Key features of the High School Math (Pure Mathematics 1)
- Recognised qualification upon successful completion of the course
- Study from anywhere, anytime, whenever it is convenient for you.
- Get 24/7 support from our Customer Success Team
- Affordable and engaging e-learning study materials
- Study at your own pace from a tablet, PC or smartphone
- Online tutor support when you are in need.
Who is this course for?
There is no experience or previous qualifications required for enrolment on this course. It is available to all students, of all academic backgrounds.
Requirements
Our High School Math (Pure Mathematics 1) is fully compatible with any kind of device. Whether you are using Windows computer, 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
After completing this course you will be able to build up accurate knowledge and skills with proper confidence to enrich yourself and brighten up your career in the relevant job market.
Course Curriculum
| Introduction | |||
| Introduction | 00:03:00 | ||
| Functions | |||
| 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 | 00:15:00 | ||
| Practice Problems | 00:11:00 | ||
| Resources Downloads | 00:26:00 | ||
| Quadratic Equations | |||
| 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) | 00:40:00 | ||
| Co-ordinate Geometry | |||
| 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 | ||
| Point slope form and two point form | 00:10:00 | ||
| Intersection of line and parabola | 00:09:00 | ||
| Practice Problems from past papers (part 3) | 00:11:00 | ||
| 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.) | 00:08:00 | ||
| 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. | 00:12:00 | ||
| Practice Problems | 00:13:00 | ||
| Practice Problems | 00:06:00 | ||
| Practice Problems based on AP and GP both | 00:15:00 | ||
| Sequence and series Text 1 | 00:48:00 | ||
| Sequence and series Text 2 | 00:48:00 | ||
| Binomial Theorem | |||
| 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 | 00:13:00 | ||
| Practice Problems | 00:06:00 | ||
| Practice problems | 00:10:00 | ||
| Past papers problems | 00:15:00 | ||
| Past Paper problems | 00:13:00 | ||
| Past Paper problems | 00:09:00 | ||
| Resources in this section | 00:48:00 | ||
| Differentiation | |||
| 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 | 00:07:00 | ||
| Practice Problems on Power Rule | 00:07:00 | ||
| Practice Problems on Power Rule | 00:04:00 | ||
| Practice Problems on Power Rule | 00:11:00 | ||
| Practice Problems on Power Rule | 00:07:00 | ||
| Tangents and Normals | |||
| 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 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 | 00:06:00 | ||
| 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 | ||
| Simultaneous Linear equations | |||
| 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 | 00:10:00 | ||
| Essential Revision | |||
| 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 | 00:01:00 | ||
| 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 | ||
| Certificate and Transcript | |||
| Order Your Certificates or Transcripts | 00:00:00 | ||
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