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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

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

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In this course, we'll learn about runtime semantics and build an interpreter for a programming language from scratch. In the process, we'll build and understand a full programming language semantics.

Overview This comprehensive course on Mathematics Fundamentals will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Mathematics Fundamentals comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Mathematics Fundamentals. It is available to all students, of all academic backgrounds. Requirements Our Mathematics Fundamentals is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 12 sections • 67 lectures • 07:38:00 total length •Introduction: 00:02:00 •Number system: 00:09:00 •Integers and ordering of integers: 00:07:00 •Addition and Subtractions of Integers: 00:09:00 •Operations on Integers: 00:06:00 •Multiplication and Division of Integers: 00:07:00 •Powers of Integers (Exponents): 00:04:00 •Complete knowledge about factors and multiples: 00:07:00 •Divisibility tests for 2,3,4,5,6: 00:07:00 •Divisibility rules 7,8,9,10,11: 00:11:00 •Prime Factorization: 00:13:00 •Highest common factor HCF: 00:13:00 •Word problems based on HCF A: 00:12:00 •Least common multiple LCM: 00:16:00 •Relation between lcm and HCF A: 00:04:00 •Classification of Fractions: 00:04:00 •Convert mixed to improper and improper to mixed fractions: 00:03:00 •Equivalent Fractions: 00:04:00 •Comparing Fractions after converting to like fractions: 00:09:00 •Reducing a fraction to lowest term: 00:04:00 •Addition and subtraction OF fractions: 00:08:00 •Multiplication and division of fractions: 00:11:00 •Word problems on fractions: 00:16:00 •Bodmas and rules to remove brackets: 00:03:00 •Simplify expressions using BODMAS rules: 00:05:00 •Simplify expressions involving fractions using BODMAS: 00:07:00 •Decimal numbers in relation to fractions: 00:08:00 •Like and unlike Decimals: 00:05:00 •Ordering of Decimal numbers: 00:10:00 •Addition and subtraction of Decimal: 00:07:00 •Multiplication of Decimal: 00:03:00 •Division of Decimal: 00:08:00 •Rational number: 00:02:00 •Representation of Rational Numbers on Number line: 00:05:00 •Determining which fraction is terminating or non-terminating: 00:07:00 •Shortcut method of writing decimal expansion of fraction to decimal A: 00:08:00 •Rounding to whole number: 00:06:00 •Rounding to required number of decimals (1 d.p.): 00:05:00 •Rounding to significant digits: 00:07:00 •Practice question on three methods of approximation: 00:05:00 •Estimation: 00:05:00 •Scientific Notation: 00:07:00 •Operation on numbers when they are in scientific notation: 00:06:00 •Percentage to fraction and fraction to percentage: 00:06:00 •Percentage of a quantity and conversation to decimal: 00:06:00 •Expressing one quantity as percentage of another quantity: 00:06:00 •Finding increase decrease percent: 00:05:00 •Uses of Percentages-Word Problems A: 00:09:00 •Ratio- How to express as simple ratio: 00:09:00 •How to compare Ratios: 00:04:00 •Word problems on finding ratios: 00:07:00 •To divide a given quantity into a given Ratio: 00:11:00 •Proportion: 00:04:00 •Practice problems on Proportion: 00:06:00 •Continued proportion: 00:06:00 •Direct Variation (or proportion): 00:04:00 •Problems based on Direct proportion: 00:10:00 •Inverse Variation (or proportion): 00:10:00 •Multiple Ratios: 00:10:00 •Basics - Profit and Loss: 00:04:00 •More practice problems on Profit _ Loss: 00:06:00 •Selling price formula and Problems: 00:04:00 •Cost price formula and Problems: 00:03:00 •Higher problems on Profit and Loss: 00:08:00 •Basics - Discount: 00:05:00 •Practice problems on Discount: 00:04:00 •Tax: 00:06:00

Overview This comprehensive course on Pure Mathematics Fundamentals will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Pure Mathematics Fundamentals comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Pure Mathematics Fundamentals. It is available to all students, of all academic backgrounds. Requirements Our Pure Mathematics Fundamentals is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 14 sections • 193 lectures • 03:43:00 total length •About Course: 00:02:00 •Quick Guide: 00:01:00 •Topics of Essential Revision - 1: 00:00:00 •Negative numbers and operations on Integers: 00:14:00 •The rules of Indices in Algebra: 00:11:00 •Working with indices Part 1: 00:10:00 •Working with indices Part 2: 00:08:00 •Fractional Indices: 00:12:00 •What are Polynomials?: 00:07:00 •Writing statements in Algebraic Form: 00:06:00 •Simplification using BODMAS: 00:08:00 •Distributive Property: 00:07:00 •Addition of Algebraic expressions: 00:13:00 •Subtraction of Algebraic expressions: 00:12:00 •Multiplication of Algebraic Expressions Part 1: 00:05:00 •Multiplication of Algebraic Expressions Part 2: 00:05:00 •Multiplication of Algebraic Expressions Part 3: 00:06:00 •Division of algebraic expressions Part 1: 00:11:00 •Division of algebraic expressions Part 2: 00:10:00 •Division of algebraic expressions Part 3: 00:07:00 •Topics of Essential Revision - 2: 00:00:00 •Factorization by method of common factor: 00:13:00 •Factorization by regrouping the terms: 00:10:00 •Factorization by difference of two squares: 00:11:00 •Factorization using identity (a + b) ² and (a - b) ²: 00:10:00 •Factorization using identity (a + b + c) ²: 00:05:00 •Factorization by middle term split Part 1: 00:12:00 •Factorization by middle term split Part 2: 00:09:00 •Simultaneous Linear Equations: 00:07:00 •Graphical Method: 00:06:00 •Graphical method Continued: 00:11:00 •Elimination by substitution Method: 00:09:00 •Equating the coefficients Method: 00:11:00 •Cross Multiplication: 00:10:00 •Equations Reducible to Linear Equations-1: 00:08:00 •Equations Reducible to Linear Equations-2: 00:14:00 •Introduction to Quadratic Equations: 00:05:00 •Solving Quadratic Equations by Factorization method: 00:09:00 •Writing in completed square form: 00:07:00 •Solving by completed square method: 00:08:00 •Sketching of Quadratic Graphs: 00:12:00 •Quadratic graphs using Transformations: 00:06:00 •Quadratic inequalities: 00:11:00 •Deriving Quadratic formula: 00:05:00 •Solving problems using Quadratic Formula: 00:06:00 •Nature of Roots Part - 1: 00:05:00 •Nature of roots Part - 2: 00:12:00 •Downloadable Resources: 00:00:00 •Distance formula: 00:18:00 •Mid point formula: 00:05:00 •Gradient of a line: 00:11:00 •Graphing using gradient and y intercept: 00:03:00 •Some standard lines: 00:05:00 •Slope intercept form y = m x +c: 00:06:00 •Point slope form and two point form: 00:11:00 •Intersection of line and parabola: 00:10:00 •Past Papers Problems Part 1: 00:09:00 •Past Papers Problems Part 2: 00:11:00 •Past Papers Problems Part 3: 00:09:00 •Past Papers Problems Part 4: 00:12:00 •Past Papers Problems Part 5: 00:12:00 •Downloadable Resources: 00:00:00 •Sequence and series ( video): 00:08:00 •Arithmetic Sequence: 00:10:00 •General term of an A.P.: 00:07:00 •Finding given term is which term: 00:05:00 •Writing sequence when two terms are known: 00:08:00 •Condition for three terms to be in A.P.: 00:05:00 •Sum to n terms of A.P.: 00:06:00 •Practice Problems 1 (A.P.): 00:09:00 •Practice problems 2 (A.P.): 00:07:00 •Practice problems 3 (A.P.): 00:07:00 •Practice problems 4 (A.P.): 00:11:00 •Geometric Progressions: 00:12:00 •Sum to n terms in G.P.: 00:14:00 •Sum to infinite Terms in G.P.: 00:13:00 •Practice Problems 1 (GP): 00:15:00 •Practice Problems 2 (GP): 00:12:00 •Practice Problems 3 (GP): 00:07:00 •Practice Problems based on AP and GP both: 00:15:00 •Past papers problems 1: 00:17:00 •Past papers problems 2: 00:10:00 •Past papers problems 3: 00:11:00 •Downloadable Resources: 00:00:00 •Geometric Progressions - Resources: 00:00:00 •What is Factorial?: 00:07:00 •n-choose -r problems: 00:07:00 •Properties of n - choose -r: 00:05:00 •Binomial Theorem for positive index: 00:20:00 •Expanding using Binomial Theorem: 00:11:00 •Finding the indicated term in the Binomial expansion: 00:11:00 •Finding the indicated term from end: 00:09:00 •Finding the coefficient for given exponent (index) of the variable: 00:09:00 •Finding the term independent of variable: 00:05:00 •Expanding in increasing and decreasing powers of x: 00:09:00 •Practice problems 1: 00:12:00 •Practice Problems 2: 00:09:00 •Practice problems 3: 00:10:00 •Past papers problems 1: 00:15:00 •Past Paper problems 2: 00:13:00 •Past Paper problems 3: 00:09:00 •Downloadable Resources: 00:00:00 •What is Function?: 00:08:00 •Vertical Line Test: 00:04:00 •Value of a Function Graphically: 00:08:00 •Domain Range of a function Algebraically: 00:14:00 •Domain Range of a function Graphically: 00:07:00 •Even & Odd Functions: 00:07:00 •One to one Function: 00:05:00 •Composite Functions: 00:09:00 •How to draw Rational Functions- 1: 00:05:00 •How to draw Rational Functions- 2: 00:10:00 •Inverse of a function Algebraically: 00:05:00 •Inverse of a function Graphically: 00:09:00 •Practice Problems 1: 00:16:00 •Practice Problems 2: 00:11:00 •Downloadable Resources: 00:00:00 •What is Derivative?: 00:08:00 •Derivation of formula for Derivative: 00:06:00 •Differentiation by definition or First Principle: 00:07:00 •Power Rule: 00:22:00 •Practice Problems on Power Rule 1: 00:07:00 •Practice Problems on Power Rule 2: 00:07:00 •Practice Problems on Power Rule 3: 00:05:00 •Practice Problems on Power Rule 4: 00:13:00 •Practice Problems on Power Rule 5: 00:08:00 •Downloadable Resources: 00:00:00 •Tangents and Normals- Basics: 00:13:00 •Practice- Tangents and Normals Part 1: 00:16:00 •Practice- Tangents and Normals Part 2: 00:13:00 •Practice- Tangents and Normals Part 3: 00:11:00 •Practice- Tangents and Normals Part 4: 00:14:00 •Downloadable Resources: 00:00:00 •Stationary Points - Basics: 00:13:00 •Practice- Increasing Decreasing & Maxima Minima part 1: 00:11:00 •Practice- Increasing Decreasing & Maxima Minima part 2: 00:12:00 •Practice- Increasing Decreasing & Maxima Minima part 3: 00:10:00 •Downloadable Resources: 00:00:00 •Concavity-Basics: 00:02:00 •Concavity & Second Derivative: 00:08:00 •Second Derivative Test: 00:09:00 •Practice Problems on second derivative: 00:04:00 •Practice Problem of Maxima Minima using second derivative test Part 1: 00:17:00 •Practice Problem of Maxima Minima using second derivative test Part 2: 00:10:00 •Practice Problem of Maxima Minima using second derivative test Part 3: 00:07:00 •Practice Problem of Maxima Minima using second derivative test Part 4: 00:07:00 •Applications of Maxima and Minima Part 1: 00:09:00 •Applications of Maxima and Minima Part 2: 00:07:00 •Applications of Maxima and Minima Part 3: 00:10:00 •Applications of Maxima and Minima Part 4: 00:09:00 •Applications of Maxima and Minima Part 5: 00:10:00 •Applications of Maxima and Minima Part 6: 00:08:00 •Past Paper Problems on applications of maxima and minima Part 1: 00:09:00 •Past Paper Problems on applications of maxima and minima Part 2: 00:09:00 •Past Paper Problems on applications of maxima and minima Part 3: 00:08:00 •Past Paper Problems on applications of maxima and minima Part 4: 00:07:00 •Chain Rule: 00:12:00 •Rate of change part 1: 00:05:00 •Rate of change part 2: 00:10:00 •Rate of change part 3: 00:07:00 •Past Paper Problems using chain rule -1: 00:06:00 •Past Paper Problems using chain rule -2: 00:07:00 •Past Paper Problems using chain rule - 3: 00:07:00 •Past Paper Problems using chain rule - 4: 00:04:00 •Downloadable Resources: 00:00:00 •What is Integration?: 00:12:00 •Practice Questions 1: 00:06:00 •Practice Questions 2: 00:09:00 •Practice Questions 3: 00:09:00 •Fundamental Theorem of Calculus: 00:09:00 •What is Definite Integration?: 00:10:00 •Finding Definite Integration: 00:09:00 •Practice Questions on Definite Integration 1: 00:10:00 •Practice Questions on Definite Integration 2: 00:10:00 •Practice Questions on Definite Integration 3: 00:15:00 •Area below x-axis: 00:12:00 •Practice Problems on Area below x-axis 1: 00:11:00 •Practice Problems on Area below x-axis 2: 00:13:00 •Practice Problems on Area below x-axis 3: 00:09:00 •Practice Problems on Area below x-axis 4: 00:07:00 •Area between two curves (Basics): 00:15:00 •Practice Problems on Area between two curves 1: 00:06:00 •Practice Problems on Area between two curves 2: 00:13:00 •Practice Problems on Area between two curves 3: 00:12:00 •Practice Problems on Area between two curves 4: 00:10:00 •Practice Problems on Area between two curves 5: 00:13:00 •The Reverse Chain Rule- Indefinite Integration: 00:06:00 •The Reverse Chain Rule- Definite Integration: 00:05:00 •Practice Problems on The Reverse Chain Rule: 00:09:00 •Improper Integrals: 00:06:00 •Volumes by Integration: 00:08:00 •Practice Problems on Volumes by Integration-1: 00:04:00 •Practice Problems on Volumes by Integration-2: 00:04:00

Overview In the design of a bridge to the flight path of an aeroplane, mathematical principles are at play. Now, consider the power and promise held by those who master its intricacies. Welcome to our Math Fundamentals course. Math Fundamentals aligns with this pressing global requirement, laying the bedrock for understanding core concepts that shape academia and real-world applications. Initiating with a comprehensive introduction, this course dives deep into integers, exponents, fractions, and decimals and culminates in applied mathematics subjects like profit and loss, discount, and taxation.  With mathematical fluency increasingly becoming a non-negotiable asset, immersing oneself in Math Fundamentals stands not just as an educational prerequisite but as a vital life skill. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Math Fundamentals. It is available to all students, of all academic backgrounds. Requirements Our Math Fundamentals is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Having these various qualifications will increase the value in your CV and open you up to multiple sectors such as Business & Management, Admin, Accountancy & Finance, Secretarial & PA, Teaching & Mentoring etc. Course Curriculum 14 sections • 67 lectures • 07:39:00 total length •Introduction: 00:02:00 •Number system: 00:09:00 •Integers and ordering of integers: 00:07:00 •Addition and Subtractions of Integers: 00:10:00 •Operations on Integers: 00:06:00 •Multiplication and Division of Integers: 00:07:00 •Powers of Integers (Exponents): 00:04:00 •Complete knowledge about factors and multiples: 00:07:00 •Divisibility tests for 2,3,4,5,6: 00:07:00 •Divisibility rules 7,8,9,10,11: 00:11:00 •Prime Factorization: 00:13:00 •Highest common factor HCF: 00:13:00 •Word problems based on HCF: 00:12:00 •Least common multiple LCM: 00:16:00 •Relation between lcm and HCF: 00:04:00 •Classification of Fractions: 00:04:00 •Convert mixed to improper and improper to mixed fractions: 00:03:00 •Equivalent Fractions: 00:04:00 •Comparing Fractions after converting to like fractions: 00:09:00 •Reducing a fraction to lowest term: 00:04:00 •Addition and subtraction OF fractions: 00:08:00 •Multiplication and division of fractions: 00:11:00 •Word problems on fractions: 00:16:00 •Bodmas and rules to remove brackets: 00:03:00 •simplify expressions using BODMAS rules: 00:05:00 •simplify expressions involving fractions using BODMAS: 00:07:00 •Decimal numbers in relation to fractions: 00:08:00 •Like and unlike Decimals: 00:05:00 •Ordering of Decimal numbers: 00:10:00 •Addition and subtraction of Decimal: 00:07:00 •Multiplication of Decimal: 00:03:00 •Division of Decimal: 00:08:00 •Rational number: 00:02:00 •Representation of Rational Numbers on Number line: 00:05:00 •Determining which fraction is terminating or non-terminating: 00:07:00 •shortcut method of writing decimal expansion of fraction to decimal: 00:08:00 •Rounding to whole number: 00:06:00 •Rounding to required number of decimals (1 d.p. ): 00:05:00 •Rounding to significant digits: 00:07:00 •Practice question on three methods of approximation: 00:05:00 •Estimation: 00:05:00 •Scientific Notation: 00:07:00 •Operation on numbers when they are in scientific notation: 00:06:00 •Percentage to fraction and fraction to percentage: 00:06:00 •Percentage of a quantity and conversation to decimal: 00:06:00 •Expressing one quantity as percentage of another quantity: 00:06:00 •Finding increase decrease percent: 00:05:00 •Uses of Percentages-Word Problems: 00:09:00 •Ratio- How to express as simple ratio: 00:09:00 •How to compare Ratios: 00:04:00 •Word problems on finding ratios: 00:07:00 •To divide a given quantity into a given Ratio: 00:11:00 •Proportion: 00:04:00 •Practice problems on Proportion: 00:06:00 •Continued proportion: 00:06:00 •Direct Variation (or proportion): 00:04:00 •Problems based on Direct proportion: 00:10:00 •Inverse Variation (or proportion): 00:10:00 •Multiple Ratios: 00:10:00 •Basics - Profit and Loss: 00:04:00 •More practice problems on Profit _ Loss: 00:06:00 •Selling price formula and Problems: 00:04:00 •Cost price formula and Problems: 00:03:00 •Higher problems on Profit and Loss: 00:08:00 •Basics - Discount: 00:05:00 •Practice problems on Discount: 00:04:00 •Tax: 00:06:00

Register on the C# Basics today and build the experience, skills and knowledge you need to enhance your professional development and work towards your dream job. Study this course through online learning and take the first steps towards a long-term career. The course consists of a number of easy to digest, in-depth modules, designed to provide you with a detailed, expert level of knowledge. Learn through a mixture of instructional video lessons and online study materials. Receive online tutor support as you study the course, to ensure you are supported every step of the way. Get an e-certificate as proof of your course completion. The C# Basics is incredibly great value and allows you to study at your own pace. Access the course modules from any internet-enabled device, including computers, tablet, and smartphones. The course is designed to increase your employability and equip you with everything you need to be a success. Enrol on the now and start learning instantly! What You Get With The C# Basics Receive a e-certificate upon successful completion of the course Get taught by experienced, professional instructors Study at a time and pace that suits your learning style Get instant feedback on assessments 24/7 help and advice via email or live chat Get full tutor support on weekdays (Monday to Friday) Course Design The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace. You are taught through a combination of Video lessons Online study materials Certification Upon successful completion of the course, you will be able to obtain your course completion e-certificate free of cost. Print copy by post is also available at an additional cost of £9.99 and PDF Certificate at £4.99. Who Is This Course For: The course is ideal for those who already work in this sector or are an aspiring professional. This course is designed to enhance your expertise and boost your CV. Learn key skills and gain a professional qualification to prove your newly-acquired knowledge. Requirements: The online training is open to all students and has no formal entry requirements. To study the C# Basics, all your need is a passion for learning, a good understanding of English, numeracy, and IT skills. You must also be over the age of 16.  Course Content C# Basics Section 1: Introduction & Getting Started Unit 1: Introduction 00:03:00 Unit 2: Instructor's Introduction 00:03:00 Unit 3: Downloading and Installing Microsoft Visual Studio 00:04:00 Unit 4: Basics + Create Your First Project 00:07:00 Section 2: Basic Input/Output Console Applications Unit 1: Basic Input and Output Using Console Methods 00:10:00 Section 3: Coding Your First Project Unit 1: Coding Your First Project 00:09:00 Unit 2: String Arguments Explained 00:08:00 Section 4: Syntax Basics Unit 1: Syntax Basics 00:06:00 Section 5: Data Types Unit 1: Data Types 00:10:00 Unit 2: Type Conversion 00:08:00 Section 6: Operators Unit 1: Operators 00:14:00 Unit 2: Operators Example 00:08:00 Section 7: Practice Example Unit 1: Calculate My age App 00:08:00 Section 8: Decision Making Using If Statement Unit 1: If statement 00:05:00 Unit 2: If Else + Nested If 00:10:00 Section 9: Decision Making Using Switch Case Unit 1: Switch Case 00:10:00 Section 10: Loops Unit 1: While Loop + Do While 00:12:00 Unit 2: For Loop 00:07:00 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.

[vc_row][vc_column][vc_column_text] Description: With the world reaching higher level digitisation day by day, object-oriented (OO) programming is very much on the rise. One of the most highly used OO programming languages is Python. With this Python 3 for Beginners course, you will delve into the world of OO coding and fast-track your career in computer science. This Python 3 course is a guide on how to get started in learning Python, illustrating the benefits of learning Python 3 and how it can be utilised for data science. Web developers love Python because the syntax of the language is clean, and Python code length is relatively short. Working in Python allows you to analyse data rather than focus on the syntax and make the most of its user-friendly data structures.Master programming in Python and discover the fastest and most effective way to learn Python programming language, with this introductory online course. 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? Python 3 for Beginners 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 Python 3 for Beginners 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.[/vc_column_text][/vc_column][/vc_row] Module :01 Installing Python FREE 00:17:00 Documentation 00:30:00 Command Line 00:17:00 Variables 00:29:00 Simple Python Syntax 00:15:00 Keywords 00:18:00 Import Module 00:17:00 Additional Topics 00:23:00 Module :02 If Elif Else 00:31:00 Iterable 00:10:00 For 00:11:00 Loops 00:20:00 Execute 00:05:00 Exceptions 00:18:00 Data Types 00:24:00 Module :03 Number Types 00:28:00 More Number Types 00:13:00 Strings 00:20:00 More Strings 00:11:00 Files 00:08:00 Lists 00:15:00 Dictionaries 00:04:00 Tuples 00:07:00 Sets 00:09:00 Module :04 Comprehensions 00:10:00 Definitions 00:02:00 Functions 00:06:00 Default Arguments 00:06:00 Doc Strings 00:06:00 Variadic Functions 00:07:00 Factorial 00:07:00 Function Objects 00:07:00 Module :05 Lambda 00:11:00 Generators 00:06:00 Closures 00:10:00 Classes 00:09:00 Object Initialization 00:05:00 Class Static Members 00:07:00 Classic Inheritance 00:10:00 Data Hiding 00:07:00 Mock Exam Mock Exam- Python 3 for Beginners 00:20:00 Final Exam Final Exam- Python 3 for Beginners 00:20:00 Order Your Certificates and Transcripts Order Your Certificates and Transcripts 00:00:00

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