Number Theory Basics is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Number Theory Basics and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills. Consisting of several modules, the course teaches you everything you need to succeed in this profession. The course can be studied part-time. You can become accredited within 9 hours studying at your own pace. Your qualification will be recognised and can be checked for validity on our dedicated website. Why Choose Teachers Training Some of our website features are: This is a dedicated website for teaching 24/7 tutor support Interactive Content Affordable price Courses accredited by the UK's top awarding bodies 100% online Flexible deadline Entry Requirements No formal entry requirements. You need to have: Passion for learning A good understanding of the English language Be motivated and hard-working Over the age of 16. Certification CPD Certification from The Teachers Training Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. You can get your digital certificate (PDF) for £4.99 only Hard copy certificates are also available, and you can get one for only £10.99 You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Introduction What is Number Theory 00:08:00 Basics of Number Theory Number Theory 00:07:00 Number Sets 00:09:00 Number Patterns 00:10:00 Even & Odd Numbers 00:11:00 Number Properties 00:10:00 Proofs 00:11:00 Number Bases Number Bases 00:12:00 Binary Base 00:12:00 Binary Arithmetics 00:15:00 Hexadecimal Base 00:13:00 Hexadecimal Arithmetics 00:14:00 Factorials Factorial 00:05:00 Double Factorial 00:09:00 Super Factorial 00:03:00 Exponential Factorial 00:03:00 Factorion 00:05:00 Stirling's Formula 00:03:00 Number of Digits 00:03:00 Divisibility Divisibility 00:07:00 Divisibility Rules 00:04:00 Euclidean Division Theorem 00:08:00 GCD & LCM 00:11:00 Bézout's Identity 00:08:00 Perfect Numbers 00:04:00 Practical Numbers 00:05:00 Amicable Numbers 00:04:00 Fibonacci Sequence 00:09:00 Tribonacci Sequence 00:05:00 Golden Ratio 00:11:00 Primes Prime Numbers 00:09:00 Fundamental Theorem of Arithmetics (FTA) 00:10:00 Almost Primes 00:07:00 Prime Powers 00:02:00 Factorial Prime 00:03:00 Euclid's Theorems 00:09:00 The Prime Number Theorem 00:04:00 Unsolved Problems 00:06:00 Number Empire 00:07:00 Modular Arithmetic Modular Arithmetics 00:09:00 Congruence 00:13:00 Congruence Class 00:12:00 Residue Systems 00:04:00 Quadratic Residues 00:04:00 Modular Operations 00:06:00 Inverses 00:07:00 Modular Exponentiation 00:10:00 Wilson's Theorem 00:05:00 Chinese Remainder Theorem 00:09:00 Fermat's Little Theorem 00:05:00 Euler's Totient Function 00:07:00 Euler-Fermat Theorem 00:04:00 Continued Fractions Continued Fractions 00:08:00 Negative Continued Fractions 00:11:00 Finite Continued Fractions 00:14:00 Infinite Continued Fractions 00:17:00 Periodic Continued Fractions 00:10:00 Convergent 00:12:00 Cryptography Cryptography 00:09:00 Early Ciphers 00:11:00 Public Key Cryptography 00:13:00 RSA Encryption 00:11:00 Diffie-Hellman Protocol 00:04:00 Resources Resource - An Introduction to Number Theory 00:05:00
Description Math is one of the most essential skills in all aspects of our lives. However, it can be one of the most difficult for many of us to master. Learning math can be a daunting task when you do not have the right tools or the right materials, especially if you grew up believing that math is hard and that you will never understand it. The Mathematics for Beginners is designed to teach the elementary skills necessary to manipulate algebraic expressions and equations, and also places a strong emphasis on conceptual understanding. You will learn the connection between everyday life problems and the abstract world of mathematics. Using applied examples from a wide variety of topics ranging from finance to physics and life sciences, you will gain the ability to transform problems from a verbal description into the language of mathematics and solve them confidently by applying the rules of algebra. 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? Mathematics 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 Mathematics 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. Integers ( Directed Numbers) Lecture 1 Introduction 00:02:00 Lecture 2 Quick glance at number system 00:05:00 Lecture 3 Integers and ordering of integers 00:06:00 Lecture 4 Addition and Subtractions of Integers 00:07:00 Lecture 5 Operations on Integers 00:04:00 Lecture 6 Multiplication and Division of Integers 00:04:00 Lecture 7 Powers of Integers (Exponents) 00:04:00 Factors and Multiples Lecture 8 Complete knowledge about factors and multiples 00:06:00 Lecture 9 Divisibility tests for 2,3,4,5,6 00:07:00 Lecture 10 Divisibility rules 7,8,9,10,11 00:06:00 Lecture 11 Prime Factorization 00:06:00 Lecture 12 Highest Common Factor HCF 00:10:00 Lecture 13 Least Common Multiple LCM 00:16:00 Lecture 14 Relation between LCM and HCF 00:04:00 Fractions Lecture 15 Classification of Fractions 00:04:00 Lecture 16 Convert mixed to improper and improper to mixed fractions 00:03:00 Lecture 17 Equivalent Fractions 00:04:00 Lecture 18 Comparing Fractions after converting to like fractions 00:09:00 Lecture 19 Reducing a fraction to lowest term 00:04:00 Lecture 20 Addition and subtraction OF fractions 00:08:00 Lecture 21 Multiplication and division of fractions 00:11:00 Lecture 22 Word problems on fractions 00:16:00 Simplification Rule : BODMAS Lecture 23 BODMAS and rules to remove brackets 00:03:00 Lecture 24 Simplify expressions using BODMAS rules 00:05:00 Lecture 25 Simplify expressions involving fractions using BODMAS 00:07:00 Decimal numbers Lecture 26 Decimal numbers in relation to fractions 00:08:00 Lecture 27 Like and unlike Decimals 00:05:00 Lecture 28 Ordering of Decimal numbers 00:10:00 Lecture 29 Addition and subtraction of Decimal 00:07:00 Lecture 30 Multiplication of Decimal 00:03:00 Lecture 31 Division of Decimal 00:05:00 Rational Numbers Lecture 32 Rational number 00:02:00 Lecture 33 Representation of Rational Numbers on Number line 00:04:00 Lecture 34 Determining which fraction is terminating or non terminating 00:05:00 Lecture 35 shortcut method of writing decimal expansion of fraction to decimal 00:08:00 Approximation Lecture 36 Rounding to whole number 00:06:00 Lecture 37 Rounding to required number of decimals (1 d.p. ) 00:05:00 Lecture 38 rounding to significant digits 00:07:00 Lecture 39 Practice question on three methods of approximation 00:05:00 Estimation and Scientific Notation or Standard form Lecture 40 Estimation 00:05:00 Lecture 41 Scientific Notation 00:07:00 Lecture 42 Operation on numbers when they are in scientific notation 00:06:00 Percentage Lecture 43 Percentage to fraction and fraction to percentage 00:06:00 Lecture 44 Percentage of a quantity and conversation to decimal 00:06:00 Lecture 45 Expressing one quantity as percentage of another quantity 00:06:00 Lecture 46 Finding increase decrease percent 00:05:00 Lecture 47 Uses of percentages-Word Problems 00:09:00 Ratio and Proportion Lecture 48 Ratio- How to express as simple ratio 00:09:00 Lecture 49 How to compare Ratios 00:04:00 Lecture 50 Word problems on finding ratios 00:07:00 Lecture 51To divide a given quantity into a given Ratio 00:11:00 Lecture 52 Proportion 00:04:00 Lecture 53 Practice problems on Proportion 00:06:00 Lecture 54 Continued proportion 00:06:00 Unitary Method and its Applications Lecture 55 Direct Variation ( or proportion) 00:04:00 Lecture 56 Problems based on Direct proportion 00:10:00 Lecture 57 Inverse Variation ( or proportion) 00:10:00 Lecture 58 Multiple Ratios 00:10:00 Profit , Loss, discount and Tax Lecture 59 Basics - Profit and Loss 00:04:00 Lecture 60 More practice problems on Profit & Loss 00:06:00 Lecture 61 Selling price formula and Problems 00:04:00 Lecture 62 Cost price formula and Problems 00:03:00 Lecture 63 Higher problems on Profit and Loss 00:08:00 Lecture 64 Basics - Discount.mp4 00:05:00 Lecture 65 Practice problems on Discount 00:04:00 Lecture 66 Tax 00:06:00 Resources Resources - Mathematics for Beginners 00:00:00 Mock Exam Mock Exam - Mathematics for Beginners 00:20:00 Final Exam Final Exam - Mathematics for Beginners 00:20:00 Order Your Certificates and Transcripts Order Your Certificates and Transcripts 00:00:00
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
Course Overview Take your Excel skills to the next level with the help of the Need to Know Advanced Excel Formulas and Functions course. In this course, the expert instructor will show you how to optimize the use of excel. You will learn a handful of useful functions and formulas that will increase your proficiency in excel. The Need to Know Advanced Excel Formulas and Functions course aims to increase your competence in excel. The course will teach you the fundamental math functions. You will understand the concept of relative reference and absolute reference. The course will educate you on Autosum. You will receive lectures on how to link sheets and workbooks. The course will enrich your understanding of vlookup and hlookup functions. You will become skilled in training functions. From this course, you will achieve the essential training to upgrade your MS excel skills in no time. This Need to Know Advanced Excel Formulas, and Functions course will help you build excellent expertise in excel. Enroll in the course to boost your abilities and your employability in the relevant job market. Learning Outcomes Understand how to build basic math formulas Enrich your understanding of Autosum and relative references Learn how to link sheets and workbooks Gain the skills for tracking functions Deepen your knowledge of Vlookup and Hlookup functions Build your skills to work with text functions Who is this course for? Those who want to upgrade their excel skills Entry Requirement This course is available to all learners, of all academic backgrounds. Learners should be aged 16 or over to undertake the qualification. Good understanding of English language, numeracy and ICT are required to attend this course. Certification After you have successfully completed the course, you will be able to obtain an Accredited Certificate of Achievement. You can however also obtain a Course Completion Certificate following the course completion without sitting for the test. Certificates can be obtained either in hardcopy at the cost of £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/materials from the industry-leading experts; Study in a user-friendly, advanced online learning platform; Efficient exam systems for the assessment and instant result; The UK & internationally recognized accredited qualification; Access to course content on mobile, tablet or desktop from anywhere anytime; The benefit of career advancement opportunities; 24/7 student support via email. Career Path The Need to Know Advanced Excel Formulas and Functions course is a useful qualification to possess and would be beneficial for any related profession or industry such as: Business Professional Administrative Officer Need to Know Advanced Excel Formulas and Functions Building basic math formulas 00:08:00 Autosum and Relative references 00:09:00 Absolute references 00:06:00 Named Ranges 00:06:00 Linking sheets and workbooks 00:06:00 If, And, Or, and the nested If functions 00:16:00 Countif, Sumif, Averageif, Sumifs, and Countifs functions 00:09:00 Vlookup and Hlookup functions 00:15:00 Match and Index functions 00:07:00 Date and time formulas and functions 00:12:00 Text functions 00:11:00 Tracing formulas 00:08:00 Certificate and Transcript Order Your Certificates and Transcripts 00:00:00
Overview This comprehensive course on Speed Up Your Calculation with Mental Mathematics will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Speed Up Your Calculation with Mental 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 Speed Up Your Calculation with Mental Mathematics. It is available to all students, of all academic backgrounds. Requirements Our Speed Up Your Calculation with Mental 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 19 sections • 74 lectures • 09:08:00 total length •Introduction: 00:02:00 •Important Instructions: 00:01:00 •Multiplication by 11,22,33 Part 1: 00:05:00 •Multiplication by 11,22,33 Part 2: 00:07:00 •Multiplying with 12,13,14,15 etc. Part 3: 00:08:00 •Multiplying with 12,13,14,15 etc. Part 4: 00:06:00 •Downloadable Resources: 00:00:00 •Finding squares of numbers ending with 5: 00:05:00 •When numbers add up to ten in unit place and ten's place digits are same: 00:06:00 •Downloadable Resources: 00:00:00 •Product of two numbers below the base: 00:11:00 •Product of two numbers one above and other below the base: 00:10:00 •Squaring of numbers near to the base: 00:10:00 •Multiples and Sub-Multiples Technique Part 1: 00:15:00 •Multiples and Sub-Multiples Technique Part 2: 00:08:00 •Multiples and Sub-Multiples Technique Part 3: 00:07:00 •Multiplication of three numbers near to base: 00:07:00 •Multiplication of three numbers near to base - Special Case: 00:08:00 •Multiplying any digit number by series of 9; 99; 999; 99999 Part 1: 00:10:00 •Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 2: 00:09:00 •Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 3: 00:06:00 •Downloadable Resources: 00:00:00 •Multiplying any two digit numbers using Vertically and Crosswise: 00:06:00 •Multiplying three digit numbers using Vertically and Crosswise: 00:07:00 •Multiplying four digit numbers using Vertically and Crosswise: 00:07:00 •Multiplying different digit numbers using Vertically and Crosswise: 00:06:00 •Finding remainder when any digit number is divided by 9: 00:06:00 •Multiplying any digit number by 5, 25, and 125 faster than calculator: 00:09:00 •Downloadable Resources: 00:00:00 •Times Tables Part 1: 00:10:00 •Times Tables Part 2: 00:10:00 •Times Tables Part 3: 00:12:00 •Downloadable Resources: 00:00:00 •Simple Mental Addition: 00:09:00 •Left to Right Addition Part 1: 00:12:00 •Left to Right Addition Part 2: 00:05:00 •Left to Right Addition Part 3: 00:13:00 •Downloadable Resources: 00:00:00 •Addition by Dropping ten's method single digit numbers: 00:07:00 •Addition by Dropping ten's method two-digit numbers: 00:04:00 •Addition by Dropping ten's method three-digit numbers: 00:07:00 •Addition by grouping to ten's method single digit numbers: 00:04:00 •Addition by grouping to ten's method two-digit numbers: 00:06:00 •Addition by grouping to ten's method three-digit numbers: 00:03:00 •Simple Mental Subtraction: 00:05:00 •Left to Right Subtraction Part 1: 00:09:00 •Left to Right Subtraction Part 2: 00:10:00 •Left to Right Subtraction Part 3: 00:10:00 •Left to Right Subtraction Using Nikhilam Sutra: 00:09:00 •Downloadable Resources: 00:00:00 •Division by 9 in 2 seconds: 00:05:00 •Division by 9 continues: 00:06:00 •Division by Nikhiliam Sutra in single line in 2 seconds: 00:14:00 •Division by Nikhiliam Sutra for non-terminating recurring decimals: 00:06:00 •Straight Division by Vedic Math: 00:09:00 •Division by two-digit number: 00:07:00 •Division by three-digit number: 00:07:00 •Division - when answers are in decimals: 00:12:00 •Division by three or four-digit numbers: 00:09:00 •Straight Division - Two special problems: 00:08:00 •What is digital sum of a number?: 00:07:00 •Application of digital sum in addition & subtraction: 00:12:00 •Application of digital sum in multiplication: 00:06:00 •Application of digital sum in Division: 00:08:00 •Duplex of any Digit Number: 00:07:00 •Straight Squaring using Duplex Method Part 1: 00:12:00 •Straight Squaring using Duplex Method Part 2: 00:12:00 •Square Root Using Duplex Method Part 1: 00:15:00 •Square Root Using Duplex Method Part 2: 00:11:00 •Square Root Using Duplex Method Part 3: 00:10:00 •Finding cubes of two Digit Numbers: 00:12:00 •Cube roots Using Fastest Techniques: 00:08:00 •How to find Day of the week in 2 Seconds Part 1: 00:09:00 •How to find Day of the week in 2 Seconds Part 2: 00:09:00
Overview This comprehensive course on GCSE Maths Preparation will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This GCSE Maths Preparation comes with accredited certification, 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 GCSE Maths Preparation. It is available to all students, of all academic backgrounds. Requirements Our GCSE Maths Preparation 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 1 sections • 13 lectures • 02:00:00 total length •Module 1: Numbers and Negative Numbers: 00:07:00 •Module 2: Multiples Factors: 00:06:00 •Module 3: Fractions and Power: 00:16:00 •Module 4: Percentages: 00:08:00 •Module 5: Expressions: 00:09:00 •Module 6: Decimals: 00:08:00 •Module 7: Ratio and Proportion: 00:10:00 •Module 8: Exponents and Radicals: 00:11:00 •Module 9: Graphs: 00:11:00 •Module 10: The Profit and Loss: 00:07:00 •Module 11: Perimeter and Area: 00:10:00 •Module 12: Averages: 00:09:00 •Module 13: Probability: 00:08:00
Overview This comprehensive course on Mathematics Fundamentals will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Mathematics Fundamentals comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Mathematics Fundamentals. It is available to all students, of all academic backgrounds. Requirements Our Mathematics Fundamentals is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 12 sections • 67 lectures • 07:38:00 total length •Introduction: 00:02:00 •Number system: 00:09:00 •Integers and ordering of integers: 00:07:00 •Addition and Subtractions of Integers: 00:09:00 •Operations on Integers: 00:06:00 •Multiplication and Division of Integers: 00:07:00 •Powers of Integers (Exponents): 00:04:00 •Complete knowledge about factors and multiples: 00:07:00 •Divisibility tests for 2,3,4,5,6: 00:07:00 •Divisibility rules 7,8,9,10,11: 00:11:00 •Prime Factorization: 00:13:00 •Highest common factor HCF: 00:13:00 •Word problems based on HCF A: 00:12:00 •Least common multiple LCM: 00:16:00 •Relation between lcm and HCF A: 00:04:00 •Classification of Fractions: 00:04:00 •Convert mixed to improper and improper to mixed fractions: 00:03:00 •Equivalent Fractions: 00:04:00 •Comparing Fractions after converting to like fractions: 00:09:00 •Reducing a fraction to lowest term: 00:04:00 •Addition and subtraction OF fractions: 00:08:00 •Multiplication and division of fractions: 00:11:00 •Word problems on fractions: 00:16:00 •Bodmas and rules to remove brackets: 00:03:00 •Simplify expressions using BODMAS rules: 00:05:00 •Simplify expressions involving fractions using BODMAS: 00:07:00 •Decimal numbers in relation to fractions: 00:08:00 •Like and unlike Decimals: 00:05:00 •Ordering of Decimal numbers: 00:10:00 •Addition and subtraction of Decimal: 00:07:00 •Multiplication of Decimal: 00:03:00 •Division of Decimal: 00:08:00 •Rational number: 00:02:00 •Representation of Rational Numbers on Number line: 00:05:00 •Determining which fraction is terminating or non-terminating: 00:07:00 •Shortcut method of writing decimal expansion of fraction to decimal A: 00:08:00 •Rounding to whole number: 00:06:00 •Rounding to required number of decimals (1 d.p.): 00:05:00 •Rounding to significant digits: 00:07:00 •Practice question on three methods of approximation: 00:05:00 •Estimation: 00:05:00 •Scientific Notation: 00:07:00 •Operation on numbers when they are in scientific notation: 00:06:00 •Percentage to fraction and fraction to percentage: 00:06:00 •Percentage of a quantity and conversation to decimal: 00:06:00 •Expressing one quantity as percentage of another quantity: 00:06:00 •Finding increase decrease percent: 00:05:00 •Uses of Percentages-Word Problems A: 00:09:00 •Ratio- How to express as simple ratio: 00:09:00 •How to compare Ratios: 00:04:00 •Word problems on finding ratios: 00:07:00 •To divide a given quantity into a given Ratio: 00:11:00 •Proportion: 00:04:00 •Practice problems on Proportion: 00:06:00 •Continued proportion: 00:06:00 •Direct Variation (or proportion): 00:04:00 •Problems based on Direct proportion: 00:10:00 •Inverse Variation (or proportion): 00:10:00 •Multiple Ratios: 00:10:00 •Basics - Profit and Loss: 00:04:00 •More practice problems on Profit _ Loss: 00:06:00 •Selling price formula and Problems: 00:04:00 •Cost price formula and Problems: 00:03:00 •Higher problems on Profit and Loss: 00:08:00 •Basics - Discount: 00:05:00 •Practice problems on Discount: 00:04:00 •Tax: 00:06:00
Overview Help others overcome their fear of mathematics and teach students how to reach their career potentials with numerology. This unique course will train you to become an accomplished mathematical teacher and advance the knowledge of pupils in this area. The Functional Skills Maths course is packed with information regarding Functional Maths and uses varied educational methods to embed the knowledge. You will find that you will quickly attain the ability to teach Maths in a lively and personal way, giving you a genuine advantage in the UK education system. From integers to fractions, and percentages, enrol now and learn to make maths easy. 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 Functional Skills Maths. It is available to all students, of all academic backgrounds. Requirements Our Functional Skills Maths is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible on tablets and smartphones so you can access your course on wifi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Having these various qualifications will increase the value in your CV and open you up to multiple sectors such as Business & Management, Admin, Accountancy & Finance, Secretarial & PA, Teaching & Mentoring etc. Course Curriculum 13 sections • 67 lectures • 06:56:00 total length •Lecture 1 Introduction: 00:02:00 •Lecture 2 Multiplying any digit number by 11, 22, and 33: 00:09:00 •Lecture 3 Integers and ordering of integers: 00:06:00 •Lecture 4 Addition and Subtractions of Integers: 00:07:00 •Lecture 5 Operations on Integers: 00:04:00 •Lecture 6 Multiplication and Division of Integers: 00:04:00 •Lecture 7 Powers of Integers (Exponents): 00:04:00 •Lecture 8 Complete knowledge about factors and multiples: 00:06:00 •Lecture 9 Divisibility tests for 2,3,4,5,6: 00:07:00 •Lecture 10 Divisibility rules 7,8,9,10,11: 00:06:00 •Lecture 11 Prime Factorization: 00:06:00 •Lecture 12 Highest Common Factor HCF: 00:10:00 •Lecture 13 Least Common Multiple LCM: 00:16:00 •Lecture 14 Relation between LCM and HCF: 00:04:00 •Lecture 15 Classification of Fractions: 00:04:00 •Lecture 16 Convert mixed to improper and improper to mixed fractions: 00:03:00 •Lecture 17 Equivalent Fractions: 00:04:00 •Lecture 18 Comparing Fractions after converting to like fractions: 00:09:00 •Lecture 19 Reducing a fraction to lowest term: 00:04:00 •Lecture 20 Addition and subtraction OF fractions: 00:08:00 •Lecture 21 Multiplication and division of fractions: 00:11:00 •Lecture 22 Word problems on fractions: 00:16:00 •Lecture 23 BODMAS and rules to remove brackets: 00:03:00 •Lecture 24 Simplify expressions using BODMAS rules: 00:05:00 •Lecture 25 Simplify expressions involving fractions using BODMAS: 00:07:00 •Lecture 26 Decimal numbers in relation to fractions: 00:08:00 •Lecture 27 Like and unlike Decimals: 00:05:00 •Lecture 28 Ordering of Decimal numbers: 00:10:00 •Lecture 29 Addition and subtraction of Decimal: 00:07:00 •Lecture 30 Multiplication of Decimal: 00:03:00 •Lecture 31 Division of Decimal: 00:05:00 •Lecture 32 Rational number: 00:02:00 •Lecture 33 Representation of Rational Numbers on Number line: 00:04:00 •Lecture 34 Determining which fraction is terminating or non terminating: 00:05:00 •Lecture 35 shortcut method of writing decimal expansion of fraction to decimal: 00:08:00 •Lecture 36 Rounding to whole number: 00:06:00 •Lecture 37 Rounding to required number of decimals (1 d.p. ): 00:05:00 •Lecture 38 rounding to significant digits: 00:07:00 •Lecture 39 Practice question on three methods of approximation: 00:05:00 •Lecture 40 Estimation: 00:05:00 •Lecture 41 Scientific Notation: 00:07:00 •Lecture 42 Operation on numbers when they are in scientific notation: 00:06:00 •Lecture 43 Percentage to fraction and fraction to percentage: 00:06:00 •Lecture 44 Percentage of a quantity and conversation to decimal: 00:06:00 •Lecture 45 Expressing one quantity as percentage of another quantity: 00:06:00 •Lecture 46 Finding increase decrease percent: 00:05:00 •Lecture 47 Uses of percentages-Word Problems: 00:09:00 •Lecture 48 Ratio- How to express as simple ratio: 00:09:00 •Lecture 49 How to compare Ratios: 00:04:00 •Lecture 50 Word problems on finding ratios: 00:07:00 •Lecture 51To divide a given quantity into a given Ratio: 00:11:00 •Lecture 52 Proportion: 00:04:00 •Lecture 53 Practice problems on Proportion: 00:06:00 •Lecture 54 Continued proportion: 00:06:00 •Lecture 55 Direct Variation ( or proportion): 00:04:00 •Lecture 56 Problems based on Direct proportion: 00:10:00 •Lecture 57 Inverse Variation ( or proportion): 00:10:00 •Lecture 58 Multiple Ratios: 00:10:00 •Lecture 59 Basics - Profit and Loss: 00:04:00 •Lecture 60 More practice problems on Profit & Loss: 00:06:00 •Lecture 61 Selling price formula and Problems: 00:04:00 •Lecture 62 Cost price formula and Problems: 00:03:00 •Lecture 63 Higher problems on Profit and Loss: 00:08:00 •Lecture 64 Basics - Discount.mp4: 00:05:00 •Lecture 65 Practice problems on Discount: 00:04:00 •Lecture 66 Tax: 00:06:00 •Assignment - Functional Skills Maths - Level 2: 00:00:00
Overview This comprehensive course on Math Tricks & Shortcuts will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Math Tricks & Shortcuts 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 Math Tricks & Shortcuts. It is available to all students, of all academic backgrounds. Requirements Our Math Tricks & Shortcuts 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 15 sections • 90 lectures • 14:24:00 total length •Lecture 1 Introduction: 00:02:00 •Lecture 2 Lines and Angles (Basics): 00:07:00 •Lecture 3 Parallel lines (Basics): 00:06:00 •Lecture 4 Practice Problems 1 (Lines and Angles): 00:06:00 •Lecture 5 Triangles (Basics): 00:11:00 •Lecture 6 Practice Problems 2 (angle sum and exterior angle Property): 00:10:00 •Lecture 7 Pythagoras Theorem: 00:13:00 •Lecture 8 Inequalities in Triangles: 00:06:00 •Lecture 9 Sine and Cosine Rule: 00:12:00 •Lecture 10 Median, Altitude, Angle bisector: 00:06:00 •Lecture 11 Practice Problems 3: 00:11:00 •Lecture 12 Properties of Medians: 00:09:00 •Lecture 13 Practice Problems 4: 00:07:00 •Lecture 14 Properties of Equilateral Triangles: 00:04:00 •Lecture 15 Some special Quadrilaterals: 00:08:00 •Lecture 16 Polygons-interior angles, diagonals etc.: 00:08:00 •Lecture 17 Angle Bisector Theorem: 00:07:00 •Lecture 18 Congruent Triangles: 00:06:00 •Lecture 19 Similar Triangles: 00:14:00 •Lecture 20 Practice Problems 5: 00:10:00 •Lecture 21 Circle: 00:10:00 •Lecture 22 Cyclic Quadrilateral _ Tangent to circle: 00:07:00 •Lecture 23 Areas of Parallelogram & Triangle 1: 00:10:00 •Lecture 24 Areas of Parallelogram _ Triangle 2: 00:10:00 •Lecture 25 Practice Problems based on Areas 1: 00:05:00 •Lecture 26 Practice Problems based on Areas 2: 00:12:00 •Lecture 27 Mensuration Formulae: 00:07:00 •Lecture 28 Practice problems on 2-d figures: 00:11:00 •Lecture 29 Assignment (Video) on 2 - d figure: 00:02:00 •Lecture 30 Areas related to the circle: 00:06:00 •Lecture 31 Practice questions on areas related to circle: 00:10:00 •Practice Test (Geometry): 00:02:00 •Lecture 32 What is Unit Digit: 00:04:00 •Lecture 33 How to find unit digit of numbers with exponents: 00:10:00 •Lecture 34 Practice Problems based on Unit Digit: 00:08:00 •Lecture 35 Simplifications based on Percentages: 00:11:00 •Lecture 36 Simplification based on Exponents: 00:12:00 •Lecture 37 Fastest method of finding square roots: 00:12:00 •Lecture 38 Fastest method of finding cube roots: 00:03:00 •Lecture 39 Simplification based on square and cube roots: 00:16:00 •Lecture 40 Simplification Problems: 00:26:00 •Lecture 41 Simplification problems Type 1: 00:08:00 •Lecture 42 Simplification problems Type 2: 00:08:00 •Lecture 43 Simplification problems Type 3: 00:08:00 •Lecture 44 Simplification problems Type 4: 00:07:00 •Lecture 45 Finding smallest and greatest from difficult exponents: 00:08:00 •Lecture 46 What is Digital sum: 00:05:00 •Lecture 47 How to apply Digital sum technique in different operations: 00:14:00 •Lecture 48 Simplification problems using Digital sum -1: 00:07:00 •Lecture 49 Simplification problems using Digital sum -2: 00:06:00 •Lecture 50 Resources download 1: 00:48:00 •Lecture 51 Problems based on persons, days, work and hours: 00:12:00 •Lecture 52 Short cut formulas for most common problems: 00:11:00 •Lecture 53 Problems based on Two Persons: 00:06:00 •Lecture 54 Problems based on three Persons: 00:10:00 •Lecture 55 Based on Efficiency: 00:13:00 •Lecture 56 Complex problems on Efficiency: 00:10:00 •Lecture 57 Fraction of work: 00:07:00 •Lecture 58 Leaving and Joining - 1: 00:06:00 •Lecture 59 Leaving and Joining - 2: 00:08:00 •Lecture 60 Men, women and boys: 00:05:00 •Lecture 61 Work and wages: 00:11:00 •Lecture 62 Resources download 1: 00:20:00 •Lecture 63 Basics of pipes and cisterns: 00:06:00 •Lecture 64 Pipes and cisterns - Type 1: 00:07:00 •Lecture 65 Pipes and cisterns - Type 2: 00:04:00 •Lecture 66 Pipes and cisterns - Type 3: 00:07:00 •Lecture 67 Pipes and cisterns - Type 4: 00:06:00 •Lecture 68 Pipes and cisterns - Type5: 00:05:00 •Lecture 69 Speed, Distance and Time Resources download: 00:32:00 •Lecture 70 Basic Concepts and simple problems: 00:10:00 •Lecture 71 Problems based on average speed: 00:07:00 •Lecture 72 Problems of finding Distance: 00:13:00 •Lecture 73 Practice Problems 1: 00:10:00 •Lecture 74 Practice Problems 2: 00:08:00 •Lecture 75 Practice Problems 3: 00:07:00 •Lecture 76 Boats and Streams: 00:18:00 •Lecture 77 Basics of Boats and streams: 00:10:00 •Lecture 78 Finding speed of boat or stream: 00:13:00 •Lecture 79 Problems based on finding Distance: 00:06:00 •Lecture 80 Latest Problems on Boat and cisterns: 00:11:00 •Lecture 81 Percentage Basics 1: 00:10:00 •Lecture 82 Percentage Basics 2: 00:04:00 •Lecture 83 Fractional Values of Percentages: 00:09:00 •Lecture 84 Simplification using fractional values of Percentages-1: 00:06:00 •Lecture 85 Simplification problems of Percentage 2: 00:05:00 •Lecture 86 Article for Resources: 00:24:00 •Lecture 87 Problems based on Marks in examination: 00:15:00 •Lecture 88 Problems based on Price and Quantity 1: 00:08:00 •Lecture 89 Problems based on Price and Quantity 2: 00:08:00
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