signals Close effectively Convey credible urgency centred on the prospect's - not the salesperson's - interests 1 What makes a customer buy any product? Moving towards 'pleasure' Moving away from 'pain' Robert Cialdini's Psychology of Influence - buying motives Understanding what your product does for customers Why there is never a 'one size fits all' approach What are the real 'unique selling points' and why the salesperson is the real 'USP' At what point does the customer emotionally buy your product? 2 Getting past gatekeepers What gatekeepers' motivations are How to make them your friend rather than your enemy How to make your call harder to block than to put through How to control the gatekeeper with questions, not answers Using Cialdini's 'reciprocity' law to get put through more often Practical exercise in which the trainer poses as gatekeeper 3 Questioning and listening skills How to use open questions to get the customer talking What questions to avoid and why How to 'stack the pain' of the status quo with 'impact questions' Practical 'pain stacking' exercise in pairs What listening is and what it isn't Question funnelling - how to earn deeper disclosure through probing Practical funnelling exercise in pairs The power of summary 4 How to create tailored benefits and not 'dive into solution' What is 'diving into solution'? Examples and analogies Why it is to be avoided Practical exercise in pairs - how it feels to have solutions offered up too early How to avoid 'feature-dumping' What is 'value selling'? How to create tailored benefits How to convert product features into benefits How to deal with the prospect's competitor allegiance 5 Handling objections and testing the water How to overcome the price objection by selling value Common objections the participants encounter and answers that work The objections salespeople carry in their own heads The 'A-C-E' objection-handling model How to uncover objections When - and when not - to trial close 6 Closing skills Why salespeople often close too early How to identify buying signals How to use urgency with skill and effectiveness Four killer closing techniques that work How to avoid buying the product back by careless post-sale talk How to ask for referrals for your product How to 'farm' the account for future opportunities 7 Wrap-up Key learnings from each participant Individual action planning - steps that can and will be implemented in the workplace

Sales skills for selling products (In-House)
Delivered in Harpenden or UK Wide or OnlineFlexible Dates
Price on Enquiry

Leadership - turning values into action (In-House)

By The In House Training Company

A question of trust. Leadership implies followership. And that means trust. Because who's going to follow a leader they don't trust? This programme takes a values-driven approach to leadership. It gets current and aspiring leaders to hold up the mirror to themselves and to see their reflections as leaders of people. It asks them whether what they see justifies their view of themselves as leaders. It helps them understand just what it takes to be an effective leader. And it does so in a highly practical, constructive manner. It helps the course participants to truly understand the core skills of effective leadership. It focuses on the difference between leadership and management, defining what high performing teams do and how they do it. It helps people to see their teams from different perspectives, allowing them to adapt their styles to maximise team outputs. And it explores concepts such as emotional intelligence, authentic leadership and the RAIV approach (relationships-achievement-independence-vocation) to help explore underlying values and use them to drive effective leadership. Because what worth do our values have unless we put them into practice? The course will help you:• Appreciate the key skills a leader needs to be effective• Understand what the organisation expects of you as a leader• Recognise your leadership style and the impact it has on others• Consider your role models - who inspires you?• See leadership from the 'followers' perspective - how do you like to be led?• Discover what holds you back - limiting beliefs• Examine your core values -do they support your ambition?• Explore the concept of Emotional Intelligence - how do we manage ourselves?• Discover how to lead through change• Explore the concept of 'Authentic Leadership' - consider how it can work for you• Practice some of the skills essential to motivating and influencing for success• Use the RAIV approach to generating enthusiasm and commitment• Plan how best to 'walk the leadership talk' - in your role, in your organisation Above all, this course will help you put theory into practice, values into actions, in a mature, considered, effective way. Day 1 1 Welcome and introduction Participants are welcomed to the programme and invited to share their personal objectives and people challenges Participants given an action plan template to complete throughout the workshop Participants required to bring an inspirational quote to share with the group 2 What is leadership? The concept of 'leadership' The role of a leader Skills assessment for all participants# Leadership v Management Assess your team effectiveness 3 Your leadership style Leadership questionnaire You and your role models Push v Pull styles of leadership Empowerment v Control Team goals and role profiling Day 2 1 You, the leader Your core values Your communication style Situational leadership The Emotional Bank Account Buy Me Today 2 Are you Emotionally Intelligent? (EI) What is emotional intelligence? Self-assessment exercise Manage your emotions Nine strategies for promoting EI 3 Leading through change Identify the major changes affecting you / your team Types of change The roles of resistance How safe are you to talk to? Forcefield Analysis Day 3 1 Authentic Leadership (AL) What is AL? Managing perceptions is managing their truth A leadership challenge 2 Motivating and influencing for success What motivates you? Motivational theory Leading by example Influencing skills required Influencing styles The influence challenge! 3 Creating enthusiasm and commitment The RAIV approach (relationships-achievement-independence-vocation) Building self-worth What drives your team? Your leadership legacy Your commitment to leadership

Leadership - turning values into action (In-House)
Delivered in Harpenden or UK Wide or OnlineFlexible Dates
Price on Enquiry

Ushering The Team Back To The Workplace

By Dickson Training Ltd

Most organisations and businesses are trying to navigate the best way back to a functional working framework. But two things need to happen - 1. The working practices need to be efficient, sustainable and compatible for meeting the demands and needs of the organisation; it’s clients, it’s workforce and it’s Leaders 2. The culture needs to be welcoming, authentic and supportive otherwise there will be disenfranchisement and potentially a churn of staff and loss of talent What has been proven to be a very successful approach to mitigate the dangers of demotivated team members and poor efficiency levels is a bespoke ‘Ushering the Team Back to the Workplace’ workshop. Programme Outline Below is a template of an actual Programme that has been delivered very successfully for clients such as the NHS; Claranet; Jotun Paints & Workspace. This, however, can be modified to suit any group or size. It will be designed to reflect the Organisation’s preferred Hybrid working framework and communication systems. The options of having the innovative Real Play technique to help handle delicate conversations is especially effective. The biggest gain is to reconnect the relationships via the activities and exercises, which would be selected carefully. Key commitments and buy-in is always the priority outcomes - which this programme will help deliver in just 1 day. The objectives include: Making the transition back to working as a collaborative team Enhancing the Leadership skills of the team Reviewing/establishing the Hybrid working protocols Galvanising the Team spirit Maintain inclusivity among full-time; part-time and Region based team members Energising and motivational Fun! Exercise – Round the Bend The team are to follow the instructions delivered as they walk (and jump) through the route – always keeping a safe distance apart. The instructions become more complicated as they progress. Debriefing points: Dealing with Change Attention to Detail Adapting approach Optimising results Exercise - Number Crunch (3 x Cohorts of 12/13) The team must be effectively led and motivated to work as one unified group to reach their objective of visiting each numbered location within a very tight deadline. Debriefing points: Support and co-ordination Strategy and planning Adapting approach Optimising results Tutorial – Team Dynamics Tuckman model Phases of Development towards Maturity Exercise - Juggling (3 x Cohorts of 12/13) The group(s) will be invited to optimise the number of ‘clients’ (juggling balls) they can manage at one time. This involves devising a sequence between the group to achieve maximum results without making any mistakes. We introduce different balls which represent different degrees of complexity, challenging the group’s preparation and approach to a variety ‘customers’ needs. Debriefing points: Ensuring effective communication Clarifying the approach for dealing with the unexpected Setting expectations and reviewing delivery Treating every colleague with care and respect Tutorial - Email Etiquette The primary standards – best practices ABSURD model Preparation and planning Top Tips World Cafe The team are split into 5-6 sub-groups – each with a specific review focus:- What recommendations do you have to engage the team back into the Workplace? How do we ensure the framework is efficient? What are the best ways to optimise team working strategically when most/all team members are in the office? What potential barriers are there? How do we accommodate for the Regional team members? What are the benefits to bringing the team back to the workplace? Each session has 2 – 3 rounds with each table’s ‘host’ sharing feedback for applying to the Team Action Plan – or Charter. Debriefing points: Each Syndicate’s recommendations and capture the key actions they generate 'Real Play' We offer an innovative solution to bring real Leadership/team scenarios to life. We use actors who improvise scenarios which have been specified by the group. The group is split the group into 2 sub-groups, one with the Actor, the other with the Trainer. Each group has a brief and has to instruct their Trainer/Actor on how to approach the scenario supplied. The Actor and Trainer perform the role play(s) as instructed by their respective teams; however, during the action they can be paused for further recommendations or direction. The outcome is the responsibility of the team(s) – not the performers Assign 24 x ‘Directors’ (4 for each Player – Phil & Julia – for each Real Play. Potential Real Play Scenarios: Engaging with a team member as to how the new working plans will be applied. Overcoming concerns to the new working practices/framework Addressing issues where a team member feels excluded from the teamworking practices/culture Debrief the Programme Individual Action Plans Team Priorities for application into the workplace

Ushering The Team Back To The Workplace
Delivered in Bardsey + 3 more or UK Wide or OnlineFlexible Dates
Price on Enquiry

Professional Customer Care

By Dickson Training Ltd

Any team member with Customer interaction (including internal) are the 'Ambassadors' of the company/organisation. If they project positive professionalism - they win others' confidence. If they appear or sound like they are in any way indifferent or unprofessional - they will cost sales and lose clients/customers. With this 2 day Training course, that will be tailored to your company/organisation, each person attending will upgrade their professional standards in people skills, telephone manner and email etiquette. No training in this area may well be a false economy as there is a much greater risk of disenfranchised customers and team members - and probably increases your competitors to win business at your expense. Professional customer care is all too frequently regarded as a token issue in most induction sessions for employees. Surprisingly it is very rarely considered as a key priority, despite being essential for ensuring customer commitment is secure and supplier/partnerships are robust. Excellent customer care is paramount in our ever increasingly competitive market and making customers feel valued and looked after is often a differentiator. This 2-day course will help you understand your customers and the vital importance of customer care in any organisation. You will gain the tools and techniques to apply your learning directly back into the workplace and deliver excellent customer care. Course Syllabus The syllabus of the Professional Customer Care course is comprised of four modules, covering the following: Module One What is Excellent Customer Care? Internal versus external customers Why customer care is important Meeting customer expectations Module Two Making a Personal Difference How do you measure customer care? Making a difference Taking ownership Positive mental attitude Displaying professionalism both face-to-face and over the telephone Using positive language Module Three Gathering Information and Offering Solutions Asking the right questions Active listening skills Summarising and clarifying skills Module Four Dealing with Difficult Situations How to give a 'service' no Demonstrating empathy Assertiveness techniques Handling a complaint Problem solving Saying 'sorry' Making realistic promises and keeping them Real Play Scenarios with a Professional Actor (Optional Extra) This programme benefits significantly from our innovative training feature: Real Play. Using a professional actor who performs role plays as different customer characters in carefully devised situations, the delegates have the opportunity to 'pause' the role play to coach and control their character to improve their skill sets and practice the theory delivered. These scenarios can deal with difficult situations and enacting options to ensure good customer relations are intact. The outcome of the scenario is the responsibility of the delegates, not the trainer and actor. The actor will remain in character throughout the de-brief in order to bring to life the impact and possible next steps. Objectives By the end of the course participants will be able to Adopt a professional telephone manner Communicate assertively by taking control and directing the conversation Deliver information positively by offering options and alternatives Develop a range of versatile behaviours to use when dealing with difficult situations by: Listening actively Using empathy Gathering relevant information through effective questioning Finding solutions to concerns/problems quickly and efficiently Speaking positively and assertively What Is The Benefit? For individuals this course will increase confidence and ability to deal with customers in all situations, which will in turn create customer loyalty and raise their profile. For an employer, ensuring that all customer facing employees are demonstrating excellent customer care instils confidence in the customers and promotes a positive image of the company. In-House Courses Every single team member or employee that has a role which involves engaging with a customer, client and/or a key partner/supplier has a responsibility for projecting a positive image of the organisation which they represent. That may sound obvious, but how many hundreds of experiences have you had as a customer where you were treated with indifference and a distinct lack of professionalism by the receptionist, the retail assistant, the tele-agent, the delivery person, the credit controller or the departmental manager of the operation that you were dealing with? Far too many to count? This is because professional customer care is regarded as a token issue in most induction sessions for employees - and it is very rarely considered as a key priority to ensure customer commitment is secure and supplier/partnerships are robust. Yet the hugely expensive churn in customer/client commitments and staff is enormously expensive and immensely disruptive to any organisation. The Importance of Customers and Clients Every client/customer engaging person needs to recognise that it is ultimately the client or customer that pays their wages. If they gain a basic understanding of the clients' motivations and behaviours, coupled with some core skills in how to care for them, they will attain the status of 'professional'. This will very quickly translate into increased revenues, retained loyalty, high commitment and far greater security for all parties. The foundation has to be based on the authentic commitment to both the customer and also to the organisation they work for. Disenfranchisement readily curdles into sloppy behaviours cloaked in unprofessional attitudes and demeanours; plenty there to repel the most loyal of customers. If your company or organisation relies on repeat business and retaining the confidence and commitment of your clients, then all of your team members - perhaps including managers who set the example and have the biggest influence on the where the needle points to in relation to professionalism - need to be trained on the core basics of professional customer care. Customer Care Programmes from Dickson Training Ltd We are delighted to boast about the many successes we have had in providing effective and long lasting improvements for many clients, where awards have been won and, more importantly, talent has been retained because their clients and customers keep on coming back. Professional customer care extends to suppliers and partners that you value and need to get the best service and rates from, as well as any 'internal clients' such as other departments where you need to rely on their support and collaboration in order to achieve your goals. It is amazing what effective professional customer care training can do for any organisation. Without it your organisation may be vulnerable, with it you are much more likely to see increased performances and much greater security and growth. Scheduled Courses Unfortunately this course is not one that is currently scheduled as an open course, and is only available on an in-house basis. Please contact us for more information.

Professional Customer Care
Delivered In-Person in Bardsey + 3 more or UK WideFlexible Dates
Price on Enquiry
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Educators matching "Motivation"

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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