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- High School Math (Pure Mathematics 1)

- Level: Intermediate
- Modules: 137 Modules
- Duration: 23 hours, 15 minutes
- Students: 8

Dive into the enthralling world of numbers and equations with “**High School Math (Pure Mathematics 1**),” a course designed to unravel the mysteries of mathematics. Your journey begins with an Introduction that lays the foundation, not just in terms of concepts but igniting a passion for the beauty of math. As you progress, Functions become more than just equations; they turn into a language that describes the universe. Imagine the elegance of Quadratic Equations unfolding before your eyes, revealing patterns and solutions that were once hidden.

Embark on an adventure through Co-ordinate Geometry, where every point and line tells a story of space and dimensions. Sequence and Series will no longer be just about numbers; they will be about the rhythm and flow of mathematical logic. The course takes a deeper dive with the Binomial Theorem, Differentiation, Tangents and Normals, each module building on the last, turning complexity into simplicity. Stationary Points & Curve Sketching, and the Second Derivative Test open new vistas in understanding the nature of graphs. As you master Simultaneous Linear Equations, you’re not just solving problems; you’re unlocking a new perspective on mathematical relationships. The Essential Revision at the end is your bridge to excellence, consolidating your knowledge and skills.

**Learning Outcomes**

- Develop a foundational understanding of key mathematical concepts and functions.
- Master the intricacies of quadratic equations and co-ordinate geometry.
- Explore and apply the principles of sequences, series, and the binomial theorem.
- Gain proficiency in differentiation and its practical applications in tangents and normals.
- Understand and implement techniques in curve sketching, stationary points, and optimisation.

- Unlimited access to the course for a lifetime.
- Opportunity to earn a certificate accredited by the
**CPD Quality Standards**and**CIQ**after completing this course. - Structured lesson planning in line with industry standards.
- Immerse yourself in innovative and captivating course materials and activities.
- Assessments designed to evaluate advanced cognitive abilities and skill proficiency.
- Flexibility to complete the Course at your own pace, on your own schedule.
- Receive full tutor support throughout the week, from Monday to Friday, to enhance your learning experience.
- Unlock career resources for CV improvement, interview readiness, and job success.

- High school students seeking to excel in mathematics.
- Individuals preparing for college-level math courses.
- Math enthusiasts looking to deepen their understanding of pure mathematics.
- Students requiring a comprehensive revision of key mathematical concepts.
- Anyone aspiring to pursue a career involving advanced mathematics.

**Mathematician**: £30,000 – £60,000**Data Analyst**: £25,000 – £50,000**Actuarial Analyst**: £28,000 – £55,000**Research Scientist (Mathematics)**: £32,000 – £60,000**Engineering Consultant**: £27,000 – £55,000**Academic Tutor (Mathematics)**: £24,000 – £40,000

This **High School Math (Pure Mathematics 1)** does not require you to have any prior qualifications or experience. You can just enrol and start learning.This **High School Math (Pure Mathematics 1)** was made by professionals and it is compatible with all PC’s, Mac’s, tablets and smartphones. You will be able to access the course from anywhere at any time as long as you have a good enough internet connection.

After studying the course materials, there will be a written assignment test which you can take at the end of the course. After successfully passing the test you will be able to claim the pdf certificate for £4.99 Original Hard Copy certificates need to be ordered at an additional cost of £8.

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 | 00:40:00 | ||

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) | 00:50:00 | ||

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) | 00:12:00 | ||

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. | 00:13:00 | ||

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 | ||

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 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 | 00:50:00 | ||

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 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 | |||

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 & 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 | ||

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 | 00:20:00 | ||

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 | 00:14:00 | ||

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 |

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