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21 Linear Programming courses

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Level 3, 5 & 7 Linear Programming at QLS

By Imperial Academy

Level 7 QLS Endorsed Course | Endorsed Certificate Included | Plus 5 Career Guided Courses | CPD Accredited

Level 3, 5 & 7 Linear Programming at QLS
Delivered Online On Demand
£149

Maths: Mathematical Logic, Matrices, Trigonometric Functions & Linear Programming

By NextGen Learning

3-in-1 Exclusive Bundle Our extensive Maths course is developed thoroughly for you to indulge and learn all the topics with utmost clarity and thorough explanation. This course includes not only one course but THREE courses within the bundle. So you are getting two extra courses for the price of one, no extra money! Our course aims to provide detailed insight into the Maths with full support from our teachers. So if you are looking for a convenient way to boost your knowledge further of the Maths topic but are too busy to go to a class, then enrol in this course and you are sorted! Our in-depth course has no time limit and can be accessed from anywhere in the world. You'll pick up a ton of fresh information, whether you're a novice or an advanced. The mega course's sheer size and breadth speak for itself! So, do not delay any further; we are excited and looking forward to letting you in our CPD Accredited course as much as you are! The following courses will not only fast-track your career but also make it even more rewarding: * Course 01: Advanced Mathematics * Course 02: Functional Skills Maths * Course 03: An Introduction to Discrete Maths Learning Outcome From this interactive Maths course, you will be able to: * Deep dive into the basics of Maths. * Learn how to improve your skills in general. * Increase your ability to reason and solve problems. * Utilise the Maths to boost output. * Gain confidence and clarity in your communication. * Explore different career routes in this field. This comprehensive three-in-one Maths course equips you with critical guidance, methods, and strategies for increasing both employee and professional development. The Maths course from Next Generation's easy-to-digest and deliverable modules will provide you with the most essential and useful knowledge for growing your profession, from setting personal development goals to forming a cross-functional team. Course Curriculum: * Mathematical Logic * Matrices * Trigonometric Functions * Pair of Straight Line * Lines & Planes * Linear Programming * Integers ( Directed Numbers) * Factors and Multiples * Fractions * Rational Numbers * Unitary Method and its Applications * Profit , Loss, discount and Tax * Graph Theory * Statistics * Combinatorics * Sequence and Series And many more ... Show off your new skills with a certificate of completion Once you complete the Maths course, you will be eligible to request a digital certificate for free. For Printed Transcript & Hardcopy Certificate- * 4.99 GBP (Inside the UK Postal Fee) * 8.99 GBP (International Delivery Fee) CPD 35 CPD hours / points Accredited by CPD Quality Standards WHO IS THIS COURSE FOR? This comprehensive three-in-one bundled Maths course has no restrictions for people registering for it. Anyone between the age of above sixteen can apply for the course. REQUIREMENTS No previous knowledge is required to enrol in this training. CAREER PATH The aim of this exclusive bundle Maths course is to help you toward your dream career. So, complete this course and enhance your skills to explore opportunities in relevant areas.

Maths: Mathematical Logic, Matrices, Trigonometric Functions & Linear Programming
Delivered Online On Demand
£12

Real Estate Developer (Development Cash Flow Modelling in Excel)

4.3(5)

By Bayfield Training

This course will show delegates how to appraise projects in Excel, incorporate and communicate updates as they happen and ultimately understand how to convert an opportunistic property investment into a core asset that can be sold on.

Real Estate Developer (Development Cash Flow Modelling in Excel)
Delivered In-PersonTwo days, Jul 18th, 09:00 + 2 more
£1750

Mathematics

5.0(2)

By Studyhub UK

The 'Mathematics' course provides a comprehensive study of various mathematical concepts, including mathematical logic, matrices, trigonometric functions, pair of straight lines, lines & planes, and linear programming. It aims to enhance students' mathematical knowledge and problem-solving skills. LEARNING OUTCOMES: 1. Understand the fundamentals of mathematical logic and its application in problem-solving. 2. Comprehend matrix operations and solve mathematical problems involving matrices. 3. Analyze trigonometric functions and their properties in various mathematical contexts. 4. Solve problems related to pair of straight lines and their equations. 5. Explore lines and planes in three-dimensional space and their geometric properties. 6. Apply linear programming techniques to optimize solutions in real-world scenarios. 7. Acquire a strong foundation in mathematics and develop critical thinking abilities. 8. Demonstrate proficiency in mathematical concepts through problem-solving exercises. 9. Utilize mathematical tools and techniques in practical applications and academic settings. 10. Successfully complete the Mathematics course with a comprehensive understanding of key mathematical principles. WHY BUY THIS MATHEMATICS? 1. Unlimited access to the course for forever 2. Digital Certificate, Transcript, student ID all included in the price 3. Absolutely no hidden fees 4. Directly receive CPD accredited qualifications after course completion 5. Receive one to one assistance on every weekday from professionals 6. Immediately receive the PDF certificate after passing 7. Receive the original copies of your certificate and transcript on the next working day 8. Easily learn the skills and knowledge from the comfort of your home CERTIFICATION After studying the course materials of the Mathematics there will be a written assignment test which you can take either during or at the end of the course. After successfully passing the test you will be able to claim the pdf certificate for £5.99. Original Hard Copy certificates need to be ordered at an additional cost of £9.60. WHO IS THIS COURSE FOR? This Mathematics course is ideal for * Students * Recent graduates * Job Seekers * Anyone interested in this topic * People already working in the relevant fields and want to polish their knowledge and skill. PREREQUISITES This Mathematics does not require you to have any prior qualifications or experience. You can just enrol and start learning.This Mathematics was made by professionals and it is compatible with all PC's, Mac's, tablets and smartphones. You will be able to access the course from anywhere at any time as long as you have a good enough internet connection. CAREER PATH As this course comes with multiple courses included as bonus, you will be able to pursue multiple occupations. This Mathematics is a great way for you to gain multiple skills from the comfort of your home. COURSE CURRICULUM Unit 01: Introduction Introduction 00:01:00 Unit 02: Mathematical Logic Introduction to Mathematical Logic, What is Sentence, Statements and their Types 00:02:00 Introduction to Logical Connectivity, Tautology, Contradiction, Contingency, Pattern 00:06:00 Quantitative and Quantified Statement and types and example 00:03:00 Dual: Replacing of Connections and Symbols 00:02:00 Negations of Compound Statement, Converse, Inverse, & Contrapositive 00:03:00 Algebra of Statements and Law 00:05:00 Real Life application of Logic to Switching Electric Circuit 00:05:00 Unit 03: Matrices Introduction to Matrices, Multiplication and Addition using Matrix 00:06:00 Inverse of Matrix Uniqueness of Inverse, Elementary Transformation 00:09:00 Method of REDUCTION AND INVERSION with real life example how we can implement 00:17:00 Unit 04: Trigonometric Functions Introduction to Trigonometric Function 00:03:00 General Solutions and Theorem 00:10:00 Solution of Triangle: Polar Co-ordinates 00:22:00 Rules and Theorems of Sin Cosine and Tan 00:22:00 Unit 05: Pair of Straight Line Introduction & Combined Equations 00:07:00 Degrees and Types 00:13:00 Some Theorem 00:17:00 Unit 06: Lines & Planes Introduction - vector Cartesian theorem 00:02:00 Cartesian Equation & 2 Point Theorem 00:03:00 Theorems & Problem Solving 00:05:00 Distance of Point Line 00:05:00 Skew Lines 00:01:00 Distance of skew lines 00:03:00 Distance between parallel lines 00:02:00 Equation of Plane and Cartesian Form 00:10:00 Unit 07: Linear Programming Linear Programming Introduction 00:08:00 Introduction to LPP (Linear Programming Problem) 00:05:00 LPP Problem Solving 00:07:00 Assignment Assignment - Mathematics 00:00:00

Mathematics
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£10.99

Advance Mathematics

By The Teachers Training

ADVANCE MATHEMATICS Are you ready to take your love for math to the next level? Our Advance Mathematics course is like a supportive mentor, here to guide you through the fascinating world beyond the basics. It's about empowering you to think critically, solve problems creatively, and see the world in a new light. Our Advance Mathematics course will help you develop a strong mathematical logic foundation, enabling you to dissect sentences, identify statements, and classify them into various types with precision. Plus, you will comprehensively understand trigonometric functions and their applications. You'll confidently solve triangles, explore polar coordinates, and navigate through the rules and theorems of sine, cosine, and tangent. Moreover, in this Advance Mathematics course, you will acquire the skills needed to tackle real-world problems through linear programming, allowing you to optimize solutions using mathematical models. You will also gain insights into the dynamic relationships between pairs of straight lines, understanding degrees and types to solve complex geometric problems. Furthermore, you will understand the concept of multiplication & addition using matrix, inverse of matrix, uniqueness of inverse, etc. Don't let fear hold you back from unlocking your full mathematical potential. Enroll in our Advance Mathematics course! WHY CHOOSE TEACHERS TRAINING Some of our website features are: * This is a dedicated website for teaching * 24/7 tutor support * Interactive Content * Affordable price * Courses accredited by the UK's top awarding bodies * 100% online * Flexible deadline ENTRY REQUIREMENTS No formal entry requirements. You need to have: * Passion for learning * A good understanding of the English language * Be motivated and hard-working * Over the age of 16. CERTIFICATION CPD Certification from The Teachers Training Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. * You can get your digital certificate (PDF) for £4.99 only * Hard copy certificates are also available, and you can get one for only £10.99 * You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Unit 01: Introduction Introduction 00:01:00 Unit 02: Mathematical Logic Introduction to Mathematical Logic, What is Sentence, Statements and their Types 00:02:00 Introduction to Logical Connectivity, Tautology, Contradiction, Contingency, Pattern 00:06:00 Quantitative and Quantified Statement and types and example 00:03:00 Dual: Replacing of Connections and Symbols 00:02:00 Negations of Compound Statement, Converse, Inverse, & Contrapositive 00:03:00 Algebra of Statements and Law 00:05:00 Real Life application of Logic to Switching Electric Circuit 00:05:00 Unit 03: Matrices Introduction to Matrices, Multiplication and Addition using Matrix 00:06:00 Inverse of Matrix Uniqueness of Inverse, Elementary Transformation 00:09:00 Method of REDUCTION AND INVERSION with real life example how we can implement 00:17:00 Unit 04: Trigonometric Functions Introduction to Trigonometric Function 00:03:00 General Solutions and Theorem 00:10:00 Solution of Triangle: Polar Co-ordinates 00:21:00 Rules and Theorems of Sin Cosine and Tan 00:22:00 Unit 05: Pair of Straight Line Introduction & Combined Equations 00:07:00 Degrees and Types 00:13:00 Some Theorem 00:17:00 Unit 06: Lines & Planes Introduction - vector Cartesian theorem 00:02:00 Cartesian Equation & 2 Point Theorem 00:03:00 Theorems & Problem Solving 00:05:00 Distance of Point Line 00:05:00 Skew Lines 00:01:00 Distance of skew lines 00:03:00 Distance between parallel lines 00:02:00 Equation of Plane and Cartesian Form 00:10:00 Unit 07: Linear Programming Linear Programming Introduction 00:08:00 Introduction to LPP (Linear Programming Problem) 00:05:00 LPP Problem Solving 00:07:00

Advance Mathematics
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£27.99

Advanced Mathematical Skills

4.8(8)

By Skill Up

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

Advanced Mathematical Skills
Delivered Online On Demand
£25

A-Level Further Maths Distance Learning Course by Oxbridge

By Oxbridge

Is the thrill of solving mathematical conundrums your thing? Are you adept at distinguishing between polar coordinates and hyperbolic functions, or vectors and matrices? If so, our Edexcel accredited Further Mathematics A-Level online course beckons you. With unwavering support from your personal tutor, you'll develop the ability to construct and present mathematical arguments via diagrams, graphs, and symbols. Moreover, you'll refine your understanding of modelling assumptions, conquer quadratic equations with real coefficients, and broaden your mathematical horizons. COURSE BENEFITS: * Get access to a new course aligned with the latest specifications, enriched with interactive and engaging content * Avail of the Fast track option for exams in 2022 * Access to partnership exam centres, ensuring a guaranteed exam venue * Unlimited tutor support to help craft a study plan and assist throughout your learning journey * Exam pass guarantee (we've got your back for the next exam if you don’t pass the first time). AWARDING BODY: The Edexcel, our awarding body, is the UK's largest awarding organisation that has been helping individuals achieve academic and vocational qualifications in schools, colleges, and workplaces in the UK and beyond for nearly two decades. Course code: X922 Qualification code: 9FMO Official Qualification Title: Further Maths A-Level ⏱ STUDY HOURS: Allocate between 300 and 360 hours of study time, plus additional time for completing assignments. 👩‍🏫 STUDY METHOD: Experience a dynamic and engaging learning process via our online learning platform. If needed, the learning resources, which include videos, quizzes, and interactive activities, can be printed for offline study. 📆 COURSE DURATION: The course will span up to 24 months from the date of enrolment. All your learning materials will be accessible on our MyOxbridge portal. 📋 ASSESSMENT: Enrolments are now open for Summer 2022 examinations. The course necessitates the completion of four standard A-level exams and various assignments. While the assignments don't contribute to the final grade, they allow you to get tutor feedback and help in monitoring your progress. We also provide a guaranteed exam space in our nationwide exam centres. 👩‍🎓 COURSE OUTCOMES: Successful completion earns you an A-Level in Further Mathematics, issued by Edexcel. This certificate holds the same value as that issued to students in any other educational institution. ℹ️ ADDITIONAL INFORMATION: Official Qualification Title - Further Maths A-Level Level - Advanced (Level 3) COURSE CONTENT: Our course curriculum includes but is not limited to Core Mathematics 1 & 2, Further Pure Mathematics 1 & 2, Statistics 1 & 2, Mechanics 1 & 2, and Decision 1 & 2. These units cover a wide array of topics, including proof, complex numbers, matrices, algebra and functions, calculus, vectors, polar co-ordinates, hyperbolic functions, differential equations, groups, number theory, sequences and series, discrete probability distributions, hypothesis testing, central limit theorem, chi squared testing, linear regression, continuous probability distributions, correlation, combination of random variables, confidence intervals, moments and impulse, work, energy, and power, elastic springs and strings, elastic collisions, motion in a circle, centre of mass, further dynamics, further kinematics, algorithms, graphs, critical path analysis, linear programming, transportation problems, allocation problems, flows in networks, dynamic programming, game theory, recurrence relationship, and decision analysis.

A-Level Further Maths Distance Learning Course by Oxbridge
Delivered Online On Demand
£665

Advanced Mathematics

By Apex Learning

OVERVIEW This comprehensive course on Advanced Mathematics will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Advanced Mathematics comes with accredited certification from CPD, 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 Advanced Mathematics. It is available to all students, of all academic backgrounds. REQUIREMENTS Our Advanced Mathematics 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 Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- * Open doors of opportunities * Increase your adaptability * Keep you relevant * Boost confidence And much more! COURSE CURRICULUM 8 sections • 30 lectures • 03:23:00 total length •Introduction: 00:01:00 •Introduction to Mathematical Logic, What is Sentence, Statements and their Types: 00:02:00 •Introduction to Logical Connectivity, Tautology, Contradiction, Contingency, Pattern: 00:06:00 •Quantitative and Quantified Statement and types and example: 00:03:00 •Dual: Replacing of Connections and Symbols: 00:02:00 •Negations of Compound Statement, Converse, Inverse, & Contrapositive: 00:03:00 •Algebra of Statements and Law: 00:05:00 •Real Life application of Logic to Switching Electric Circuit: 00:05:00 •Introduction to Matrices, Multiplication and Addition using Matrix: 00:06:00 •Inverse of Matrix Uniqueness of Inverse, Elementary Transformation: 00:09:00 •Method of REDUCTION AND INVERSION with real life example how we can implement: 00:17:00 •Introduction to Trigonometric Function: 00:03:00 •General Solutions and Theorem: 00:10:00 •Solution of Triangle: Polar Co-ordinates: 00:21:00 •Rules and Theorems of Sin Cosine and Tan: 00:22:00 •Introduction & Combined Equations: 00:07:00 •Degrees and Types: 00:13:00 •Some Theorem: 00:17:00 •Introduction - vector Cartesian theorem: 00:02:00 •Cartesian Equation & 2 Point Theorem: 00:03:00 •Theorems & Problem Solving: 00:05:00 •Distance of Point Line: 00:05:00 •Skew Lines: 00:01:00 •Distance of skew lines: 00:03:00 •Distance between parallel lines: 00:02:00 •Equation of Plane and Cartesian Form: 00:10:00 •Linear Programming Introduction: 00:08:00 •Introduction to LPP (Linear Programming Problem): 00:05:00 •LPP Problem Solving: 00:07:00 •Assignment - Advanced Mathematics: 00:00:00

Advanced Mathematics
Delivered Online On Demand
£12

Mathematics Masterclass

By Course Cloud

COURSE OVERVIEW Build your confidence in maths and gain the skills you need to pass your maths exam with flying colours, in this complete Mathematics Masterclass.  This mathematics course is ideal for those who already have a basic understanding of everyday maths and want to learn more complex skills. Through this training, you will explore key topics such as trigonometry, linear programming, and algebra, learning how to apply them in a practical way. By the end of this course, you will have excellent problem-solving, logical and linear thinking skills, with the confidence to master any complex mathematical problem. You will also have an excellent grasp of matrix multiplication and addition. This best selling Mathematics Masterclass has been developed by industry professionals and has already been completed by hundreds of satisfied students. This in-depth Mathematics Masterclass is suitable for anyone who wants to build their professional skill set and improve their expert knowledge. The Mathematics Masterclass is CPD-accredited, so you can be confident you're completing a quality training course will boost your CV and enhance your career potential. The Mathematics Masterclass is made up of several information-packed modules which break down each topic into bite-sized chunks to ensure you understand and retain everything you learn. After successfully completing the Mathematics Masterclass, you will be awarded a certificate of completion as proof of your new skills. If you are looking to pursue a new career and want to build your professional skills to excel in your chosen field, the certificate of completion from the Mathematics Masterclass will help you stand out from the crowd. You can also validate your certification on our website. We know that you are busy and that time is precious, so we have designed the Mathematics Masterclass to be completed at your own pace, whether that's part-time or full-time. Get full course access upon registration and access the course materials from anywhere in the world, at any time, from any internet-enabled device.  Our experienced tutors are here to support you through the entire learning process and answer any queries you may have via email.

Mathematics Masterclass
Delivered Online On Demand
£25

Advance Mathematics

By The Teachers Training

Dive deeper into the world of mathematics with our 'Advanced Mathematics' course. Explore complex concepts and problem-solving techniques that will challenge and expand your mathematical proficiency. Whether you're a student aiming for higher academic achievements or a professional seeking to strengthen your analytical skills, this course will equip you with the knowledge and tools to excel. Enroll now and unlock the next level of mathematical understanding and capability.

Advance Mathematics
Delivered Online On Demand
£15

Educators matching "Linear Programming"

Show all 2
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