Algebra is one of the most common and malleable types of mathematics, and it is also one of the most significant since primary algebra used by electricians, engineers, and nearly everyone in between. This Pefect your Algebra Fundamentals is intended for individuals with no prior knowledge of Algebra. This course includes all the fundamental concepts of Algebra, and each step-by-step arranged modules will explain topics in a mild and an approachable manner. You will understand the basic terminology of Algebra, following with finding the numerical value of Algebraic expressions, addition, subtraction, multiplication and division of Algebraic expressions, directed numbers, higher indices, use of brackets in Algebra and many more. To sum up, theories explained in an interactive and practical format and then further demonstrated with questions to ensure you have a good understanding of the topics by the end of this course. What Will I Learn? Apply laws of Indices ( Exponents) on algebraic expressions. Algebraic Identities used in algebra and their application like ( a - b ) ² , ( a + b ) ³ , a ³ - b ³ , ( a + b + c ) ² etc Factorize using common factors, regrouping , splitting the middle term, using identity a² - b² , (a+b)² , (a+b)² ,a ³ + b ³ + c ³ - 3 a b c etc Solve all types of Linear equations in one variable Word problems based on linear equations Knows about adding and removing brackets in algebraic expressions Change the subject of formula simplify fractions with denominators algebraic expression and bring them to its lowest form Add , subtract , multiply and divide any algebraic expression Divide one polynomial by another by long division method Find value of any algebraic expression when value of variable is known Fully familiar with rarely used identity a ³ + b ³ + c ³ - 3 a b c Learn to draw line graph Solve Linear Inequalities Able to solve all the problems of simultaneous linear equations by applying different methods Able to solve linear equations with 1/2 variables graphically Able to solve real world problems with the help of simultaneous linear equations Solve Quadratic equations using Factorization method and Quadratic Formula Solve Quadratic using squaring complete method Solve all types of complex Quadratic equations and reducible to quadratic equation Knowledge of nature of roots of quadratic equations Learn to solve different types of word problems on Quadratic equations Requirements Knowledge of Mathematics till 5th grade Who is the target audience? GMAT , GRE and MBA entrance exams students looking for revision of Algebra fundamentals Wants to brush up basics of algebra in Mathematics Current IGCSE students because course is designed to cover topics of Algebra Current Algebra students of CBSE , ICSE board . Middle school, High school or early college level students If Algebra is always trouble for you then this course is specially for you as it will teach from very basics to in depth knowledge giving lots of practice through solving problems Students who wants to learn all types of factorisation especially middle term split High school students who have gaps in their knowledge and would like to fill them with basics Introduction Lecture 1 Intro video Algebra Introduction final 00:02:00 Fundamental concepts on Algebraic Expressions Lecture 2 Terminology used in Algebra 00:05:00 Lecture 3 Language of Algebra 00:06:00 Lecture 4 Practice Questions 00:06:00 Lecture 5 Finding numerical value of an algebraic expression 00:14:00 Operations on Algebraic Expressions Lecture 6 Revision of Directed number ( integers 00:06:00 Lecture 7 Addition and subtraction of monomial expressions 00:06:00 Lecture 8 Addition of algebraic expressions with many terms 00:10:00 Lecture 9 Subtraction of algebraic expressions 00:10:00 Indices ( Exponents) Lecture 10 The rules of Indices in algebra 00:11:00 Lecture 11 Fractional indices 00:10:00 Lecture 12 Understanding indices (practice questions) 00:07:00 Lecture 13 Problems from IGCSE Last year papers 00:09:00 Multiplication and Division of Algebraic expressions Lecture 14 Multiplication of monomial algebraic expressions 00:05:00 Lecture 15 Multiplication of monomial with binomials and trinomials 00:11:00 Lecture 16 Division of algebraic expression by a monomial 00:07:00 Lecture 17 Division of algebraic expression by another polynomial 00:09:00 Lecture 18 Division of a polynomial by another polynomial with remainder 00:11:00 Brackets in Algebra Lecture 19 Rules of brackets 00:04:00 Lecture 20 Simplification by removing brackets 00:11:00 Linear equations in one variable Lecture 21 Simplification of algebraic fractions 00:07:00 Lecture 22 Rules to solve linear equations in one variable 00:03:00 Lecture 23 Solving linear equations in one variable 00:07:00 Pefect your Algebra Fundamentals 00:10:00 Lecture 25 Word problems on linear equations in one variable 00:13:00 Algebraic Identities Lecture 26 Standard Identities (a + b )² and (a - b )² identities 00:11:00 Lecture 27 Standard Identity ( a - b ) ( a + b) = a ² - b ² 00:08:00 Lecture 28 Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c 00:07:00 Lecture 29 Standard Identities ( a + b ) ³ and ( a - b ) ³ 00:09:00 Lecture 30 Standard Identities a ³ + b ³ and a ³ - b ³ 00:06:00 Lecture 31 Standard Identities a ³ + b ³ + c ³ - 3 a b c 00:10:00 Formula : Change of subject of formula Lecture 32 -Changing the subject of formula 00:08:00 Linear Inequalities Lecture 33 Linear Inequalities 00:12:00 Resolve into factors Lecture 34 Factorization by taking out common factor 00:10:00 Lecture 35 Factorization by grouping the terms 00:09:00 Lecture 36 Factorize using identity a ² - b ² 00:07:00 Lecture 37 Factorize using identity (a + b )² and (a - b )² 00:08:00 Lecture 38 Factorize using identity ( a + b + c ) ² 00:05:00 Lecture 39 Factorization by middle term split 00:12:00 Algebraic Fractions Lecture 40 Simplification of algebraic fractions 00:06:00 Coordinate axis - points and Line graph Lecture 41 All that you need to know about co ordinate axis 00:04:00 Lecture 42 Some important facts needed to draw line graph 00:03:00 Lecture 43 How to draw a line graph on coordinate plane 00:03:00 Lecture 44 Drawing line graphs 00:06:00 System of simultaneous linear equations in two variables Lecture 45 Simultaneous Linear Equations in two variables- intro 00:03:00 Lecture 46 Graphical method of solving linear equations 00:06:00 Lecture 47 Graphical method - more sums 00:10:00 Lecture 48 Method of Elimination by substitution 00:09:00 Lecture 49 Method of Elimination by Equating coefficients 00:11:00 Lecture 50 Method of Elimination by cross multiplication 00:07:00 Lecture 51 Equations reducible to simultaneous linear equations 00:12:00 Lecture 52 Word Problems on Linear equations 00:18:00 Polynomials Lecture 53 Polynomials and Zeros of polynomials 00:10:00 Lecture 54 Remainder Theorem 00:04:00 Lecture 55 Factor Theorem 00:08:00 Lecture 56 Practice problems on Remainder and Factor Theorem 00:09:00 Lecture 57 Factorization using factor Theorem 00:10:00 Quadratic Polynomials Lecture 58 Zeros of polynomials α, β & γ 00:10:00 Lecture 59 Relation between zeros and coefficients of a polynomials 00:13:00 Lecture 60 Writing polynomials if zeros are given 00:06:00 Lecture 61 Practice problems on zeros of polynomials 00:10:00 Lecture 62 Problems solving with α and β (part 1) 00:11:00 Lecture 63 Problems solving with α and β (part 2) 00:10:00 Quadratic Equations Lecture 64 what are Quadratic equations 00:03:00 Lecture 65 Solutions by factorization method 00:12:00 Lecture 66 Solutions by completing square formula 00:06:00 Lecture 67 Deriving Quadratic formula 00:05:00 Lecture 68 Practice problems by Quadratic formula 00:07:00 Lecture 69 Solving complex quadratic equations by Quadratic Formula 00:11:00 Lecture 70 Solutions of reducible to Quadratic Formula 00:09:00 Lecture 71 Skilled problems on Quadratic Equations 00:07:00 Lecture 72 Exponential problems reducible to Quadratic Equations 00:06:00 Lecture 73 Nature of Roots of Quadratic Equations 00:09:00 Lecture 74 Word problems on quadratic Equations Part 1 00:13:00 Lecture 75 Word problems on quadratic Equations Part 2 00:11:00 lecture 76 word problems on Quadratic 00:12:00 Mock Exam Final Exam
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Welcome to Calculus Level 1 - Learn Differentiation, the course that will turn you into a differentiation expert. This course is the perfect stepping-stone to ignite your passion for calculus and launch you into the world of mathematical complexities with ease. We've designed this Calculus Level 1 - Learn Differentiation course to be your comprehensive guide, taking you from basic rules to advanced techniques in the realm of differentiation. In the initial sections, you'll find a clear, understandable introduction to the field of calculus and the fundamental rules of differentiation. We will then be diving into the differentiation of trigonometric, exponential, and logarithmic functions. This will equip you with the tools to handle any type of function thrown your way. As we progress, the course will gently introduce the Chain Rule and strengthen your understanding of it, making complex calculations a breeze. The advanced sections venture into intriguing areas like the differentiation of inverse and hyperbolic trig functions, implicit functions, and parametric functions. Techniques like Logarithmic Differentiation and the understanding of higher order derivatives are broken down and explained in an easy-to-digest manner. You will not only have mastered the skill of differentiation after completing the Calculus Level 1 - Learn Differentiation course, but you will also have laid a solid basis for higher calculus. This course combines theory, problem-solving, and revision portions, making it ideal for people new to the field and those wishing to improve their knowledge. Join us on this mathematical adventure to discover the brilliance of calculus in a whole new light. Sign up now! Learning Outcomes: Upon completion of the Calculus Level 1 - Learn Differentiation course, you should be able to: Understand the basics and fundamental principles of differentiation. Differentiate trigonometric and exponential functions with ease. Master the application of the Chain Rule in differentiation. Execute differentiation of inverse and hyperbolic trig functions. Comprehend and apply differentiation to implicit functions. Gain proficiency in logarithmic differentiation. Derive and solve higher order derivative functions. Who is this course for? This course is perfect for: High school students seeking a firm grasp on calculus. Undergraduates looking to bolster their mathematics foundation. Professionals needing a refresher course in calculus. Aspiring mathematicians and engineers who use calculus extensively. Career Path: Upon completion of the Calculus Level 1 - Learn Differentiation course, you open up a world of opportunities. This foundational knowledge in calculus can lead you to a wide range of careers in fields such as engineering, physics, computer science, economics, and more. Further, it serves as a stepping-stone for advanced studies in mathematics, paving the path for academic and research roles. This course ensures you have the mathematical prowess required in today's data-driven world. Certification After studying the course materials of the Calculus Level 1 - Learn Differentiation there will be a written assignment test which you can take either during or at the end of the course. After successfully passing the test you will be able to claim the pdf certificate for £5.99. Original Hard Copy certificates need to be ordered at an additional cost of £9.60. Prerequisites This Calculus Level 1 - Learn Differentiation does not require you to have any prior qualifications or experience. You can just enrol and start learning.This Calculus Level 1 - Learn Differentiation was made by professionals and it is compatible with all PC's, Mac's, tablets and smartphones. You will be able to access the course from anywhere at any time as long as you have a good enough internet connection. Course Curriculum Section 01: Introduction Module 01: Promotional video 00:02:00 Module 02: Quick Guide 00:01:00 Section 02: Fundamental Rules for Differentiation Module 01: Power Rule 00:14:00 Module 02: Practice Problems Part 1 00:09:00 Module 03: Practice Problems Part 2 00:06:00 Module 04: Product Rule 00:13:00 Module 05: Quotient Rule 00:06:00 Module 06: Chain Rule For Differentiation 00:10:00 Section 03: Differentiation of Trigonometric Functions Module 01: Derivatives of Trigonometric functions 00:08:00 Module 02: Product Rule with Trigonometric Functions 00:11:00 Module 03: Quotient Rule with Trigonometric Functions 00:13:00 Module 04: Chain Rule with Trigonometric Functions Part 1 00:11:00 Module 05: Chain Rule with Trigonometric Functions Part 2 00:10:00 Module 06: Chain Rule with Trigonometric Functions Part 3 00:10:00 Section 04: Differentiation of Exponential Functions Module 01: Exponential Derivatives 00:13:00 Module 02: Chain Rule for Exponential Functions 00:14:00 Module 03: Derivatives of Exponential functions involving Trig Functions 00:12:00 Section 05: Differentiation of Logarithmic Functions Module 01: Derivatives of Logarithmic functions Part 1 00:09:00 Module 02: Derivatives of Logarithmic functions Part 2 00:10:00 Module 03: Derivatives of Logarithmic functions Part 3 00:06:00 Module 04: Problems involving Logarithmic and Trig functions part 1 00:09:00 Module 05: Problems involving Logarithmic and Trig functions part 2 00:07:00 Module 06: Problems involving Logarithmic and Trig functions part 3 00:05:00 Section 06: Revision Section 0on Chain Rule Module 01: Revision of Chain Rule Part 1 00:08:00 Module 02: Revision of Chain Rule Part 2 00:12:00 Module 03: Practice Problems Part 1 00:09:00 Module 04: Practice Problems Part 2 00:07:00 Section 07: Differentiation of inverse Trig Function Module 01: Derivatives of Inverse Trig Functions Part 1 00:09:00 Module 02: Derivatives of Inverse Trig Functions Part 2 00:11:00 Section 08: Differentiation of Hyperbolic Trig Functions Module 01: Derivatives of Hyperbolic Trig functions part 1 00:07:00 Module 02: Derivatives of Hyperbolic Trig functions part 2 00:07:00 Module 03: Derivatives of Inverse Hyperbolic Trig functions 00:09:00 Section 09: Differentiation of Implicit functions Module 01: Differentiation of Implicit functions Part 1 00:11:00 Module 02: Differentiation of Implicit functions Part 2 00:06:00 Module 03: Differentiation of Implicit functions involving Trig functions-1 00:16:00 Module 04: Differentiation of Implicit functions involving Trig functions-2 00:10:00 Section 10: Logarithmic Differentiation Module 01: Logarithmic Differentiation Part 1 00:13:00 Module 02: Logarithmic Differentiation Part 2 00:07:00 Module 03: Logarithmic Differentiation Part 3 00:13:00 Module 04: Logarithmic Differentiation Part 4 00:08:00 Module 05: Logarithmic Differentiation Part 5 00:10:00 Module 06: Logarithmic Differentiation Part 6 00:09:00 Module 07: Logarithmic Differentiation Part 7 00:11:00 Section 11: Differentiation of Parametric Functions Module 01: Differentiation of Parametric Functions Part 1 00:12:00 Module 02: Differentiation of Parametric Functions Part 2 00:09:00 Module 03: Differentiation of a function w. r. t. another function Part 1 00:11:00 Module 04: Differentiation of a function w. r. t. another function Part 2 00:05:00 Section 12: Differentiation of Higher order derivatives Module 01: Higher order derivatives Part 1 00:09:00 Module 02: Higher order derivatives Part 2 00:04:00 Module 03: Higher order derivatives Part 3 00:10:00 Module 04: Higher order derivatives Part 4 00:09:00 Module 05: Higher Order Derivatives involving Trig Functions 00:06:00 Module 06: Second order derivatives with Parametric functions 00:13:00
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Course Overview A primary school teacher has to teach children, support children's development, and work with the school. Carrying out all these responsibilities can be overwhelming if you don't have the necessary skills. So before you start your journey, train yourself with the Primary School Teacher Training course. It will equip you with the core skills to become a proficient primary teacher. The Primary School Teacher Training course will help you acquire the key skills required to become a primary school teacher. In this course, you will learn about the different types of schools in the UK. The informative modules will educate you on the significance of early years in child development. You will pick up the EYFS teaching techniques. The course will help you develop the ability to teach primary mathematics, English, science and other subjects. In addition, you will acquire the ability to support children with special needs. You will receive a valuable certificate after you complete the Primary School Teacher Training course. This certificate will add weight to your resume and boost your employability. Join today and kick start your career. What You Will Learn Learn about the roles and responsibilities of a primary teacher Enrich your knowledge of different types of schools in the UK Understand the significance of early years in child development Get introduced to EYFS teaching techniques Develop the skills for teaching primary mathematics, English, science and more Build the competence to support children with special needs and disabilities Why Should You Choose this Primary School Teacher Training Lifetime access to the course No hidden fees or exam charges CPD Qualification Standards certification on successful completion Full Tutor support on weekdays (Monday - Friday) Efficient exam system, assessment, and instant results Download Printable PDF certificate immediately after completion Obtain the original print copy of your certificate, dispatch the next working day for as little as £9. Improve your chance of gaining professional skills and better earning potential Who is this Course for? The Primary School Teacher Training course is for those who want to pursue a career in the teaching sector. It will also be suitable for those who are already working as primary school teachers. Requirements Our Primary School Teacher Training course is fully compatible with any kind of device. Whether you are using Windows computers, 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 This Primary School Teacher Training course will assist you in pursuing a career in the relevant fields. Primary School Teacher (Salary Range £24,000-£60,000) Teaching Assistant (Salary Range £20,000-£21,000) Primary School Teacher Training Module 01: Primary Education in the UK 00:36:00 Module 02: Responsibilities, Qualifications and Skills 00:15:00 Module 03: Initial Teacher Training 00:23:00 Module 04: Types of Schools in the UK 00:15:00 Module 05: Importance of Early Years in Development 00:27:00 Module 06: EYFS Teaching Techniques 00:22:00 Module 07: Child Development 00:13:00 Module 08: Teaching Primary English 00:29:00 Module 09: Teaching Primary Mathematics 00:37:00 Module 10: Teaching Primary Science, Design and Technology 00:30:00 Module 11: Teaching Other Primary Subjects 00:28:00 Module 12: Children Having Special Education Needs or Disabilities 00:16:00 Module 13: EYFS Framework in 2021 00:10:00 Module 14: Self-Management and Dealing with Stress 00:13:00
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