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Algebra is one of the most common and malleable types of mathematics, and it is also one of the most significant since primary algebra used by electricians, engineers, and nearly everyone in between. This Pefect your Algebra Fundamentals is intended for individuals with no prior knowledge of Algebra. This course includes all the fundamental concepts of Algebra, and each step-by-step arranged modules will explain topics in a mild and an approachable manner. You will understand the basic terminology of Algebra, following with finding the numerical value of Algebraic expressions, addition, subtraction, multiplication and division of Algebraic expressions, directed numbers, higher indices, use of brackets in Algebra and many more. To sum up, theories explained in an interactive and practical format and then further demonstrated with questions to ensure you have a good understanding of the topics by the end of this course. What Will I Learn? Apply laws of Indices ( Exponents) on algebraic expressions. Algebraic Identities used in algebra and their application like ( a - b ) ² , ( a + b ) ³ , a ³ - b ³ , ( a + b + c ) ² etc Factorize using common factors, regrouping , splitting the middle term, using identity a² - b² , (a+b)² , (a+b)² ,a ³ + b ³ + c ³ - 3 a b c etc Solve all types of Linear equations in one variable Word problems based on linear equations Knows about adding and removing brackets in algebraic expressions Change the subject of formula simplify fractions with denominators algebraic expression and bring them to its lowest form Add , subtract , multiply and divide any algebraic expression Divide one polynomial by another by long division method Find value of any algebraic expression when value of variable is known Fully familiar with rarely used identity a ³ + b ³ + c ³ - 3 a b c Learn to draw line graph Solve Linear Inequalities Able to solve all the problems of simultaneous linear equations by applying different methods Able to solve linear equations with 1/2 variables graphically Able to solve real world problems with the help of simultaneous linear equations Solve Quadratic equations using Factorization method and Quadratic Formula Solve Quadratic using squaring complete method Solve all types of complex Quadratic equations and reducible to quadratic equation Knowledge of nature of roots of quadratic equations Learn to solve different types of word problems on Quadratic equations Requirements Knowledge of Mathematics till 5th grade Who is the target audience? GMAT , GRE and MBA entrance exams students looking for revision of Algebra fundamentals Wants to brush up basics of algebra in Mathematics Current IGCSE students because course is designed to cover topics of Algebra Current Algebra students of CBSE , ICSE board . Middle school, High school or early college level students If Algebra is always trouble for you then this course is specially for you as it will teach from very basics to in depth knowledge giving lots of practice through solving problems Students who wants to learn all types of factorisation especially middle term split High school students who have gaps in their knowledge and would like to fill them with basics Introduction Lecture 1 Intro video Algebra Introduction final 00:02:00 Fundamental concepts on Algebraic Expressions Lecture 2 Terminology used in Algebra 00:05:00 Lecture 3 Language of Algebra 00:06:00 Lecture 4 Practice Questions 00:06:00 Lecture 5 Finding numerical value of an algebraic expression 00:14:00 Operations on Algebraic Expressions Lecture 6 Revision of Directed number ( integers 00:06:00 Lecture 7 Addition and subtraction of monomial expressions 00:06:00 Lecture 8 Addition of algebraic expressions with many terms 00:10:00 Lecture 9 Subtraction of algebraic expressions 00:10:00 Indices ( Exponents) Lecture 10 The rules of Indices in algebra 00:11:00 Lecture 11 Fractional indices 00:10:00 Lecture 12 Understanding indices (practice questions) 00:07:00 Lecture 13 Problems from IGCSE Last year papers 00:09:00 Multiplication and Division of Algebraic expressions Lecture 14 Multiplication of monomial algebraic expressions 00:05:00 Lecture 15 Multiplication of monomial with binomials and trinomials 00:11:00 Lecture 16 Division of algebraic expression by a monomial 00:07:00 Lecture 17 Division of algebraic expression by another polynomial 00:09:00 Lecture 18 Division of a polynomial by another polynomial with remainder 00:11:00 Brackets in Algebra Lecture 19 Rules of brackets 00:04:00 Lecture 20 Simplification by removing brackets 00:11:00 Linear equations in one variable Lecture 21 Simplification of algebraic fractions 00:07:00 Lecture 22 Rules to solve linear equations in one variable 00:03:00 Lecture 23 Solving linear equations in one variable 00:07:00 Pefect your Algebra Fundamentals 00:10:00 Lecture 25 Word problems on linear equations in one variable 00:13:00 Algebraic Identities Lecture 26 Standard Identities (a + b )² and (a - b )² identities 00:11:00 Lecture 27 Standard Identity ( a - b ) ( a + b) = a ² - b ² 00:08:00 Lecture 28 Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c 00:07:00 Lecture 29 Standard Identities ( a + b ) ³ and ( a - b ) ³ 00:09:00 Lecture 30 Standard Identities a ³ + b ³ and a ³ - b ³ 00:06:00 Lecture 31 Standard Identities a ³ + b ³ + c ³ - 3 a b c 00:10:00 Formula : Change of subject of formula Lecture 32 -Changing the subject of formula 00:08:00 Linear Inequalities Lecture 33 Linear Inequalities 00:12:00 Resolve into factors Lecture 34 Factorization by taking out common factor 00:10:00 Lecture 35 Factorization by grouping the terms 00:09:00 Lecture 36 Factorize using identity a ² - b ² 00:07:00 Lecture 37 Factorize using identity (a + b )² and (a - b )² 00:08:00 Lecture 38 Factorize using identity ( a + b + c ) ² 00:05:00 Lecture 39 Factorization by middle term split 00:12:00 Algebraic Fractions Lecture 40 Simplification of algebraic fractions 00:06:00 Coordinate axis - points and Line graph Lecture 41 All that you need to know about co ordinate axis 00:04:00 Lecture 42 Some important facts needed to draw line graph 00:03:00 Lecture 43 How to draw a line graph on coordinate plane 00:03:00 Lecture 44 Drawing line graphs 00:06:00 System of simultaneous linear equations in two variables Lecture 45 Simultaneous Linear Equations in two variables- intro 00:03:00 Lecture 46 Graphical method of solving linear equations 00:06:00 Lecture 47 Graphical method - more sums 00:10:00 Lecture 48 Method of Elimination by substitution 00:09:00 Lecture 49 Method of Elimination by Equating coefficients 00:11:00 Lecture 50 Method of Elimination by cross multiplication 00:07:00 Lecture 51 Equations reducible to simultaneous linear equations 00:12:00 Lecture 52 Word Problems on Linear equations 00:18:00 Polynomials Lecture 53 Polynomials and Zeros of polynomials 00:10:00 Lecture 54 Remainder Theorem 00:04:00 Lecture 55 Factor Theorem 00:08:00 Lecture 56 Practice problems on Remainder and Factor Theorem 00:09:00 Lecture 57 Factorization using factor Theorem 00:10:00 Quadratic Polynomials Lecture 58 Zeros of polynomials α, β & γ 00:10:00 Lecture 59 Relation between zeros and coefficients of a polynomials 00:13:00 Lecture 60 Writing polynomials if zeros are given 00:06:00 Lecture 61 Practice problems on zeros of polynomials 00:10:00 Lecture 62 Problems solving with α and β (part 1) 00:11:00 Lecture 63 Problems solving with α and β (part 2) 00:10:00 Quadratic Equations Lecture 64 what are Quadratic equations 00:03:00 Lecture 65 Solutions by factorization method 00:12:00 Lecture 66 Solutions by completing square formula 00:06:00 Lecture 67 Deriving Quadratic formula 00:05:00 Lecture 68 Practice problems by Quadratic formula 00:07:00 Lecture 69 Solving complex quadratic equations by Quadratic Formula 00:11:00 Lecture 70 Solutions of reducible to Quadratic Formula 00:09:00 Lecture 71 Skilled problems on Quadratic Equations 00:07:00 Lecture 72 Exponential problems reducible to Quadratic Equations 00:06:00 Lecture 73 Nature of Roots of Quadratic Equations 00:09:00 Lecture 74 Word problems on quadratic Equations Part 1 00:13:00 Lecture 75 Word problems on quadratic Equations Part 2 00:11:00 lecture 76 word problems on Quadratic 00:12:00 Mock Exam Final Exam

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

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

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. On course completion, you'll have the confidence to solve simple and more complex algebraic equations, with the ability to apply your newfound skills in the workplace. 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

The Perfect your Mathematics Fundamentals is intended to introduce you to the basics of the number system and provide in-depth knowledge of all the methods that performed on them. This course primarily incorporates Integers, Fractions, Decimals, Factors & Multiples (HCF, LCM), BOD-MAS rules of brackets, Rational numbers, figures and required decimal places. You will also learn how to write big or small numbers in scientific notation or standard style and work with numbers when they are in standard form, and Estimation, Percentage and Ratio-Proportion, Unitary method, Direct and Inverse proportion, Multiple ratios, Profit, Loss, Discount and Tax also included in this course. Moreover, the basic facts, concepts, terms, principles and application of different Math concept combined with every topic. To sum up, this course covers almost all essential Mathematics topics required for GMAT, GRE, and Math Olympiad. What Will I Learn? You will become perfect in addition, subtraction, multiplication, division, and comparison of Integers, fractions, and decimals. Able to apply BOD-MAS rules on simplification problems without making mistakes. Finding H.C.F, LCM and prime factorization will become faster and accurate by applying different methods By applying divisibility tests , you will be easily reduced fraction to lowest terms. Solve real life word problems based on fractions, H.C.F and LCM with full understanding. Locate Rational numbers on number line and write in decimal form using shortcut methods Solve problems easily by applying Estimation and writing numbers in Scientific Notation Will be able to write rounded off answers accurately to 1/2/3 d.p. or to given significant digits Percentage will become very easy for you and you will be able to solve all problems related to percentage easily. Able to solve problems on Ratio and proportion topic Able to solve difficult problems of direct and inverse variations You will be able to solve all kind of word problems on Profit, Loss, Discount, and Tax. Requirements knowledge of Maths up to 5th grade Who is the target audience? GMAT, GRE and MBA entrance exams students looking for revision of Math fundamentals Current IGCSE students because course is designed to cover many Math topics of this board. Middle school and junior school students of all boards High school students who are having trouble keeping up Studying for competitive exams and wants to revise basics Wants to brush up basics of Mathematics Parents looking for extra support with the fundamentals of Maths 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

Want to get rid of the burden of heavy calculations? On the off chance that you have ever been keen on speeding up your Mathematics multiple times quicker with Vedic Math, Mental Math tricks and shortcuts for GMAT, Olympiad, then Best Techniques To Speed Up Your Mathematics will be the best opportunity for you. Through this course, you will receive lots of tips and tricks which will become a component of your calculations. Besides, numerous know-how of Vedic Mathematics also covered in this course which can easily apply in today's Math. By the time you complete this course, you will be set to perform large calculations and enhanced your Mathematics skills. To sum up, this course will be remarkably helpful for individuals who have interest in doing complicated multiplication in less time. What Will I Learn? Apply ' Digital Sum' technique of vedic Mathematics to find right options in multiple choice questions with in a few seconds. Short cuts for 'Time & Work' explained in 11 lectures with lots of practice problems. Find day of the week when any old or coming date is given without counting odd days and leap years Count number of squares , rectangles and triangles with the help of short cut tricks Find answer in 2 seconds of simplification problems like 1/6 +1/12+1/20+1/30+1/42+1/50+1/72+1/90+1/110+1/132 Apply short cuts to solve fraction series like 3/1²×2² + 5/ 2²×3² + 7/ 3²×4² +.............19/9²×10² Simplify in 2 seconds problems like ( 1 - 1/3 ) ( 1 - 1/4 ) ( 1 - 1/5 ) ( 1 - 1/6) ........ ( 1 - 1/50 ) Find the solution of complicated repeated square root problems like √5(√5(√5(√5))) in two seconds Squaring any two digit numbers,decimal and non decimal with the help of vedic math technique Squaring any three digit numbers,decimal and non decimal with the help of vedic math technique Able to find square root of any digit number which are not perfect square easily with a special short trick Able to find cube root of any digit number which are not perfect cube easily with a special short trick With Vedic Maths techniques, Multiplying any digit number by 9 ; 99 ; 999 ; 9999999 etc faster than calculator like 47356 × 99999 and 345 × 99999 Multiplying two numbers of any digit in a single line with the help of very fast technique of Vedic mathematics 'Vertically and Crosswise' Multiply any two digit number or any big number by 11,22 and 33 in brain faster than the calculator . Learn how to find remainder when any big digit number is divided by 9 without actually dividing , faster than calculator With Vedic Maths techniques, Multiplying two large numbers of same digits below the base 1000 ;10000 ;100000 etc in 2 seconds like 996 ×995, 9991 × 9992 Multiplying two numbers of same digits above the base 1000 ;10000 ;100000 etc in 2 seconds like 105 ×106 , 1003 × 1007, 100001 × 100006 Multiplication of numbers one above the base and the other less than the base like 1 0 5 × 9 4 ; 1 0 02 × 996 etc in 2 seconds Multiplying any digit number by 5 , 25 and 125 very fast within 2 seconds. Squaring numbers that end in 5 faster than calculator Requirements Knowledge of mathematics up to fifth grade Knowledge of the Times Tables up to 9 A pen/ pencil and paper Who is the target audience? GMAT, GRE, CAT, Maths Olympiad, Banking Exams and University entrance exams students looking to increase calculation power with the help of Vedic Maths Shortcuts Whoever wants to learn to do calculations without calculator Whoever wants to increase Math power, skill and get rid of fear of Maths School students want to learn short tricks , wants to increase concentration Middle school and High school students want to do calculations many times faster Introduction Lecture 1 Introduction.mp4 FREE 00:02:00 Section 2 Lecture 2 Multiplying any digit number by 11, 22, and 33 00:09:00 Section 3 Lecture 3 Finding remainder when a number of any digits is divided by 9.mp4 00:04:00 Section 4 Lecture 4 Multiplying any digit number by series of 9; 99; 999; 99999 Part 1.mp4.TS 00:08:00 Lecture 5 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 2.mp4 00:07:00 Section 5 Lecture 6 Product of two numbers below the base number 100; 1000 etc.mp4 00:08:00 Lecture 7 Multiplication of Numbers above the base 1000; 10000; 100000 etc.mp4 00:08:00 Lecture 8 Multiplication of numbers one above the base and second less than the base.mp4 00:06:00 Section 6 Lecture 9 multiplying any two digit numbers using Vertically and Crosswise.mp4 00:04:00 Lecture 10 Multiplying three digit numbers using Vertically and Crosswise.mp4 00:05:00 Section 7 Lecture 11 Multiplying any digit number by 5, 25, and 125 faster than calculator.mp4 00:07:00 Section 8 Lecture 12 Squaring numbers that end in 5 using Vedic Math.mp4.TS 00:04:00 Lecture 13 Squaring two digit numbers mentally Using Vedic Math technique.mp4 00:06:00 Lecture 14 Squaring three digit numbers mentally Using Vedic Math technique.mp4 00:05:00 Section 9 Lecture 15 Finding cube of any two digit number faster than calculator.mp4 00:10:00 Section 10 Lecture 16 Approximate value of square root of numbers which are not perfect squares.mp4 00:09:00 Lecture 17 Approximate value of cube root of numbers which are not perfect cubes.mp4 00:05:00 Section 11 Lecture 18 Short tricks to count Number of Squares in given figure.mp4 00:05:00 Lecture 19 Short tricks to count Number of Rectangles in given figure.mp4 00:03:00 Lecture 20 Short tricks to count Number of triangles in given figure.mp4.TS 00:04:00 Section 12 Lecture 21 Finding Day of the week when any date is given in 2 Seconds mentally.mp4 00:12:00 Simplify calculations super fast Lecture 22 Digital sum of a number.mp4 00:04:00 Lecture 23 Digital sum- Addition and Subtraction.mp4 00:10:00 Lecture 24 Digital sums- Multiplication.mp4 00:07:00 Lecture 25 Digital sum- divisions.mp4 00:08:00 Simplification short cuts for complicated fractions and square root problems Lecture 26 Simplification short tricks for complicated fractions.mp4 00:10:00 Lecture 27 Simplification short tricks for fractions series part 1.mp4 00:07:00 Lecture 28 Simplification short tricks for fractions series part 2.mp4 00:05:00 Lecture 29 Simplification short tricks for complicated square root problems.mp4 00:09:00

Number Theory Basics is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Number Theory Basics and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills. Consisting of several modules, the course teaches you everything you need to succeed in this profession. The course can be studied part-time. You can become accredited within 9 hours studying at your own pace. Your qualification will be recognised and can be checked for validity on our dedicated website. Why Choose Teachers Training Some of our website features are: This is a dedicated website for teaching 24/7 tutor support Interactive Content Affordable price Courses accredited by the UK's top awarding bodies 100% online Flexible deadline Entry Requirements No formal entry requirements. You need to have: Passion for learning A good understanding of the English language Be motivated and hard-working Over the age of 16. Certification CPD Certification from The Teachers Training Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. You can get your digital certificate (PDF) for £4.99 only Hard copy certificates are also available, and you can get one for only £10.99 You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Introduction What is Number Theory 00:08:00 Basics of Number Theory Number Theory 00:07:00 Number Sets 00:09:00 Number Patterns 00:10:00 Even & Odd Numbers 00:11:00 Number Properties 00:10:00 Proofs 00:11:00 Number Bases Number Bases 00:12:00 Binary Base 00:12:00 Binary Arithmetics 00:15:00 Hexadecimal Base 00:13:00 Hexadecimal Arithmetics 00:14:00 Factorials Factorial 00:05:00 Double Factorial 00:09:00 Super Factorial 00:03:00 Exponential Factorial 00:03:00 Factorion 00:05:00 Stirling's Formula 00:03:00 Number of Digits 00:03:00 Divisibility Divisibility 00:07:00 Divisibility Rules 00:04:00 Euclidean Division Theorem 00:08:00 GCD & LCM 00:11:00 Bézout's Identity 00:08:00 Perfect Numbers 00:04:00 Practical Numbers 00:05:00 Amicable Numbers 00:04:00 Fibonacci Sequence 00:09:00 Tribonacci Sequence 00:05:00 Golden Ratio 00:11:00 Primes Prime Numbers 00:09:00 Fundamental Theorem of Arithmetics (FTA) 00:10:00 Almost Primes 00:07:00 Prime Powers 00:02:00 Factorial Prime 00:03:00 Euclid's Theorems 00:09:00 The Prime Number Theorem 00:04:00 Unsolved Problems 00:06:00 Number Empire 00:07:00 Modular Arithmetic Modular Arithmetics 00:09:00 Congruence 00:13:00 Congruence Class 00:12:00 Residue Systems 00:04:00 Quadratic Residues 00:04:00 Modular Operations 00:06:00 Inverses 00:07:00 Modular Exponentiation 00:10:00 Wilson's Theorem 00:05:00 Chinese Remainder Theorem 00:09:00 Fermat's Little Theorem 00:05:00 Euler's Totient Function 00:07:00 Euler-Fermat Theorem 00:04:00 Continued Fractions Continued Fractions 00:08:00 Negative Continued Fractions 00:11:00 Finite Continued Fractions 00:14:00 Infinite Continued Fractions 00:17:00 Periodic Continued Fractions 00:10:00 Convergent 00:12:00 Cryptography Cryptography 00:09:00 Early Ciphers 00:11:00 Public Key Cryptography 00:13:00 RSA Encryption 00:11:00 Diffie-Hellman Protocol 00:04:00 Resources Resource - An Introduction to Number Theory 00:05:00

Description: The Medical and Pharmacy Maths course has been designed to help you understand Pharmacy and Medical Math concepts and learn to calculate drug dosages cautiously and accurately. We've created this course with multiple, interactive video contents that cover everything from basic math skills to reading and interpreting labels and physicians' orders, introducing important calculation and conversion concepts. You'll learn how to avoid medication flaws brought about by calculation error and get introduced to numbers of problems that you may face in the real world scenario. Moreover, understand various measurement systems, the Math behind IV infusion, reconstituting liquid medications, and how to calculate medications based on a patient's age or body weight. In short, this comprehensive is ideal if you want to gain calculation skills and develop the competencies required by pharmacy technicians. Assessment: At the end of the course, you will be required to sit for an online MCQ test. Your test will be assessed automatically and immediately. You will instantly know whether you have been successful or not. Before sitting for your final exam you will have the opportunity to test your proficiency with a mock exam. Certification: After completing and passing the course successfully, you will be able to obtain an Accredited Certificate of Achievement. Certificates can be obtained either in hard copy at a cost of £39 or in PDF format at a cost of £24. Who is this Course for? Medical and Pharmacy Maths is certified by CPD Qualifications Standards and CiQ. This makes it perfect for anyone trying to learn potential professional skills. As there is no experience and qualification required for this course, it is available for all students from any academic background. Requirements Our Medical and Pharmacy Maths is fully compatible with any kind of device. Whether you are using Windows computer, Mac, smartphones or tablets, 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 After completing this course you will be able to build up accurate knowledge and skills with proper confidence to enrich yourself and brighten up your career in the relevant job market. Introduction 1 lecture Medical Math and Pharmacy Calculations Mastery - 01 00:01:00 Conversions Medical Math and Pharmacy Calculations Mastery - 02 00:04:00 Medical Math and Pharmacy Calculations Mastery - 03 00:09:00 Medical Math and Pharmacy Calculations Mastery - 04 00:13:00 Conversions Using Ratio - Proportion or Dimensional Analysis Medical Math and Pharmacy Calculations Mastery - 05 00:05:00 Medical Math and Pharmacy Calculations Mastery - 06 00:07:00 Medical Math and Pharmacy Calculations Mastery - 07 00:14:00 Medical Math and Pharmacy Calculations Mastery - 08 00:04:00 Medical Math and Pharmacy Calculations Mastery - 09 00:08:00 Pharmacy Math Medical Math and Pharmacy Calculations Mastery - 10 00:07:00 11- Quantity To Be Dispensed 00:03:00 12 - Single Dose, Single Day, Total Volume 00:12:00 Business Math 13 - Business Math Terminologies 00:08:00 14 - Business Math Mark-up Discount 00:16:00 15 - Retail Business Math Mark-up Amount & Mark-up Percentage 00:08:00 16 - Retail Business Math Discount Amount & Discount Percentage 00:15:00 17 - Pharmacy Business Math Purchase Price, Discount, and Discount Percentage 00:03:00 18 - Pharmacy Business Math Percentage Markup Rate 00:02:00 19 - Pharmacy Business Math Gross Profit Net Profit 00:03:00 Understanding Percentages, Strengths & Concentration 20 - Percentages, Strengths & Concentration 00:15:00 21 - % wv, % ww, % vv 00:06:00 Hospital and Compounding Math: Alligation & Dilution 22 - Review of Percentages, Strengths & Concentration 00:02:00 23 - Alligation & Dilution 00:04:00 24 - Application of Percentage, Alligation & Dilution 00:03:00 25 - Practice Problems 00:17:00 26 - More Practice Problems 00:02:00 Hospital Math: Flow Rate & Drip Rate 27 - Flow Rate vs Drip Rate 00:12:00 28 - Finding the R 00:07:00 29 - Finding the T 00:06:00 30 - Finding the V 00:03:00 Dosage Calculation 31 - Dosage Calculation Based on Weight & Age 00:05:00 32 - Dosage Calculation Based on Body Surface Area (BSA) 00:06:00 33 - BSA Practice Problems 00:03:00 34 - Therapeutic Dose versus Lethal Dose 00:02:00 35 - Therapeutic Range Minimum and Maximum Dose 00:08:00 36 - Dosage Calculation Based on Weight mgkgday & mgkgdose 00:07:00 37 - Pediatric Daily Rate 00:06:00 Order Your Certificates and Transcripts Order Your Certificates and Transcripts 00:00:00

Description: You live and work at the forefront of information security. Every day malicious hackers grow smarter. You always have to stay one step ahead to keep your company safe. This course will be very beneficial for you in that case. This Functional Skills - Maths (Level 3)  covers everything you need to know about becoming a Certified Information Systems Security Professional. Here will learn about security and risk management, asset security, security engineering, communication and network security, identity and access management, security assessment and testing, security operations, and software development security. This cybersecurity certification is an elite way to demonstrate your knowledge, advance your career and become a member of a community of cybersecurity leaders. It shows you have all it takes to design, engineer, implement and run an information security program. So, are you up for the challenge? If yes, then you get this course to become more skilled and an expert. Assessment: At the end of the course, you will be required to sit for an online MCQ test. Your test will be assessed automatically and immediately. You will instantly know whether you have been successful or not. Before sitting for your final exam you will have the opportunity to test your proficiency with a mock exam. Certification: After completing and passing the course successfully, you will be able to obtain an Accredited Certificate of Achievement. Certificates can be obtained either in hard copy at a cost of £39 or in PDF format at a cost of £24. Who is this Course for? Functional Skills - Maths (Level 3) is certified by CPD Qualifications Standards and CiQ. This makes it perfect for anyone trying to learn potential professional skills. 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 (Level 3)  is fully compatible with any kind of device. Whether you are using Windows computer, Mac, smartphones or tablets, 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 After completing this course you will be able to build up accurate knowledge and skills with proper confidence to enrich yourself and brighten up your career in the relevant job market. Course Content Ratio and Proportion Lecture 1 Introduction 00:02:00 Lecture 2 Multiplying any digit number by 11, 22, and 33 00:09:00 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 00:16:00 Lecture 14 Relation between LCM and HCF 00:04:00 Factors 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 term1 00:04:00 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 numbersFractions 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 00:05:00 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 00:06:00 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 ratio1 00:09:00 Lecture 49 How to compare Ratios 00:04:00 Lecture 50 Word problems on finding ratios 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 00:06:00 Lecture 54 Continued proportion 00:06:00 Integers ( Directed Numbers) 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 Los 00:04:00 Lecture 60 More practice problems on Profit & Loss 00:06:00 Lecture 61 Selling price formula and Problems1 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 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.

Calculus Basics is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Calculus Basics and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills. Consisting of several modules, the course teaches you everything you need to succeed in this profession. The course can be studied part-time. You can become accredited within 16 hours studying at your own pace. Your qualification will be recognised and can be checked for validity on our dedicated website. Why Choose Teachers Training Some of our website features are: This is a dedicated website for teaching 24/7 tutor support Interactive Content Affordable price Courses accredited by the UK's top awarding bodies 100% online Flexible deadline Entry Requirements No formal entry requirements. You need to have: Passion for learning A good understanding of the English language Be motivated and hard-working Over the age of 16. Certification CPD Certification from The Teachers Training Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. You can get your digital certificate (PDF) for £4.99 only Hard copy certificates are also available, and you can get one for only £10.99 You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Unit 01: Supplements 1.1 Number Sets 00:10:00 1.2 Graphing Tools 00:06:00 Unit 02: Functions 2.1 Introduction 00:01:00 2.2 Functions 00:15:00 2.3 Evaluating a Function 00:13:00 2.4 Domain 00:16:00 2.5 Range 00:05:00 2.6 One to One Function 00:09:00 2.7 Inverse Functions 00:10:00 2.8 Exponential Functions 00:05:00 2.9 The Natural Exponential Function 00:06:00 2.10 Logarithms 00:13:00 2.11 Natural Logarithms 00:07:00 2.12 Logarithm Laws 00:06:00 2.13 Trigonometric Ratios 00:15:00 2.14 Evaluating Trig Functions and Points 00:18:00 2.15 Inverse Trigonometric Functions 00:12:00 Unit 03 Limits 3.1 Introduction 00:01:00 3.2 What is a Limit? 00:17:00 3.3 Examples 00:15:00 3.4 One-Sided Limits 00:12:00 3.5 The Limit Laws 00:08:00 3.6 Examples 00:15:00 3.7 More Examples 00:15:00 3.8 The Squeeze (Sandwich) Theorem 00:09:00 3.9 Examples 00:10:00 3.10 Precise Definition of Limits 00:08:00 3.11 Examples 00:15:00 3.12 limits at Infinity 00:21:00 3.13 Examples 00:15:00 3.14 Asymptotes and Limits at Infinity 00:10:00 3.15 Infinite Limits 00:12:00 Unit 04: Continuity 4.1 Introduction 00:01:00 4.2 Continuity 00:12:00 4.3 Types of Discontinuity 00:12:00 4.4 Examples 00:17:00 4.5 Properties of Continuous Functions 00:11:00 4.6 Intermediate Value Theorem for Continuous Functions 00:06:00 Unit 05: Derivatives 5.1 Introduction 00:01:00 5.2 Average Rate of Change 00:09:00 5.3 Instantaneous Rate of Change 00:12:00 5.4 Derivative Definition 00:14:00 5.5 Examples 00:10:00 5.6 Non-Differentiability 00:06:00 5.7 Constant and Power Rule 00:09:00 5.8 Constant Multiple Rule 00:07:00 5.9 Sum and Difference Rule 00:07:00 5.10 Product Rule 00:14:00 5.11 Quotient Rule 00:08:00 5.12 Chain Rule 00:14:00 5.13 Examples 00:09:00 5.14 Derivative Symbols 00:04:00 5.15 Graph of Derivatives 00:10:00 5.16 Higher Order Derivatives 00:08:00 5.17 Equation of the Tangent Line 00:07:00 5.18 Derivative of Trig Functions 00:07:00 5.19 Examples 00:19:00 5.20 Derivative of Inverse Trig Functions 00:08:00 5.21 Examples 00:12:00 5.22 Implicit Differentiation 00:17:00 5.23 Derivative of Inverse Functions 00:13:00 5.24 Derivative of the Natural Exponential Function 00:11:00 5.25 Derivative of the Natural Logarithm Function 00:07:00 5.26 Derivative of Exponential Functions 00:06:00 5.27 Derivative of Logarithmic Functions 00:06:00 5.28 Logarithmic Differentiation 00:15:00 Unit 06: Application of Derivatives 6.1 Introduction 00:01:00 6.2 Related Rates 00:08:00 6.3 Examples 00:13:00 6.4 More Example 00:09:00 6.5 More Example 00:10:00 6.6 Optimisation 00:16:00 6.7 Example 00:11:00 6.8 More Example 00:07:00 6.9 Extreme Values of Functions 00:12:00 6.10 Critical Points 00:08:00 6.11 Examples (First Derivative Test) 00:16:00 6.12 More Examples 00:18:00 6.13 Concavity 00:15:00 6.14 Examples 00:13:00 6.15 Second Derivative Test 00:08:00 6.16 Graphing Functions 00:08:00 6.17 Examples 00:21:00 6.18 L' Hôpital's Rule 00:12:00 6.19 Other Indeterminate Forms 00:15:00 6.20 Rolle's Theorem 00:09:00 6.21 The Mean Value Theorem 00:19:00 6.22Application of the Mean Value Theorem 00:04:00 Resources Resource - Fundamentals of Calculus 00:00:00