• Professional Development
  • Medicine & Nursing
  • Arts & Crafts
  • Health & Wellbeing
  • Personal Development

Course Images

High School Math (Pure Mathematics 1)

High School Math (Pure Mathematics 1)

By Studyhub UK

4.5(3)
  • 30 Day Money Back Guarantee
  • Completion Certificate
  • 24/7 Technical Support

Highlights

  • On-Demand course

  • 23 hours 15 minutes

  • All levels

Description

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.

Why choose this High School Math (Pure Mathematics 1) course?
  1. Unlimited access to the course for a lifetime.

  1. Opportunity to earn a certificate accredited by the CPD Quality Standards and CIQ after completing this course.

  1. Structured lesson planning in line with industry standards.

  1. Immerse yourself in innovative and captivating course materials and activities.

  1. Assessments designed to evaluate advanced cognitive abilities and skill proficiency.

  1. Flexibility to complete the Course at your own pace, on your own schedule.

  1. Receive full tutor support throughout the week, from Monday to Friday, to enhance your learning experience.

  1. Unlock career resources for CV improvement, interview readiness, and job success.

Who is this High School Math (Pure Mathematics 1) course for?
  • 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.

Career path
  • 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

Prerequisites

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.

Certification

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.

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

00:40:00

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

About The Provider

Studyhub UK
Studyhub UK
London, England
4.5(3)

Studyhub is a premier online learning platform which aims to help individuals worldwide to realise their educational dreams. For 5 years, we have been dedicated...

Read more about Studyhub UK

Tags

Reviews