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2 Sketching courses in Leominster

WYLLIE FOX ART TUITION

By Wyllie Fox Tuition

Francesca Wyllie (BA Hons Fine Art) has an amazing north-facing art studio at El Retiro in Andalucia, which was purpose-built to accommodate painting groups. Bespoke painting and sculpture workshops can be arranged or Francesca can travel locally to guide you in your own studios or locations.

WYLLIE FOX ART TUITION
Delivered in-person, on-requestDelivered In-Person in UK Wide
£26

PORTRAITS, PET PORTRAITS AND COMMISSIONS

By Wyllie Fox Tuition

Commission an original, traditional and quirky Portrait in oils, acrylics or digital sketches

PORTRAITS, PET PORTRAITS AND COMMISSIONS
Delivered in-person, on-requestDelivered In-Person in UK Wide
£75 to £645

Online Options

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Summer Sketchbook course

By Airtily

Sketchbooks are for more than just sketching! In this series of workshops, we’ll explore ways of using a sketchbook to experiment, research, and develop your own creative ideas, leading you towards developing your own unique body of work. Incorporating drawing, painting, collage, writing, and crafting, this workshop will get you trying new things in a small, welcoming group all summer long. During the live Zoom sessions, we'll try out specific ways of using your sketchbook to develop creative ideas. You'll also have a chance to share what you've been working on, and be inspired by the work of others (sharing is encouraged but always completely optional). In between live sessions, we’ll fill our sketchbooks up with writing and images prompted by a series of creative assignments which will have us out exploring the natural and built environment (although many of them can also be completed from the comfort of home). Each participant will be encouraged to deepen their explorations in whatever direction interests them most - be it a series of written reflections, sketches, collages, photographs, mixed-media pieces, or a unique, personal combination of all these. This small-group course includes six live sessions (via Zoom) with Julie, and ‘homework assignments’ for participants to complete in between live sessions. There will be an optional Facebook group for participants to stay connected and share their creations with each other between sessions. You are welcome to join in from any place in the world. The group will be kept small to ensure plenty of opportunities for interaction, sharing, and feedback.

Summer Sketchbook course
Delivered Online2 hours, Jun 18th, 17:00 + 5 more
£225

Online Art Course 17th April 2024

By ArtwithTricia

During this 12 week course you will have the opportunity to work on your own project ideas to explore your different media choices.

Online Art Course 17th April 2024
Delivered Online2 hours, Jun 19th, 09:00 + 3 more
£125

Landscape Sketching Masterclass

4.8(8)

By Skill Up

Acquire a remarkable, lifetime practicable skill of sketching with this mind blowing Landscape Sketching Masterclass course. This epic

Landscape Sketching Masterclass
Delivered Online On Demand
£25

Sketching Course for Animators

By Lead Academy

SKETCHING COURSE FOR ANIMATORS OVERVIEW Whether you are self-taught and you want to fill in the gaps for better efficiency and productivity, this sketching for animators course will set you up with a solid foundation to become a confident animator expert/sketching for 2D animation and develop more advanced skills. This comprehensive sketching for animators course is the perfect way to kickstart your career in the field of sketching for 2D animation. This course will give you a competitive advantage in your career, making you stand out from all other applicants and employees. As one of the leading course providers and most renowned e-learning specialists online, we're dedicated to giving you the best educational experience possible. This course is crafted by industry expert, to enable you to learn quickly and efficiently, and at your own pace and convenience. WHO SHOULD TAKE THIS COURSE? This comprehensive sketching for animators course is suitable for anyone looking to improve their job prospects or aspiring to accelerate their career in this sector and want to gain in-depth knowledge of sketching for 2D animation. ENTRY REQUIREMENT * There are no academic entry requirements for this sketching for animators course, and it is open to students of all academic backgrounds. * As long as you are aged seventeen or over and have a basic grasp of English, numeracy and ICT, you will be eligible to enrol. METHOD OF ASSESSMENT On successful completion of the course, you will be required to sit an online multiple-choice assessment. The assessment will be evaluated automatically and the results will be given to you immediately. CAREER PATH This sketching for animators course opens a brand new door for you to enter the relevant job market and also provides you with the chance to accumulate in-depth knowledge at the side of needed skills to become flourishing in no time. You will also be able to add your new skills to your CV, enhance your career and become more competitive in your chosen industry. COURSE CURRICULUM Introduction Introduction: I'm Not 'That' Good at Drawing, I'm Just Decent The Law of 100 Why Sketching and Not Drawing Sketching What You Love - Your Favorite References Practicing Exercises Measuring Proportions Duplicating References Using Coordinates Drawing Exercises - Circles and Lines Sketching Sketching Basic 2D Shapes and Props Sketching Basic 3d Shapes Drawing Perspective Sketching a 3D Scene Sketching Simple Characters Sketching Poses 2d Sketching Poses 3d Sketch Thumbnails for Action Tips for Drawing Hands RECOGNISED ACCREDITATION CPD CERTIFICATION SERVICE This course is accredited by continuing professional development (CPD). CPD UK is globally recognised by employers, professional organisations, and academic institutions, thus a certificate from CPD Certification Service creates value towards your professional goal and achievement. CPD certificates are accepted by thousands of professional bodies and government regulators here in the UK and around the world. Many organisations look for employees with CPD requirements, which means, that by doing this course, you would be a potential candidate in your respective field. QUALITY LICENCE SCHEME ENDORSED The Quality Licence Scheme is a brand of the Skills and Education Group, a leading national awarding organisation for providing high-quality vocational qualifications across a wide range of industries. It will give you a competitive advantage in your career, making you stand out from all other applicants and employees.     CERTIFICATE OF ACHIEVEMENT ENDORSED CERTIFICATE FROM QUALITY LICENCE SCHEME After successfully passing the MCQ exam you will be eligible to order the Endorsed Certificate by Quality Licence Scheme. The Quality Licence Scheme is a brand of the Skills and Education Group, a leading national awarding organisation for providing high-quality vocational qualifications across a wide range of industries. It will give you a competitive advantage in your career, making you stand out from all other applicants and employees. There is a Quality Licence Scheme endorsement fee to obtain an endorsed certificate which is £65. CERTIFICATE OF ACHIEVEMENT FROM LEAD ACADEMY After successfully passing the MCQ exam you will be eligible to order your certificate of achievement as proof of your new skill. The certificate of achievement is an official credential that confirms that you successfully finished a course with Lead Academy. Certificate can be obtained in PDF version at a cost of £12, and there is an additional fee to obtain a printed copy certificate which is £35.   FAQS IS CPD A RECOGNISED QUALIFICATION IN THE UK? CPD is globally recognised by employers, professional organisations and academic intuitions, thus a certificate from CPD Certification Service creates value towards your professional goal and achievement. CPD-certified certificates are accepted by thousands of professional bodies and government regulators here in the UK and around the world. ARE QLS COURSES RECOGNISED? Although QLS courses are not subject to Ofqual regulation, they must adhere to an extremely high level that is set and regulated independently across the globe. A course that has been approved by the Quality Licence Scheme simply indicates that it has been examined and evaluated in terms of quality and fulfils the predetermined quality standards. WHEN WILL I RECEIVE MY CERTIFICATE? For CPD accredited PDF certificate it will take 24 hours, however for the hardcopy CPD certificate takes 5-7 business days and for the Quality License Scheme certificate it will take 7-9 business days. CAN I PAY BY INVOICE? Yes, you can pay via Invoice or Purchase Order, please contact us at info@lead-academy.org for invoice payment. CAN I PAY VIA INSTALMENT? Yes, you can pay via instalments at checkout. HOW TO TAKE ONLINE CLASSES FROM HOME? Our platform provides easy and comfortable access for all learners; all you need is a stable internet connection and a device such as a laptop, desktop PC, tablet, or mobile phone. The learning site is accessible 24/7, allowing you to take the course at your own pace while relaxing in the privacy of your home or workplace. DOES AGE MATTER IN ONLINE LEARNING? No, there is no age limit for online learning. Online learning is accessible to people of all ages and requires no age-specific criteria to pursue a course of interest. As opposed to degrees pursued at university, online courses are designed to break the barriers of age limitation that aim to limit the learner's ability to learn new things, diversify their skills, and expand their horizons. WHEN I WILL GET THE LOGIN DETAILS FOR MY COURSE? After successfully purchasing the course, you will receive an email within 24 hours with the login details of your course. Kindly check your inbox, junk or spam folder, or you can contact our client success team via info@lead-academy.org

Sketching Course for Animators
Delivered Online On Demand
£25

Online bookbinding and sketching course with kit

5.0(5)

By The Arienas Collective

Online bookbinding and sketching course hosted exclusively by The Arienas Collective and run by local artists Cass Barron of Bookbinding with Cass, and Mark Kirkham, the Edinburgh Sketcher

Online bookbinding and sketching course with kit
Delivered Online On Demand
£130

Pencil Art and Sketching Diploma

4.7(160)

By Janets

Unlock your artistic potential with our Pencil Art and Sketching Diploma. Immerse yourself in a comprehensive program that covers fundamental techniques, advanced skills, and creative concepts. Perfect for beginners and enthusiasts alike, this diploma offers expert guidance to refine your pencil artistry. Elevate your sketching abilities and bring your ideas to life with our engaging curriculum. Enroll now to embark on a journey of self-expression through the timeless and versatile medium of pencil art.

Pencil Art and Sketching Diploma
Delivered Online On Demand
£25

Sketching Human

4.7(160)

By Janets

The Sketching Human is a wonderful learning opportunity for anyone who has a passion for this topic and is interested in enjoying a long career in the relevant industry. It's also for anyone who is already working in this field and looking to brush up their knowledge and boost their career with a Certificate of Achievement. This Sketching Human consists of several modules that take around 2 hours to complete. The course is accompanied by instructional videos, helpful illustrations, how-to instructions and advice. The course is offered online at a very affordable price. That gives you the ability to study at your own pace in the comfort of your home. You can access the modules from anywhere and from any device. WHY CHOOSE THIS COURSE * Earn a digital Certificate upon successful completion. * Accessible, informative modules taught by expert instructors * Study in your own time, at your own pace, through your computer tablet or mobile device * Benefit from instant feedback through mock exams and multiple-choice assessments * Get 24/7 help or advice from our email and live chat teams * Full Tutor Support on Weekdays COURSE DESIGN The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace. You are taught through a combination of * Video lessons * Online study materials * Mock exams * Multiple-choice assessment CERTIFICATE OF ACHIEVEMENT ENDORSED CERTIFICATE OF ACHIEVEMENT FROM THE QUALITY LICENCE SCHEME Once the course has been completed and the assessment has been passed, all students are entitled to receive an endorsed certificate. This will provide proof that you have completed your training objectives, and each endorsed certificate can be ordered and delivered to your address for only £69. Please note that overseas students may be charged an additional £10 for postage. CPD CERTIFICATE OF ACHIEVEMENT FROM JANETS Upon successful completion of the course, you will be able to obtain your course completion e-certificate. Print copy by post is also available at an additional cost of £9.99 and PDF Certificate at £4.99. ENDORSEMENT This course and/or training programme has been endorsed by the Quality Licence Scheme for its high-quality, non-regulated provision and training programmes. This course and/or training programme is not regulated by Ofqual and is not an accredited qualification. Your training provider will be able to advise you on any further recognition, for example progression routes into further and/or higher education. For further information please visit the Learner FAQs on the Quality Licence Scheme website. Method of Assessment In order to ensure the Quality Licensing scheme endorsed and CPD acknowledged certificate, learners need to score at least 60% pass marks on the assessment process. After submitting assignments, our expert tutors will evaluate the assignments and give feedback based on the performance. After passing the assessment, one can apply for a certificate. COURSE CONTENT Introduction Introduction 00:01:00 Materials and Styles Materials and Syles 00:09:00 Human Proportions Human proportions - A rule of thumb 00:18:00 Human Proportions - Exercise 00:04:00 Why is it important to sketch - The beginner´s mistakes 00:07:00 Weight and Balance Balance 00:18:00 Perspective Perspective - Lesson 1 00:06:00 Perspective - Lesson 2 00:04:00 Perspective - Lesson 3 00:06:00 Life Drawing Choose your model 00:04:00 Life Drawing - How to approach it 00:04:00 From theory to pracitse 00:10:00 Life Drawing - A different approach 00:10:00 Life Drawing - Yet another approach 00:07:00 Life Drawing - A third approach to sketching 00:05:00 What are your sketches good for 00:09:00 Assignment Assignment - Sketching Human 5 days, 3 hours Order Your Certificate Order your Certificate QLS 00:00:00 FREQUENTLY ASKED QUESTIONS Are there any prerequisites for taking the course? There are no specific prerequisites for this course, nor are there any formal entry requirements. All you need is an internet connection, a good understanding of English and a passion for learning for this course. Can I access the course at any time, or is there a set schedule? You have the flexibility to access the course at any time that suits your schedule. Our courses are self-paced, allowing you to study at your own pace and convenience. How long will I have access to the course? For this course, you will have access to the course materials for 1 year only. This means you can review the content as often as you like within the year, even after you've completed the course. However, if you buy Lifetime Access for the course, you will be able to access the course for a lifetime. Is there a certificate of completion provided after completing the course? Yes, upon successfully completing the course, you will receive a certificate of completion. This certificate can be a valuable addition to your professional portfolio and can be shared on your various social networks. Can I switch courses or get a refund if I'm not satisfied with the course? We want you to have a positive learning experience. If you're not satisfied with the course, you can request a course transfer or refund within 14 days of the initial purchase. How do I track my progress in the course? Our platform provides tracking tools and progress indicators for each course. You can monitor your progress, completed lessons, and assessments through your learner dashboard for the course. What if I have technical issues or difficulties with the course? If you encounter technical issues or content-related difficulties with the course, our support team is available to assist you. You can reach out to them for prompt resolution.

Sketching Human
Delivered Online On Demand
£25

Digital Art - Sketching In Photoshop Basics

4.8(8)

By Skill Up

Gain the solid skills and knowledge to kickstart a successful career and learn from the experts with this

Digital Art - Sketching In Photoshop Basics
Delivered Online On Demand
£25

Discover Digital Art - (Sketching) In Photoshop

4.3(43)

By John Academy

COURSE OVERVIEW Do you want to create your original art piece on a digital platform? Then, you need to be able to transform your sketch into a digital sketch. Learn how you can create a digital sketch using photoshop from the Discover Digital Art - (Sketching) In Photoshop course and create amazing sketches. In this Discover Digital Art - (Sketching) In Photoshop course, you will learn how you can create digital sketches, Photoshop basics, selecting brush, maintaining proportions and many other techniques that will help you to sketch digitally. This course will familiarize you with different techniques that you help you understand and practice sketch from scratch. The course is ideal for new artists, digital artists, designers, graphic designers, web designers or anyone who wants to master digital art using photoshop. LEARNING OUTCOMES * Understand the interface of Photoshop * Learn how to properly sketch in Photoshop * Understand the proportion properly  * Be able to create sketch lines and start sketching on digital platform  * Learn how you can create a perfect sketch in Photoshop  * Learn different techniques to make digital sketches more refined WHO IS THIS COURSE FOR? The Discover Digital Art - (Sketching) In Photoshop course is ideal for anyone who wants to learn digital art techniques in photoshop. You'll get to know about advanced skills and techniques from this course. ENTRY REQUIREMENT * This course is available to all learners, of all academic backgrounds. * Learners should be aged 16 or over to undertake the qualification. * Good understanding of English language, numeracy and ICT are required to attend this course. CERTIFICATION * After you have successfully completed the course, you will be able to obtain an Accredited Certificate of Achievement. You can however also obtain a Course Completion Certificate following the course completion without sitting for the test. Certificates can be obtained either in hardcopy at the cost of £39 or in PDF format at the cost of £24. * PDF certificate's turnaround time is 24 hours, and for the hardcopy certificate, it is 3-9 working days. WHY CHOOSE US? * Affordable, engaging & high-quality e-learning study materials; * Tutorial videos/materials from the industry-leading experts; * Study in a user-friendly, advanced online learning platform; * Efficient exam systems for the assessment and instant result; * The UK & internationally recognized accredited qualification; * Access to course content on mobile, tablet or desktop from anywhere anytime; * The benefit of career advancement opportunities; * 24/7 student support via email. CAREER PATH Discover Digital Art - (Sketching) In Photoshop is a useful qualification to possess and would be beneficial for any related profession or industry such as: * Graphic Designing * Digital Art * Illustration * Game designing * Designing Discover Digital Art - (Sketching) In Photoshop Module 01: Introduction 00:02:00 Module 02: Introduction to Photoshop 00:05:00 Module 03: Customizing Your Workspace 00:09:00 Module 04: Creating a New Document 00:07:00 Module 05: Installing Brush 00:02:00 Module 06: The Layers Panel 00:09:00 Module 07: Finding Reference 00:03:00 Module 08: Simplifying Your Reference 00:07:00 Module 09: Warm Up Sketch 00:02:00 Module 10: Sketching 00:31:00 Module 11: Refining Your Sketch 00:14:00 Module 12: Demo 00:11:00 Module 13: Your Project 00:01:00 Module 14: Conclusion 00:03:00 Certificate and Transcript Order Your Certificates and Transcripts 00:00:00

Discover Digital Art - (Sketching) In Photoshop
Delivered Online On Demand
£18

Digital Art - Sketching In Photoshop

By Apex Learning

OVERVIEW This comprehensive course on Digital Art - Sketching In Photoshop will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Digital Art - Sketching In Photoshop comes with accredited certification, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. HOW WILL I GET MY CERTIFICATE? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. WHO IS THIS COURSE FOR? There is no experience or previous qualifications required for enrolment on this Digital Art - Sketching In Photoshop. It is available to all students, of all academic backgrounds. REQUIREMENTS Our Digital Art - Sketching In Photoshop is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. CAREER PATH Having these various qualifications will increase the value in your CV and open you up to multiple sectors such as Business & Management, Admin, Accountancy & Finance, Secretarial & PA, Teaching & Mentoring etc. COURSE CURRICULUM 1 sections • 14 lectures • 01:46:00 total length •Module 01: Introduction: 00:02:00 •Module 02: Introduction to Photoshop: 00:05:00 •Module 03: Customizing Your Workspace: 00:09:00 •Module 04: Creating a New Document: 00:07:00 •Module 05: Installing Brush: 00:02:00 •Module 06: The Layers Panel: 00:09:00 •Module 07: Finding Reference: 00:03:00 •Module 08: Simplifying Your Reference: 00:07:00 •Module 09: Warm Up Sketch: 00:02:00 •Module 10: Sketching: 00:31:00 •Module 11: Refining Your Sketch: 00:14:00 •Module 12: Demo: 00:11:00 •Module 13: Your Project: 00:01:00 •Module 14: Conclusion: 00:03:00

Digital Art - Sketching In Photoshop
Delivered Online On Demand
£12

Educators matching "Sketching"

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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