High School Pure Mathematics Fundamentals

High School Pure Mathematics Fundamentals

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Course Overview

Become a trained professional from the safety and comfort of your own home by taking High School Pure Mathematics Fundamentals . Whatever your situation and requirements, One Education can supply you with professional teaching, gained from industry experts, and brought to you for a great price with a limited-time discount.

One Education has been proud to produce an extensive range of best-selling courses, and High School Pure Mathematics Fundamentals is one of our best offerings. It is crafted specially to promote easy learning at any location with an online device. Each topic has been separated into digestible portions that can be memorised and understood in the minimum of time. 

Teaching and training are more than just a job for the staff at One Education; we take pride in employing those who share our vision for e-learning and its importance in today’s society. To prove this, all learning materials for each course are available for at least one year after the initial purchase.  

All of our tutors and IT help desk personnel are available to answer any questions regarding your training or any technical difficulties. 

By completing High School Pure Mathematics Fundamentals, you will have automatically earnt an e-certificate that is industry-recognised and will be a great addition to your competencies on your CV.

Whatever your reason for studying High School Pure Mathematics Fundamentals, make the most of this opportunity from One Education and excel in your chosen field.

Please be aware that there are no hidden fees, no sudden exam charges, and no other kind of unexpected payments. All costs will be made very clear before you even attempt to sign up. 

Course design

The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace.

You are taught through a combination of

  • Video lessons
  • Online study materials

Will I receive a certificate of completion?

Upon successful completion, you will qualify for the UK and internationally-recognised CPD accredited certification. You can choose to make your achievement formal by obtaining your PDF Certificate at the cost of £9 and Hard Copy Certificate for £15.

Why study this course

It doesn’t matter if you are an aspiring professional or absolute beginner; this course will enhance your expertise and boost your CV with critical skills and an accredited certification attesting to your knowledge.

The High School Pure Mathematics Fundamentals is fully available to anyone, and no previous qualifications are needed to enrol. All One Education needs to know is that you are eager to learn and are over 16.

Course Curriculum

Introduction
About Course 00:02:00
Quick Guide 00:01:00
Essential Revision-1
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
Essential Revision-2 ( Different Methods Of Factorization)
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
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
Quadratic Equations
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
Co-ordinate Geometry
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
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
Binomial Theorem
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
Functions
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
Derivatives
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
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 & Curve Sketching
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
Second Derivative Test (Maximum & Minimum Points)
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
Integration
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
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