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
- 00:00:00 total length
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About Course 00:02:00 -
Quick Guide 00:01:00
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Topics of Essential Revision – 1 00:00:00
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Negative numbers and operations on Integers 00:14:00
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The rules of Indices in Algebra 00:11:00
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Working with indices Part 1 00:10:00
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Working with indices Part 2 00:08:00
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Fractional Indices 00:12:00
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What are Polynomials? 00:07:00
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Writing statements in Algebraic Form 00:06:00
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Simplification using BODMAS 00:08:00
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Distributive Property 00:07:00
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Addition of Algebraic expressions 00:13:00
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Subtraction of Algebraic expressions 00:12:00
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Multiplication of Algebraic Expressions Part 1 00:05:00
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Multiplication of Algebraic Expressions Part 2 00:05:00
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Multiplication of Algebraic Expressions Part 3 00:06:00
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Division of algebraic expressions Part 1 00:11:00
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Division of algebraic expressions Part 2 00:10:00
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Division of algebraic expressions Part 3 00:07:00
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Topics of Essential Revision – 2 00:00:00
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Factorization by method of common factor 00:13:00
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Factorization by regrouping the terms 00:10:00
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Factorization by difference of two squares 00:11:00
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Factorization using identity (a + b) ² and (a – b) ² 00:10:00
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Factorization using identity (a + b + c) ² 00:05:00
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Factorization by middle term split Part 1 00:12:00
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Factorization by middle term split Part 2 00:09:00
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Simultaneous Linear Equations 00:07:00
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Graphical Method 00:06:00
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Graphical method Continued 00:11:00
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Elimination by substitution Method 00:09:00
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Equating the coefficients Method 00:11:00
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Cross Multiplication 00:10:00
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Equations Reducible to Linear Equations-1 00:08:00
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Equations Reducible to Linear Equations-2 00:14:00
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Introduction to Quadratic Equations 00:05:00
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Solving Quadratic Equations by Factorization method 00:09:00
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Writing in completed square form 00:07:00
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Solving by completed square method 00:08:00
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Sketching of Quadratic Graphs 00:12:00
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Quadratic graphs using Transformations 00:06:00
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Quadratic inequalities 00:11:00
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Deriving Quadratic formula 00:05:00
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Solving problems using Quadratic Formula 00:06:00
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Nature of Roots Part – 1 00:05:00
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Nature of roots Part – 2 00:12:00
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Downloadable Resources 00:00:00
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Distance formula 00:18:00
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Mid point formula 00:05:00
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Gradient of a line 00:11:00
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Graphing using gradient and y intercept 00:03:00
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Some standard lines 00:05:00
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Slope intercept form y = m x +c 00:06:00
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Point slope form and two point form 00:11:00
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Intersection of line and parabola 00:10:00
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Past Papers Problems Part 1 00:09:00
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Past Papers Problems Part 2 00:11:00
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Past Papers Problems Part 3 00:09:00
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Past Papers Problems Part 4 00:12:00
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Past Papers Problems Part 5 00:12:00
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Downloadable Resources 00:00:00
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Sequence and series ( video) 00:08:00
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Arithmetic Sequence 00:10:00
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General term of an A.P. 00:07:00
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Finding given term is which term 00:05:00
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Writing sequence when two terms are known 00:08:00
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Condition for three terms to be in A.P. 00:05:00
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Sum to n terms of A.P. 00:06:00
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Practice Problems 1 (A.P.) 00:09:00
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Practice problems 2 (A.P.) 00:07:00
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Practice problems 3 (A.P.) 00:07:00
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Practice problems 4 (A.P.) 00:11:00
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Geometric Progressions 00:12:00
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Sum to n terms in G.P. 00:14:00
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Sum to infinite Terms in G.P. 00:13:00
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Practice Problems 1 (GP) 00:15:00
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Practice Problems 2 (GP) 00:12:00
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Practice Problems 3 (GP) 00:07:00
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Practice Problems based on AP and GP both 00:15:00
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Past papers problems 1 00:17:00
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Past papers problems 2 00:10:00
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Past papers problems 3 00:11:00
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Downloadable Resources 00:00:00
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Geometric Progressions – Resources 00:00:00
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What is Factorial? 00:07:00
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n-choose –r problems 00:07:00
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Properties of n – choose -r 00:05:00
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Binomial Theorem for positive index 00:20:00
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Expanding using Binomial Theorem 00:11:00
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Finding the indicated term in the Binomial expansion 00:11:00
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Finding the indicated term from end 00:09:00
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Finding the coefficient for given exponent (index) of the variable 00:09:00
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Finding the term independent of variable 00:05:00
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Expanding in increasing and decreasing powers of x 00:09:00
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Practice problems 1 00:12:00
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Practice Problems 2 00:09:00
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Practice problems 3 00:10:00
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Past papers problems 1 00:15:00
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Past Paper problems 2 00:13:00
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Past Paper problems 3 00:09:00
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Downloadable Resources 00:00:00
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What is Function? 00:08:00
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Vertical Line Test 00:04:00
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Value of a Function Graphically 00:08:00
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Domain Range of a function Algebraically 00:14:00
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Domain Range of a function Graphically 00:07:00
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Even & Odd Functions 00:07:00
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One to one Function 00:05:00
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Composite Functions 00:09:00
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How to draw Rational Functions- 1 00:05:00
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How to draw Rational Functions- 2 00:10:00
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Inverse of a function Algebraically 00:05:00
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Inverse of a function Graphically 00:09:00
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Practice Problems 1 00:16:00
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Practice Problems 2 00:11:00
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Downloadable Resources 00:00:00
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What is Derivative? 00:08:00
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Derivation of formula for Derivative 00:06:00
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Differentiation by definition or First Principle 00:07:00
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Power Rule 00:22:00
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Practice Problems on Power Rule 1 00:07:00
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Practice Problems on Power Rule 2 00:07:00
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Practice Problems on Power Rule 3 00:05:00
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Practice Problems on Power Rule 4 00:13:00
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Practice Problems on Power Rule 5 00:08:00
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Downloadable Resources 00:00:00
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Tangents and Normals- Basics 00:13:00
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Practice- Tangents and Normals Part 1 00:16:00
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Practice- Tangents and Normals Part 2 00:13:00
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Practice- Tangents and Normals Part 3 00:11:00
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Practice- Tangents and Normals Part 4 00:14:00
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Downloadable Resources 00:00:00
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Stationary Points – Basics 00:13:00
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Practice- Increasing Decreasing & Maxima Minima part 1 00:11:00
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Practice- Increasing Decreasing & Maxima Minima part 2 00:12:00
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Practice- Increasing Decreasing & Maxima Minima part 3 00:10:00
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Downloadable Resources 00:00:00
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Concavity-Basics 00:02:00
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Concavity & Second Derivative 00:08:00
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Second Derivative Test 00:09:00
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Practice Problems on second derivative 00:04:00
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Practice Problem of Maxima Minima using second derivative test Part 1 00:17:00
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Practice Problem of Maxima Minima using second derivative test Part 2 00:10:00
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Practice Problem of Maxima Minima using second derivative test Part 3 00:07:00
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Practice Problem of Maxima Minima using second derivative test Part 4 00:07:00
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Applications of Maxima and Minima Part 1 00:09:00
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Applications of Maxima and Minima Part 2 00:07:00
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Applications of Maxima and Minima Part 3 00:10:00
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Applications of Maxima and Minima Part 4 00:09:00
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Applications of Maxima and Minima Part 5 00:10:00
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Applications of Maxima and Minima Part 6 00:08:00
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Past Paper Problems on applications of maxima and minima Part 1 00:09:00
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Past Paper Problems on applications of maxima and minima Part 2 00:09:00
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Past Paper Problems on applications of maxima and minima Part 3 00:08:00
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Past Paper Problems on applications of maxima and minima Part 4 00:07:00
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Chain Rule 00:12:00
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Rate of change part 1 00:05:00
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Rate of change part 2 00:10:00
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Rate of change part 3 00:07:00
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Past Paper Problems using chain rule -1 00:06:00
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Past Paper Problems using chain rule -2 00:07:00
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Past Paper Problems using chain rule – 3 00:07:00
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Past Paper Problems using chain rule – 4 00:04:00
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Downloadable Resources 00:00:00
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What is Integration? 00:12:00
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Practice Questions 1 00:06:00
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Practice Questions 2 00:09:00
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Practice Questions 3 00:09:00
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Fundamental Theorem of Calculus 00:09:00
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What is Definite Integration? 00:10:00
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Finding Definite Integration 00:09:00
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Practice Questions on Definite Integration 1 00:10:00
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Practice Questions on Definite Integration 2 00:10:00
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Practice Questions on Definite Integration 3 00:15:00
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Area below x-axis 00:12:00
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Practice Problems on Area below x-axis 1 00:11:00
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Practice Problems on Area below x-axis 2 00:13:00
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Practice Problems on Area below x-axis 3 00:09:00
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Practice Problems on Area below x-axis 4 00:07:00
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Area between two curves (Basics) 00:15:00
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Practice Problems on Area between two curves 1 00:06:00
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Practice Problems on Area between two curves 2 00:13:00
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Practice Problems on Area between two curves 3 00:12:00
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Practice Problems on Area between two curves 4 00:10:00
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Practice Problems on Area between two curves 5 00:13:00
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The Reverse Chain Rule- Indefinite Integration 00:06:00
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The Reverse Chain Rule- Definite Integration 00:05:00
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Practice Problems on The Reverse Chain Rule 00:09:00
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Improper Integrals 00:06:00
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Volumes by Integration 00:08:00
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Practice Problems on Volumes by Integration-1 00:04:00
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Practice Problems on Volumes by Integration-2 00:04:00
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This course includes:
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Duration:1 day, 3 hours
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Access:1 year access
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Units:193
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Level:
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CPD Points:10
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Certificate:Yes
