Overview This comprehensive course on Mathematics Fundamentals will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Mathematics Fundamentals comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Mathematics Fundamentals. It is available to all students, of all academic backgrounds. Requirements Our Mathematics Fundamentals is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 12 sections • 67 lectures • 07:38:00 total length •Introduction: 00:02:00 •Number system: 00:09:00 •Integers and ordering of integers: 00:07:00 •Addition and Subtractions of Integers: 00:09:00 •Operations on Integers: 00:06:00 •Multiplication and Division of Integers: 00:07:00 •Powers of Integers (Exponents): 00:04:00 •Complete knowledge about factors and multiples: 00:07:00 •Divisibility tests for 2,3,4,5,6: 00:07:00 •Divisibility rules 7,8,9,10,11: 00:11:00 •Prime Factorization: 00:13:00 •Highest common factor HCF: 00:13:00 •Word problems based on HCF A: 00:12:00 •Least common multiple LCM: 00:16:00 •Relation between lcm and HCF A: 00:04:00 •Classification of Fractions: 00:04:00 •Convert mixed to improper and improper to mixed fractions: 00:03:00 •Equivalent Fractions: 00:04:00 •Comparing Fractions after converting to like fractions: 00:09:00 •Reducing a fraction to lowest term: 00:04:00 •Addition and subtraction OF fractions: 00:08:00 •Multiplication and division of fractions: 00:11:00 •Word problems on fractions: 00:16:00 •Bodmas and rules to remove brackets: 00:03:00 •Simplify expressions using BODMAS rules: 00:05:00 •Simplify expressions involving fractions using BODMAS: 00:07:00 •Decimal numbers in relation to fractions: 00:08:00 •Like and unlike Decimals: 00:05:00 •Ordering of Decimal numbers: 00:10:00 •Addition and subtraction of Decimal: 00:07:00 •Multiplication of Decimal: 00:03:00 •Division of Decimal: 00:08:00 •Rational number: 00:02:00 •Representation of Rational Numbers on Number line: 00:05:00 •Determining which fraction is terminating or non-terminating: 00:07:00 •Shortcut method of writing decimal expansion of fraction to decimal A: 00:08:00 •Rounding to whole number: 00:06:00 •Rounding to required number of decimals (1 d.p.): 00:05:00 •Rounding to significant digits: 00:07:00 •Practice question on three methods of approximation: 00:05:00 •Estimation: 00:05:00 •Scientific Notation: 00:07:00 •Operation on numbers when they are in scientific notation: 00:06:00 •Percentage to fraction and fraction to percentage: 00:06:00 •Percentage of a quantity and conversation to decimal: 00:06:00 •Expressing one quantity as percentage of another quantity: 00:06:00 •Finding increase decrease percent: 00:05:00 •Uses of Percentages-Word Problems A: 00:09:00 •Ratio- How to express as simple ratio: 00:09:00 •How to compare Ratios: 00:04:00 •Word problems on finding ratios: 00:07:00 •To divide a given quantity into a given Ratio: 00:11:00 •Proportion: 00:04:00 •Practice problems on Proportion: 00:06:00 •Continued proportion: 00:06:00 •Direct Variation (or proportion): 00:04:00 •Problems based on Direct proportion: 00:10:00 •Inverse Variation (or proportion): 00:10:00 •Multiple Ratios: 00:10:00 •Basics - Profit and Loss: 00:04:00 •More practice problems on Profit _ Loss: 00:06:00 •Selling price formula and Problems: 00:04:00 •Cost price formula and Problems: 00:03:00 •Higher problems on Profit and Loss: 00:08:00 •Basics - Discount: 00:05:00 •Practice problems on Discount: 00:04:00 •Tax: 00:06:00
Overview This comprehensive course on Pure Mathematics Fundamentals will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Pure Mathematics Fundamentals comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Pure Mathematics Fundamentals. It is available to all students, of all academic backgrounds. Requirements Our Pure Mathematics Fundamentals is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 14 sections • 193 lectures • 03:43:00 total length •About Course: 00:02:00 •Quick Guide: 00:01:00 •Topics of Essential Revision - 1: 00:00:00 •Negative numbers and operations on Integers: 00:14:00 •The rules of Indices in Algebra: 00:11:00 •Working with indices Part 1: 00:10:00 •Working with indices Part 2: 00:08:00 •Fractional Indices: 00:12:00 •What are Polynomials?: 00:07:00 •Writing statements in Algebraic Form: 00:06:00 •Simplification using BODMAS: 00:08:00 •Distributive Property: 00:07:00 •Addition of Algebraic expressions: 00:13:00 •Subtraction of Algebraic expressions: 00:12:00 •Multiplication of Algebraic Expressions Part 1: 00:05:00 •Multiplication of Algebraic Expressions Part 2: 00:05:00 •Multiplication of Algebraic Expressions Part 3: 00:06:00 •Division of algebraic expressions Part 1: 00:11:00 •Division of algebraic expressions Part 2: 00:10:00 •Division of algebraic expressions Part 3: 00:07:00 •Topics of Essential Revision - 2: 00:00:00 •Factorization by method of common factor: 00:13:00 •Factorization by regrouping the terms: 00:10:00 •Factorization by difference of two squares: 00:11:00 •Factorization using identity (a + b) ² and (a - b) ²: 00:10:00 •Factorization using identity (a + b + c) ²: 00:05:00 •Factorization by middle term split Part 1: 00:12:00 •Factorization by middle term split Part 2: 00:09:00 •Simultaneous Linear Equations: 00:07:00 •Graphical Method: 00:06:00 •Graphical method Continued: 00:11:00 •Elimination by substitution Method: 00:09:00 •Equating the coefficients Method: 00:11:00 •Cross Multiplication: 00:10:00 •Equations Reducible to Linear Equations-1: 00:08:00 •Equations Reducible to Linear Equations-2: 00:14:00 •Introduction to Quadratic Equations: 00:05:00 •Solving Quadratic Equations by Factorization method: 00:09:00 •Writing in completed square form: 00:07:00 •Solving by completed square method: 00:08:00 •Sketching of Quadratic Graphs: 00:12:00 •Quadratic graphs using Transformations: 00:06:00 •Quadratic inequalities: 00:11:00 •Deriving Quadratic formula: 00:05:00 •Solving problems using Quadratic Formula: 00:06:00 •Nature of Roots Part - 1: 00:05:00 •Nature of roots Part - 2: 00:12:00 •Downloadable Resources: 00:00:00 •Distance formula: 00:18:00 •Mid point formula: 00:05:00 •Gradient of a line: 00:11:00 •Graphing using gradient and y intercept: 00:03:00 •Some standard lines: 00:05:00 •Slope intercept form y = m x +c: 00:06:00 •Point slope form and two point form: 00:11:00 •Intersection of line and parabola: 00:10:00 •Past Papers Problems Part 1: 00:09:00 •Past Papers Problems Part 2: 00:11:00 •Past Papers Problems Part 3: 00:09:00 •Past Papers Problems Part 4: 00:12:00 •Past Papers Problems Part 5: 00:12:00 •Downloadable Resources: 00:00:00 •Sequence and series ( video): 00:08:00 •Arithmetic Sequence: 00:10:00 •General term of an A.P.: 00:07:00 •Finding given term is which term: 00:05:00 •Writing sequence when two terms are known: 00:08:00 •Condition for three terms to be in A.P.: 00:05:00 •Sum to n terms of A.P.: 00:06:00 •Practice Problems 1 (A.P.): 00:09:00 •Practice problems 2 (A.P.): 00:07:00 •Practice problems 3 (A.P.): 00:07:00 •Practice problems 4 (A.P.): 00:11:00 •Geometric Progressions: 00:12:00 •Sum to n terms in G.P.: 00:14:00 •Sum to infinite Terms in G.P.: 00:13:00 •Practice Problems 1 (GP): 00:15:00 •Practice Problems 2 (GP): 00:12:00 •Practice Problems 3 (GP): 00:07:00 •Practice Problems based on AP and GP both: 00:15:00 •Past papers problems 1: 00:17:00 •Past papers problems 2: 00:10:00 •Past papers problems 3: 00:11:00 •Downloadable Resources: 00:00:00 •Geometric Progressions - Resources: 00:00:00 •What is Factorial?: 00:07:00 •n-choose -r problems: 00:07:00 •Properties of n - choose -r: 00:05:00 •Binomial Theorem for positive index: 00:20:00 •Expanding using Binomial Theorem: 00:11:00 •Finding the indicated term in the Binomial expansion: 00:11:00 •Finding the indicated term from end: 00:09:00 •Finding the coefficient for given exponent (index) of the variable: 00:09:00 •Finding the term independent of variable: 00:05:00 •Expanding in increasing and decreasing powers of x: 00:09:00 •Practice problems 1: 00:12:00 •Practice Problems 2: 00:09:00 •Practice problems 3: 00:10:00 •Past papers problems 1: 00:15:00 •Past Paper problems 2: 00:13:00 •Past Paper problems 3: 00:09:00 •Downloadable Resources: 00:00:00 •What is Function?: 00:08:00 •Vertical Line Test: 00:04:00 •Value of a Function Graphically: 00:08:00 •Domain Range of a function Algebraically: 00:14:00 •Domain Range of a function Graphically: 00:07:00 •Even & Odd Functions: 00:07:00 •One to one Function: 00:05:00 •Composite Functions: 00:09:00 •How to draw Rational Functions- 1: 00:05:00 •How to draw Rational Functions- 2: 00:10:00 •Inverse of a function Algebraically: 00:05:00 •Inverse of a function Graphically: 00:09:00 •Practice Problems 1: 00:16:00 •Practice Problems 2: 00:11:00 •Downloadable Resources: 00:00:00 •What is Derivative?: 00:08:00 •Derivation of formula for Derivative: 00:06:00 •Differentiation by definition or First Principle: 00:07:00 •Power Rule: 00:22:00 •Practice Problems on Power Rule 1: 00:07:00 •Practice Problems on Power Rule 2: 00:07:00 •Practice Problems on Power Rule 3: 00:05:00 •Practice Problems on Power Rule 4: 00:13:00 •Practice Problems on Power Rule 5: 00:08:00 •Downloadable Resources: 00:00:00 •Tangents and Normals- Basics: 00:13:00 •Practice- Tangents and Normals Part 1: 00:16:00 •Practice- Tangents and Normals Part 2: 00:13:00 •Practice- Tangents and Normals Part 3: 00:11:00 •Practice- Tangents and Normals Part 4: 00:14:00 •Downloadable Resources: 00:00:00 •Stationary Points - Basics: 00:13:00 •Practice- Increasing Decreasing & Maxima Minima part 1: 00:11:00 •Practice- Increasing Decreasing & Maxima Minima part 2: 00:12:00 •Practice- Increasing Decreasing & Maxima Minima part 3: 00:10:00 •Downloadable Resources: 00:00:00 •Concavity-Basics: 00:02:00 •Concavity & Second Derivative: 00:08:00 •Second Derivative Test: 00:09:00 •Practice Problems on second derivative: 00:04:00 •Practice Problem of Maxima Minima using second derivative test Part 1: 00:17:00 •Practice Problem of Maxima Minima using second derivative test Part 2: 00:10:00 •Practice Problem of Maxima Minima using second derivative test Part 3: 00:07:00 •Practice Problem of Maxima Minima using second derivative test Part 4: 00:07:00 •Applications of Maxima and Minima Part 1: 00:09:00 •Applications of Maxima and Minima Part 2: 00:07:00 •Applications of Maxima and Minima Part 3: 00:10:00 •Applications of Maxima and Minima Part 4: 00:09:00 •Applications of Maxima and Minima Part 5: 00:10:00 •Applications of Maxima and Minima Part 6: 00:08:00 •Past Paper Problems on applications of maxima and minima Part 1: 00:09:00 •Past Paper Problems on applications of maxima and minima Part 2: 00:09:00 •Past Paper Problems on applications of maxima and minima Part 3: 00:08:00 •Past Paper Problems on applications of maxima and minima Part 4: 00:07:00 •Chain Rule: 00:12:00 •Rate of change part 1: 00:05:00 •Rate of change part 2: 00:10:00 •Rate of change part 3: 00:07:00 •Past Paper Problems using chain rule -1: 00:06:00 •Past Paper Problems using chain rule -2: 00:07:00 •Past Paper Problems using chain rule - 3: 00:07:00 •Past Paper Problems using chain rule - 4: 00:04:00 •Downloadable Resources: 00:00:00 •What is Integration?: 00:12:00 •Practice Questions 1: 00:06:00 •Practice Questions 2: 00:09:00 •Practice Questions 3: 00:09:00 •Fundamental Theorem of Calculus: 00:09:00 •What is Definite Integration?: 00:10:00 •Finding Definite Integration: 00:09:00 •Practice Questions on Definite Integration 1: 00:10:00 •Practice Questions on Definite Integration 2: 00:10:00 •Practice Questions on Definite Integration 3: 00:15:00 •Area below x-axis: 00:12:00 •Practice Problems on Area below x-axis 1: 00:11:00 •Practice Problems on Area below x-axis 2: 00:13:00 •Practice Problems on Area below x-axis 3: 00:09:00 •Practice Problems on Area below x-axis 4: 00:07:00 •Area between two curves (Basics): 00:15:00 •Practice Problems on Area between two curves 1: 00:06:00 •Practice Problems on Area between two curves 2: 00:13:00 •Practice Problems on Area between two curves 3: 00:12:00 •Practice Problems on Area between two curves 4: 00:10:00 •Practice Problems on Area between two curves 5: 00:13:00 •The Reverse Chain Rule- Indefinite Integration: 00:06:00 •The Reverse Chain Rule- Definite Integration: 00:05:00 •Practice Problems on The Reverse Chain Rule: 00:09:00 •Improper Integrals: 00:06:00 •Volumes by Integration: 00:08:00 •Practice Problems on Volumes by Integration-1: 00:04:00 •Practice Problems on Volumes by Integration-2: 00:04:00
Overview This comprehensive course on Math Tricks & Shortcuts will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Math Tricks & Shortcuts comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Math Tricks & Shortcuts. It is available to all students, of all academic backgrounds. Requirements Our Math Tricks & Shortcuts is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 15 sections • 90 lectures • 14:24:00 total length •Lecture 1 Introduction: 00:02:00 •Lecture 2 Lines and Angles (Basics): 00:07:00 •Lecture 3 Parallel lines (Basics): 00:06:00 •Lecture 4 Practice Problems 1 (Lines and Angles): 00:06:00 •Lecture 5 Triangles (Basics): 00:11:00 •Lecture 6 Practice Problems 2 (angle sum and exterior angle Property): 00:10:00 •Lecture 7 Pythagoras Theorem: 00:13:00 •Lecture 8 Inequalities in Triangles: 00:06:00 •Lecture 9 Sine and Cosine Rule: 00:12:00 •Lecture 10 Median, Altitude, Angle bisector: 00:06:00 •Lecture 11 Practice Problems 3: 00:11:00 •Lecture 12 Properties of Medians: 00:09:00 •Lecture 13 Practice Problems 4: 00:07:00 •Lecture 14 Properties of Equilateral Triangles: 00:04:00 •Lecture 15 Some special Quadrilaterals: 00:08:00 •Lecture 16 Polygons-interior angles, diagonals etc.: 00:08:00 •Lecture 17 Angle Bisector Theorem: 00:07:00 •Lecture 18 Congruent Triangles: 00:06:00 •Lecture 19 Similar Triangles: 00:14:00 •Lecture 20 Practice Problems 5: 00:10:00 •Lecture 21 Circle: 00:10:00 •Lecture 22 Cyclic Quadrilateral _ Tangent to circle: 00:07:00 •Lecture 23 Areas of Parallelogram & Triangle 1: 00:10:00 •Lecture 24 Areas of Parallelogram _ Triangle 2: 00:10:00 •Lecture 25 Practice Problems based on Areas 1: 00:05:00 •Lecture 26 Practice Problems based on Areas 2: 00:12:00 •Lecture 27 Mensuration Formulae: 00:07:00 •Lecture 28 Practice problems on 2-d figures: 00:11:00 •Lecture 29 Assignment (Video) on 2 - d figure: 00:02:00 •Lecture 30 Areas related to the circle: 00:06:00 •Lecture 31 Practice questions on areas related to circle: 00:10:00 •Practice Test (Geometry): 00:02:00 •Lecture 32 What is Unit Digit: 00:04:00 •Lecture 33 How to find unit digit of numbers with exponents: 00:10:00 •Lecture 34 Practice Problems based on Unit Digit: 00:08:00 •Lecture 35 Simplifications based on Percentages: 00:11:00 •Lecture 36 Simplification based on Exponents: 00:12:00 •Lecture 37 Fastest method of finding square roots: 00:12:00 •Lecture 38 Fastest method of finding cube roots: 00:03:00 •Lecture 39 Simplification based on square and cube roots: 00:16:00 •Lecture 40 Simplification Problems: 00:26:00 •Lecture 41 Simplification problems Type 1: 00:08:00 •Lecture 42 Simplification problems Type 2: 00:08:00 •Lecture 43 Simplification problems Type 3: 00:08:00 •Lecture 44 Simplification problems Type 4: 00:07:00 •Lecture 45 Finding smallest and greatest from difficult exponents: 00:08:00 •Lecture 46 What is Digital sum: 00:05:00 •Lecture 47 How to apply Digital sum technique in different operations: 00:14:00 •Lecture 48 Simplification problems using Digital sum -1: 00:07:00 •Lecture 49 Simplification problems using Digital sum -2: 00:06:00 •Lecture 50 Resources download 1: 00:48:00 •Lecture 51 Problems based on persons, days, work and hours: 00:12:00 •Lecture 52 Short cut formulas for most common problems: 00:11:00 •Lecture 53 Problems based on Two Persons: 00:06:00 •Lecture 54 Problems based on three Persons: 00:10:00 •Lecture 55 Based on Efficiency: 00:13:00 •Lecture 56 Complex problems on Efficiency: 00:10:00 •Lecture 57 Fraction of work: 00:07:00 •Lecture 58 Leaving and Joining - 1: 00:06:00 •Lecture 59 Leaving and Joining - 2: 00:08:00 •Lecture 60 Men, women and boys: 00:05:00 •Lecture 61 Work and wages: 00:11:00 •Lecture 62 Resources download 1: 00:20:00 •Lecture 63 Basics of pipes and cisterns: 00:06:00 •Lecture 64 Pipes and cisterns - Type 1: 00:07:00 •Lecture 65 Pipes and cisterns - Type 2: 00:04:00 •Lecture 66 Pipes and cisterns - Type 3: 00:07:00 •Lecture 67 Pipes and cisterns - Type 4: 00:06:00 •Lecture 68 Pipes and cisterns - Type5: 00:05:00 •Lecture 69 Speed, Distance and Time Resources download: 00:32:00 •Lecture 70 Basic Concepts and simple problems: 00:10:00 •Lecture 71 Problems based on average speed: 00:07:00 •Lecture 72 Problems of finding Distance: 00:13:00 •Lecture 73 Practice Problems 1: 00:10:00 •Lecture 74 Practice Problems 2: 00:08:00 •Lecture 75 Practice Problems 3: 00:07:00 •Lecture 76 Boats and Streams: 00:18:00 •Lecture 77 Basics of Boats and streams: 00:10:00 •Lecture 78 Finding speed of boat or stream: 00:13:00 •Lecture 79 Problems based on finding Distance: 00:06:00 •Lecture 80 Latest Problems on Boat and cisterns: 00:11:00 •Lecture 81 Percentage Basics 1: 00:10:00 •Lecture 82 Percentage Basics 2: 00:04:00 •Lecture 83 Fractional Values of Percentages: 00:09:00 •Lecture 84 Simplification using fractional values of Percentages-1: 00:06:00 •Lecture 85 Simplification problems of Percentage 2: 00:05:00 •Lecture 86 Article for Resources: 00:24:00 •Lecture 87 Problems based on Marks in examination: 00:15:00 •Lecture 88 Problems based on Price and Quantity 1: 00:08:00 •Lecture 89 Problems based on Price and Quantity 2: 00:08:00
Overview This comprehensive course on Advanced Mathematics will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Advanced Mathematics comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Advanced Mathematics. It is available to all students, of all academic backgrounds. Requirements Our Advanced Mathematics is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 8 sections • 30 lectures • 03:23:00 total length •Introduction: 00:01:00 •Introduction to Mathematical Logic, What is Sentence, Statements and their Types: 00:02:00 •Introduction to Logical Connectivity, Tautology, Contradiction, Contingency, Pattern: 00:06:00 •Quantitative and Quantified Statement and types and example: 00:03:00 •Dual: Replacing of Connections and Symbols: 00:02:00 •Negations of Compound Statement, Converse, Inverse, & Contrapositive: 00:03:00 •Algebra of Statements and Law: 00:05:00 •Real Life application of Logic to Switching Electric Circuit: 00:05:00 •Introduction to Matrices, Multiplication and Addition using Matrix: 00:06:00 •Inverse of Matrix Uniqueness of Inverse, Elementary Transformation: 00:09:00 •Method of REDUCTION AND INVERSION with real life example how we can implement: 00:17:00 •Introduction to Trigonometric Function: 00:03:00 •General Solutions and Theorem: 00:10:00 •Solution of Triangle: Polar Co-ordinates: 00:21:00 •Rules and Theorems of Sin Cosine and Tan: 00:22:00 •Introduction & Combined Equations: 00:07:00 •Degrees and Types: 00:13:00 •Some Theorem: 00:17:00 •Introduction - vector Cartesian theorem: 00:02:00 •Cartesian Equation & 2 Point Theorem: 00:03:00 •Theorems & Problem Solving: 00:05:00 •Distance of Point Line: 00:05:00 •Skew Lines: 00:01:00 •Distance of skew lines: 00:03:00 •Distance between parallel lines: 00:02:00 •Equation of Plane and Cartesian Form: 00:10:00 •Linear Programming Introduction: 00:08:00 •Introduction to LPP (Linear Programming Problem): 00:05:00 •LPP Problem Solving: 00:07:00 •Assignment - Advanced Mathematics: 00:00:00
Overview This comprehensive course on Algebra Fundamentals will deepen your understanding on this topic. After successful completion of this course you can acquire the required skills in this sector. This Algebra Fundamentals comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market. So enrol in this course today to fast track your career ladder. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this Algebra Fundamentals. It is available to all students, of all academic backgrounds. Requirements Our Algebra Fundamentals is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 17 sections • 83 lectures • 11:02:00 total length •Lecture 1 Introduction: 00:03:00 •Lecture 2 What is Algebra: 00:02:00 •Lecture 3 Simple Equations: 00:05:00 •Lecture 4 What are Polynomials: 00:04:00 •Lecture 5 Terms in Polynomials: 00:03:00 •Lecture 6 Degree of Polynomials: 00:05:00 •Lecture 7 Writing statements to algebraic form: 00:04:00 •Lecture 8 Integers and common mistakes in solving integers: 00:13:00 •Lecture 9 Arrangement of Terms: 00:07:00 •Lecture 10 Powers on integers: 00:04:00 •Lecture11 Simplification using BODMAS: 00:08:00 •Lecture 12 Distributive Properties in Polynomials: 00:04:00 •Lecture 13 Simplify Polynomials: 00:10:00 •Lecture 14 Additions of Polynomials: 00:06:00 •Lecture 15 Subtractions of Polynomials: 00:10:00 •Lecture 16 The rules of Indices in algebra: 00:11:00 •Lecture 17 Fractional indices: 00:10:00 •Lecture 18 Understanding indices (practice questions): 00:07:00 •Lecture 19 Problems from IGCSE Last year papers: 00:09:00 •Lecture 20 Multiplication of monomial to Polynomial: 00:09:00 •Lecture 21 Multiplication of Polynomial by Polynomial: 00:06:00 •Lecture 22 Division of algebraic expression by a monomial: 00:08:00 •Lecture 23 Division of algebraic expression by another polynomial: 00:09:00 •Lecture 24 Division of a polynomial by another polynomial with remainder: 00:11:00 •Lecture 25 Rules of brackets: 00:04:00 •Lecture 26 Simplification by removing brackets: 00:11:00 •Lecture 27 Simplification of algebraic fractions: 00:07:00 •Lecture 28 Rules to solve linear equations in one variable: 00:03:00 •Lecture 29 Solving linear equations in one variable: 00:07:00 •Lecture 30 Solving complex linear equations in one variable: 00:10:00 •Lecture 31 Word problems on linear equations in one variable: 00:13:00 •Lecture 32 What are Identities?: 00:05:00 •Lecture 33 Identity ( a + b ) ²: 00:13:00 •Lecture 35 Identity a² - b² = (a-b) (a +b ) new: 00:07:00 •Lecture 36 -- Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c old: 00:07:00 •Lecture 37 Identity (x + a) (x + b) Identity Derivation & Application new: 00:08:00 •Lecture 38 Pascal's Triangle _ Identity ( a + b ) ³ new: 00:07:00 •Lecture 39 Identities( a - b ) ³, ( a ³ + b ³) and (a ³ - b ³) new: 00:13:00 •Lecture 40 - Standard Identities a ³ + b ³ + c ³ - 3 a b c: 00:10:00 •Lecture 41 -Changing the subject of formula: 00:08:00 •Lecture 42 - Linear Inequalities: 00:12:00 •Lecture 43 - Factorization by taking out common factor: 00:10:00 •Lecture 44 - Factorization by grouping the terms: 00:09:00 •Lecture 45 - factorize using identity a ² - b ²: 00:07:00 •Lecture 46 - factorize using identity (a + b )² and (a - b )² (2): 00:08:00 •Lecture 47 - factorize using identity ( a + b + c ) ²: 00:05:00 •Lecture 48 - factorization by middle term split: 00:12:00 •Lecture 49 -Simplification of algebraic fractions: 00:06:00 •Lecture 50 All that you need to know about co ordinate axis: 00:04:00 •Lecture 51 Some important facts needed to draw line graph: 00:03:00 •Lecture 52 - How to draw a line graph on coordinate plane: 00:03:00 •Lecture 53 Drawing line graphs: 00:06:00 •Lecture 54 Simultaneous Linear Equations in two variables- intro: 00:03:00 •Lecture 55 Graphical method of solving linear equations: 00:06:00 •Lecture 56 Graphical method - more problems: 00:10:00 •Lecture 57 Method of Elimination by substitution: 00:09:00 •Lecture 58 Method of Elimination by Equating coefficients: 00:11:00 •Lecture 59 Method of Elimination by cross multiplication: 00:07:00 •Lecture 60 Equations reducible to simultaneous linear equations: 00:12:00 •Lecture 61 Word Problems on Linear equations: 00:18:00 •Lecture 62 Polynomials and Zeros of polynomials: 00:10:00 •Lecture 63 Remainder Theorem: 00:04:00 •Lecture 64 Factor Theorem: 00:08:00 •Lecture 65 Practice problems on Remainder and Factor Theorem: 00:09:00 •Lecture 66 Factorization using factor Theorem: 00:10:00 •Lecture 67 Zeros of polynomials α, β & γ: 00:10:00 •Lecture 68 Relation between zeros and coefficients of a polynomials: 00:13:00 •Lecture 69 Finding polynomials if zeros are known: 00:06:00 •Lecture 70 Practice problems on zeros of polynomials: 00:10:00 •Lecture 71Problems solving with α and β (part 1): 00:11:00 •Lecture 72 Problems solving with α and β (part 2): 00:10:00 •Lecture73 what are Quadratic equations: 00:03:00 •Lecture 74 Solutions by factorization method: 00:12:00 •Lecture 75 Solutions by completing square formula: 00:06:00 •Lecture 76 Deriving Quadratic formula: 00:05:00 •Lecture 77 Practice problems by Quadratic formula: 00:07:00 •Lecture 78 Solving complex quadratic equations by Quadratic Formula: 00:11:00 •Lecture 79 Solutions of reducible to Quadratic Formula: 00:09:00 •Lecture 80 Skilled problems on Quadratic Equations: 00:07:00 •Lecture 81 Exponential problems reducible to Quadratic Equations: 00:06:00 •Lecture 82 Nature of Roots of Quadratic Equations: 00:09:00 •Lecture 83 Word problems on quadratic Equations Part 1: 00:13:00 •Lecture 84 Word problems on quadratic Equations Part 2: 00:11:00
Overview Learn how to build a promising and lucrative career by training to become a Computer Programmer without any previous skill needed. This innovative Python Programming for Everybody course delivers the full training needed to secure a future role in IT programming. By utilising the popular Python programming platform and language, you will swiftly learn how to understand the principles of writing programs and using variables in their construction. You will also be taught how to set up conditional and repeated executions in a routine, alongside the ability to recode and reuse other programs for templates or loops. Code yourself a bright future now. How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is this course for? There is no experience or previous qualifications required for enrolment on this Python Programming for Everybody. It is available to all students, of all academic backgrounds. Requirements Our Python Programming for Everybody is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible on tablets and smartphones so you can access your course on wifi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career path Having these various qualifications will increase the value in your CV and open you up to multiple sectors such as Business & Management , Admin, Accountancy & Finance, Secretarial & PA, Teaching & Mentoring etc. Course Curriculum 6 sections • 41 lectures • 08:36:00 total length •A Installing Python: 00:17:00 •Documentation: 00:30:00 •Command Line: 00:17:00 •Variables: 00:29:00 •Simple Python Syntax: 00:15:00 •Keywords: 00:18:00 •Import Module: 00:17:00 •Additional Topics: 00:23:00 •If Elif Else: 00:31:00 •Iterable: 00:10:00 •For: 00:11:00 •Loops: 00:20:00 •Execute: 00:05:00 •Exceptions: 00:18:00 •Data Types: 00:24:00 •Number Types: 00:28:00 •More Number Types: 00:13:00 •Strings: 00:20:00 •More Strings: 00:11:00 •Files: 00:08:00 •Lists: 00:15:00 •Dictionaries: 00:04:00 •Tuples: 00:07:00 •Sets: 00:09:00 •Comprehensions: 00:10:00 •Definitions: 00:02:00 •Functions: 00:06:00 •Default Arguments: 00:06:00 •Doc Strings: 00:06:00 •Variadic Functions: 00:07:00 •Factorial: 00:07:00 •Function Objects: 00:07:00 •Lambda: 00:11:00 •Generators: 00:06:00 •Closures: 00:10:00 •Classes: 00:09:00 •Object Initialization: 00:05:00 •Class Static Members: 00:07:00 •Classic Inheritance: 00:10:00 •Data Hiding: 00:07:00 •Assignment - Python Programming for Everybody: 00:00:00
Overview Embarking on the High School Math course opens doors to a world where numbers and equations form the backbone of countless real-world applications. In an era where data-driven decisions rule, this course stands as a cornerstone for those aspiring to thrive in numerous professional fields. A recent study by the Educational Research Center highlighted that proficiency in high school mathematics is strongly correlated with success in higher education and various career paths. This course not only equips students with fundamental mathematical knowledge but also sharpens analytical and problem-solving skills, making them indispensable in today's competitive landscape. Venture on a journey of mathematical mastery. Enrol in the High School Math course today and unlock the door to a world of opportunities and intellectual growth! How will I get my certificate? You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate. Who is This course for? There is no experience or previous qualifications required for enrolment on this High School Math. It is available to all students, of all academic backgrounds. Requirements Our High School Math is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G. There is no time limit for completing this course, it can be studied in your own time at your own pace. Career Path Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to- Open doors of opportunities Increase your adaptability Keep you relevant Boost confidence And much more! Course Curriculum 12 sections • 136 lectures • 23:03:00 total length •Introduction: 00:03:00 •What is Function?: 00:07:00 •Vertical Line Test: 00:04:00 •Value of a Function Graphically: 00:08:00 •Domain Range of a function Algebraically: 00:13:00 •Domain Range of a function Graphically: 00:06:00 •Even & Odd Functions: 00:07:00 •One to one Function: 00:05:00 •Composite Functions: 00:09:00 •How to draw Rational Functions- 1: 00:04:00 •How to draw Rational Functions- 2: 00:10:00 •Inverse of a function Algebraically: 00:05:00 •Inverse of a function Graphically: 00:09:00 •Practice Problems 1: 00:15:00 •Practice Problems 2: 00:11:00 •Resources Downloads: 00:40:00 •Introduction to Quadratic Equations: 00:04:00 •Solving Quadratic Equations by Factorization method: 00:10:00 •Writing in completed square form: 00:08:00 •Solving by completed square method: 00:08:00 •Sketching of Quadratic Graphs: 00:11:00 •Quadratic graphs using Transformations: 00:06:00 •Quadratic inequalities: 00:11:00 •Deriving Quadratic formula: 00:05:00 •Solving problems using Quadratic Formula: 00:06:00 •Equations reducible to Quadratic: 00:07:00 •Nature of Roots of Quadratic Equations: 00:04:00 •Nature of roots continues: 00:12:00 •Quadratic Equations (Resources): 00:50:00 •Distance formula: 00:15:00 •Mid point formula: 00:05:00 •Gradient of a line: 00:10:00 •Graphing using gradient and y intercept: 00:02:00 •Some standard lines: 00:04:00 •Slope intercept form y = m x +c: 00:05:00 •Intersection of line and parabola: 00:09:00 •Practice Problems from past papers (part 3): 00:12:00 •Sequence and series ( video): 00:08:00 •Arithmetic Sequence: 00:10:00 •General term of an A.P.: 00:07:00 •Finding given term is which term?: 00:05:00 •Writing sequence when two terms are known: 00:08:00 •Condition for three terms to be in A.P.: 00:05:00 •Sum to n terms of A.P.: 00:06:00 •Practice Problems 1 (A.P.): 00:08:00 •Practice problems 3 (A.P.): 00:07:00 •Practice problems 4 (A.P.): 00:10:00 •Geometric Progressions: 00:11:00 •Sum to n terms in G.P.: 00:14:00 •Sum to infinite Terms in G.P.: 00:13:00 •Practice Problems 1 (GP): 00:13:00 •Practice Problems 2 (GP): 00:06:00 •Practice Problems based on AP and GP both: 00:15:00 •Sequence and series Text 1: 00:40:00 •Sequence and series Text 2: 00:55:00 •What is Factorial?: 00:06:00 •n-choose -r problems: 00:06:00 •Properties of n - choose -r: 00:05:00 •Expanding using Binomial Theorem: 00:11:00 •Finding the indicated term in the Binomial expansion: 00:10:00 •Finding the indicated term from end: 00:09:00 •Finding the coefficient for given exponent (index) of the variable: 00:08:00 •Finding the term independent of variable: 00:05:00 •Expanding in increasing and decreasing powers of x: 00:09:00 •Practice problems 1: 00:12:00 •Practice Problems 2: 00:09:00 •Practice problems 3: 00:10:00 •Past papers problems 1: 00:15:00 •Past Paper problems 2: 00:13:00 •Past Paper problems 3: 00:09:00 •Resources in this section: 00:48:00 •What is Derivative?: 00:07:00 •Derivation of formula for Derivative: 00:06:00 •Differentiation by definition or First Principle: 00:06:00 •Power Rule: 00:20:00 •Practice Problems on Power Rule 1: 00:07:00 •Practice Problems on Power Rule 2: 00:07:00 •Practice Problems on Power Rule 3: 00:05:00 •Practice Problems on Power Rule 4: 00:11:00 •Practice Problems on Power Rule 5: 00:07:00 •Tangents and Normals- Basics: 00:12:00 •Practice- Tangents and Normals Part 1: 00:16:00 •Practice- Tangents and Normals Part 2: 00:13:00 •Practice- Tangents and Normals Part 3: 00:11:00 •Practice- Tangents and Normals Part 4: 00:14:00 •Stationary Points - Basics: 00:13:00 •Practice- Increasing Decreasing & Maxima Minima part 1: 00:11:00 •Practice- Increasing Decreasing & Maxima Minima part 2: 00:12:00 •Practice- Increasing Decreasing & Maxima Minima part 3: 00:10:00 •Concavity-Basics: 00:02:00 •Concavity & Second Derivative: 00:08:00 •Second Derivative Test: 00:09:00 •Practice Problems on second derivative: 00:04:00 •Practice Problem of Maxima Minima using second derivative test Part 1: 00:17:00 •Practice Problem of Maxima Minima using second derivative test Part 2: 00:10:00 •Practice Problem of Maxima Minima using second derivative test Part 3: 00:07:00 •Practice Problem of Maxima Minima using second derivative test Part 4: 00:07:00 •Applications of Maxima and Minima Part 1: 00:09:00 •Applications of Maxima and Minima Part 2: 00:07:00 •Applications of Maxima and Minima Part 3: 00:10:00 •Applications of Maxima and Minima Part 4: 00:09:00 •Applications of Maxima and Minima Part 5: 00:10:00 •Applications of Maxima and Minima Part 6: 00:08:00 •Past Paper Problems on applications of maxima and minima Part 1: 00:09:00 •Past Paper Problems on applications of maxima and minima Part 2: 00:09:00 •Past Paper Problems on applications of maxima and minima Part 3: 00:08:00 •Past Paper Problems on applications of maxima and minima Part 4: 00:07:00 •Chain Rule: 00:12:00 •Rate of change part 1: 00:05:00 •Rate of change part 2: 00:10:00 •Rate of change part 3: 00:07:00 •Past Paper Problems using chain rule -1: 00:06:00 •Past Paper Problems using chain rule - 2: 00:07:00 •Past Paper Problems using chain rule 3: 00:07:00 •Past Paper Problems using chain rule -4: 00:04:00 •Graphical Method of solving pair of linear equations: 00:10:00 •Video lecture on Graphical method: 00:05:00 •Method of elimination by substitution: 00:10:00 •Video lecture on substitution method: 00:06:00 •Method of elimination by equating the coefficients: 00:10:00 •Video lecture on equating coefficients method: 00:09:00 •Practice Problems on Linear equation: 00:20:00 •How to take up this course?: 00:10:00 •Background of Algebra: 00:10:00 •Language of Alg ebra: 00:10:00 •Finding Values of algebraic expressions: 00:14:00 •Fractional Indices: 00:10:00 •Higher Indices: 00:07:00 •Rules of Brackets: 00:04:00 •Simplification by removing brackets (BODMAS): 00:11:00 •Simplifications of Algebraic Fractions: 00:07:00 •Solving complex Linear Equations in one variable: 00:10:00 •Factorization by taking out common factor: 00:10:00 •Factorization by grouping the terms: 00:09:00 •Factorize using identity a ² - b ²: 00:07:00 •Factorization by middle term split: 00:12:00
Duration 3 Days 18 CPD hours This course is intended for Channel and Customer Engineers Network Engineer System Engineer Wireless Engineer Consulting Systems Engineer Technical Solutions Architect Network Admisnistrator Wireless Design Engineer Network Manager Channel SEs Sales Engineer Channel AMs Account Manager Overview Upon completing this course, students will be able to meet these objectives: Understand the overall architecture of the Cisco security solutions and how APIs help enable security Understand how to use Cisco Firepower APIs Understand how pxGrid APIs function and their benefits Understand what capabilities the Cisco Stealthwatch APIs offer and construct API requests to them for configuration changes and auditing purposes Understand the features and benefits of using Cisco Stealthwatch Cloud APIs Learn how to use the Cisco Umbrella Investigate API Understand the Functionality provided by Cisco AMP and its APIs Learn how to use Cisco Threat Grid APIs to analyze, search, and dispose of threats This course demonstrates the tools and the benefits of leveraging programmability and automation in Cisco Security Solutions, including Cisco Firepower Management Center, Cisco Firepower Threat Defense, Cisco ISE, Cisco pxGrid, Cisco Stealthwatch Enterprise, Cisco Stealthwatch Cloud, Cisco Umbrella, Cisco AMP, Cisco Threat grid, and Cisco Security Management Appliances. Students will learn how to use the API for each Cisco security solution and specific applications of when the API benefits IT security content. Introducing Cisco Security APIs Role of APIs in Cisco Security Solutions Cisco Firepower, Cisco ISE, Cisco pxGrid, and Cisco Stealthwatch APIs Use cases and security workflow Consuming Cisco Advanced Malware Protection APIs Cisco AMP overview Cisco AMP endpoint API Cisco AMP use cases and workflows Discovery 1: Query Cisco AMP endpoint APIs for verifying compliance Using Cisco ISE Introducing Cisco Identity services engine Cisco ISE use cases Cisco ISE APIs Using Cisco pxGrid APIs Cisco pxGrid overview WebSockets and STOMP messaging protocol Discovery 2: Use the REST API and Cisco pxGrid with Cisco Identity services engine Using Cisco Threat Grid APIs Cisco threat grid overview Cisco threat grid API Cisco threat grid use cases and workflows Discovery 3: Construct a Python script using the Cisco threat grid API Investigating Cisco Umbrella Security Data Programmatically Cisco Umbrella investigate API overview Cisco Umbrella investigate API: Details Discovery 4: Query security data with the Cisco Umbrella investigate API Exploring Cisco Umbrella Reporting and Enforcement APIs Cisco Umbrella reporting and enforcement APIs: Overview Cisco Umbrella reporting and enforcement APIs: Deep dive Discovery 5: Generate reports using the Cisco Umbrella reporting API Automating Security with Cisco Firepower APIs Review basic constructs of Firewall policy management Design policies for automation Cisco FMC APIs in depth Discovery 6: Explore the Cisco Firepower management center API Cisco FTD automation with ansible Discovery 7: Use ansible to automate Cisco Firepower threat defense configuration Cisco FDM API in depth Discovery 8: Automate Firewall policies using the Cisco Firepower device manager API Operationalizing Cisco Stealthwatch and Its API Capabilities Cisco Stealthwatch overview Cisco Stealthwatch APIs: Details Discovery 9: Automate alarm policies and create reports using the Cisco Stealthwatch APIs Using Cisco Stealthwatch Cloud APIs Cisco Stealthwatch Cloud overview Cisco Stealthwatch Cloud APIs: Deep dive Discovery 10: Construct a report using Cisco stealthwatch Cloud APIs Describing Cisco Security Management Appliance APIs Cisco SMA APIs overview Cisco SMA API Discovery 11: Construct reports using Cisco SMA APIs
Duration 3 Days 18 CPD hours This course is intended for This advanced course is for Infrastructure Specialist, Senior Technical Specialist,Technical Specialist, Support Engineers, and System Architects. Overview Understand the MDM Architecture and how the Physical, Virtual and Hybrid MDM handles a service request Understand the core Workbench features available for the InfoSphere MDM Understand how MDM using OSGi for deploying customizations to the product Create a new Physical MDM Entity using the Workbench Wizard Extend an existing Physical MDM Entity using the Workbench Wizard Extend an existing Physical MDM Service using the Workbench Wizard Create a new Composite Service using a transiant object containing other existing business objects Customize and deploy a Virtual configuration Create a new Virtual Callout Handler Create a new Virtual Composite View Generate new Services based on the Virtual configuration (eSOA) Customize a Hybrid MDM implementation Understand the Adaptive Service Interface (ASI) This course is designed for anyone who wants to get an understanding of how to use and customize the InfoSphere Master Data Management using the InfoSphere MDM Workbench InfoSphere MDM Architecture . OSGi and MDM . Data Additions . Physical Data Extensions . MDM Physical Behavior Extensions . Composite Services . Adaptive Services Interface (ASI) . Virtual Data Model . Virtual Handlers . eSOA Toolkit . Hybrid MDM .