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Learn how to make a genuine difference in your life by taking our popular High School Pure Mathematics Fundamentals Course. Our commitment to online learning and our technical experience has been put to excellent use within the content of these educational modules. By enrolling today, you can take your knowledge of High School Pure Mathematics Fundamentals to a whole new level and quickly reap the rewards of your study in the field you have chosen.
We are confident that you will find the skills and information that you will need to succeed in this area and excel in the eyes of others. Do not rely on substandard training or half-hearted education. Commit to the best, and we will help you reach your full potential whenever and wherever you need us.
Please note that High School Pure Mathematics Fundamentals provides valuable and significant theoretical training for all. However, it does not offer official qualifications for professional practice. Always check details with the appropriate authorities or management.
By completing the training in High School Pure Mathematics Fundamentals, you will be able to significantly demonstrate your acquired abilities and knowledge of High School Pure Mathematics Fundamentals. This can give you an advantage in career progression, job applications, and personal mastery in this area.
This course is designed to provide an introduction to High School Pure Mathematics Fundamentals and offers an excellent way to gain the vital skills and confidence to start a successful career. It also provides access to proven educational knowledge about the subject and will support those wanting to attain personal goals in this area. Full-time and part-time learners are equally supported, and the study periods are entirely customisable to your needs.
Once you have completed all the modules in the High School Pure Mathematics Fundamentals course, you can assess your skills and knowledge with an optional assignment. Our expert trainers will assess your assignment and give you feedback afterwards.
Show off Your New Skills with a Certification of Completion
The learners have to successfully complete the assessment of this High School Pure Mathematics Fundamentals course to achieve the CPD accredited certificate. Digital certificates can be ordered for only £10. Learners can purchase printed hard copies inside the UK for £29, and international students can purchase printed hard copies for £39.
Introduction | |||
About Course | 00:02:00 | ||
Quick Guide | 00:01:00 | ||
Essential Revision-1 | |||
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) | |||
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 | ||
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 | ||
Distance formula | 00:18:00 | ||
Co-ordinate Geometry | |||
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 | 00:13:00 | ||
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 | 00:15:00 | ||
Past papers problems 2 | 00:10:00 | ||
Past papers problems 3 | 00:11:00 | ||
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 | 00:17:00 | ||
Past papers problems 2 | 00:10:00 | ||
Past papers problems 3 | 00:11:00 | ||
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 | 00:12:00 | ||
Practice Problems 2 | 00:11:00 | ||
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 | ||
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 | ||
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 | ||
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 | ||
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 | 00:06:00 | ||
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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