Want to get rid of the burden of heavy calculations? On the off chance that you have ever been keen on speeding up your Mathematics multiple times quicker with Vedic Math, Mental Math tricks and shortcuts for GMAT, Olympiad, then Best Techniques To Speed Up Your Mathematics will be the best opportunity for you. Through this course, you will receive lots of tips and tricks which will become a component of your calculations. Besides, numerous know-how of Vedic Mathematics also covered in this course which can easily apply in today's Math. By the time you complete this course, you will be set to perform large calculations and enhanced your Mathematics skills. To sum up, this course will be remarkably helpful for individuals who have interest in doing complicated multiplication in less time. What Will I Learn? Apply ' Digital Sum' technique of vedic Mathematics to find right options in multiple choice questions with in a few seconds. Short cuts for 'Time & Work' explained in 11 lectures with lots of practice problems. Find day of the week when any old or coming date is given without counting odd days and leap years Count number of squares , rectangles and triangles with the help of short cut tricks Find answer in 2 seconds of simplification problems like 1/6 +1/12+1/20+1/30+1/42+1/50+1/72+1/90+1/110+1/132 Apply short cuts to solve fraction series like 3/1²Ã2² + 5/ 2²Ã3² + 7/ 3²Ã4² +.............19/9²Ã10² Simplify in 2 seconds problems like ( 1 - 1/3 ) ( 1 - 1/4 ) ( 1 - 1/5 ) ( 1 - 1/6) ........ ( 1 - 1/50 ) Find the solution of complicated repeated square root problems like â5(â5(â5(â5))) in two seconds Squaring any two digit numbers,decimal and non decimal with the help of vedic math technique Squaring any three digit numbers,decimal and non decimal with the help of vedic math technique Able to find square root of any digit number which are not perfect square easily with a special short trick Able to find cube root of any digit number which are not perfect cube easily with a special short trick With Vedic Maths techniques, Multiplying any digit number by 9 ; 99 ; 999 ; 9999999 etc faster than calculator like 47356 à 99999 and 345 à 99999 Multiplying two numbers of any digit in a single line with the help of very fast technique of Vedic mathematics 'Vertically and Crosswise' Multiply any two digit number or any big number by 11,22 and 33 in brain faster than the calculator . Learn how to find remainder when any big digit number is divided by 9 without actually dividing , faster than calculator With Vedic Maths techniques, Multiplying two large numbers of same digits below the base 1000 ;10000 ;100000 etc in 2 seconds like 996 Ã995, 9991 à 9992 Multiplying two numbers of same digits above the base 1000 ;10000 ;100000 etc in 2 seconds like 105 Ã106 , 1003 à 1007, 100001 à 100006 Multiplication of numbers one above the base and the other less than the base like 1 0 5 à 9 4 ; 1 0 02 à 996 etc in 2 seconds Multiplying any digit number by 5 , 25 and 125 very fast within 2 seconds. Squaring numbers that end in 5 faster than calculator Requirements Knowledge of mathematics up to fifth grade Knowledge of the Times Tables up to 9 A pen/ pencil and paper Who is the target audience? GMAT, GRE, CAT, Maths Olympiad, Banking Exams and University entrance exams students looking to increase calculation power with the help of Vedic Maths Shortcuts Whoever wants to learn to do calculations without calculator Whoever wants to increase Math power, skill and get rid of fear of Maths School students want to learn short tricks , wants to increase concentration Middle school and High school students want to do calculations many times faster Introduction Lecture 1 Introduction.mp4 FREE 00:02:00 Section 2 Lecture 2 Multiplying any digit number by 11, 22, and 33 00:09:00 Section 3 Lecture 3 Finding remainder when a number of any digits is divided by 9.mp4 00:04:00 Section 4 Lecture 4 Multiplying any digit number by series of 9; 99; 999; 99999 Part 1.mp4.TS 00:08:00 Lecture 5 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 2.mp4 00:07:00 Section 5 Lecture 6 Product of two numbers below the base number 100; 1000 etc.mp4 00:08:00 Lecture 7 Multiplication of Numbers above the base 1000; 10000; 100000 etc.mp4 00:08:00 Lecture 8 Multiplication of numbers one above the base and second less than the base.mp4 00:06:00 Section 6 Lecture 9 multiplying any two digit numbers using Vertically and Crosswise.mp4 00:04:00 Lecture 10 Multiplying three digit numbers using Vertically and Crosswise.mp4 00:05:00 Section 7 Lecture 11 Multiplying any digit number by 5, 25, and 125 faster than calculator.mp4 00:07:00 Section 8 Lecture 12 Squaring numbers that end in 5 using Vedic Math.mp4.TS 00:04:00 Lecture 13 Squaring two digit numbers mentally Using Vedic Math technique.mp4 00:06:00 Lecture 14 Squaring three digit numbers mentally Using Vedic Math technique.mp4 00:05:00 Section 9 Lecture 15 Finding cube of any two digit number faster than calculator.mp4 00:10:00 Section 10 Lecture 16 Approximate value of square root of numbers which are not perfect squares.mp4 00:09:00 Lecture 17 Approximate value of cube root of numbers which are not perfect cubes.mp4 00:05:00 Section 11 Lecture 18 Short tricks to count Number of Squares in given figure.mp4 00:05:00 Lecture 19 Short tricks to count Number of Rectangles in given figure.mp4 00:03:00 Lecture 20 Short tricks to count Number of triangles in given figure.mp4.TS 00:04:00 Section 12 Lecture 21 Finding Day of the week when any date is given in 2 Seconds mentally.mp4 00:12:00 Simplify calculations super fast Lecture 22 Digital sum of a number.mp4 00:04:00 Lecture 23 Digital sum- Addition and Subtraction.mp4 00:10:00 Lecture 24 Digital sums- Multiplication.mp4 00:07:00 Lecture 25 Digital sum- divisions.mp4 00:08:00 Simplification short cuts for complicated fractions and square root problems Lecture 26 Simplification short tricks for complicated fractions.mp4 00:10:00 Lecture 27 Simplification short tricks for fractions series part 1.mp4 00:07:00 Lecture 28 Simplification short tricks for fractions series part 2.mp4 00:05:00 Lecture 29 Simplification short tricks for complicated square root problems.mp4 00:09:00
Number Theory Basics is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Number Theory Basics and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills. Consisting of several modules, the course teaches you everything you need to succeed in this profession. The course can be studied part-time. You can become accredited within 9 hours studying at your own pace. Your qualification will be recognised and can be checked for validity on our dedicated website. Why Choose Teachers Training Some of our website features are: This is a dedicated website for teaching 24/7 tutor support Interactive Content Affordable price Courses accredited by the UK's top awarding bodies 100% online Flexible deadline Entry Requirements No formal entry requirements. You need to have: Passion for learning A good understanding of the English language Be motivated and hard-working Over the age of 16. Certification CPD Certification from The Teachers Training Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. You can get your digital certificate (PDF) for £4.99 only Hard copy certificates are also available, and you can get one for only £10.99 You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Introduction What is Number Theory 00:08:00 Basics of Number Theory Number Theory 00:07:00 Number Sets 00:09:00 Number Patterns 00:10:00 Even & Odd Numbers 00:11:00 Number Properties 00:10:00 Proofs 00:11:00 Number Bases Number Bases 00:12:00 Binary Base 00:12:00 Binary Arithmetics 00:15:00 Hexadecimal Base 00:13:00 Hexadecimal Arithmetics 00:14:00 Factorials Factorial 00:05:00 Double Factorial 00:09:00 Super Factorial 00:03:00 Exponential Factorial 00:03:00 Factorion 00:05:00 Stirling's Formula 00:03:00 Number of Digits 00:03:00 Divisibility Divisibility 00:07:00 Divisibility Rules 00:04:00 Euclidean Division Theorem 00:08:00 GCD & LCM 00:11:00 Bézout's Identity 00:08:00 Perfect Numbers 00:04:00 Practical Numbers 00:05:00 Amicable Numbers 00:04:00 Fibonacci Sequence 00:09:00 Tribonacci Sequence 00:05:00 Golden Ratio 00:11:00 Primes Prime Numbers 00:09:00 Fundamental Theorem of Arithmetics (FTA) 00:10:00 Almost Primes 00:07:00 Prime Powers 00:02:00 Factorial Prime 00:03:00 Euclid's Theorems 00:09:00 The Prime Number Theorem 00:04:00 Unsolved Problems 00:06:00 Number Empire 00:07:00 Modular Arithmetic Modular Arithmetics 00:09:00 Congruence 00:13:00 Congruence Class 00:12:00 Residue Systems 00:04:00 Quadratic Residues 00:04:00 Modular Operations 00:06:00 Inverses 00:07:00 Modular Exponentiation 00:10:00 Wilson's Theorem 00:05:00 Chinese Remainder Theorem 00:09:00 Fermat's Little Theorem 00:05:00 Euler's Totient Function 00:07:00 Euler-Fermat Theorem 00:04:00 Continued Fractions Continued Fractions 00:08:00 Negative Continued Fractions 00:11:00 Finite Continued Fractions 00:14:00 Infinite Continued Fractions 00:17:00 Periodic Continued Fractions 00:10:00 Convergent 00:12:00 Cryptography Cryptography 00:09:00 Early Ciphers 00:11:00 Public Key Cryptography 00:13:00 RSA Encryption 00:11:00 Diffie-Hellman Protocol 00:04:00 Resources Resource - An Introduction to Number Theory 00:05:00
Discrete Maths Teaching 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 Discrete Maths Teaching 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 19 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 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. Sets Introduction to Sets 00:01:00 Definition of Set 00:09:00 Number Sets 00:10:00 Set Equality 00:09:00 Set-Builder Notation 00:10:00 Types of Sets 00:12:00 Subsets 00:10:00 Power Set 00:05:00 Ordered Pairs 00:05:00 Cartesian Products 00:14:00 Cartesian Plane 00:04:00 Venn Diagrams 00:03:00 Set Operations (Union, Intersection) 00:15:00 Properties of Union and Intersection 00:10:00 Set Operations (Difference, Complement) 00:12:00 Properties of Difference and Complement 00:07:00 De Morgan's Law 00:08:00 Partition of Sets 00:16:00 Logic Introduction 00:01:00 Statements 00:07:00 Compound Statements 00:13:00 Truth Tables 00:09:00 Examples 00:13:00 Logical Equivalences 00:07:00 Tautologies and Contradictions 00:06:00 De Morgan's Laws in Logic 00:12:00 Logical Equivalence Laws 00:03:00 Conditional Statements 00:13:00 Negation of Conditional Statements 00:10:00 Converse and Inverse 00:07:00 Biconditional Statements 00:09:00 Examples 00:12:00 Digital Logic Circuits 00:13:00 Black Boxes and Gates 00:15:00 Boolean Expressions 00:06:00 Truth Tables and Circuits 00:09:00 Equivalent Circuits 00:07:00 NAND and NOR Gates 00:07:00 Quantified Statements - ALL 00:08:00 Quantified Statements - THERE EXISTS 00:07:00 Negations of Quantified Statements 00:08:00 Number Theory Introduction 00:01:00 Parity 00:13:00 Divisibility 00:11:00 Prime Numbers 00:08:00 Prime Factorisation 00:09:00 GCD & LCM 00:17:00 Proof Intro 00:06:00 Terminologies 00:08:00 Direct Proofs 00:09:00 Proofs by Contrapositive 00:11:00 Proofs by Contradiction 00:17:00 Exhaustion Proofs 00:14:00 Existence & Uniqueness Proofs 00:16:00 Proofs by Induction 00:12:00 Examples 00:19:00 Functions Intro 00:01:00 Functions 00:15:00 Evaluating a Function 00:13:00 Domains 00:16:00 Range 00:05:00 Graphs 00:16:00 Graphing Calculator 00:06:00 Extracting Info from a Graph 00:12:00 Domain & Range from a Graph 00:08:00 Function Composition 00:10:00 Function Combination 00:09:00 Even and Odd Functions 00:08:00 One to One (Injective) Functions 00:09:00 Onto (Surjective) Functions 00:07:00 Inverse Functions 00:10:00 Long Division 00:16:00 Relations Intro 00:01:00 The Language of Relations 00:10:00 Relations on Sets 00:13:00 The Inverse of a Relation 00:06:00 Reflexivity, Symmetry and Transitivity 00:13:00 Examples 00:08:00 Properties of Equality & Less Than 00:08:00 Equivalence Relation 00:07:00 Equivalence Class 00:07:00 Graph Theory Intro 00:01:00 Graphs 00:11:00 Subgraphs 00:09:00 Degree 00:10:00 Sum of Degrees of Vertices Theorem 00:23:00 Adjacency and Incidence 00:09:00 Adjacency Matrix 00:16:00 Incidence Matrix 00:08:00 Isomorphism 00:08:00 Walks, Trails, Paths, and Circuits 00:13:00 Examples 00:10:00 Eccentricity, Diameter, and Radius 00:07:00 Connectedness 00:20:00 Euler Trails and Circuits 00:18:00 Fleury's Algorithm 00:10:00 Hamiltonian Paths and Circuits 00:06:00 Ore's Theorem 00:14:00 The Shortest Path Problem 00:13:00 Statistics Intro 00:01:00 Terminologies 00:03:00 Mean 00:04:00 Median 00:03:00 Mode 00:03:00 Range 00:08:00 Outlier 00:04:00 Variance 00:09:00 Standard Deviation 00:04:00 Combinatorics Intro 00:03:00 Factorials 00:08:00 The Fundamental Counting Principle 00:13:00 Permutations 00:13:00 Combinations 00:12:00 Pigeonhole Principle 00:06:00 Pascal's Triangle 00:08:00 Sequence and Series Intro 00:01:00 Sequence 00:07:00 Arithmetic Sequences 00:12:00 Geometric Sequences 00:09:00 Partial Sums of Arithmetic Sequences 00:12:00 Partial Sums of Geometric Sequences 00:07:00 Series 00:13:00
Trigonometry and Trigonometric Functions Teaching 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 Trigonometry and Trigonometric Functions Teaching 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 11 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. Course Promo Course Promo 00:02:00 Module 01: Fundamentals Number Tools 00:10:00 Graphing Tools 00:06:00 The Coordinate Plane 00:06:00 Module 02: Trigonometry Unit Circle Approach Introduction 00:01:00 The Unit Circle 00:08:00 Terminal Points 00:31:00 Reference Number 00:22:00 Trigonometric Functions 00:12:00 Evaluating Trigonometric Functions 00:14:00 Graph of Sine & Cosine 00:24:00 Sine & Cosine Graph Transformations 00:17:00 Tangent & Cotangent Graphs 00:20:00 Secant & Cosecant Graphs 00:25:00 Domain and Range of Sin, Cos and Tan 00:22:00 Examples 00:13:00 Domain and Range of Sec, Csc and Cot 00:13:00 Examples 00:16:00 Module 03: Trigonometry: Right Triangle Approach Introduction 00:01:00 Angles 00:16:00 Standard Position 00:08:00 Trigonometric Ratios 00:15:00 Examples 00:13:00 Special Angles 00:24:00 Examples 00:05:00 Reference Angle 00:14:00 Evaluating Trig Functions and Points 00:18:00 Inverse Trigonometric Functions 00:12:00 The Law of Sines 00:13:00 The Law of Cosines 00:10:00 Area of a Triangle 00:08:00 Module 04: Analytic Trigonometry Introduction 00:01:00 Fundamental Identities 00:10:00 Examples 00:18:00 Addition and Subtraction Formulas 00:15:00 Sums of Sines and Cosines 00:07:00 Double Angle Formulas 00:10:00 Half Angle Formulas 00:08:00 Formulas for Lowering Powers 00:05:00 Sum-to-Product Formulas 00:06:00 Product-to-Sum Formulas 00:05:00 Module 05: Polar Coordinates Polar Coordinates 00:19:00 Polar and Rectangular Coordinates 00:11:00 Polar Equations 00:07:00 Graph of Polar Equations 00:18:00 Symmetry 00:17:00 Common Polar Curves 00:12:00 Graphing Complex Numbers 00:06:00 Modulus 00:04:00 Polar Form of Complex Numbers 00:09:00 Multiplication and Division 00:07:00 De Moivre's Theorem 00:05:00 nth Roots of a Complex Number 00:21:00 Resources Resource - Learn Trigonometry and Trigonometric Functions 00:00:00
Overview Computer Simulation of Realistic Mathematical Models Course 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 Computer Simulation of Realistic Mathematical Models Course 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 05 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. Section 01: Introduction Introduction 00:04:00 Section 02: Prey-Predator Model Pure prey-predator model 00:06:00 Equilibrium points and their stability 00:05:00 Equilibrium points in the prey-predator model 00:03:00 Section 03: Constructing the Model with Open-Source Software Introduction to Scilab 00:03:00 Constructing the model with Scilab part 1 00:09:00 Constructing the model with Scilab part 2 00:18:00 How parameters affect the output of the model 00:09:00 Influence of fishing on the model 00:11:00 Addition of logistic terms to the model 00:13:00 Section 04: Evolution of Epidemics Model on the evolution of epidemics 00:16:00 Assignment Assignment - Computer Simulation of Realistic Mathematical Models 00:00:00
Hone your Math teaching skills and become a top Math teacher with our expertly designed High School Math course. This course educates you on high school mathematics fundamental topics to enable you to build competencies throughout your teaching career. The Highschool Math Training course ensures your extensive understanding of Math's core modules and concepts to help you grow and develop in many ways. You will learn the teaching methods and will be able to develop the best techniques to engage pupils in learning activities. Get to work with young people and see the world differently by enrolling today! Why Choose Teachers Training Some of our 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 Numeracy and IT Desire for entrepreneurship Over the age of 16. Assessment The assessment is straightforward, you need to complete the assignment questions that will be provided to you at the end of the course, you can complete the assignment anytime you want. After you complete and submit your assignment, our tutors will assess your assignment and give you feedback if needed. After your assignment has been assessed and you have passed, you will be qualified and will be able to apply for a course completion certificate. 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.
Calculus Basics is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Calculus Basics and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills. Consisting of several modules, the course teaches you everything you need to succeed in this profession. The course can be studied part-time. You can become accredited within 16 hours studying at your own pace. Your qualification will be recognised and can be checked for validity on our dedicated website. Why Choose Teachers Training Some of our website features are: This is a dedicated website for teaching 24/7 tutor support Interactive Content Affordable price Courses accredited by the UK's top awarding bodies 100% online Flexible deadline Entry Requirements No formal entry requirements. You need to have: Passion for learning A good understanding of the English language Be motivated and hard-working Over the age of 16. Certification CPD Certification from The Teachers Training Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. You can get your digital certificate (PDF) for £4.99 only Hard copy certificates are also available, and you can get one for only £10.99 You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Unit 01: Supplements 1.1 Number Sets 00:10:00 1.2 Graphing Tools 00:06:00 Unit 02: Functions 2.1 Introduction 00:01:00 2.2 Functions 00:15:00 2.3 Evaluating a Function 00:13:00 2.4 Domain 00:16:00 2.5 Range 00:05:00 2.6 One to One Function 00:09:00 2.7 Inverse Functions 00:10:00 2.8 Exponential Functions 00:05:00 2.9 The Natural Exponential Function 00:06:00 2.10 Logarithms 00:13:00 2.11 Natural Logarithms 00:07:00 2.12 Logarithm Laws 00:06:00 2.13 Trigonometric Ratios 00:15:00 2.14 Evaluating Trig Functions and Points 00:18:00 2.15 Inverse Trigonometric Functions 00:12:00 Unit 03 Limits 3.1 Introduction 00:01:00 3.2 What is a Limit? 00:17:00 3.3 Examples 00:15:00 3.4 One-Sided Limits 00:12:00 3.5 The Limit Laws 00:08:00 3.6 Examples 00:15:00 3.7 More Examples 00:15:00 3.8 The Squeeze (Sandwich) Theorem 00:09:00 3.9 Examples 00:10:00 3.10 Precise Definition of Limits 00:08:00 3.11 Examples 00:15:00 3.12 limits at Infinity 00:21:00 3.13 Examples 00:15:00 3.14 Asymptotes and Limits at Infinity 00:10:00 3.15 Infinite Limits 00:12:00 Unit 04: Continuity 4.1 Introduction 00:01:00 4.2 Continuity 00:12:00 4.3 Types of Discontinuity 00:12:00 4.4 Examples 00:17:00 4.5 Properties of Continuous Functions 00:11:00 4.6 Intermediate Value Theorem for Continuous Functions 00:06:00 Unit 05: Derivatives 5.1 Introduction 00:01:00 5.2 Average Rate of Change 00:09:00 5.3 Instantaneous Rate of Change 00:12:00 5.4 Derivative Definition 00:14:00 5.5 Examples 00:10:00 5.6 Non-Differentiability 00:06:00 5.7 Constant and Power Rule 00:09:00 5.8 Constant Multiple Rule 00:07:00 5.9 Sum and Difference Rule 00:07:00 5.10 Product Rule 00:14:00 5.11 Quotient Rule 00:08:00 5.12 Chain Rule 00:14:00 5.13 Examples 00:09:00 5.14 Derivative Symbols 00:04:00 5.15 Graph of Derivatives 00:10:00 5.16 Higher Order Derivatives 00:08:00 5.17 Equation of the Tangent Line 00:07:00 5.18 Derivative of Trig Functions 00:07:00 5.19 Examples 00:19:00 5.20 Derivative of Inverse Trig Functions 00:08:00 5.21 Examples 00:12:00 5.22 Implicit Differentiation 00:17:00 5.23 Derivative of Inverse Functions 00:13:00 5.24 Derivative of the Natural Exponential Function 00:11:00 5.25 Derivative of the Natural Logarithm Function 00:07:00 5.26 Derivative of Exponential Functions 00:06:00 5.27 Derivative of Logarithmic Functions 00:06:00 5.28 Logarithmic Differentiation 00:15:00 Unit 06: Application of Derivatives 6.1 Introduction 00:01:00 6.2 Related Rates 00:08:00 6.3 Examples 00:13:00 6.4 More Example 00:09:00 6.5 More Example 00:10:00 6.6 Optimisation 00:16:00 6.7 Example 00:11:00 6.8 More Example 00:07:00 6.9 Extreme Values of Functions 00:12:00 6.10 Critical Points 00:08:00 6.11 Examples (First Derivative Test) 00:16:00 6.12 More Examples 00:18:00 6.13 Concavity 00:15:00 6.14 Examples 00:13:00 6.15 Second Derivative Test 00:08:00 6.16 Graphing Functions 00:08:00 6.17 Examples 00:21:00 6.18 L' HoÌpital's Rule 00:12:00 6.19 Other Indeterminate Forms 00:15:00 6.20 Rolle's Theorem 00:09:00 6.21 The Mean Value Theorem 00:19:00 6.22Application of the Mean Value Theorem 00:04:00 Resources Resource - Fundamentals of Calculus 00:00:00
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
[vc_row][vc_column][vc_column_text] Description: Want to combat your fear of numbers and master complex maths equations? Are you looking for expert tips and tricks to help you pass your exams? Develop essential problem-solving skills and improve your career prospects with this Mathematics Certificate Level 2 Course. This maths certificate course covers such topics as getting started with the building blocks of maths, dealing with decimals, percentages, tackling fractions without fear and algebra. This course will help you to develop your mathematical knowledge as a key life skill. You will also improve your mental arithmetic and calculations through Verdic maths exercises. Throughout this course, you will build your confidence by helping you develop a feel for numbers, patterns and relationships, and places a strong emphasis on solving problems and presenting and interpreting results. You will also gain an understanding of how to communicate and reason using mathematical theories and concepts. This course has no entry requirements. On successful completion, you will have the confidence and ability to apply your new skills in your studies and in real-life scenarios. Certification: After completing 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 Certificate Level 2 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 Certificate Level 2 is fully compatible with any kind of device. Whether you are using Windows computer, Mac, smartphones or tablets, you will get the same experience while learning. Besides that, you will be able to access the course with any kind of internet connection from anywhere at any time without any kind of limitation. Career Path After completing this course you will be able to build up accurate knowledge and skills with proper confidence to enrich yourself and brighten up your career in the relevant job market.[/vc_column_text][/vc_column][/vc_row] Introduction Lecture 1 Intro video 00:02:00 Section 2 Lecture 2 Multiplying any digit number by 11, 22, and 33 00:09:00 Section 3 Lecture 3 Finding remainder when a number of any digits is divided by 9 00:04:00 Section 4 Lecture 4 Multiplying any digit number by series of 9; 99; 999; 99999 Part 1 00:08:00 Lecture 5 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 2 00:07:00 Section 5 Lecture 6 Product of two numbers below the base number 100; 1000 etc 00:08:00 Lecture 7 Multiplication of Numbers above the base 1000; 10000; 100000 etc 00:08:00 Lecture 8 Multiplication of numbers one above the base and second less than the base 00:06:00 Section 6 Lecture 9 multiplying any two digit numbers using Vertically and Crosswise 00:04:00 Lecture 10 Multiplying three digit numbers using Vertically and Crosswise 00:05:00 Section 7 Lecture 11 Multiplying any digit number by 5, 25, and 125 faster than calculator 00:07:00 Section 8 Lecture 12 Squaring numbers that end in 5 using Vedic Math 00:04:00 Lecture 13 Squaring two digit numbers mentally Using Vedic Math technique 00:06:00 Lecture 14 Squaring three digit numbers mentally Using Vedic Math technique 00:05:00 Section 9 Lecture 15 Finding cube of any two digit number faster than calculator 00:10:00 Section 10 Lecture 16 Approximate value of square root of numbers which are not perfect squares 00:09:00 Lecture 17 Approximate value of cube root of numbers which are not perfect cubes 00:05:00 Section 11 Lecture 18 Short tricks to count Number of Squares in given figure 00:05:00 Lecture 19 Short tricks to count Number of Rectangles in given figure 00:03:00 Lecture 20 Short tricks to count Number of triangles in given figure 00:04:00 Section 12 Lecture 21 Finding Day of the week when any date is given in 2 Seconds mentally 00:12:00 Simplify calculations super fast Lecture 22 Digital sum of a number 00:04:00 Lecture 23 Digital sum- Addition and Subtraction 00:10:00 Lecture 24 Digital sums- Multiplication 00:07:00 Lecture 25 Digital sum- divisions 00:08:00 Simplification short cuts for complicated fractions and square root problems Lecture 26 Simplification short tricks for complicated fractions 00:10:00 Lecture 27 Simplification short tricks for fractions series part 1 00:07:00 Lecture 28 Simplification short tricks for fractions series part 2 00:05:00 Lecture 29 Simplification short tricks for complicated square root problems 00:09:00 Certificate and Transcript Order Your Certificates and Transcripts 00:00:00
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