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Description: Algebra is an area of mathematics that uses symbols to represent numbers in formulas and equations. Understanding these symbols and how they work together and provide structure to equations allows mathematicians to more efficiently write formulas and solve math problems.  This Algebra for Beginners is an introduction to the basic principles and skills of algebra. Topics include Variables, Grouping Symbols, Equations, Translating Words Into Symbols, and Translating Sentences Into Equations. With this course you will learn to manipulate and solve basic algebraic expressions, solve rational expressions, changing the subject of formulae and using formulae. You will learn to work with integers, decimals and fractions, how to evaluate powers and roots and how to solve single and multi-variable equations and inequalities. Learn how to apply algebra to a wide range of real-world problems and study critical algebraic concepts like functions, domains and ranges. 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? Algebra 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 Algebra 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. 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 00:05:00 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 Lecture 24 Solving complex linear equations in one variable 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 Mock Exam - Algebra for Beginners 00:20:00 Final Exam Final Exam - Algebra for Beginners 00:20:00 Certificate and Transcript Order Your Certificates and Transcripts 00:00:00

Elasticsearch and Elastic Stack are important tools for managing massive data. You need to know the problems it solves and how it works to design the best systems and be the most valuable engineer you can be. Explore Elasticsearch 8 and learn to manage operations on your Elastic Stack with this comprehensive course. This course covers it all, from installation to operations.

The Perfect your Algebra Fundamentals is a wonderful learning opportunity for anyone who has a passion for this topic and is interested in enjoying a long career in the relevant industry. It's also for anyone who is already working in this field and looking to brush up their knowledge and boost their career with a recognised certification. This Perfect your Algebra Fundamentals consists of several modules that take around 11 hours to complete. The course is accompanied by instructional videos, helpful illustrations, how-to instructions and advice. The course is offered online at a very affordable price. That gives you the ability to study at your own pace in the comfort of your home. You can access the modules from anywhere and from any device. Why choose this course Earn an e-certificate upon successful completion. Accessible, informative modules taught by expert instructors Study in your own time, at your own pace, through your computer tablet or mobile device Benefit from instant feedback through mock exams and multiple-choice assessments Get 24/7 help or advice from our email and live chat teams Full Tutor Support on Weekdays 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 Mock exams Multiple-choice assessment Certification Upon successful completion of the course, you will be able to obtain your course completion PDF Certificate at £9.99. Print copy by post is also available at an additional cost of £15.99 and the same for PDF and printed transcripts. Course Content 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 Lecture 24 Solving complex linear equations in one variable 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 Order your Certificates & Transcripts Order your Certificates & Transcripts 00:00:00 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.

Overview This comprehensive course on Algebra Fundamentals will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Algebra 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 Algebra Fundamentals. It is available to all students, of all academic backgrounds. Requirements Our Algebra 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 17 sections • 83 lectures • 11:02:00 total length •Lecture 1 Introduction: 00:03:00 •Lecture 2 What is Algebra: 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 •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 •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 •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 •Lecture 25 Rules of brackets: 00:04:00 •Lecture 26 Simplification by removing brackets: 00:11:00 •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 •Lecture 32 What are Identities?: 00:05:00 •Lecture 33 Identity ( a + b ) ²: 00:13:00 •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 •Lecture 41 -Changing the subject of formula: 00:08:00 •Lecture 42 - Linear Inequalities: 00:12:00 •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 •Lecture 49 -Simplification of algebraic fractions: 00:06:00 •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 •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 •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 •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 •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 Build Your Algebra Fundamentals is a wonderful learning opportunity for anyone who has a passion for this topic and is interested in enjoying a long career in the relevant industry. It's also for anyone who is already working in this field and looking to brush up their knowledge and boost their career with a recognised certification. This Build Your Algebra Fundamentals consists of several modules that take around 11 hours to complete. The course is accompanied by instructional videos, helpful illustrations, how-to instructions and advice. The course is offered online at a very affordable price. That gives you the ability to study at your own pace in the comfort of your home. You can access the modules from anywhere and from any device. Why choose this course Earn an e-certificate upon successful completion. Accessible, informative modules taught by expert instructors Study in your own time, at your own pace, through your computer tablet or mobile device Benefit from instant feedback through mock exams and multiple-choice assessments Get 24/7 help or advice from our email and live chat teams Full Tutor Support on Weekdays 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 Mock exams Multiple-choice assessment Certification Upon successful completion of the course, you will be able to obtain your course completion PDF Certificate at £9.99. Print copy by post is also available at an additional cost of £15.99 and the same for PDF and printed transcripts. Course Content Introduction Lecture 1 Introduction 00:03:00 Fundamental concepts on Algebraic Expressions Lecture 2 What is Algebra 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 Order your Certificates & Transcripts Order your Certificates & Transcripts 00:00:00 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.

Lean Six Sigma Black Belt Certification Program: In-House Training This course is specifically for people wanting to become Lean Six Sigma Black Belts, who are already Lean Six Sigma practitioners. If advanced statistical analysis is needed to identify root causes and optimal process improvements, (Lean) Six Sigma Green Belts typically ask Black Belts or Master Black Belts to conduct these analyses. This course will change that. Green Belts wanting to advance their statistical abilities will have a considerable amount of hands-on practice in techniques such as Statistical Process Control, MSA, Hypothesis Testing, Correlation and Regression, Design of Experiments, and many others. Participants will also work throughout the course on a real-world improvement project from their own business environment. This provides participants with hands-on learning and provides the organization with an immediate ROI once the project is completed. IIL instructors will provide free project coaching throughout the course. What you Will Learn At the end of this program, you will be able to: Use Minitab for advanced data analysis Develop appropriate sampling strategies Analyze differences between samples using Hypothesis Tests Apply Statistical Process Control to differentiate common cause and special cause variation Explain and apply various process capability metrics Conduct Measurement System Analysis and Gage R&R studies for both discrete and continuous data Conduct and analyze simple and multiple regression analysis Plan, execute, and analyze designed experiments Drive sustainable change efforts through leadership, change management, and stakeholder management Successfully incorporate advanced analysis techniques while moving projects through the DMAIC steps Explain the main concepts of Design for Six Sigma including QFD Introduction: DMAIC Review IIL Black Belt Certification Requirements Review Project Selection Review Define Review Measure Review Analyze Review Improve Review Control Introduction: Minitab Tool Introduction to Minitab Minitab basic statistics and graphs Special features Overview of Minitab menus Introduction: Sampling The Central Limit Theorem Confidence Interval of the mean Sample size for continuous data (mean) Confidence Interval for proportions Sample size for discrete data (proportions) Sampling strategies (review) Appendix: CI and sample size for confidence levels other than 95% Hypothesis Testing: Introduction Why use advanced stat tools? What are hypothesis tests? The seven steps of hypothesis tests P value errors and hypothesis tests Hypothesis Testing: Tests for Averages 1 factor ANOVA and ANOM Main Effect Plots, Interaction Plots, and Multi-Vari Charts 2 factor ANOVA and ANOM Hypothesis Testing: Tests for Standard Deviations Testing for equal variance Testing for normality Choosing the right hypothesis test Hypothesis Testing: Chi Square and Other Hypothesis Test Chi-square test for 1 factor ANOM test for 1 factor Chi-square test for 2 factors Exercise hypothesis tests - shipping Non-parametric tests Analysis: Advanced Control Charts Review of Common Cause and Special Cause Variation Review of the Individuals Control Charts How to calculate Control Limits Four additional tests for Special Causes Control Limits after Process Change Discrete Data Control Charts Control Charts for Discrete Proportion Data Control Charts for Discrete Count Data Control Charts for High Volume Processes with Continuous Data Analysis: Non-Normal Data Test for normal distribution Box-Cox Transformation Box-Cox Transformation for Individuals Control Charts Analysis: Time Series Analysis Introduction to Time Series Analysis Decomposition Smoothing: Moving Average Smoothing: EWMA Analysis: Process Capability Process capability Discrete Data: Defect metrics Discrete Data: Yield metrics Process Capability for Continuous Data: Sigma Value Short- and long-term capabilities Cp, Cpk, Pp, Ppk capability indices Analysis: Measurement System Analysis What is Measurement System Analysis? What defines a good measurement system? Gage R&R Studies Attribute / Discrete Gage R&R Continuous Gage R&R Regression Analysis: Simple Correlation Correlation Coefficient Simple linear regression Checking the fit of the Regression Model Leverage and influence analysis Correlation and regression pitfalls Regression Analysis: Multiple Regression Analysis Introduction to Multiple Regression Multicollinearity Multiple Regression vs. Simple Linear Regression Regression Analysis: Multiple Regression Analysis with Discrete Xs Introduction Creating indicator variables Method 1: Going straight to the intercepts Method 2: Testing for differences in intercepts Logistic Regression: Logistic Regression Introduction to Logistic Regression Logistic Regression - Adding a Discrete X Design of Experiments: Introduction Design of Experiment OFAT experimentation Full factorial design Fractional factorial design DOE road map, hints, and suggestions Design of Experiments: Full Factorial Designs Creating 2k Full Factorial designs in Minitab Randomization Replicates and repetitions Analysis of results: Factorial plots Analysis of results: Factorial design Analysis of results: Fits and Residuals Analysis of results: Response Optimizer Analysis of results: Review Design of Experiments: Pragmatic Approaches Designs with no replication Fractional factorial designs Screening Design of Experiment Case Study Repair Time Blocking Closing: Organizational Change Management Organizational change management Assuring project sponsorship Emphasizing shared need for change Mobilizing stakeholder commitment Closing: Project Management for Lean Six Sigma Introduction to project management Project management for Lean Six Sigma The project baseline plan Work Breakdown Structure (WBS) Resource planning Project budget Project risk Project schedule Project executing Project monitoring and controlling and Closing Closing: Design for Lean Six Sigma Introduction to Design for Lean Six Sigma (DMADV) Introduction to Quality Function Deployment (QFD) Summary and Next Steps IIL's Lean Six Sigma Black Belt Certification Program also prepares you to pass the IASSC Certified Black Belt Exam (optional)

Lean Six Sigma Black Belt Certification Program This course is specifically for people wanting to become Lean Six Sigma Black Belts, who are already Lean Six Sigma practitioners. If advanced statistical analysis is needed to identify root causes and optimal process improvements, (Lean) Six Sigma Green Belts typically ask Black Belts or Master Black Belts to conduct these analyses. This course will change that. Green Belts wanting to advance their statistical abilities will have a considerable amount of hands-on practice in techniques such as Statistical Process Control, MSA, Hypothesis Testing, Correlation and Regression, Design of Experiments, and many others. Participants will also work throughout the course on a real-world improvement project from their own business environment. This provides participants with hands-on learning and provides the organization with an immediate ROI once the project is completed. IIL instructors will provide free project coaching throughout the course. What you Will Learn At the end of this program, you will be able to: Use Minitab for advanced data analysis Develop appropriate sampling strategies Analyze differences between samples using Hypothesis Tests Apply Statistical Process Control to differentiate common cause and special cause variation Explain and apply various process capability metrics Conduct Measurement System Analysis and Gage R&R studies for both discrete and continuous data Conduct and analyze simple and multiple regression analysis Plan, execute, and analyze designed experiments Drive sustainable change efforts through leadership, change management, and stakeholder management Successfully incorporate advanced analysis techniques while moving projects through the DMAIC steps Explain the main concepts of Design for Six Sigma including QFD Introduction: DMAIC Review IIL Black Belt Certification Requirements Review Project Selection Review Define Review Measure Review Analyze Review Improve Review Control Introduction: Minitab Tool Introduction to Minitab Minitab basic statistics and graphs Special features Overview of Minitab menus Introduction: Sampling The Central Limit Theorem Confidence Interval of the mean Sample size for continuous data (mean) Confidence Interval for proportions Sample size for discrete data (proportions) Sampling strategies (review) Appendix: CI and sample size for confidence levels other than 95% Hypothesis Testing: Introduction Why use advanced stat tools? What are hypothesis tests? The seven steps of hypothesis tests P value errors and hypothesis tests Hypothesis Testing: Tests for Averages 1 factor ANOVA and ANOM Main Effect Plots, Interaction Plots, and Multi-Vari Charts 2 factor ANOVA and ANOM Hypothesis Testing: Tests for Standard Deviations Testing for equal variance Testing for normality Choosing the right hypothesis test Hypothesis Testing: Chi Square and Other Hypothesis Test Chi-square test for 1 factor ANOM test for 1 factor Chi-square test for 2 factors Exercise hypothesis tests - shipping Non-parametric tests Analysis: Advanced Control Charts Review of Common Cause and Special Cause Variation Review of the Individuals Control Charts How to calculate Control Limits Four additional tests for Special Causes Control Limits after Process Change Discrete Data Control Charts Control Charts for Discrete Proportion Data Control Charts for Discrete Count Data Control Charts for High Volume Processes with Continuous Data Analysis: Non-Normal Data Test for normal distribution Box-Cox Transformation Box-Cox Transformation for Individuals Control Charts Analysis: Time Series Analysis Introduction to Time Series Analysis Decomposition Smoothing: Moving Average Smoothing: EWMA Analysis: Process Capability Process capability Discrete Data: Defect metrics Discrete Data: Yield metrics Process Capability for Continuous Data: Sigma Value Short- and long-term capabilities Cp, Cpk, Pp, Ppk capability indices Analysis: Measurement System Analysis What is Measurement System Analysis? What defines a good measurement system? Gage R&R Studies Attribute / Discrete Gage R&R Continuous Gage R&R Regression Analysis: Simple Correlation Correlation Coefficient Simple linear regression Checking the fit of the Regression Model Leverage and influence analysis Correlation and regression pitfalls Regression Analysis: Multiple Regression Analysis Introduction to Multiple Regression Multicollinearity Multiple Regression vs. Simple Linear Regression Regression Analysis: Multiple Regression Analysis with Discrete Xs Introduction Creating indicator variables Method 1: Going straight to the intercepts Method 2: Testing for differences in intercepts Logistic Regression: Logistic Regression Introduction to Logistic Regression Logistic Regression - Adding a Discrete X Design of Experiments: Introduction Design of Experiment OFAT experimentation Full factorial design Fractional factorial design DOE road map, hints, and suggestions Design of Experiments: Full Factorial Designs Creating 2k Full Factorial designs in Minitab Randomization Replicates and repetitions Analysis of results: Factorial plots Analysis of results: Factorial design Analysis of results: Fits and Residuals Analysis of results: Response Optimizer Analysis of results: Review Design of Experiments: Pragmatic Approaches Designs with no replication Fractional factorial designs Screening Design of Experiment Case Study Repair Time Blocking Closing: Organizational Change Management Organizational change management Assuring project sponsorship Emphasizing shared need for change Mobilizing stakeholder commitment Closing: Project Management for Lean Six Sigma Introduction to project management Project management for Lean Six Sigma The project baseline plan Work Breakdown Structure (WBS) Resource planning Project budget Project risk Project schedule Project executing Project monitoring and controlling and Closing Closing: Design for Lean Six Sigma Introduction to Design for Lean Six Sigma (DMADV) Introduction to Quality Function Deployment (QFD) Summary and Next Steps IIL's Lean Six Sigma Black Belt Certification Program also prepares you to pass the IASSC Certified Black Belt Exam (optional)

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

Lean Six Sigma Black Belt Certification Program: Virtual In-House Training This course is specifically for people wanting to become Lean Six Sigma Black Belts, who are already Lean Six Sigma practitioners. If advanced statistical analysis is needed to identify root causes and optimal process improvements, (Lean) Six Sigma Green Belts typically ask Black Belts or Master Black Belts to conduct these analyses. This course will change that. Green Belts wanting to advance their statistical abilities will have a considerable amount of hands-on practice in techniques such as Statistical Process Control, MSA, Hypothesis Testing, Correlation and Regression, Design of Experiments, and many others. Participants will also work throughout the course on a real-world improvement project from their own business environment. This provides participants with hands-on learning and provides the organization with an immediate ROI once the project is completed. IIL instructors will provide free project coaching throughout the course. What you Will Learn At the end of this program, you will be able to: Use Minitab for advanced data analysis Develop appropriate sampling strategies Analyze differences between samples using Hypothesis Tests Apply Statistical Process Control to differentiate common cause and special cause variation Explain and apply various process capability metrics Conduct Measurement System Analysis and Gage R&R studies for both discrete and continuous data Conduct and analyze simple and multiple regression analysis Plan, execute, and analyze designed experiments Drive sustainable change efforts through leadership, change management, and stakeholder management Successfully incorporate advanced analysis techniques while moving projects through the DMAIC steps Explain the main concepts of Design for Six Sigma including QFD Introduction: DMAIC Review IIL Black Belt Certification Requirements Review Project Selection Review Define Review Measure Review Analyze Review Improve Review Control Introduction: Minitab Tool Introduction to Minitab Minitab basic statistics and graphs Special features Overview of Minitab menus Introduction: Sampling The Central Limit Theorem Confidence Interval of the mean Sample size for continuous data (mean) Confidence Interval for proportions Sample size for discrete data (proportions) Sampling strategies (review) Appendix: CI and sample size for confidence levels other than 95% Hypothesis Testing: Introduction Why use advanced stat tools? What are hypothesis tests? The seven steps of hypothesis tests P value errors and hypothesis tests Hypothesis Testing: Tests for Averages 1 factor ANOVA and ANOM Main Effect Plots, Interaction Plots, and Multi-Vari Charts 2 factor ANOVA and ANOM Hypothesis Testing: Tests for Standard Deviations Testing for equal variance Testing for normality Choosing the right hypothesis test Hypothesis Testing: Chi Square and Other Hypothesis Test Chi-square test for 1 factor ANOM test for 1 factor Chi-square test for 2 factors Exercise hypothesis tests - shipping Non-parametric tests Analysis: Advanced Control Charts Review of Common Cause and Special Cause Variation Review of the Individuals Control Charts How to calculate Control Limits Four additional tests for Special Causes Control Limits after Process Change Discrete Data Control Charts Control Charts for Discrete Proportion Data Control Charts for Discrete Count Data Control Charts for High Volume Processes with Continuous Data Analysis: Non-Normal Data Test for normal distribution Box-Cox Transformation Box-Cox Transformation for Individuals Control Charts Analysis: Time Series Analysis Introduction to Time Series Analysis Decomposition Smoothing: Moving Average Smoothing: EWMA Analysis: Process Capability Process capability Discrete Data: Defect metrics Discrete Data: Yield metrics Process Capability for Continuous Data: Sigma Value Short- and long-term capabilities Cp, Cpk, Pp, Ppk capability indices Analysis: Measurement System Analysis What is Measurement System Analysis? What defines a good measurement system? Gage R&R Studies Attribute / Discrete Gage R&R Continuous Gage R&R Regression Analysis: Simple Correlation Correlation Coefficient Simple linear regression Checking the fit of the Regression Model Leverage and influence analysis Correlation and regression pitfalls Regression Analysis: Multiple Regression Analysis Introduction to Multiple Regression Multicollinearity Multiple Regression vs. Simple Linear Regression Regression Analysis: Multiple Regression Analysis with Discrete Xs Introduction Creating indicator variables Method 1: Going straight to the intercepts Method 2: Testing for differences in intercepts Logistic Regression: Logistic Regression Introduction to Logistic Regression Logistic Regression - Adding a Discrete X Design of Experiments: Introduction Design of Experiment OFAT experimentation Full factorial design Fractional factorial design DOE road map, hints, and suggestions Design of Experiments: Full Factorial Designs Creating 2k Full Factorial designs in Minitab Randomization Replicates and repetitions Analysis of results: Factorial plots Analysis of results: Factorial design Analysis of results: Fits and Residuals Analysis of results: Response Optimizer Analysis of results: Review Design of Experiments: Pragmatic Approaches Designs with no replication Fractional factorial designs Screening Design of Experiment Case Study Repair Time Blocking Closing: Organizational Change Management Organizational change management Assuring project sponsorship Emphasizing shared need for change Mobilizing stakeholder commitment Closing: Project Management for Lean Six Sigma Introduction to project management Project management for Lean Six Sigma The project baseline plan Work Breakdown Structure (WBS) Resource planning Project budget Project risk Project schedule Project executing Project monitoring and controlling and Closing Closing: Design for Lean Six Sigma Introduction to Design for Lean Six Sigma (DMADV) Introduction to Quality Function Deployment (QFD) Summary and Next Steps IIL's Lean Six Sigma Black Belt Certification Program also prepares you to pass the IASSC Certified Black Belt Exam (optional)

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