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Information on the risks and practical advice to address them TSC's eBooks, whitepapers, and reports cover some of the most important risks in information and cyber security — risks that constantly challenge information and cyber security professionals who work tirelessly to reduce them across their organisations and home users alike.
Information on the risks and practical advice to address them TSC's eBooks, whitepapers, and reports cover some of the most important risks in information and cyber security — risks that constantly challenge information and cyber security professionals who work tirelessly to reduce them across their organisations and home users alike.
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Want to master basic algebra? Engineering, physics, pharmaceuticals and many other industries require excellent numerical skills, so it's important to know your algebra if you want to work in these fields. This Build Your Algebra Fundamentals (New version) Course will help you gain fundamental practical skills and help you reach a higher level of learning, whether you're a student or professional. This essential algebra course will train you to develop your critical thinking skills, so you can become a master at problem-solving and logical reasoning. Even if you have little or no knowledge of the subject, in just a few hours, you'll be able to tackle more advanced algebra equations and simplify equations with ease. You'll explore all levels of algebra, including common algebraic terminology, and will get the chance to tackle beginner and advanced problems. 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Highlights of this Build Your Algebra Fundamentals (New version) Course Familiarise with basic algebraic expressions and concepts Learn how to multiply and divide algebraic expressions Understand how to expand and simplify brackets Solve linear equations and inequalities with ease Expand your knowledge of algebraic identities Get an overview of polynomials in abstract algebra Familiarise with the coordinate plane and the axis of symmetry What you'll learn Higher Indices - Laws of Indices (Exponent) Formula - Change the subject of formula Rational Expressions - Simplification of Algebraic Fractions to its lowest form BODMAS - Adding and removing brackets in algebraic expressions Graphs - Coordinate Axis, Points and Line Graph Linear equations in one variable and word problems Linear Inequalities Simultaneous linear equations- Graphical method, Substitution method, Equating coefficient & cross multiplication method Graphical method of solving simultaneous linear equations Word problems with the help of simultaneous linear equations Quadratic equations using Factorization method and Quadratic Formula Quadratic equations using squaring complete method Equations reducible to quadratic equations Word problems of Quadratic equations Quadratic polynomials Knowledge of nature of roots of quadratic equations Zeros of polynomials α, β & γ Addition, Subtraction,Multiplication and Division of Algebraic Expressions Remainder Theorem & Factor Theorem Directed Numbers (Integers) Finding Numerical Value of Algebraic Expressions Factorization Techniques like common factors, regrouping , splitting the middle term and using identities Algebraic Identities like ( a - b ) ² , ( a + b ) ³ , a ³ - b ³ , ( a + b + c ) ² etc Requirements Knowledge of Mathematics till 5th grade Introduction Lecture 1 Introduction FREE 00:03:00 Fundamental concepts on Algebraic Expressions Lecture 2 What is Algebra FREE 00:02:00 Lecture 3 Simple Equations 00:05:00 Lecture 4 What are Polynomials 00:04:00 Lecture 5 Terms in Polynomials 00:03:00 Lecture 6 Degree of Polynomials 00:05:00 Lecture 7 Writing statements to algebraic form 00:04:00 Operations on Algebraic Expressions Lecture 8 Integers and common mistakes in solving integers 00:13:00 Lecture 9 Arrangement of Terms 00:07:00 Lecture 10 Powers on integers 00:04:00 Lecture11 Simplification using BODMAS 00:08:00 Lecture 12 Distributive Properties in Polynomials 00:04:00 Lecture 13 Simplify Polynomials 00:10:00 Lecture 14 Additions of Polynomials 00:06:00 Lecture 15 Subtractions of Polynomials 00:10:00 Indices ( Exponents) Lecture 16 The rules of Indices in algebra 00:11:00 Lecture 17 Fractional indices 00:10:00 Lecture 18 Understanding indices (practice questions) 00:07:00 Lecture 19 Problems from IGCSE Last year papers 00:09:00 Multiplication and Division of Algebraic expressions Lecture 20 Multiplication of monomial to Polynomial 00:09:00 Lecture 21 Multiplication of Polynomial by Polynomial 00:06:00 Lecture 22 Division of algebraic expression by a monomial 00:08:00 Lecture 23 Division of algebraic expression by another polynomial 00:09:00 Lecture 24 Division of a polynomial by another polynomial with remainder 00:11:00 Brackets in Algebra Lecture 25 Rules of brackets 00:04:00 Lecture 26 Simplification by removing brackets 00:11:00 Linear equations in one variable Lecture 27 Simplification of algebraic fractions 00:07:00 Lecture 28 Rules to solve linear equations in one variable 00:03:00 Lecture 29 Solving linear equations in one variable 00:07:00 Lecture 30 Solving complex linear equations in one variable 00:10:00 Lecture 31 Word problems on linear equations in one variable 00:13:00 Algebraic Identities Lecture 32 What are Identities? 00:05:00 Lecture 33 Identity ( a + b ) ² 00:13:00 Lecture 34 Identity ( a - b ) ² new 00:07:00 Lecture 35 Identity a² - b² = (a-b) (a +b ) new 00:07:00 Lecture 36 -- Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c old 00:07:00 Lecture 37 Identity (x + a) (x + b) Identity Derivation & Application new 00:08:00 Lecture 38 Pascal's Triangle _ Identity ( a + b ) ³ new 00:07:00 Lecture 39 Identities( a - b ) ³, ( a ³ + b ³) and (a ³ - b ³) new 00:13:00 Lecture 40 - Standard Identities a ³ + b ³ + c ³ - 3 a b c 00:10:00 Formula : Change of subject of formula Lecture 41 -Changing the subject of formula 00:08:00 Linear Inequalities Lecture 42 - Linear Inequalities 00:12:00 Resolve into factors Lecture 43 - Factorization by taking out common factor 00:10:00 Lecture 44 - Factorization by grouping the terms 00:09:00 Lecture 45 - factorize using identity a ² - b ² 00:07:00 Lecture 46 - factorize using identity (a + b )² and (a - b )² (2) 00:08:00 Lecture 47 - factorize using identity ( a + b + c ) ² 00:05:00 Lecture 48 - factorization by middle term split 00:12:00 Algebraic Fractions Lecture 49 -Simplification of algebraic fractions 00:06:00 Coordinate axis - points and Line graph Lecture 50 All that you need to know about co ordinate axis 00:04:00 Lecture 51 Some important facts needed to draw line graph 00:03:00 Lecture 52 - How to draw a line graph on coordinate plane 00:03:00 Lecture 53 Drawing line graphs 00:06:00 System of simultaneous linear equations in two variables Lecture 54 Simultaneous Linear Equations in two variables- intro 00:03:00 Lecture 55 Graphical method of solving linear equations 00:06:00 Lecture 56 Graphical method - more problems 00:10:00 Lecture 57 Method of Elimination by substitution 00:09:00 Lecture 58 Method of Elimination by Equating coefficients 00:11:00 Lecture 59 Method of Elimination by cross multiplication 00:07:00 Lecture 60 Equations reducible to simultaneous linear equations 00:12:00 Lecture 61 Word Problems on Linear equations 00:18:00 Polynomials Lecture 62 Polynomials and Zeros of polynomials 00:10:00 Lecture 63 Remainder Theorem 00:04:00 Lecture 64 Factor Theorem 00:08:00 Lecture 65 Practice problems on Remainder and Factor Theorem 00:09:00 Lecture 66 Factorization using factor Theorem 00:10:00 Quadratic Polynomials Lecture 67 Zeros of polynomials α, β & γ 00:10:00 Lecture 68 Relation between zeros and coefficients of a polynomials 00:13:00 Lecture 69 Finding polynomials if zeros are known 00:06:00 Lecture 70 Practice problems on zeros of polynomials 00:10:00 Lecture 71Problems solving with α and β (part 1) 00:11:00 Lecture 72 Problems solving with α and β (part 2) 00:10:00 Quadratic Equations Lecture73 what are Quadratic equations 00:03:00 Lecture 74 Solutions by factorization method 00:12:00 Lecture 75 Solutions by completing square formula 00:06:00 Lecture 76 Deriving Quadratic formula 00:05:00 Lecture 77 Practice problems by Quadratic formula 00:07:00 Lecture 78 Solving complex quadratic equations by Quadratic Formula 00:11:00 Lecture 79 Solutions of reducible to Quadratic Formula 00:09:00 Lecture 80 Skilled problems on Quadratic Equations 00:07:00 Lecture 81 Exponential problems reducible to Quadratic Equations 00:06:00 Lecture 82 Nature of Roots of Quadratic Equations 00:09:00 Lecture 83 Word problems on quadratic Equations Part 1 00:13:00 Lecture 84 Word problems on quadratic Equations Part 2 00:11:00
Overview Boost your functional math skills to progress in work, education and life. This Functional Skills Maths Course will guide you in every possible way to gain confidence and fluency in maths. The Functional Skills Maths Training includes various training modules to develop your math skills. Throughout this training, you'll learn about integers and the methods for adding, subtracting, multiplying and dividing integers. The course will also discuss factors and multiples, fractions, ratios and proportions, etc. By the end of the program, you'll have the expertise to get instant solutions to various math problems. Learning Outcomes Know the various operations on integers Expand your knowledge of factors and multiples Understand how to solve various math equations using the BODMAS rule Become efficient in applying basic operations involving decimals Know about the unitary method and its application Why You Should Choose Functional Skills Maths Training Course Lifetime access to the course No hidden fees or exam charges CPD Qualification Standards certification on successful completion Full Tutor support on weekdays (Monday - Friday) Efficient exam system, assessment, and instant results Download Printable PDF certificate immediately after completion Obtain the original print copy of your certificate, dispatch the next working day for as little as £9. Improve your chance of gaining professional skills and better earning potential Who is this Course for? The Functional Skills Maths Training is for anyone interested in improving their functional maths skills to live independently. As there is no experience and qualification required for this course, it is available for all students from any academic background. Requirements Our Functional Skills Maths Course is fully compatible with any kind of device. Whether you are using a Windows computer, Mac, smartphone or tablet, you will get the same experience while learning. Besides that, you will be able to access the course with any kind of internet connection from anywhere at any time without any kind of limitation. Career Path This course will provide you with the necessary knowledge and skills required to succeed in this sector. You will be ready to enter the relevant job market after completing this course. On top of that, the course will enhance your ability to earn an average salary of £52,500 annually. Functional Skills Maths Training Integers ( Directed Numbers) Lecture 1 Introduction FREE 00:00:00 Lecture 2 Quick glance at number system FREE 00:05:00 Lecture 3 Integers and ordering of integers 00:06:00 Lecture 4 Addition and Subtractions of Integers 00:07:00 Lecture 5 Operations on Integers 00:04:00 Lecture 6 Multiplication and Division of Integers 00:04:00 Lecture 7 Powers of Integers (Exponents) 00:04:00 Factors and Multiples Lecture 8 Complete knowledge about factors and multiples 00:06:00 Lecture 9 Divisibility tests for 2,3,4,5,6 00:07:00 Lecture 10 Divisibility rules 7,8,9,10,11 00:06:00 Lecture 11 Prime Factorization 00:06:00 Lecture 12 Highest Common Factor HCF 00:10:00 Lecture 13 Least Common Multiple LCM FREE 00:16:00 Lecture 14 Relation between LCM and HCF 00:04:00 Fractions Lecture 15 Classification of Fractions 00:04:00 Lecture 16 Convert mixed to improper and improper to mixed fractions 00:03:00 Lecture 17 Equivalent Fractions 00:04:00 Lecture 18 Comparing Fractions after converting to like fractions 00:09:00 Lecture 19 Reducing a fraction to lowest term 00:03:00 Lecture 20 Addition and subtraction OF fractions 00:08:00 Lecture 21 Multiplication and division of fractions 00:11:00 Lecture 22 Word problems on fractions 00:16:00 Simplification Rule : BODMAS Lecture 23 BODMAS and rules to remove brackets 00:03:00 Lecture 24 Simplify expressions using BODMAS rules 00:05:00 Lecture 25 Simplify expressions involving fractions using BODMAS 00:07:00 Decimal numbers Lecture 26 Decimal numbers in relation to fractions 00:08:00 Lecture 27 Like and unlike Decimals 00:05:00 Lecture 28 Ordering of Decimal numbers 00:10:00 Lecture 29 Addition and subtraction of Decimal 00:07:00 Lecture 30 Multiplication of Decimal 00:03:00 Lecture 31 Division of Decimal 00:00:00 Rational Numbers Lecture 32 Rational number 00:02:00 Lecture 33 Representation of Rational Numbers on Number line 00:04:00 Lecture 34 Determining which fraction is terminating or non terminating 00:05:00 Lecture 35 shortcut method of writing decimal expansion of fraction to decimal 00:08:00 Approximation Lecture 36 Rounding to whole number 00:06:00 Lecture 37 Rounding to required number of decimals (1 d.p. ) 00:05:00 Lecture 38 rounding to significant digits 00:07:00 Lecture 39 Practice question on three methods of approximation 00:05:00 Estimation and Scientific Notation or Standard form Lecture 40 Estimation 00:05:00 Lecture 41 Scientific Notation 00:07:00 Lecture 42 Operation on numbers when they are in scientific notation 00:06:00 Percentage Lecture 43 Percentage to fraction and fraction to percentage 00:06:00 Lecture 44 Percentage of a quantity and conversation to decimal 00:05:00 Lecture 45 Expressing one quantity as percentage of another quantity 00:06:00 Lecture 46 Finding increase decrease percent 00:05:00 Lecture 47 Uses of percentages-Word Problems 00:09:00 Ratio and Proportion Lecture 48 Ratio- How to express as simple ratio 00:09:00 Lecture 49 How to compare Ratios 00:04:00 Lecture 50 Word problems on finding ratios FREE 00:07:00 Lecture 51 To divide a given quantity into a given Ratio 00:11:00 Lecture 52 Proportion 00:04:00 Lecture 53 Practice problems on Proportion 00:00:00 Lecture 54 Continued proportion 00:06:00 Unitary Method and its Applications Lecture 55 Direct Variation ( or proportion) 00:04:00 Lecture 56 Problems based on Direct proportion 00:10:00 Lecture 57 Inverse Variation ( or proportion) 00:10:00 Lecture 58 Multiple Ratios 00:10:00 Profit , Loss, discount and Tax Lecture 59 Basics - Profit and Loss 00:04:00 Lecture 60 More practice problems on Profit & Loss 00:06:00 Lecture 61 Selling price formula and Problems 00:04:00 Lecture 62 Cost price formula and Problems 00:03:00 Lecture 63 Higher problems on Profit and Loss 00:08:00 Lecture 64 Basics - Discount 00:05:00 Lecture 65 Practice problems on Discount 00:04:00 Lecture 66 Tax 00:06:00 Resources Resources - Functional Skills Maths Training 00:00:00
Introduction Introduction 00:02:00 Geometry Lines and Angles (Basics) 00:07:00 Parallel lines (Basics) 00:06:00 Practice Problems 1 (Lines and Angles) 00:06:00 Triangles (Basics) 00:11:00 Practice Problems 2 (angle sum and exterior angle Property) 00:10:00 Pythagoras Theorem 00:13:00 Inequalities in Triangles 00:06:00 Sine and Cosine Rule 00:12:00 Median, Altitude, Angle bisector 00:06:00 Practice Problems 3 00:11:00 Properties of Medians 00:09:00 Practice Problems 4 00:07:00 Properties of Equilateral Triangles 00:04:00 Some special Quadrilaterals 00:08:00 Polygons-interior angles, diagonals etc. 00:08:00 Angle Bisector Theorem 00:07:00 Congruent Triangles 00:06:00 Similar Triangles 00:14:00 Practice Problems 5 00:10:00 Circle 00:10:00 Cyclic Quadrilateral _ Tangent to circle 00:07:00 Areas Areas of Parallelogram & Triangle 1 00:10:00 Areas of Parallelogram _ Triangle 2 00:10:00 Practice Problems based on Areas 1 00:05:00 Practice Problems based on Areas 2 00:12:00 Mensuration of 2 dimensional figures Mensuration Formulae 00:07:00 Practice problems on 2-d figures 00:11:00 Assignment (Video) on 2 - d figure 00:02:00 Areas related to the circle 00:05:00 Practice questions on areas related to circle 00:10:00 Practice Test (Check your knowledge of Geometry) Practice Test (Geometry) 00:02:00 Concept of Unit Digit Lecture 32 What is Unit Digit? 00:40:00 How to find unit digit of numbers with exponents 00:10:00 Practice Problems based on Unit Digit 00:08:00 Simplification Problems-1 Simplifications based on Percentages 00:11:00 Simplification based on Exponents 00:12:00 Fastest method of finding square roots 00:12:00 Fastest method of finding cube roots 00:03:00 Simplification based on square and cube roots 00:16:00 Lecture 40 Simplification Problems 00:50:00 Crack Simplification problems-2 Lecture 41 Simplification problems Type 1 00:10:00 Simplification problems Type 1 00:08:00 Simplification problems Type 2 00:08:00 Simplification problems Type 3 00:08:00 Simplification problems Type 4 00:07:00 Finding smallest and greatest from difficult exponents 00:08:00 Simplification using Digital sum What is Digital sum 00:05:00 Lecture 44 What is Digital sum? 00:10:00 How to apply Digital sum technique in different operations 00:14:00 Simplification problems using Digital sum -1 00:07:00 Simplification problems using Digital sum -2 00:06:00 Time and Work Lecture 49 Simplification problems using Digital sum -2 00:06:00 Lecture 50 Resources download 1 00:55:00 Problems based on persons, days, work and hours 00:12:00 Short cut formulas for most common problems 00:11:00 Problems based on Two Persons 00:06:00 Problems based on three Persons 00:10:00 Based on Efficiency 00:13:00 Complex problems on Efficiency 00:10:00 Fraction of work 00:07:00 Leaving and Joining - 1 00:06:00 Men, women and boys 00:05:00 Work and wages 00:11:00 Pipes and Cisterns Lecture 62 Resources download 1 00:25:00 Basics of pipes and cisterns 00:06:00 Pipes and cisterns - Type 1 00:07:00 Pipes and cisterns - Type 2 00:04:00 Pipes and cisterns - Type 3 00:07:00 Pipes and cisterns - Type 4 00:06:00 Pipes and cisterns - Type5 00:05:00 Speed , Distance and Time Lecture 69 Speed, Distance and Time Resources download 00:40:00 Basic Concepts and simple problems 00:10:00 Problems based on average speed 00:07:00 Problems of finding Distance 00:13:00 Practice Problems 1 00:10:00 Practice Problems 2 00:08:00 Practice Problems 3 00:07:00 Boats and Streams Lecture 76 Boats and Streams 00:30:00 Basics of Boats and streams 00:10:00 Finding speed of boat or stream 00:13:00 Problems based on finding Distance 00:06:00 Latest Problems on Boat and cisterns 00:11:00 Percentage Percentage Basics 1 00:10:00 Percentage Basics 2 00:04:00 Fractional Values of Percentages 00:09:00 Lecture 84 Simplification using fractional values of Percentages-1 00:06:00 Simplification problems of Percentage 2 00:05:00 Lecture 86 Article for Resources 00:30:00 Word Problems Lecture 87 Problems based on Marks in examination 00:15:00 Problems based on Price and Quantity 1 00:08:00 Problems based on Price and Quantity 2 00:08:00 Lecture 90 Word problems based on Income 00:08:00 Lecture 91 Resources for the section 'Word Problems' 00:35:00