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199 Arithmetic courses

SQL Intermediate Course, 3 Days

4.6(12)

By PCWorkshops

This Practical SQL course, is designed make you fully conversant with queries, DML and DDL statements. Hands-on, Practical SQL course. You will get the PCWorkshops SQL Course Certificate. Max 4 people per course, to keep it personalised.

SQL Intermediate Course, 3 Days
Delivered Online + more
£600

Oracle SQL Fundamentals, 3 Days

4.6(12)

By PCWorkshops

At this Oracle SQL Fundamentals course, we cover SQL queries, group by's , aggregates, joins, date-functions, String Functions, Random Functions, Math Functions, Insert, update and delete, Creating and changing tables, sub-queries in detail, views, stored procedures, custom functions, and table variables. Course level is beginners to intermediate.

Oracle SQL Fundamentals, 3 Days
Delivered Online + more
£750

MySQL Course Intermediate, 3 DAYS

4.6(12)

By PCWorkshops

Practical MySQL Course Intermediate, to leave you fully conversant with queries, DML and DDL statements. Hands-on, Practical MySQL Course Intermediate. PCWorkshops MySQL Course Intermediate Certificate. Max 4 people per course, we keep it personalised.

MySQL Course Intermediate, 3 DAYS
Delivered Online
£600

Learn SQL Basics, 1-day Course, Online Instructor-Led

4.6(12)

By PCWorkshops

SQL Queries Course, 1-Day. Basic SQL syntax. This course is good for any database, covering standard SQL. Most attendees are in-work IT Professional. Private individuals are also very welcome.

Learn SQL Basics, 1-day Course, Online Instructor-Led
Delivered Online + more
£185

Python Data Analytics Course

4.6(12)

By PCWorkshops

Python Data Analytics with Python using Numpy, Pandas, Dataframes. Most attendees are in-work Data Professional. Private individuals are very welcome. Our Style: Hands-on, Practical Location: Online, Instructor-led

Python Data Analytics Course
Delivered Online + more
£185

Python Boot Camp, 12-weeks

4.6(12)

By PCWorkshops

Python Data Analytics boot camp. 12 1 day lessons, learn Python Basics through to machine learning and front-ends. With practical project to give you full confidence and credibility.

Python Boot Camp, 12-weeks
Delivered In-Person in London + more
£1,800

Complete REXX programming

5.0(3)

By Systems & Network Training

REXX training course description A hands on training course covering the Restructured EXtended eXecutor (REXX) language. A large number of exercises are used to reinforce and emphasise lecture sessions. What will you learn Write REXX programs. Debug REXX programs. Examine existing code and determine its function. REXX training course details Who will benefit: Anyone wishing to learn REXX. Prerequisites: None although experience in another high level language would be useful. Duration 3 days REXX training course contents Introduction to REXX What is REXX? REXX environments, invoking a REXX exec, a sample REXX exec, REXX clause types. REXX variables and data Literal data, variable data, assignment, simple variables, compound variables, stem variables, constant data, numeric data, arithmetic operations, character manipulation, hexadecimal data. The parse instruction Parse format, Parse examples, Parse arg, Parse pull, Parse value, special templates, place holders, literal templates, numeric templates, variable templates. Control structures Relational conditions, logical operators, simple selection, looping: uncontrolled and controlled loops, infinite loops, conditional loops, controlling loops, leave, iterate, multiple selection, instructions for subroutines, exit. Sub routines and functions Internal and external subroutines, call, ARG(), ARG(n)return, exit, scope of variables, procedure, functions, built in functions, overriding built in functions. Performing I/O Command conventions, preparing to read a file, execio, limitations, execio for reading, DISKR, DISKRU, DISKW, return codes. External functions listdsi, msg, outtrap, prompt, sysdsn, sysvar, storage Tracing Immediate commands, the trace facility, signal and call statements. Built in functions Text handling functions, string handling, word handling, arithmetic, data conversion, bit manipulation, environment. The data stack Data stack structure, REXX instructions for the data stack, REXX functions for the data stack, TSO/E commands for the data stack. REXX in batch TSO/E foreground. TSO/E background.

Complete REXX programming
Delivered in Internationally or OnlineFlexible Dates
£3,497

Advanced UNIX shell programming

5.0(3)

By Systems & Network Training

Advanced UNIX shell scripting training course description A follow on hands on course from the Introduction to shell programming course covering the powerful sed and awk tools along with the extra Korn shell programming features. What will you learn Use regular expressions within grep, ed and many other utilities. Use awk and sed. Integrate sed and awk into shell scripts. Recognise the role of shell scripts within the UNIX system. Write shell scripts using new Korn shell features including: The select construct Arrays Arithmetic evaluation Advanced UNIX shell scripting training course details Who will benefit: Programmers developing applications under UNIX. Administrators who need time saving utilities. Technical personnel who wish to make the most out of the Korn Shell. Prerequisites: UNIX shell scripting Duration 3 days Advanced UNIX shell scripting training course contents Regular Expressions What are REs? How can they be used? How to write REs More REs e REs Tagging, matching words, repetitions. The sed editor Basic usage: Saving output, options. sed script files, sed commands, Specifying lines to edit, Hold space and pattern space, advanced commands Awk Basic usage, nawk script files, Patterns, Records and fields, Actions if, while, do, for... System variables NF, NR, RS... Arrays Functions length, printf, cos, user defined... Using nawk in shell scripts Korn shell scripts Review of Bourne shell scripts functions... Variables typeset, manipulating strings Arrays Arithmetic evaluation the let command, (( )), typeset -i The select construct Syntax, workings, REPLY, PS3 Miscellaneous Enhanced I/O, ${10}

Advanced UNIX shell programming
Delivered in Internationally or OnlineFlexible Dates
£1,697

Complete C programming

5.0(3)

By Systems & Network Training

Complete C programming training course description A hands-on introduction to programming in the ANSI C programming language. The course initially moves at a fast pace in order to spend as much time as possible on the subject of pointers - the area which cause the most bugs in C programs. What will you learn Write ANSI C programs Use the C libraries Debug C programs Examine existing code and determine its function. Complete C programming training course details Who will benefit: Programmers wishing to learn C. Programmers wishing to learn C++ or Java. Prerequisites: None, although experience in another high level language would be useful. Duration 5 days Complete C programming training course contents Getting started The compilation process, comments, main(), statement blocks, printf(). C data types and operators char, int, float and double, qualifiers, arithmetic and assignment operators, precedence, Associativity. Basic I/O C libraries, stdin and stdout, getchar(), putchar(), printf() formatting. Flow control if else, dangling elses, else if, while and for loops. switch statements, the null statement, break, continue and gotos. Functions Function calls, arguments and return types, function declarations (prototypes), function definitions, scope of variables. The preprocessor Preprocessor actions, macros, #include. Libraries and their relationship with header files. Conditional compilation. More data types and operators Logical, bitwise and other operators, type conversion, casting, typedefs and access modifiers. Arrays Declaring and handling arrays, common gotchas, multidimensional arrays. Pointers What are pointers? Why they are so important, declaring and using pointers,The three uses of the *,pointer example - scanf, pointers as arguments. More pointers Golden rules of pointers and arrays, pointers to arrays, pointer arithmetic, arrays of pointers, multiple indirection. Character/string manipulation Arrays of characters, string definition, working with strings, String library. Program arguments argc and argv, example uses,char *argv[] versus char ** argv. Program structure and storage classes Globals (externals), multi source programs, the look of a C program. Structures Declaration, the . and - operators, unions and bitfields. Library functions File handling, fopen and fclose, reading from and writing to files, fseek().calloc() and malloc()

Complete C programming
Delivered in Internationally or OnlineFlexible Dates
£3,697

Oracle SQL foundation

5.0(3)

By Systems & Network Training

Oracle SQL training course description The Oracle SQL course is designed to give delegates practical experience in writing SQL statements and scripts using Oracle SQL. The basic SELECT statement, the use of SQL functions and the basic table and view handling statements are introduced. What will you learn Create SQL statements to query database tables. Use standard aggregate functions and related SELECT statement clauses. Join Tables. Use basic subqueries and the set operators. Use numeric, character and date functions. Use conversion and other miscellaneous functions. Use SQL parameters. Use complex subqueries. Create and alter tables and views. Insert, update and delete rows in database tables. Manage sequences and synonyms. Oracle SQL training course details Who will benefit: Anyone who needs to use and understand Oracle SQL to query and update data in an Oracle database. Prerequisites: None. Duration 3 days Oracle SQL training course contents Retrieving data with the SELECT statement The SELECT statement, The SELECT and FROM clauses, Conditions and the WHERE clause, Other conditional operators, Logical operators, The ORDER BY clause, Column aliases, Arithmetic expressions, Precedence of operators. Aggregate functions Overview of built In aggregate functions, The GROUP BY clause, The HAVING clause. Joining tables Overview of table joins, Inner joins, Table aliases, Outer joins, Self joins, ANSI standard joins. Basic subqueries and set operators Overview of subqueries, Basic subqueries, Set operators, The union, intersect and ,minus operators. Numeric, character and data functions Function types, Using the table dual to try out functions, Numeric functions, Character functions, String concatenation, Date arithmetic and date functions. Conversion and miscellaneous functions Conversion functions, The NVL and NVL2 functions, The DECODE function, CASE expressions, The COALESCE and NULLIF functions. SQL parameters Command line substitution parameters, The accept command, The define and undefine commands. Complex subqueries Subqueries usage, In-line views, Top-N queries, Subqueries with joins, Multi column subqueries, Correlated subqueries, Subquery rules, Using the ANY, ALL and SOME operators. Managing data Inserting rows, Updating rows, Deleting rows, Verifying updates, Transaction control, Commit and rollback, Savepoints, Commits and constraints, Amending data in SQL developer. Managing tables Creating tables, Specifying constraints, Altering tables, columns and constraints, Dropping tables, columns and constraints, Recovering dropped tables, Copying tables. Managing indexes and views Creating indexes, Dropping indexes, Listing indexes, Creating and using views, Dropping views, Listing views. Managing sequences and synonyms Create a sequence, View sequence details, Create a synonym, List synonyms.

Oracle SQL foundation
Delivered in Internationally or OnlineFlexible Dates
£2,367

Educators matching "Arithmetic"

Show all 10
Akks Private Tuition And Education Consultancy

akks private tuition and education consultancy

London

My company “AKKS Private Tuituon And Education Consultancy Limited” was established On 17 / 06 / 2021,My company is private tutoring and consultancy in London UK. My company's system: my first lesson is free for demonstration purposes. (I trust my training and work experience) The satisfied student continues his/her course. made my introductions from web and Gave free lessons, Online lessons ( Via Webex Meeting System ) and face-to-face lessons continued in Anywhere in th World. I searched and examined separately for each level. We have good knowledge and Experiences about UK’s Education system for Each School Years.We moved in UK and very good location in London. The satisfied students and Adults told his neighbour, relative or friend, After 15 years of active work in private lessons, We have improved myself. My system is very simple first lessons (Mathematics / Science / Mental Arithmetic / Turkish Language ) are given free of charge for promotional purposes. Afterwards, the satisfied students continue the lesson. Then, private lesson training in friends will continue after the free trial. Right Now we have enough Private lessons but Our Company have 3 Main goal form y company.First one is Private lessons (Online / Face to Face) , Second one is Group Lessons, Final one is the Education Consultancy in UK. My company and Myself UK has a lot of competitors in the information accumulation main criteria to choose me but to use similar methods is that active communication and lessons of experience. I will apply the same method while giving private tutoring in the UK and In this way, I will be more successful in private lessons in England. I also received mental arithmetic training and I am studying intelligence games. After the training in intelligence games, the lessons will be even more fun.I think , with my Experiences and methods we will step into very successful education-related businesses in England. With my company , I am adapting my More Than 10 Years experiences in the education system in England . We are doing my best to contribute to the UK's education system. The work We have done while I am here is the guarantee of my future success . My main philosophy is to touch the world of many more students and contribute to them.

Azure Charitable Enterprises

azure charitable enterprises

Cramlington

In recent years, our ability to generate funds from our charitable businesses has become increasingly important to our clients as budgets for the provision of care services (for our clients) have been progressively reduced (since 2009/10). Years of significant under funding (of Local Authorities across the country), coupled with rising demand and costs for care and support, have combined to push adult social care services to breaking point. Since 2010, Local Authorities have had to bridge a £6 billion funding shortfall just to keep the adult social care system going. In addition the Local Government Association estimates that adult social care services face a £3.5 billion funding gap by 2025, just to maintain existing standards of care, while latest figures show that councils in England receive 1.8 million new requests for adult social care a year – the equivalent of nearly 5,000 a day. Decades of failures to find a sustainable solution to how to pay for adult social care for the long-term, and the Government’s recent decision to delay (again) publication of its long-awaited green paper on the issue is increasingly problematic as political leaders (national and local) remain reluctant to discuss and inevitably determine that increases to income tax (e.g. 1p on basic rate income tax), and/or national insurance premiums (e.g. 1p increase) and/or council tax (e.g. 3%) are unavoidable and entirely necessary. While Azure is a non-political organisation, we are naturally concerned by the failure of policy-makers to grip what is, after all, a fairly rudimentary exercise in basic arithmetic. Moreover, from a practitioner perspective, the fragility of the system is illustrated most starkly by the number of care providers that are reluctantly closing their operations or returning contracts to Local Authorities with the result that there is significantly less choice and a lack of capacity to support the rising number of people with care needs. The Centre for Economics and Business Research have recently reported (December 2018) that 59% of the providers they surveyed (nationally) have said that they have had to hand back contracts over the past year and 68% have said they will need to do so in the near future. Service closures are obviously the last resort for any provider; and it is at odds with the way Azure and the majority of our fellow providers usually operate, particularly when we have supported individuals for the majority of their adult lives. It is, however, the clearest indication yet that the under funding of social care is having a deeply negative impact on providers and their ability to deliver critical support to vulnerable adults. We are indeed fortunate (to an extent) that the charitable businesses we operate - and public support for them – helps to sustain our care services. We are however concerned (and for many of our fellow care providers) that there is now: an untenable, over-reliance on the goodwill of an already-overstretched charity sector (that is already subsidising the delivery of care services); an entirely ill-advised presumption that the funding gap can be met by armies of unpaid or under-paid carers; an assumption that the approach to the delivery of care can be re-designed to balance budgets and deliver economies without having an adverse impact on the nature and level of care clients need.

iStudy UK

istudy uk

We understand more than anyone how important it is for you to get the right qualifications at the right time. We also understand that when you have a lot to do, you might not always have the time free to go to a place of study. That is why we created this site, so you can take all the time you need to learn more about your chosen topics as well as be able to do the whole thing from home. We believe in empowering people by offering them opportunities to expand and extend their knowledge and skill set as well as giving them the support they need to achieve great things. With thousands of courses available and a team who will do just about anything to help you, it is safe to say that you will not find a better course provider on the internet and so we would love to work with you to make sure that you get the best experience and best results out of your education. WHAT WE DO Here at iStudy we provide a range of online training courses for those who want to gain new skills, and qualifications and update their knowledge. iStudy training courses are delivered entirely online through our sophisticated student learning portal. The student learning portal is an online learning management system that allows students to study for their courses online. This innovative technology means there is no need to attend any classes or take time off work to study. Professionally accredited courses All our courses are delivered in partnership with nationally recognised awarding bodies so be assured that what you learn with us matters when it comes to achieving your career goals. Study that suits you You do not have to give up your job or your life to get a new qualification, you can learn anytime, anywhere.

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