Pure Mathematics Fundamentals

Description

This comprehensive course on Pure Mathematics Fundamentals will deepen your understanding on this topic.

After successful completion of this course you can acquire the required skills in this sector. This Pure Mathematics Fundamentals comes with accredited certification from CPD, which will enhance your CV and make you worthy in the job market.

So enrol in this course today to fast track your career ladder.

You may have to take a quiz or a written test online during or after the course. After successfully completing the course, you will be eligible for the certificate.

There is no experience or previous qualifications required for enrolment on this Pure Mathematics Fundamentals. It is available to all students, of all academic backgrounds.

Our Pure Mathematics Fundamentals is fully compatible with PC's, Mac's, Laptop, Tablet and Smartphone devices. This course has been designed to be fully compatible with tablets and smartphones so you can access your course on Wi-Fi, 3G or 4G.

There is no time limit for completing this course, it can be studied in your own time at your own pace.

Learning this new skill will help you to advance in your career. It will diversify your job options and help you develop new techniques to keep up with the fast-changing world. This skillset will help you to-

And much more!

14 sections • 193 lectures • 03:43:00 total length

•About Course: 00:02:00

•Quick Guide: 00:01:00

•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

•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: 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

•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

•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 ( 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

•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

•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

•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- 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 - 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

•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

•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