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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.
Welcome to GLA Tutors, a pioneering platform for primary school tutoring and SATs preparation. At GLA Tutors, we understand the importance of a strong foundation in primary school subjects and strive to provide comprehensive support to help children excel in their academic journey. Our team of expert tutors is well-versed in the English National Curriculum, which forms the basis of primary school education in the UK. We have carefully analysed the curriculum requirements to ensure that our tutoring services cover all key subjects and align with the learning objectives set by the curriculum. Our provision for tutoring all primary school subjects encompasses a wide range of subjects, including: 1. English: - Reading comprehension - Vocabulary development - Grammar and punctuation - Writing skills 2. Mathematics: - Number and place value - Addition, subtraction, multiplication, and division - Fractions, decimals, and percentages - Geometry and measurement 3. Science: - Investigating scientific phenomena - Understanding the natural world - Conducting experiments and making observations - Developing scientific thinking and inquiry skills 4. History: - Understanding historical events and timelines - Exploring significant figures and civilizations - Analysing primary and secondary sources - Developing historical knowledge and critical thinking skills 5. Geography: - Studying different landscapes and environments - Investigating human and physical geography - Exploring global issues and sustainability - Developing geographical skills and understanding At GLA Tutors, we understand that preparing children for SATs can be a challenging task. Our tutors are well-versed in the SATs format and content, and they provide targeted support to help children excel in their exams. We cover all areas of the SATs, including English (reading, grammar, and writing) and Mathematics, ensuring that children are well-prepared and confident on exam day. Our tutoring sessions are designed to be engaging and interactive, fostering a love for learning and encouraging children to reach their full potential. We use a variety of teaching techniques, including hands-on activities, visual aids, and interactive resources, to make learning enjoyable and effective. With GLA Tutors, you can be assured that your child will receive top-quality tutoring in all primary school subjects and be well-prepared for SATs. Our tutors are committed to providing personalised support, tailoring their teaching methods to meet the unique learning needs of each child. Join us and let us help your child thrive academically and achieve success in their primary school journey and SATs.
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
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Course overview Learn multivariable calculus with this Calculus 3 (Multivariable) Masterclass course. In this course, you will understand the complexities of multivariable calculus and solve various problems. The Calculus 3 (Multivariable) Masterclass course will go over the fundamental ideas about multivariable functions. It will introduce you to analytical geometry and explain where it's used. You will identify the distance formula to calculate distance between two points and learn how to calculate dot and cross products. In addition, you will learn about conic sections, topology, partial derivatives and vector-valued functions and use them to solve problems. Many practice problems with solutions are included in this course to improve your problem-solving abilities. Learning outcomes Learn about limit, continuity and differentiability Know how to graph a parabola using conic sections Understand what is a paraboloid in calculus Identify the differentiation rules and use them to solve problems Learn about different coordinate systems Be able to compute a composite function's derivative using chain rule Learn how to use Taylor's formula Who Is This Course For? Anyone interested in learning Calculus most efficiently can take this Calculus 3 (Multivariable) Masterclass course. The skills gained from this training will provide excellent opportunities for career advancement. Entry Requirement This course is available to all learners of all academic backgrounds. Learners should be aged 16 or over. Good understanding of English language, numeracy and ICT skills are required to take this course. Certification After you have successfully completed the course, you will obtain an Accredited Certificate of Achievement. And, you will also receive a Course Completion Certificate following the course completion without sitting for the test. Certificates can be obtained either in hardcopy for £39 or in PDF format at the cost of £24. PDF certificate's turnaround time is 24 hours, and for the hardcopy certificate, it is 3-9 working days. Why Choose Us? Affordable, engaging & high-quality e-learning study materials; Tutorial videos and materials from the industry-leading experts; Study in a user-friendly, advanced online learning platform; Efficient exam systems for the assessment and instant result; United Kingdom & internationally recognized accredited qualification; Access to course content on mobile, tablet and desktop from anywhere, anytime; Substantial career advancement opportunities; 24/7 student support via email. Career Path The Calculus 3 (Multivariable) Masterclass course provides essential skills that will make you more effective in your role. It would be beneficial for any related profession in the industry, such as: Math's Teacher
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
Overview This comprehensive course on Advanced Mathematics will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Advanced Mathematics 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 Advanced Mathematics. It is available to all students, of all academic backgrounds. Requirements Our Advanced Mathematics 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 8 sections • 30 lectures • 03:23:00 total length •Introduction: 00:01:00 •Introduction to Mathematical Logic, What is Sentence, Statements and their Types: 00:02:00 •Introduction to Logical Connectivity, Tautology, Contradiction, Contingency, Pattern: 00:06:00 •Quantitative and Quantified Statement and types and example: 00:03:00 •Dual: Replacing of Connections and Symbols: 00:02:00 •Negations of Compound Statement, Converse, Inverse, & Contrapositive: 00:03:00 •Algebra of Statements and Law: 00:05:00 •Real Life application of Logic to Switching Electric Circuit: 00:05:00 •Introduction to Matrices, Multiplication and Addition using Matrix: 00:06:00 •Inverse of Matrix Uniqueness of Inverse, Elementary Transformation: 00:09:00 •Method of REDUCTION AND INVERSION with real life example how we can implement: 00:17:00 •Introduction to Trigonometric Function: 00:03:00 •General Solutions and Theorem: 00:10:00 •Solution of Triangle: Polar Co-ordinates: 00:21:00 •Rules and Theorems of Sin Cosine and Tan: 00:22:00 •Introduction & Combined Equations: 00:07:00 •Degrees and Types: 00:13:00 •Some Theorem: 00:17:00 •Introduction - vector Cartesian theorem: 00:02:00 •Cartesian Equation & 2 Point Theorem: 00:03:00 •Theorems & Problem Solving: 00:05:00 •Distance of Point Line: 00:05:00 •Skew Lines: 00:01:00 •Distance of skew lines: 00:03:00 •Distance between parallel lines: 00:02:00 •Equation of Plane and Cartesian Form: 00:10:00 •Linear Programming Introduction: 00:08:00 •Introduction to LPP (Linear Programming Problem): 00:05:00 •LPP Problem Solving: 00:07:00 •Assignment - Advanced Mathematics: 00:00:00
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