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828 Design courses in Leominster

Introduction to Design Thinking: In-House Training

By IIL Europe Ltd

Introduction to Design Thinking: In-House Training Innovation is the cornerstone of highly successful companies, especially those that continue to be successful over the years and decades. Design thinking practices fuel this continual innovation, as they are the critical links from inspiration to delivery, concept to showroom floor, and start-up to global business. Design thinking is a structured approach to promoting innovation and creative problem-solving. It is not a new approach. It has been around for centuries, as the art, architecture, and inventions of mankind illustrate. By examining the steps to achieving great design and maximum utility of product, design thinking approaches provide a framework in which to develop new solutions to problems and new products to sell. This highly interactive course is designed to help participants think like designers to generate innovation, and to help teams to produce more innovation and creativity. Since design thinking is based on doing rather than thinking, we participants are challenged to apply the techniques, in the classroom, to create new ideas and solutions to a case study project. What you will Learn At the end of this program, you will be able to: Explain the underlying principles and value of using Design Thinking for innovation Describe the basic concepts of the Stanford Model for Design Thinking Evaluate a set of basic Design Thinking techniques for application to your projects Apply tools, techniques, and skills aligned with the 5 stages of the Stanford Model Drive innovation through Design Thinking at some level in your work environment Foundation Concepts Problems and solutions The Design Thinking difference Design Thinking skills and abilities Design Thinking mindset Design Thinking frameworks Stages of Design Thinking Problems and solutions The Design Thinking difference Design Thinking skills and abilities Design Thinking mindset Design Thinking frameworks General Practices Team formation Visualization Improvisation Personalization Empathize Practices Overview of Empathize techniques Observation Engagement Interviews Define Practices Overview of Define practices Unpacking techniques Defining the customer techniques Integrating the Define experience Ideate Practices Overview of Ideate practices Reusable techniques for the Ideate stage New Ideate techniques to explore Prototype & Test Practices Overview of Prototype practices Examples of prototypes Overview of Testing practices Forms of testing techniques Adopt and Adapt Design Thinking Overview of Design Thinking implementation Design Thinking implementation challenges Success in implementing Design Thinking Summary and Next Steps Workshop summary Next steps: Personal Action Plans

Introduction to Design Thinking: In-House Training
Delivered in London or UK Wide or OnlineFlexible Dates
£1,295

UI/UX Design Using Adobe XD

5.0(10)

By GBA Corporate

Overview This course will give you a whole tour of how to enhance your skills as a UI/UX Design using Adobe. It is very important to master the basics of web and visual design because that is important for UI design eg designing buttons, typography, drop shadow etc. With having a good foundation in visual and web design become an essential key to become a skilled UI/UX Designer.

UI/UX Design Using Adobe XD
Delivered in Internationally or OnlineFlexible Dates
£1,718 to £3,626

Design Thinking and Agile Management

5.0(10)

By GBA Corporate

Overview In this competitive era no matter how much hard work and solid efforts are contributed still, too many projects end up creating unneeded and unsellable products. There is a significant risk that the outcome of the project may not be relevant to the client/user requirements or become outdated when needs change. Here is where Design Thinking and Agile Management play their role. The combination of Agile and Design Thinking should be used in order to achieve impactful outcomes. Agile and design thinking together works well and gives an effective approach to product development, one that results in efficient resolutions to significant problems. In this course, you'll learn how to define and determine what's important to a user primary in the process, to frontload value, by directing your team on testable narratives about the user and generating an effectively shared perspective. For more dates and Venue, Please email sales@gbacorporate.co.uk

Design Thinking and Agile Management
Delivered in Internationally or OnlineFlexible Dates
FREE to £1,718

Diploma in Architecture and Interior Design Diploma 1-2-1

By Real Animation Works

Face to face One to one.

Diploma in Architecture and Interior Design Diploma 1-2-1
Delivered in Internationally or OnlineFlexible Dates
£4,000

Jewellery Design Course - Create Personalised Jewellery (Blender)

By FluidDesigner

Learn to use 3D printing software to design and create your own pendants, earrings, rings and bracelets. The course is on a one-to-one basis. If you want to be in the jewellery trade as a designer and seller of modern jewellery or you simply want to create designs for yourself and your family then you should be learning how to create your own designs using apps such as Fluid Designer for 3D Printing.

Jewellery Design Course - Create Personalised Jewellery (Blender)
Delivered In-Person in London or UK WideFlexible Dates
£245

Network design

5.0(3)

By Systems & Network Training

Network design training course description This course provides you with the knowledge needed to perform the design of a network infrastructure that supports desired network solutions to achieve effective performance, scalability, and availability. We recognise that the role of design does not normally require hands on skills but hands on sessions are used to reinforce the theory not to teach configuration or troubleshooting. What will you learn Create HA enterprise network designs. Develop optimum Layer 3 designs. Design effective modern WAN and data center networks. Develop effective migration approaches to IPv6. Create effective network security designs. Network design training course details Who will benefit: Anyone involved with network design. Prerequisites: TCP/IP Foundation for engineers Duration 5 days Network design training course contents Part I Reliable, resilient enterprise L2/3 network designOptimal Enterprise Campus Design:Enterprise campus design principles, hierarchy, modularity, flexibility, resiliency.EIGRP design:EIGRP Design, Should you use EIGRP?OSPF design: OSPF scalability designs, OSPF area design, OSPF Full-Mesh Design, OSPF Hub-and-Spoke Design, OSPF convergence design and optimization techniques. IS-IS Design:The protocol, IS-IS hierarchical architecture, IS-IS vs OSPF, IS-IS Deep Dive, IS-IS Design Considerations. BGP design:BGP overview, Designing Scalable iBGP Networks, BGP Route Reflector Design, Enhancing the Design of BGP Policies with BGP Communities, Case Study: Designing Enterprise wide BGP Policies Using BGP Communities, BGP Load-Sharing Design.Part II Enterprise IPv6 Design ConsiderationsIPv6 Design Considerations in the Enterprise: IPv6 Deployment and Design Considerations, Considerations for Migration to IPv6 Design, IPv6 Transition Mechanisms, Final Thoughts on IPv6 Transition Mechanisms. Challenges of the Transition to IPv6: IPv6 Services, Link Layer Security Considerations. Part III Modern Enterprise Wide-Area Networks DesignService Provider-Managed VPNs:Choosing Your WAN Connection, Layer 3 MPLS VPNs, Case Study: MPLS VPN Routing Propagation, Layer 2 MPLS VPN Services. Enterprise-Managed WANs: Enterprise-Managed VPNs, GRE, Multipoint GRE, Point-to-Point and Multipoint GRE, IPsec, IPsec and dynamic VTI, DMVPN, Case Study: EIGRP DMVPN, DMVPN and Redundancy, Case Study: MPLS/VPN over GRE/DMVPN, SSL VPN. Enterprise WAN Resiliency Design: WAN Remote-Site Overview, MPLS L3 WAN Design Models, Common L2 WAN Design Models, Common VPN WAN Design Models, 3G/4G VPN Design Models, Remote Site Using Local Internet, Remote-Site LAN, Case Study: Redundancy and Connectivity, NGWAN, SDWAN, and IWAN Solution Overview, IWAN Design Overview, Enterprise WAN and Access Management. Part IV Enterprise Data Center DesignsMultitier Data Center Designs: Case Study: Small Data Centers (Connecting Servers to an Enterprise LAN), Case Study: Two-Tier Data Center Network Architecture, Case Study: Three-Tier Data Center Network Architecture.Trends and Techniques to Design Modern Data Centers: The Need for a New Network Architecture, Limitations of Current Networking Technology, Modern Data Center Design Techniques and Architectures, Multitenant Data Center. SDN:SDN characteristics, How SDN addresses current Networking Limitations, SDN Architecture Components, SDN Network Virtualization overlays. Data Center Connections:Data Center Traffic Flows, The Need for DCI, IP Address Mobility, Case Study: Dark Fiber DCI, Pseudowire DCI. Part V Design QoS for Optimized User ExperienceQoS Overview:QoS Overview, IntServ versus DiffServ, Classification and Marking, Policers and Shapers, Policing Tools: Single-Rate Three-Color Marker, Policing Tools: TwoRate Three-Color Marker, Queuing Tools, Dropping Tools. QoS design principles and best practices: QoS overview, classification and marking design principles, policing and remarking design principles, queuing design principles, dropping design principles, Per-Hop behavior queue design principles, RFC 4594 QoS Recommendation, QoS Strategy Models. Campus QoS, WAN QoS, Data Center QoS.MPLS VPN QoS Design: The Need for QoS in MPLS VPN, Layer 2 Private WAN QoS Administration, Fully Meshed MPLS VPN QoS Administration, MPLS DiffServ Tunneling Modes, Sample MPLS VPN QoS Roles. IPsec VPN QoS Design: The Need for QoS in IPsec VPN, VPN Use Cases and Their QoS Models, IPsec Refresher, Encryption and Classification: Order of Operations, MTU Considerations, DMVPN QoS Considerations. Part VI IP Multicast DesignEnterprise IP Multicast Design: How Does IP Multicast Work? Multicast Protocols, Multicast Forwarding and RPF Check, Multicast Protocol Basics, PIM-SM Overview, Multicast Routing Table, Basic SSM Concepts, Bidirectional PIM. RP discovery, Anycast RP Features, MSDP. Part VII Designing Optimum Enterprise Network SecurityDesigning Security Services and Infrastructure Protection Network Security Zoning, Designing Infrastructure Protection.Designing firewall & IPS solutions: Firewall architectures, virtualized firewalls. Case Study: Application Tier separation, Case Study: Firewalls in a Data Center, Case Study: Firewall High Availability, IPS Architectures, Case Study: Secure Campus Edge Design (Internet and Extranet Connectivity). IP Multicast Security: Multicast Security Challenges, Multicast Network Security Considerations. Designing Network Access Control Solutions:IEEE 802.1X, EAP, 802.1X supplicants, 802.1X phased deployment, Case Study: Authorization Options. Part VIII Design scenariosDesign Case Studies: 1: Enterprise Connectivity, 2: Enterprise BGP with Internet Connectivity, 3: IPv6, 4: Data Center Connectivity, 5: Resilient Enterprise WAN, 6: Secure Enterprise Network, 7: QoS in the Enterprise Network.

Network design
Delivered in Internationally or OnlineFlexible Dates
£3,697

Database design

5.0(3)

By Systems & Network Training

Database design training course description Although this course mentions Microsoft Access the same course can be run with a variety of different databases. The duration of the course is dependent on the experience of the delegates. What will you learn Name and give 3 types of database structure. Explain the difference between standard SQL and different flavours. Use SQL statements to query databases. Use SQL statements to query and define databases. Describe the principles of relational database design and 3 types of relational joins. Normalise a given flat file table into relational tables. Database design training course details Who will benefit: Anyone who needs to be able to design an efficient, watertight database following the best practice of the principles of Relational Database design. Prerequisites: None. Duration 3 days Database design training course contents Database structure and terminology. Principles of Relational Database Design. Types of relationship. Normal Forms. Practical examples of relational database design. Hands-on creation of a database. On paper design a relational database applicable to the delegates work.

Database design
Delivered in Internationally or OnlineFlexible Dates
£2,367

About this Training Course This 5 full-day course is aimed at engineers and supervisors who already have a basic understanding of well construction methods but who would benefit from a more detailed knowledge of completion design. The course will concentrate on the important aspects of completion design and what makes a safe and efficient well. A common thread of practical examples will be used throughout the course in the form of a case study or 'red-thread' exercise. The case study is based around data all taken from a single field where those attending will work through all the basic issues of a completion design. The exercises associated with the case study is performed in the student's own time after each of the formal sessions. However, at the start of the next day, the case study is reviewed and discussed. The whole case study will continue through all sessions, with each element being reviewed at the start of the next session. There is no 'right' answer to the exercise - producing interesting discussions! The purpose of the course is not to go over specific equipment in detail. Teaching methods include presentations, videos, and animations and the case study. The course will cover: Types and configurations of completions The completion design process Inflow performance, skin and formation damage Perforating; selection, deployment and interface with rest of completion Stimulation and impact on completion and flow performance with coverage of modern horizontal multifrac tools Open hole, non-sand control completions including open hole packers and horizontal well clean up Sand control; when do you need it, basic types and selection guidelines. Includes standalone screens, ICDs, various gravel packing techniques, frac packs and expandable screens Tubing sizing, flow estimation and liquid loading Artificial lift; types and selection criteria, interface with drilling, reservoir and facilities. Design of gas lift and ESPs included Production chemistry impacts on completion, prevention and removal (scales, wax, asphaltene, hydrates, and souring) Metallurgy, corrosion, and erosion; metal types and selection of Elastomers and plastics; types and selection of Tubing stress analysis; picking the grade and weight of tubing, plus selection criteria for packers and expansion devices. Interface between tubing stress analysis and casing design Completion equipment; basic types of equipment, reliability and selection criteria for each (tree, safety valve, mandrel, packers, expansion devices etc) Completion installation; importance of wellbore clean-out, function and types of brines, pointers for efficient completion installation Non-conventional wells; types and when / where to use them (multilaterals, smart (intelligent) wells and also SAGD, CO2 sequestration, CBM, etc) Training Objectives By the end of this course, the participants should be able to: Have a good understanding of the completion design process and what makes a good completion design Understand the importance of the installation process (completion running) in the design process Have an appreciation of new and developing completion techniques (intelligent wells) Target Audience This course will benefit engineers and field-based personnel such as completion supervisors and production engineers. It is also suitable for completion vendors, specialists such as chemists and subsurface personnel including geologists, reservoir engineers and petrophysicists. Trainer Your expert course leader has 30 years of oil and gas industry experience. A first class degree in geophysics and a master degree in Petroleum Engineering was a prelude to seven years with BP as a petroleum engineer. He left BP and following a short spell in Camco, jointly founded ICE Energy. After six years of completions and petroleum engineering consultancy and training, ICE Energy merged with TRACS International, where he continued with petroleum and completion engineering studies, leading integrated teams, and developing / delivering training courses for a variety of different clients in diverse world-wide locations. In the last five years, he is independent again - focusing on technical consulting and course delivery. POST TRAINING COACHING SUPPORT (OPTIONAL) To further optimise your learning experience from our courses, we also offer individualized 'One to One' coaching support for 2 hours post training. We can help improve your competence in your chosen area of interest, based on your learning needs and available hours. This is a great opportunity to improve your capability and confidence in a particular area of expertise. It will be delivered over a secure video conference call by one of our senior trainers. They will work with you to create a tailor-made coaching program that will help you achieve your goals faster. Request for further information post training support and fees applicable Accreditions And Affliations

Completion Design
Delivered in Internationally or OnlineFlexible Dates
£4,385 to £5,099

Object Oriented Analysis & Design

5.0(3)

By Systems & Network Training

OOAD training course description A workshop course providing thorough practical knowledge of object oriented analysis and design methods. What will you learn Perform Systems Analysis with Object Oriented methods. Identify key classes and objects. Expand and refine OO problem domain models. Design Class hierarchies using inheritance and polymorphism. Design programs with Object Oriented methods. OOAD training course details Who will benefit: System analysts, designers, programmers and project managers. Prerequisites: It is desirable that delegates have experience of programming in C++/Java or some other OOP language. Duration 5 days OOAD training course contents What is OO? Classes, objects, messages, encapsulation, associations, inheritance, polymorphism, reusability. What is Systems Analysis and design? Data flow diagrams, structure diagrams. The OO approach. OOA The problem domain and object modelling. Identifying classes and objects. Generalisation and inheritance. Defining attributes and methods. OOD Refining the OOA results. Designing the User Interface. Designing the algorithms and data structures using objects. Designing the methods. OOP Prototyping. Implementing OOD with OOPs and OOPLs.

Object Oriented Analysis & Design
Delivered in Internationally or OnlineFlexible Dates
£4,637

C&G 2396 Electrical Design Course

5.0(9)

By Optima Electrical Training

This Level 4 City and Guilds 2396-01 Design and Verification of Electrical Installations course has been designed to help develop the skills and up date the knowledge of the requirements to enable you to professionally design, erect and then verify an electrical installation. This course is aimed at those who will have responsibility for designing, supervising, installing and testing electrical installations. Further information can be found here: C&G 2396 Electrical Design Course — Optima Electrical Training (optima-ect.com)

C&G 2396 Electrical Design Course
Delivered In-Person in London + 2 more or UK WideFlexible Dates
£1,195

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