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
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
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
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
***With this High School Math Training course, get a Personal Hygiene Course completely FREE and prevent yourself from being infected by Coronavirus and other contagious diseases.*** High School Math Training 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 High School Math Training 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 23 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 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.
Master essential mathematical concepts in Number Sense, Algebra, and Analytic Geometry with our Grade 9 Maths Course. Explore foundational principles, problem-solving techniques, and real-world applications to build a solid mathematical foundation. Whether you're a student preparing for exams or seeking to strengthen your math skills, this course provides comprehensive instruction and practice to help you succeed in Grade 9 and beyond.
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