1128 Educators providing ARC courses

vital pilates

We run group matwork classes in Westbury Park, and Chew Valley. Our mat courses run in 10 week blocks continuously throughout the year. We cater for all levels and our classes are taught in small groups. Level 1 This Pilates class is suitable for complete beginners or someone who has only attended a few classes. Level 2 This Pilates class is suitable for someone who has done some Pilates and is looking for a bit more of a challenge. Level 3 This is a faster paced Pilates class aimed at someone who has a lot of Pilates experience and is looking for an even greater challenge. Level 4 This is our most advanced Pilates class and particularly suited to someone with good knowledge of all the original Pilates repertoire and also likes a challenging and flowing class. Barre A barre class combines the framework of ballet techniques with Pilates for increased flexibility and strength. It is a fun, energising class which will give you a full body workout. Barre is accessible to everyone and there’s no need to have any previous movement experience. Vinyasa Flow Yoga Vinyasa means linking body movement to breath ‘to place in a special way’. Every class is linked to one of the 4 elements, Earth, Water, Fire & Air corresponding to opening different parts of the physical body to link body, mind and spirit. Hatha Flow Yoga This is an energising and fluid class with an emphasis on holding poses for longer and synchronising movement with breath. All poses are offered in stages starting from beginners to more advanced levels giving students an opportunity to choose the right one for them. The class will finish with regenerating practices and shavasana/deep relaxation pose. Studio Equipment Classes At our Westbury Park studio and Chew Valley studio we have a more personal experience with studio equipment based Pilates. The exercises and intensity are carefully tailored to meet your specific needs and goals. The exercises are performed on a Reformer, Cadillac and split pedal stability chairs. We also work with smaller pieces of equipment such as balls, bands, foam rollers, and Arc Barrels. The Reformer This is the most popular and versatile piece of Pilates equipment. The carriage glides on rails, moving in response to the use of attached springs, pulleys and ropes. The reformer facilitates hundreds of strengthening and stretching exercises. The Cadillac/Trapeze Table This is a raised horizontal table topped by a four- poster canopy frame on which bars, straps and springs are attached. A wide variety of exercises can be performed on the Cadillac. From gentle, spring assisted movement to advanced acrobatics. The Wunda Chair This is a box with 4 springs and a split pedal. The exercises enhance stability, balance and body control. It focuses on upper and lower body strength and conditioning and makes the chair a great tool for improving general fitness. Open Studio Classes At our Westbury Park studio and Chew Valley studio we run Open Studio classes. Our Open Studio classes are taught as circuits that utilise all the Pilates equipment and small props. Over 5 weeks you are invited to practice a variety of moves on each piece of equipment, including The Reformer, The Cadillac and The Wunda Chair. The emphasis is on repeating the same circuit each week for 5 weeks to build your confidence and improve your practice.

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archery4u

Home | Archery4U Archery4U offers a range of archery coaching activities and instructor training services across Northern Ireland, Ireland and mainland Great Britain.

www.powerboatarchive.com

dasmarca

If fashion is a type of communication, a hat is it’s distinguishing accent; a fashion accessory suggesting one’s status, personality and lifestyle at a glance. A symbol of culture, politics and society,the hat remains one of history’s most telling accessories.

passwithmarcel

holistic ink boston tattoo shops’s crescent moon tattoo

Tattoos are not just decorative art but also a way for individuals to preserve memories, meanings, and personal values. At Holistic Ink Boston Tattoo shops, we believe every tattoo tells a unique story, closely tied to the life and soul of its owner. In this article, we share insights about the minimalist crescent moon tattoo on the shoulder, a simple yet profound design that symbolizes change, balance, and inner beauty. 1. HOLISTIC INK BOSTON TATTOO’S MINIMALIST STYLE: THE BEAUTY OF SIMPLICITY 1.1. CHARACTERISTICS OF THE MINIMALIST STYLE The minimalist style at ▶️ Holistic Ink Boston Tattoo [https://www.holisticink.com] ◀️ focuses on simple, clear, and elegant elements. This tattoo trend is beloved for its ability to convey messages directly while maintaining aesthetic appeal. 1.2. WHY HAS THE MINIMALIST STYLE BECOME POPULAR? - Elegance and modernity: Minimalist tattoos are small yet striking, offering timeless beauty. - Ease of maintenance: With fewer intricate details, minimalist tattoos tend to fade less over time. - Versatility: Compact and refined designs allow this style to complement any location on the body. 1.3. THE CRESCENT MOON IN MINIMALIST STYLE The crescent moon at Holistic Ink Boston Tattoo, with its soft and gentle curves, is a perfect symbol for minimalist tattoos. Thin lines combined with the natural arc of the moon create a design that is both elegant and meaningful. 1.4. PERSONALIZATION IN MINIMALIST STYLE Minimalist designs allow customization to reflect personal stories and individuality. With a crescent moon tattoo, you can add elements like stars, clouds, or subtle gradients to enhance its artistic and personal significance. 2. HOLISTIC INK BOSTON TATTOO SHOPS: A CANVAS OF HARMONY AND ELEGANCE The shoulder is one of the most popular placements for tattoos at Holistic Ink ▶️ Boston Tattoo shops [https://www.instagram.com/holistic_ink/] ◀️, especially minimalist designs like the crescent moon. Its natural contours, smooth surface, and proximity to the heart make it a particularly meaningful and visually appealing choice. 2.1. VERSATILITY OF THE SHOULDER Shoulder tattoos are incredibly versatile. They can be easily concealed with clothing for formal occasions or revealed for personal expression. A crescent moon tattoo on the shoulder highlights the elegant curves of the design, adding an air of mystery and sophistication. This placement offers a blend of subtlety and statement, appealing to those who value both discretion and style. 2.2. THE SHOULDER: A SYMBOL OF STRENGTH AND RESPONSIBILITY In a symbolic sense, the shoulder represents strength, support, and the ability to carry responsibilities. Choosing a crescent moon tattoo for this location can signify the wearer’s inner resilience, adaptability, and steadfast nature at Holistic Ink Boston Tattoo shops. It serves as a personal emblem of endurance and growth. 2.3. CONNECTION TO PERSONAL EMOTIONS Being close to the heart and mind, the shoulder is an intimate location for tattoos that hold deep emotional or symbolic meaning. A tattoo in this spot can act as a constant reminder of the wearer’s values, memories, or aspirations, creating a profound connection to the design’s message. 3. THE MEANING OF THE CRESCENT MOON IN PERSONAL LIFE 3.1. THE MOON: A SYMBOL OF CHANGE The moon, with its ever-changing phases, represents transformation and the constant motion of life at Holistic Ink Boston Tattoo. A crescent moon tattoo serves as a reminder that, even during difficult times, one can adapt and find light in the darkness. 3.2. A REPRESENTATION OF BALANCE The image of the moon is often associated with the balance between light and dark, reason and emotion. This tattoo serves as a reminder to maintain equilibrium in life and find harmony within the soul. 3.3. CONNECTION TO EMOTIONS AND SPIRITUALITY The moon has long been a symbol of emotions, intuition, and the spiritual realm. A crescent moon tattoo is a way to express a connection to one’s soul, explore self-discovery, and listen to inner voices. 3.4. FEMININITY AND GRACE In many cultures, the moon symbolizes femininity, gentle beauty, and sensitivity. This tattoo is often chosen by individuals who wish to celebrate their inner beauty and affirm their unique personality. 3.5. A SYMBOL OF DREAMS AND ASPIRATIONS The crescent moon, with its subtle yet captivating glow, represents dreams and unfulfilled aspirations. This tattoo serves as encouragement to keep pursuing goals, no matter how challenging the journey. 3.6. A REMINDER OF LIFE AND TIME The moon’s cycle reflects the rhythms of time and life. This tattoo is a way to remember that, despite changes, everything follows a natural cycle, and there is always an opportunity for new beginnings. 4. HOLISTIC INK BOSTON TATTOO SPECIALIZES IN CRESCENT MOON TATTOOS IN THE U.S. If you’re searching for a place to get a crescent moon similar to Holistic Ink ▶️ Boston Tattoo [https://www.yelp.com/biz/holistic-ink-boston-2] ◀️, here are five renowned studios across different states in the U.S.: 4.1. HOWARD BOSTON TATTOO SHOP (BOSTON, MASSACHUSETTS) Howard Shop is one of the most reputable tattoo shops in Boston, specializing in minimalist and creative designs. The experienced artists here excel at crafting delicate crescent moon tattoos, ensuring customer satisfaction. 4.2. TWILIGHT TATTOO STUDIO (PORTLAND, MAINE) Twilight Tattoo Studio is renowned for its minimalist style and personalized designs. Crescent moon tattoos here are executed with high precision and exceptional artistry. 4.3. MOONLIT INK (DENVER, COLORADO) Moonlit Ink in Denver is an ideal spot for those who love designs inspired by the moon and astronomy. The artists focus on intricate details to create a perfect piece of art. 4.4. STELLAR TATTOO (SEATTLE, WASHINGTON) Stellar Tattoo in Seattle is a top destination for tattoo art. Their crescent moon tattoos often incorporate creative elements, offering unique beauty and profound meaning. 4.5. CELESTIAL INK (AUSTIN, TEXAS) Celestial Ink stands out for its modern style and professionalism in every design. This studio is especially suited for those wanting a crescent moon tattoo combined with other celestial elements. 5. CONCLUSION A tattoo is more than just a work of art; it’s a way to tell your story, preserve memories, and express personal values. With a minimalist crescent moon tattoo on the shoulder, you gain not only a beautiful design but also a symbol of change, balance, and aspirations in life. We hope this article by Holistic Ink Boston Tattoo shops has provided inspiration and valuable information. If you’re looking for a place to bring this tattoo idea to life, let us accompany you on your journey of creativity and self-discovery!

black's academy

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