
Please login to continue

Sign Up For Free
Join the World’s Largest Free Learning Community
This is the name that will appear on your Certification

Forgot password?
Please enter you email address and we will mail you a link to reset your password.
4
Modules
47
Topics
34
hours
Modules (4)
Resources ()

gain an understanding of how numbers are arranged, stored, displayed and used in mathematics.

Module 1
Numbers Part 1
Resources availableIn this module you will learn how to work with and solve number systems including indices, converting decimal numbers to the standard form, multiplying indices, and Argand diagrams.Numbers Part 1  Learning Outcomes
Start TopicLarge Numbers in Standard Form
Start TopicChanging Decimals to Standard Form
Start TopicChanging Large Numbers from Standard Form
Start TopicChanging Small Numbers from Standard Form
Start TopicAdding and Multiplying Simple Powers
Start TopicWorking with Indices
Start TopicNegative Indices
Start TopicFractional Indices, Numerator of 1
Start TopicIndex Power Equal to 0
Start TopicPositive Fractional Indices All Types
Start TopicNegative Fractional Indices
Start TopicWriting Index Numbers as a Power of 2
Start TopicQuadratic Number Patterns
Start TopicNumbers Part 1  Lesson Summary
Start Topic 
Module 2
Numbers Part 2
Resources availableIn this module you will learn more on how to work with number including imaginary numbers, rational & irrational numbers, logarithms, sequences, Proof by induction, and finding cubed roots.Numbers Part 2  Learning Outcomes
Start TopicPatterns with Imaginary Numbers
Start TopicRational or Irrational
Start TopicProof by Contradiction – Root 2 is Irrational
Start TopicFinding the Cube Roots of 8
Start TopicChanging the Base of a Logarithm
Start TopicLogarithmic Equations
Start TopicLimit of Sequences
Start TopicArithmetic Series
Start TopicGeometric Series
Start TopicInfinite Geometric Series  Part 1
Start TopicInfinite Geometric Series  Part 2
Start TopicDeriving Amortisation Formula from Geometric Series
Start TopicProof by Induction – The Sum of the First N Natural Numbers
Start TopicProof by Induction Applied to a Geometric Series
Start TopicFurther Proof by Induction – Multiples of 3
Start TopicFurther Proof by Induction – Factorials and Powers
Start TopicNumbers Part 2  Lesson Summary
Start Topic 
Module 3
Complex Numbers
Resources availableIn this module you will learn to work with complex numbers and what they are, including manipulating complex numbers, the complex conjugate, pattern with imaginary numbers, writing complex numbers in the polar form, De Moive's Theorem, solving quadratic equations, and cubic equations with complex numbers.Complex Numbers  Learning Outcomes
Start TopicManipulating Complex Numbers and The Complex Conjugate
Start TopicThe Argand Diagram and Modulus
Start TopicThe Meaning of i
Start TopicPatterns with Imaginary Numbers
Start TopicWriting Complex Numbers in Polar Form
Start TopicMultiplying and Dividing in Polar Form (Proof)
Start TopicMultiplying and Dividing in Polar Form (Example)
Start TopicProof of De Moivre’s Theorem
Start TopicComplex Numbers When Solving Quadratic Equations
Start TopicCubic Equations with Complex Roots
Start TopicFinding the Cube Roots of 8
Start TopicComplex Numbers  Lesson Summary
Start Topic 
course assessment: Numbers and Sequences in Mathematics

Module 4
Course assessment
Resources available