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Military History

5.0(2)

By Studyhub UK

The Military History course offers a comprehensive exploration of warfare through time, covering various aspects of strategy, weaponry, technology, and leadership. Participants will delve into the theories of warfare, the evolution of military weaponry, and the pivotal role of aviation and naval forces. The course further examines historical conflicts, including the World Wars, British military history, and the dynamics of leadership and command during wartime. LEARNING OUTCOMES: 1. Understand the foundational concepts and importance of military history. 2. Explore different theories and strategies employed in warfare throughout history. 3. Gain knowledge about the evolution of military weaponry and aviation technologies. 4. Study naval warfare tactics, strategies, and the impact of naval forces in history. 5. Examine ground warfare, military technology advancements, and their historical context. 6. Analyze the causes, consequences, and impacts of the World Wars. 7. Explore the rich history of the British military and its significant contributions. 8. Understand leadership and command principles in the context of military operations. WHY BUY THIS MILITARY HISTORY? 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 Military History 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? * History enthusiasts interested in exploring the intricacies of military conflicts. * Students pursuing studies in history, international relations, or related fields. * Military personnel seeking a deeper understanding of historical and strategic contexts. * Writers, researchers, and educators looking to enhance their knowledge of military history. PREREQUISITES This Military History 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 * Military Historian: Research, analyze, and write about historical military conflicts. * Historian: Work in museums, archives, or academia, specializing in military history. * Military Strategist: Apply historical insights to contemporary military planning and strategy. * International Relations Specialist: Utilize knowledge of historical conflicts to inform diplomatic and political analyses. * Educator: Teach military history at schools, colleges, and educational institutions. COURSE CURRICULUM Module 1: Introduction to Military History Introduction to Military History 00:22:00 Module 2: Theories of Warfare Theories of Warfare 00:25:00 Module 3: Military Weaponry and Aviation Military Weaponry and Aviation 00:22:00 Module 4: Naval Warfare Naval Warfare 00:21:00 Module 5: Ground Warfare and Military Technology Ground Warfare and Military Technology 00:14:00 Module 6: The World Wars The World Wars 00:28:00 Module 7: The British Military History The British Military History 00:22:00 Module 8: Leadership and Command in War Leadership and Command in War 00:18:00 Assignment Assignment - Military History 00:00:00

Military History
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£10.99

Military History

By Apex Learning

OVERVIEW This comprehensive course on Military History will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Military History 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 Military History. It is available to all students, of all academic backgrounds. REQUIREMENTS Our Military History is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible on tablets and smartphones so you can access your course on wifi, 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 9 sections • 9 lectures • 02:52:00 total length •Introduction to Military History: 00:22:00 •Theories of Warfare: 00:25:00 •Military Weaponry and Aviation: 00:22:00 •Naval Warfare: 00:21:00 •Ground Warfare and Military Technology: 00:14:00 •The World Wars: 00:28:00 •The British Military History: 00:22:00 •Leadership and Command in War: 00:18:00 •Assignment - Military History: 00:00:00

Military History
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£12

British Military History

By NextGen Learning

Did you know that British Military History is one of the most captivating and intriguing aspects of the nation's past? According to a recent survey, over 60% of people in the UK are interested in learning more about the country's military history. If you're one of those individuals, we've got the perfect course for you. Learning outcomes: * Understand the theories and concepts of military history * Explore the development and use of military weaponry and aviation * Analyse the strategies and tactics used in ground and naval warfare * Gain insight into the leadership and command during the war * Learn about the British military history and its impact on the world * Develop critical thinking and analytical skills * Apply historical knowledge to contemporary issues related to military and conflict This British Military History course provides a comprehensive understanding of the theories, strategies, and technologies that have shaped warfare. The course is divided into eight modules, covering a range of topics such as theories of warfare, military weaponry and aviation, ground and naval warfare, leadership and command in war, and British military history. Through this course, you will explore the world wars, analyse the impact of military innovations on modern warfare and discover how the British military has influenced global events. You will develop critical thinking and analytical skills as you apply your knowledge of military history to contemporary issues related to conflict and war. This course is suitable for anyone interested in history, politics, or military affairs. Join us to explore the fascinating history of the British military and gain a deeper understanding of the world we live in today. Certification Upon completion of the course, learners can obtain a certificate as proof of their achievement. You can receive a £4.99 PDF Certificate sent via email, a £9.99 Printed Hardcopy Certificate for delivery in the UK, or a £19.99 Printed Hardcopy Certificate for international delivery. Each option depends on individual preferences and locations. CPD 10 CPD hours / points Accredited by CPD Quality Standards WHO IS THIS COURSE FOR? This course is ideal for the following: * History enthusiasts * Students of politics and international relations * Military professionals seeking a deeper understanding of military history * Professionals working in fields related to conflict and war * Researchers exploring historical issues related to military and conflict CAREER PATH Our course will prepare you for a range of careers, including: * Military Historian: £26,000 - £42,000 per year * Defense Analyst: £27,000 - £50,000 per year * Journalist specialising in military and defence: £22,000 - £60,000 per year * Museum Curator (Military History): £22,000 - £32,000 per year * Military Intelligence Analyst: £28,000 - £45,000 per year

British Military History
Delivered Online On Demand
£15

History : Military History

4.7(160)

By Janets

Register on the History : Military History today and build the experience, skills and knowledge you need to enhance your professional development and work towards your dream job. Study this course through online learning and take the first steps towards a long-term career. The course consists of a number of easy to digest, in-depth modules, designed to provide you with a detailed, expert level of knowledge. Learn through a mixture of instructional video lessons and online study materials. Receive online tutor support as you study the course, to ensure you are supported every step of the way. Get an e-certificate as proof of your course completion. The History : Military History is incredibly great value and allows you to study at your own pace. Access the course modules from any internet-enabled device, including computers, tablet, and smartphones. The course is designed to increase your employability and equip you with everything you need to be a success. Enrol on the now and start learning instantly! WHAT YOU GET WITH THE HISTORY : MILITARY HISTORY * Receive a e-certificate upon successful completion of the course * Get taught by experienced, professional instructors * Study at a time and pace that suits your learning style * Get instant feedback on assessments  * 24/7 help and advice via email or live chat * Get full tutor support on weekdays (Monday to Friday) 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 CERTIFICATION Upon successful completion of the course, you will be able to obtain your course completion e-certificate free of cost. Print copy by post is also available at an additional cost of £9.99 and PDF Certificate at £4.99. WHO IS THIS COURSE FOR: The course is ideal for those who already work in this sector or are an aspiring professional. This course is designed to enhance your expertise and boost your CV. Learn key skills and gain a professional qualification to prove your newly-acquired knowledge. REQUIREMENTS: The online training is open to all students and has no formal entry requirements. To study the History : Military History, all your need is a passion for learning, a good understanding of English, numeracy, and IT skills. You must also be over the age of 16.  COURSE CONTENT Module 1: Introduction to Military History Introduction to Military History 00:23:00 Module 2: Theories of Warfare Theories of Warfare 00:26:00 Module 3: Military Weaponry and Aviation Military Weaponry and Aviation 00:23:00 Module 4: Naval Warfare Naval Warfare 00:22:00 Module 5: Ground Warfare and Military Technology Ground Warfare and Military Technology 00:15:00 Module 6: The World Wars The World Wars 00:29:00 Module 7: The British Military History The British Military History 00:23:00 Module 8: Leadership and Command in War Leadership and Command in War 00:19:00 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.

History : Military History
Delivered Online On Demand
£25

Level 2, 3 & 4 Military History

By Imperial Academy

Level 4 QLS Endorsed Course with FREE Certificate | CPD & CiQ Accredited | 120 CPD Points | Lifetime Access

Level 2, 3 & 4 Military History
Delivered Online On Demand
£100

History: Military History

5.0(4)

By Institute of Beauty & Makeup

CPD Accredited | Career Oriented Learning Modules | 24x7 Tutor Support | Lifetime Access

History: Military History
Delivered Online On Demand
£21.99

Military History Course

By Imperial Academy

Level 4 QLS Endorsed Course | CPD & CiQ Accredited | Audio Visual Training | Free PDF Certificate | Lifetime Access

Military History Course
Delivered Online On Demand
£12

Military History - CPD Accredited

By Apex Learning

Fall into Savings. Enjoy the biggest price fall this Autumn! Give a compliment to your career and take it to the next level. This Military History Will provide you with the essential knowledge to shine in your professional career. Whether you want to develop skills for your next job or elevate your skills for your next promotion, this Military History Bundle will help you stay ahead of the pack. Throughout the Military History Programme, it stresses how to improve your competency as a person in your chosen field while also outlining essential career insights in the relevant job sector. Along with this Military History Course, you will get 11 premium courses, an original Hardcopy, 11 PDF Certificates (Main Course + Additional Courses) Student ID card as gifts. This Military History Bundle Consists of the following Premium courses: Courses are included in this Military History Bundle? * Course 01: Military History * Course 02: International Relations * Course 03: International Development Studies * Course 04: International Law * Course 05: Politics * Course 06: Social Science * Course 07: Medieval History * Course 08: * Course 09: * Course 10: Writing a Research Paper in Law and Humanities * Course 11: Creativity and Problem Solving Skills Enrol now in Military History To advance your career, and use the premium study materials from Apex Learning. The bundle incorporates basic to advanced level skills to shed some light on your way and boost your career. Hence, you can strengthen your Military History Expertise and essential knowledge, which will assist you in reaching your goal. Certificate: * PDF Certificate: Free (Previously it was £6*11 = £66) * Hard Copy Certificate: Free (For The Title Course: Previously it was £10) CPD 115 CPD hours / points Accredited by CPD Quality Standards WHO IS THIS COURSE FOR? Anyone from any background can enrol in this Military History bundle. Persons with similar professions can also refresh or strengthen their skills by enrolling in this course. Students can take this course to gather professional knowledge besides their study or for the future. REQUIREMENTS Our Military History is fully compatible with PC's, Mac's, laptops, tablets 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 this various expertise will increase the value of your CV and open you up to multiple job sectors. CERTIFICATES CERTIFICATE OF COMPLETION Digital certificate - Included CERTIFICATE OF COMPLETION Hard copy certificate - Included You will get the Hard Copy certificate for the title course (Military History) absolutely Free! Other Hard Copy certificates are available for £10 each. Please Note: The delivery charge inside the UK is £3.99, and the international students must pay a £9.99 shipping cost.

Military History - CPD Accredited
Delivered Online On Demand
£53

History (Military History)

By Imperial Academy

Level 4 QLS Endorsed Course | CPD & CiQ Accredited | Audio Visual Training | Free PDF Certificate | Lifetime Access

History (Military History)
Delivered Online On Demand
£12

Military History Level 2 & 4 at QLS

By Imperial Academy

Level 4 QLS Endorsed Course | Endorsed Certificate Included | Plus 5 Career Guided Courses | CPD Accredited

Military History Level 2 & 4 at QLS
Delivered Online On Demand
£135
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Educators matching "Military History"

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eduX

edux

4.8(27)

London

Welcome to eduX, your premier destination for online learning and educational resources. At eduX, we believe in the transformative power of education to enrich lives and empower individuals to reach their full potential. Our Mission: eduX is dedicated to providing accessible, high-quality education to learners worldwide. Our mission is to democratize learning by breaking down barriers to education and fostering a community of lifelong learners. What We Offer: At eduX, we offer a diverse range of courses across various disciplines, from academic subjects to professional development and personal enrichment. Whether you're looking to enhance your skills, pursue a new passion, or advance your career, we have something for everyone. Why Choose eduX? * Update Courses Content & Material : At eduX, learners can expect to receive updated courses with comprehensive materials to ensure they stay current with the latest advancements in their chosen fields. * Flexible Learning: We understand that life can be busy, which is why we offer flexible learning options to fit your schedule. Learn at your own pace, anytime, anywhere. * Interactive Learning Experience: Engage with course materials through interactive lectures, assignments, and discussions. Collaborate with fellow learners from around the world and gain insights from diverse perspectives. * Continuous Support: Our dedicated support team is here to assist you every step of the way. Whether you have questions about course content or need technical assistance, we're here to help. Join the eduX Community: Join us on a journey of discovery, growth, and lifelong learning. Whether you're a student, professional, or lifelong learner, eduX is your trusted partner in education. Explore our courses today and unlock endless possibilities for personal and professional development. Welcome to eduX, Where Knowledge Takes Flight.

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