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69 C++ courses in Leominster

The Phoenix Effect

5.0(3)

By Lapd Solutions Ltd

Organisational development, Organisational culture, Organisational values, Organisational environment,

The Phoenix Effect
Delivered in Birmingham + 1 more or UK Wide or OnlineFlexible Dates
£1,250 to £1,500

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

Key account management (In-House)

By The In House Training Company

This programme has a simple objective: to help a sales team create and implementa comprehensive account development plan. If you want to earn strategic partner or preferred supplier status with your clients and customers then you need to add value to their business, consistently, and you can only do this if you have a plan - a key account management plan. This programme will help participants: Discover opportunities - through a deeper understanding of the customer's business Develop partnership - through a better 'value proposition' for the customer Increase repeat business - based on higher customer satisfaction Improve synergy - by getting everyone to 'sing from the same hymn sheet' Develop a collaborative account plan - validated by the customer and their own management Secure resources - management will align resources to execute soundly based account plans Win an increased share of 'customer wallet' - through systematic account development 1 The six principles of strategic account development Introduction to the PROFIT account development model:- Performance- Relationships- Objectives and goals- Feedback- Integration- Teamwork Practical account development strategies: overview and case studies 2 Performance Use practical tools to help you manage and measure account performance and success Design and build a monthly account dashboard for all sizes of account Prioritise and manage accounts and customers pro-actively and successfully, using proven planning tools Develop a cross-selling strategy to integrate products or solutions into the customer's business as closely as possible 3 Relationships How to build and manage key relationships within an account Qualifying and managing key influencers accurately Producing a 'relationship matrix' for each account quickly and easily Approaching and developing new contacts strategically Tools and techniques for successful tracking of contacts and call-backs Developing a coach or advocate in every customer organisation pro-actively 4 Objectives and goals Where are you now? - how to establish your competitive position within an account Know how to set, monitor and track key objectives for accounts over the short, medium and long term Selling against the competition - developing both long- and short-term sales strategies 5 Feedback - building loyal and satisfied customers The correct way to manage customer expectations and create listening loops within an account How to monitor and track your customer's perception and satisfaction with your organisation Building a personalised satisfaction matrix for each account Customer review meetings - best practice in building loyalty by regular joint planning events Understanding the concept of long-term customer value and the importance of adapting a customer-focused attitude 6 Integration How to integrate your products or solutions with the customer's business needs and processes Spot and react to early warning signals that may cause an account's loyalty to fade, reduce revenue or switch to a competitor Developing a loyalty strategy for key accounts or groups of smaller accounts Getting your message and strategy across to C-level contacts 7 Teamwork Working with others to achieve your account goals Gaining internal commitment from your organisation Managing and working with a virtual team Creating cross-departmental communication loops 8 Putting it all together Personal account reviews Personal learning summary and action plans

Key account management (In-House)
Delivered in Harpenden or UK Wide or OnlineFlexible Dates
Price on Enquiry

Piano Lessons London

5.0(8)

By Milton Keynes Music Academy

We invite adults, children, complete beginners, and advanced pianists alike to join us at our studio on Baker Street for the finest and most comprehensive piano lessons London has to offer, thanks to a wonderful team of piano instructors. Please contact us for in-person or online lesson availability.

Piano Lessons London
Delivered In-Person in Milton Keynes or UK WideFlexible Dates
£39 to £79

Tableau Desktop Training - Analyst

By Tableau Training Uk

This Tableau Desktop Training intermediate course is designed for the professional who has a solid foundation with Tableau and is looking to take it to the next level. For Private options, online or in-person, please send us details of your requirements: This Tableau Desktop training intermediate course is designed for the professional who has a solid foundation with Tableau and is looking to take it to the next level. Attendees should have a good understanding of the fundamental concepts of building Tableau worksheets and dashboards typically achieved from having attended our Tableau Desktop Foundation Course. At the end of this course you will be able to communicate insights more effectively, enabling your organisation to make better decisions, quickly. The Tableau Desktop Analyst training course is aimed at people who are used to working with MS Excel or other Business Intelligence tools and who have preferably been using Tableau already for basic reporting. The course is split into 3 phases and 9 modules: Phase 1: AMPLIFY MODULE 1: CHECK ABILITIES Revision – What I Should Know What is possibleHow does Tableau deal with dataKnow your way aroundHow do we format chartsHow Tableau deals with datesCharts that compare multiple measuresCreating Tables MODULE 2: COMBINE DATA Relationships Joining Tables – Join Types, Joining tables within the same database, cross database joins, join calculations Blending – How to create a blend with common fields, Custom defined Field relationships and mismatched element names, Calculated fields in blended data sources Unions – Manual Unions and mismatched columns, Wildcard unions Data Extracts – Creating & Editing Data extracts MODULE 3: ADVANCED CALCULATIONS Row Level v Aggregations Aggregating dimensions in calculations Changing the Level of Detail (LOD) of calculations – What, Why, How Adding Table Calculations Phase 2: ANALYSE MODULE 4: EXPAND APPLICATION Making things dynamic with parameters Sets Trend Lines How do we format charts Forecasting MODULE 5: ADVANCED MAPPING Using your own images for spatial analysis Mapping with Spatial files MODULE 6: DATA COMPARISONS Advanced Charts Bar in Bar charts Bullet graphs Creating Bins and Histograms Creating a Box & Whisker plot Phase 3: ACT MODULE 7: ADVANCED DASHBOARDS Using the dashboard interface and Device layout Dashboard Actions and Viz In tooltips Horizontal & Vertical containers Navigate between dashboards MODULE 8: PRESENT STORIES Telling data driven stories MODULE 9: ENABLE DECISIONS What is Tableau Server Publishing & Permissions How can your users engage with content This training course includes over 25 hands-on exercises and quizzes to help participants “learn by doing” and to assist group discussions around real-life use cases. Each attendee receives a login to our extensive training portal which covers the theory, practical applications and use cases, exercises, solutions and quizzes in both written and video format. Students must bring their own laptop with an active version of Tableau Desktop 2018.2 (or later) pre-installed. What People Are Saying About This Course “Course was fantastic, and completely relevant to the work I am doing with Tableau. I particularly liked Steve’s method of teaching and how he applied the course material to ‘real-life’ use-cases.”Richard W., Dashboard Consulting Ltd “This course was extremely useful and excellent value. It helped me formalise my learning and I have taken a lot of useful tips away which will help me in everyday work.” Lauren M., Baillie Gifford “I would definitely recommend taking this course if you have a working knowledge of Tableau. Even the little tips Steve explains will make using Tableau a lot easier. Looking forward to putting what I’ve learned into practice.”Aron F., Grove & Dean “Steve is an excellent teacher and has a vast knowledge of Tableau. I learned a huge amount over the two days that I can immediately apply at work.”John B., Mporium “Steve not only provided a comprehensive explanation of the content of the course, but also allowed time for discussing particular business issues that participants may be facing. That was really useful as part of my learning process.”Juan C., Financial Conduct Authority “Course was fantastic, and completely relevant to the work I am doing with Tableau. I particularly liked Steve’s method of teaching and how he applied the course material to ‘real-life’ use-cases.”Richard W., Dashboard Consulting Ltd “This course was extremely useful and excellent value. It helped me formalise my learning and I have taken a lot of useful tips away which will help me in everyday work.” Lauren M., Baillie Gifford “I would definitely recommend taking this course if you have a working knowledge of Tableau. Even the little tips Steve explains will make using Tableau a lot easier. Looking forward to putting what I’ve learned into practice.”Aron F., Grove & Dean “Steve is an excellent teacher and has a vast knowledge of Tableau. I learned a huge amount over the two days that I can immediately apply at work.”John B., Mporium

Tableau Desktop Training - Analyst
Delivered in Birmingham + 2 more or UK Wide or OnlineFlexible Dates
Price on Enquiry

NVQ DIPLOMA IN PLASTERING (CONSTRUCTION)

By Oscar Onsite

REFERENCE CODE 601/4322/8 COURSE LEVEL NVQ Level 3 THIS COURSE IS AVAILABLE IN Course Overview Who is this qualification for? This qualification is aimed at those who are involved in Plastering activities in the workplace. It is not expected that candidates working in this industry all do the same activities so the qualification has been developed to allow opportunities for those carrying out work in either solid or fibrous Plastering. Those taking the qualification must also prove knowledge and competence in working at heights, calculating quantities and wastage and the use of powered and hand tools and equipment. All work completed must be done in accordance with Building Regulations and Industry recognised safe working practices, including the disposal of waste. The qualification is structured to ensure that there is a high degree of flexibility within the units available and will allow employees from companies of all sizes and specialisms equal opportunity to complete. See the qualification Rules of Combination for more details on the specific skills required. In addition to this qualification there is a Level 2 qualification in Plastering and a number of other Construction and Construction related qualifications available through Oscar Onsite Academy. What is required from candidates? GQA qualifications are made up of a number of units that have a credit value or credits. This qualification consists of 4 mandatory units and 2 pathways, Solid and Fibrous. The qualification mandatory units have a total credit value of 31 credits-in addition the Solid plastering pathway requires achievement of 54 credits from the pathway mandatory units and a minimum of 14 credits required from the pathway optional group, giving a total of 99 credits. The fibrous plastering pathway requires achievement of all of the qualification mandatory units (31 credits) 45 credits from the pathway mandatory units and a minimum of 16 credits required from the pathway optional group a total of 92 credits for this pathway. The units are made up of the things those working in these job roles need to know to be able to do to carry out the work safely and correctly. These are called Learning Outcomes, and all must be met to achieve the unit. Mandatory units Level Credit Confirming Work Activities and Resources for an Occupational Work Area in the Workplace Developing and Maintaining Good Occupational Working Relationships in the Workplace Confirming the Occupational Method of Work in the Workplace Conforming to General Health, Safety and Welfare in the Workplace Additional units A/600/7882 Producing Granolithic Paving Work in the Workplace Producing Specialised Plasterer’s Surfaces in the Workplace 3 29 Pathway C – Solid – Pathway C1 – Solid Mandatory Units (54 credits) Producing Complex Internal Solid Plastering Finishes in the Workplace 3 27 Producing Complex External Rendering Finishes in the Workplace 3 27 Pathway C2 – Solid Optional Units – candidates must achieve a minimum of 14 credits Installing Direct Bond Dry Linings in the Workplace Installing Mechanically Fixed Plasterboard in the Workplace Running In-situ Mouldings in the Workplace Pathway D – Fibrous – Pathway D1 – Fibrous Mandatory Units (45 credits) Producing Complex Plasterwork Moulds in the Workplace Summary of the: GQA LEVEL 3 NVQ DIPLOMA IN PLASTERING (CONSTRUCTION) Installing Complex Fibrous Plaster Components in the Workplace 3 18 Pathway D2 – Fibrous Optional Units – candidates must achieve a minimum of 16 credits Running In-situ Mouldings in the Workplace 3 25 Repairing Complex Fibrous Plaster Components in the Workplace 3 16 Assessment Guidance Evidence should show that you can complete all of the learning outcomes for each unit being taken. Types of evidence: Evidence of performance and knowledge is required. Evidence of performance should be demonstrated by activities and outcomes, and should be generated in the workplace only, unless indicated under potential sources of evidence (see below). Evidence of knowledge can be demonstrated though performance or by responding to questions. Quantity of evidence: Evidence should show that you can meet the requirements of the units in a way that demonstrates that the standards can be achieved consistently over an appropriate period of time. Potential sources of evidence: Suggested sources of evidence are shown above, these can be supplemented by physical or documentary evidence, e.g. Accident book/reporting system Notes and memos Safety record Telephone/e-mail records Training record Customer and colleague feedback Audio evidence Records of equipment and materials Witness testimonies Work records Photographic/ video evidence Please Note that photocopied or downloaded documents such as manufacturers or industry guidance, H&S policies, Risk Assessments etc, are not normally acceptable evidence for qualifications unless accompanied by a record of a professional discussion or Assessor statement confirming candidate knowledge of the subject. If you are in any doubt about the validity of evidence, please contact Oscar Onsite Academy

NVQ DIPLOMA IN PLASTERING (CONSTRUCTION)
Delivered In-Person in Manchester or UK WideFlexible Dates
Price on Enquiry

Credit Default Swaps

5.0(5)

By Finex Learning

Overview 2 day course on single name CDS, index CDS and index CDS options and how to use them to express views and hedge risks in credit markets Who the course is for Consultants Analysts Managers C-Level executives People in need of knowledge to develop a blockchain strategy People working with blockchain projects Regulators Course Content To learn more about the day by day course content please request a brochure To learn more about schedule, pricing & delivery options, book a meeting with a course specialist now

Credit Default Swaps
Delivered in Internationally or OnlineFlexible Dates
Price on Enquiry

Understanding Blockchain Technology: WEB3 Universe - From TradFi to DeFi

5.0(5)

By Finex Learning

Overview The objective of this course is to equip professionals with comprehensive knowledge and practical skills in WEB 3 technologies and crypto assets. Participants will gain a deep understanding of the underlying principles of blockchain, the operational mechanics of cryptocurrencies, the potential impact of these technologies on the banking sector and the latest trends. Who the course is for Consultants Analysts Managers C-Level executives People in need of knowledge to develop a blockchain strategy People working with blockchain projects Regulators Course Content To learn more about the day by day course content please request a brochure To learn more about schedule, pricing & delivery options, book a meeting with a course specialist now

Understanding Blockchain Technology: WEB3 Universe - From TradFi to DeFi
Delivered in Internationally or OnlineFlexible Dates
Price on Enquiry

STUDY AND VOLUNTEER IN THE UK

By studentworks

full-time General English in the UK for 4 weeks MINIMUM, and covers the areas of listening, speaking, reading, writing, and grammar. It also includes 4x weeks MAXIMUM of work for a charity. study and volunteer in the UK

STUDY AND VOLUNTEER IN THE UK
Delivered In-PersonFlexible Dates
FREE
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Educators matching "C++"

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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