• Professional Development
  • Medicine & Nursing
  • Arts & Crafts
  • Health & Wellbeing
  • Personal Development

3439 Design courses in Leominster delivered Live Online

Site Supervisor Training Scheme (SSSTS) Refresher

By SMC Safety Solutions

Our CITB Online - Site Supervisors’ Safety Training Scheme (SSSTS) Refresher course is designed to give attendees a broad reminder of their responsibilities for health and safety on construction sites. Approved and endorsed by the United Kingdom Contractors Group, the SSSTS refresher course is a must for anyone who occupies a supervisory role on UKCG sites and wants to brush up on their knowledge of their legal responsibilities and the latest construction industry regulations. The SSSTS Refresher course has been created to provide existing supervisors, or those who are just entering into a supervisory role, with in-depth knowledge of health and safety legislation and procedures. If a candidate completed a full SSSTS training course up to 5 years ago, they will be required to attend a refresher programme. Prerequisites SSSTS certificates are of course valid for up to 5 years, but due to the ever-changing nature of the industry, it is recommended that staff stay up to date by enrolling on a refresher course long before the qualification expires. Instructions Please note all Site Supervisor Training courses with the venue “Remote Learning” will be delivered by a tutor over a video call. This training will be delivered and assessed in English language; therefore, a good standard is required to complete the course. Further attendee information will be sent in a separate email, please check your inbox.

Site Supervisor Training Scheme (SSSTS) Refresher
Delivered in Chelmsford + 1 more or Online + more
£189

Creative Connections: Network, Learn & Create

5.0(6)

By Clockwork Eye Video

Join us for a fun, friendly, and seriously useful networking event designed for business owners, creatives, and content-curious businesses who want to up their marketing game online. Each session features a guest expert sharing tips and real-world insights on topics like video creation, SEO, design, and more – followed by relaxed networking where you can meet like-minded people, ask questions, and share your own experiences. Whether you're a complete beginner or already posting content regularly, you'll leave with ideas you can use immediately – and maybe a few new contacts, too!

Creative Connections: Network, Learn & Create
Delivered Online + more
FREE

Beginner's Guide to Video Editing (Interactive Workshop)

4.9(7)

By Clockwork Eye Video

This video editing workshop equips you with the essential skills to create professional-looking videos for your business, even if you've never edited before.

Beginner's Guide to Video Editing (Interactive Workshop)
Delivered Online + more
£250

Excel Macros and VBA Course, 1-Hour Taster

4.6(12)

By PCWorkshops

For Excel users. Extend the capabilities of Excel with Macros and VBA code.

Excel Macros and VBA Course, 1-Hour Taster
Delivered in London or Online
£25

Guided Minds Meditation Programme.

5.0(26)

By The Northern College Of Clinical Hypnotherapy

🌿 Guided Minds: A 12-Month Meditation Journey Create calm, clarity & connection—one month at a time. Guided Minds is a year-long meditation programme designed to help you build a sustainable, enriching practice through monthly themes, supportive sessions, and practical tools for real life. Whether you're new to meditation or looking to deepen your experience, this programme will guide you with compassion and clarity. 🔁 Programme Format Weekly Live Sessions (Online & In-Person) Monthly Themes & Challenges Guided Meditations & Practices Supportive Community Access to Session Recordings Join monthly or commit to the full journey—the choice is yours. 🌟 Monthly Themes Overview July: Making Meditation a Healthy Habit Learn how to create a sustainable daily practice using breath, posture and science-backed techniques. ✔️ Relaxation response ✔️ Meditation for clarity & calm ✔️ Core practices: breath, posture, stillness ✔️ In-person Session 5: “Pulling It All Together” August: Meditation & Mindfulness Focus on the profound benefits of meditation: ✔️ Stress relief, heart health, immunity ✔️ Slowing ageing, boosting self-compassion ✔️ 3 Principles: Habituation, Wisdom, Openheartedness ✔️ Diamond Dedication Meditation September: Calming a Wandering Mind Tame your busy mind through simple, powerful practices. ✔️ Focused attention vs. mind-wandering ✔️ Thought loops & rumination ✔️ Colour, mantra & visualisation meditations ✔️ Mindfulness of thought October: Creating a Mindful Life Bring mindfulness into everyday moments. ✔️ Living in the now ✔️ Radical acceptance & surrender ✔️ Senses as anchors: sound, touch, breath ✔️ Showing up fully for life November: Meditation for Stress Relief Practical methods to manage stress & emotional overload. ✔️ Good vs. bad stress ✔️ The ego, fight/flight, and impermanence ✔️ Gratitude & visualisation ✔️ Overcoming obstacles to meditation December: Rest & Reflection Warm the heart and calm the mind before the holidays. ✔️ Body-based awareness ✔️ Reviewing your progress ✔️ Meditations for resilience ✔️ Peaceful practices for winter January: Meditation for Positive Emotions Start the year with joy, love, and purpose. ✔️ Heart-opening meditations ✔️ Gratitude & happiness ✔️ Intention-setting with optional cacao ceremony ✔️ Emotional healing & connection February: Meditation for Well-Being A holistic approach to health from the inside out. ✔️ Four foundations of mindfulness ✔️ Forgiveness (including Huna meditations) ✔️ Body-mind connection ✔️ Compassion and curiosity March: Deeper into Meditation Explore advanced techniques with renewed clarity. ✔️ Insight, wisdom, open-heartedness ✔️ Posture & Nine-Cycle Breathing ✔️ Concentration & mental clarity ✔️ Appreciation for life April: Meditation for Relaxation Recharge your nervous system with rest-focused meditations. ✔️ Body scan & breath awareness ✔️ Guided deep relaxation ✔️ Calming anxiety & overactivity ✔️ Rest as a radical act May: The Art of Living Live with intention and reverence. ✔️ Meditation on impermanence & emptiness ✔️ Self-love & emotional nourishment ✔️ Present moment awareness ✔️ Breath as a life companion June: Meditation on Inner Peace End the year rooted, spacious, and unshakable. ✔️ Letting go of resistance ✔️ Unflappability & mental resilience ✔️ Responsibility & self-awareness ✔️ Lasting inner calm and clarity 💷 Pricing Options Online sessions: £10 each In-person sessions: £15 each Join the Guided Minds Meditation Community for £28/month ✓ Includes all sessions (online & in-person) ✓ Unlimited access to recordings ✓ Bonus practices & group support 🌱 Ready to begin? Each month offers a new opportunity to reset, reflect and grow. Join any time, or commit to the full year and transform your relationship with your mind, body and life.

Guided Minds Meditation Programme.
Delivered in Harrogate + 1 more or Online + more
£10 to £15

18th Edition Wiring Regulations City and Guilds 2382-22

4.7(1243)

By Technique Learning Solutions

Course Description: The 18th edition course is a 3 day short course aimed at anyone involved in the design, construction and inspection and testing of electrical systems, also a nationally recognised ‘must have’ qualification for companies seeking to recruit electricians. It is intended to introduce the candidate to a working knowledge of the Wiring Regulations along with a brief overview of the Electricity at Work Regulations covering their statutory duties. Previous knowledge of the regulations is not assumed, however, a fundamental knowledge of electrical principles is assumed. Please be aware that the Wiring Regulations course is not designed to teach you every regulation in the book but it will teach you the best practices on how the reference the latest regulations as you would on the job. As such key topics currently covered on the 17th Edition will still be included. We have been delivering Wiring Regulations courses for many years and although it is mainly theory based you cannot beat real training in a real classroom. By training with other people in your class you will benefit from being able to ask relevant questions as well as finding the answers to many questions from your fellow students that you may not have even thought of. The examination is a 2 hour multiple choice, open book PC based examination with instant results. The course cost includes examination entry fees. Focus: You will study the latest standard of the IET wiring regulations, including essential subjects such as safety, selection and erection of electrical equipment. There are 8 key modules and current amendments: Section 1 – Scope, Object and FundamentalsSection 2 – DefinitionsSection 3 – Assessment of general characteristicsSection 4 – Protection for SafetySection 5 – Selection and Erection of equipmentSection 6 – Inspection & TestingSection 7 – Special Installations or locationsSection 8 – Functional Requirements This course does include the latest amendments such as: Electromagnetic Disturbance Surge Protection Medical locations Operating and Maintenance Gangways Arc Fault Detection Devices (AFDDs) Changes to fire safety requirements in chapter 422, covering the design of electrical installations in industrial, commercial and multiple-occupancy homes, as well as new information for ‘protected escape routes’ Protection against over voltages Changes across Part 7: Special Locations This classroom based course will show, teach and perfect you on how to reference and use the book for situations that you will encounter while working in the field.

18th Edition Wiring Regulations City and Guilds 2382-22
Delivered in Clay Cross + 1 more or Online + more
£500

AM2/AM2E/AM2S Assessment

4.7(1243)

By Technique Learning Solutions

What is the AM2 assessment? The AM2 assessment is an industry recognised trade test designed to evidence that candidates have gained all relevant and safety-critical competencies during their training process. It provides a single standard that has been agreed upon by employers within the electrical industry, giving a reliable and trusted guarantee of safe, high-quality skills for the electrotechnical industry. Who is this for? This is aimed at apprentices who are coming to the end of their training for the JIB apprentice training scheme and the Installation of modern apprenticeships. This course is also for experienced electricians, specifically those who are looking at taking the experienced worker route (AM2E.) There are a range of assessments for candidates based on their level: AM2 – This is for candidates undertaking the JIB mature candidate assessments and those following the level three NVQ who isn’t an apprentice. AM2S – This is for electrotechnical apprentices who are training against the apprenticeship standard AM2E – This is for experienced workers who are completing the experienced worker assessment. Please note: this can only be taken once you have gained the experienced worker qualification, proof must be provided before booking the AM2 assessment. What does this assessment consist of? Overall, the AM2 is an in-depth assessment carrying out tasks to show what you have learnt on your training. It is a practical assessment with five sections (six for AM2E and AM2S) and a short online component. Candidates will be expected to install, connect, terminate, inspect, test, commission and diagnose faults, following installation specifications provided and any relevant statutory and non-statutory regulations on: A three-phase distribution board and subcircuit A central heating/sustainable energy system Lighting and power circuits A data cabling system A safety services circuit and device Installation of containment systems (AM2E and AM2S only) Candidates will complete timed tasks in equipped areas that contain typical electrical installation wiring systems – all work must comply with BS7671 Wiring Regulations, industry best practice, and meet the requirements of relevant health and safety legislation. The assessment will be carried out in strict exam conditions across 2.5 days. Do I need an AM2 certificate to work as an electrician? Apprentices must pass their AM2 test in their final year to complete their apprenticeship. Also, if the apprenticeship standard is not being followed, an AM2 certificate and a level three NVQ is required to gain a gold card. If you are already working as an electrician, you will not need an AM2 certificate. If you are training to be an electrician and are registering for your NVQ level three in Electrical Installation or Maintenance, the electrotechnical diploma now includes the AM2. The AM2 certification is an industry recognised and something that many employers will actively seek when hiring new staff. It can also be attractive to potential customers.

AM2/AM2E/AM2S Assessment
Delivered in Clay Cross or Online + more
£500

TACR 20

4.7(1243)

By Technique Learning Solutions

Our intensive 10, 15 or 20 day Total Air Conditioning and Refrigeration training courses have been structured to meet the ever increasing demands on industry to meet safety, environmental and legal requirements regarding installation, commissioning, service and maintenance of both refrigeration and air conditioning systems including the electrical aspects of installation dependent upon course selection. The first 10 days of the Total Air Conditioning and Refrigeration training course are mechanical only, the following 5 or 10 days are the electrical aspects, depending on which route you need to go down. The Total Air Conditioning and Refrigeration training courses are accredited with the City & Guilds 2079, BESA Pipework and Brazing – (commercial), along with an EAL Unit* – Maintenance of Refrigeration Systems from the EAL Certificate in Engineering Technology (QCF) qualification. (*Practical elements will be covered during the course with a Project booklet to be completed by the student with an element of self-study after the course completion for us to claim the Unit certification from EAL). Our Total Air Conditioning and Refrigeration training courses are designed to be as practical as they possibly can be, with workshop time taking more than 70% of the course. During the Total Air Conditioning and Refrigeration training course, you will, install, repair, fault find, adapt and commission on a variety of different equipment, because we believe the way to learn is to do it!! With ALL our courses we offer unbiased technical support and access to a wealth of knowledge and information upon completion. Once you’ve completed your course with Technique, you can be assured that our service doesn’t end there…

TACR 20
Delivered in Clay Cross or Online + more
£500

TACR 15

4.7(1243)

By Technique Learning Solutions

Our intensive 10, 15 or 20 day Total Air Conditioning and Refrigeration training courses have been structured to meet the ever increasing demands on industry to meet safety, environmental and legal requirements regarding installation, commissioning, service and maintenance of both refrigeration and air conditioning systems including the electrical aspects of installation dependent upon course selection. The first 10 days of the Total Air Conditioning and Refrigeration training course are mechanical only, the following 5 or 10 days are the electrical aspects, depending on which route you need to go down. The Total Air Conditioning and Refrigeration training courses are accredited with the City & Guilds 2079, BESA Pipework and Brazing – (commercial), along with an EAL Unit* – Maintenance of Refrigeration Systems from the EAL Certificate in Engineering Technology (QCF) qualification. (*Practical elements will be covered during the course with a Project booklet to be completed by the student with an element of self-study after the course completion for us to claim the Unit certification from EAL). Our Total Air Conditioning and Refrigeration training courses are designed to be as practical as they possibly can be, with workshop time taking more than 70% of the course. During the Total Air Conditioning and Refrigeration training course, you will, install, repair, fault find, adapt and commission on a variety of different equipment, because we believe the way to learn is to do it!! With ALL our courses we offer unbiased technical support and access to a wealth of knowledge and information upon completion. Once you’ve completed your course with Technique, you can be assured that our service doesn’t end there…

TACR 15
Delivered in Clay Cross or Online + more
£500

TACR 10

4.7(1243)

By Technique Learning Solutions

Our intensive 10, 15 or 20 day Total Air Conditioning and Refrigeration training courses have been structured to meet the ever increasing demands on industry to meet safety, environmental and legal requirements regarding installation, commissioning, service and maintenance of both refrigeration and air conditioning systems including the electrical aspects of installation dependent upon course selection. The first 10 days of the Total Air Conditioning and Refrigeration training course are mechanical only, the following 5 or 10 days are the electrical aspects, depending on which route you need to go down. The Total Air Conditioning and Refrigeration training courses are accredited with the City & Guilds 2079, BESA Pipework and Brazing – (commercial), along with an EAL Unit* – Maintenance of Refrigeration Systems from the EAL Certificate in Engineering Technology (QCF) qualification. (*Practical elements will be covered during the course with a Project booklet to be completed by the student with an element of self-study after the course completion for us to claim the Unit certification from EAL). Our Total Air Conditioning and Refrigeration training courses are designed to be as practical as they possibly can be, with workshop time taking more than 70% of the course. During the Total Air Conditioning and Refrigeration training course, you will, install, repair, fault find, adapt and commission on a variety of different equipment, because we believe the way to learn is to do it!! With ALL our courses we offer unbiased technical support and access to a wealth of knowledge and information upon completion. Once you’ve completed your course with Technique, you can be assured that our service doesn’t end there…

TACR 10
Delivered in Clay Cross or Online + more
£500

Educators matching "Design"

Show all 9
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