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AM3## XLatest Additions

8006Numerical Methods : Iterative methods : Exam Question

7997Vectors : Vector algebra : Exam Question

7985Numerical Methods : Iterative methods : Exam Question

7910Vectors : Vector algebra : Exam Question

7904Numerical Methods : Iterative methods : Exam Question

7821Numerical Methods : Iterative methods : Exam timed O-test

7798Vectors : Vector algebra : Exam timed O-test

7675Vectors : Vector algebra : Equations of lines 5

7631Numerical Methods : Iterative methods : Cobweb diagrams 4

7630Numerical Methods : Iterative methods : Cobweb diagrams 3

7629Numerical Methods : Iterative methods : Cobweb diagrams 2

7520Maclaurin and Taylor Series : Maclaurin series : Exam Question

7517Maclaurin and Taylor Series : Maclaurin series : Exam Question

7513Maclaurin and Taylor Series : Maclaurin series : Exam Question

7512Maclaurin and Taylor Series : Maclaurin series : Exam Question

Definition

Illustration

Perpendicular unit vectors

Properties

Properties 2

Properties 3

Angle between two vectors

Area of triangle

Area of parallelogram

Equations of lines

Direction ratio form

Direction ratio form 2

O-test 1

O-test 2

O-test 3

Randomised Exam Q 2008

Randomised Exam Q 2008

Visualizing

Visualizing 2

Visualizing 3

Equation of a plane

Equation of a plane 2

Vector equation of a plane

Equation of a plane 3

Vector equation of a plane 2

Perpendiculars to planes

Angle between planes

Perpendicular distance

Line of intersection

Point of intersection

Point of intersection 2

Line in plane

O-test 1

O-test 2

O-test 3

Exam O-test

Randomised Exam Q 2005

Randomised Exam Q 2007

Randomised Exam Q 2008

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Definition

Definition 2

Volume 2

Volumes

Volume of tetrahedra

Volume of pyramids

Volume of triangular prisms

Intersecting lines

Intersecting lines 2

Shortest distance between lines

Coplanar points

Coplanar vectors

O-test 1

O-test 2

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2002

Intersection with a circle

Equations of lines

Equations of lines 2

Equations of lines 3

Equations of lines 4

Equations of lines 5

Intersecting lines

Angle between 2D lines

Angle between 2D lines 2

Angle between 3D lines

Foot of perpendicular

Perpendicular lines

Perpendicular lines 2

Extended problem 1

Extended problem 2

O-test 3

O-test 4

Exam O-test 1

Exam O-test 3

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2002

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2005

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Randomised Exam Q 2010

Randomised Exam Q 2011

Randomised Exam Q 2014

Determinants

Adding and subtracting matrices

Multiplying matrices

Football scores

Revenue

Inverses and determinants

Adding matrices on a GDC

Determinant on a GDC

Multiplying matrices on a GDC

Randomised Exam Q 2008

Randomised Exam Q 2009

Inverses

Determinants

Determinants 2

Determinants 3

Determinants 4

Determinants 5

Inverses 2

Inverses 3

Inverses 4

Inverses 5

Inverses 6

Inverses 7

Property of Inverses

O-test 2

O-test 3

O-test 4

Exam O-test

Randomised Exam Q 2005

Randomised Exam Q 2006

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Adding matrices

Subtracting matrices

Sums and products

Adding matrices 2

Adding matrices 3

Multiplying matrices

Multiplying matrices 2

Multiplying matrices 3

Multiplying matrices 4

Multiplying matrices 5

Multiplying matrices 6

Multiplying matrices 7

Multiplying matrices 8

The identity matrix

Multiplying by a scalar

Multiplying by a scalar 2

Multiplying by a scalar 3

Using scalars

Commutativity

Associativity

Distributivity

O-test 1

O-test 2

O-test 3

O-test 4

O-test 5

O-test 6

O-test 7

Exam O-test

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

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Simultaneous equations

Simultaneous equations 2

Cramer's Rule

Randomised Exam Q 2007

Randomised Exam Q 2008

Matrix equations

Matrix equations 2

Matrix equations 3

Matrix equations 4

Matrix equations 5

Matrix equations 6

Matrix equations 7

O-test

Exam O-test

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2009

Various transformations

Various 2

Various 3

Find the matrix

Find the matrix 5

Find the matrix 6

Find the matrix 7

Find the matrix 8

Find the matrix 9

Enlargements

Find the matrix 10

Rotations

Reflections

Quick O-test

O-test 2

O-test 3

O-test 4

Matching O-test

Exam O-test

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

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Randomised Exam Q 2009

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Randomised Exam Q 2014

Visual

Find the matrices

Find the matrices 2

Find the matrices 3

Example

Rotations

Enlargements

O-test

Transformations Example 1

Example 4

Example 2

Example 3

O-test 5

Transforming Coordinates Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Find the matrix

Invariant points

Invariant points 2

Invariant points 3

Invariant points 4

Invariant lines 2

Transforming the plane

O-test 1

O-test 2

O-test 3

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2008

e

^{x}Higher derivatives

e

^{ax}sin x

sin ax

cos x

cos ax

tan x

ln(1+x)

ln(1+x

^{n})cosh x

sinh x

binomial

Using series

Using series 2

Using series 3

Using series 4

Finding approximations

Finding approximations 2

Finding approximations 3

Finding approximations 4

Compare approximations

Compare approximations 2

Finding definite integrals

Finding definite integrals 2

Finding definite integrals 3

Finding definite integrals 4

O-test

Exam O-test

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Introduction

e

^{x}sin x

cos x

ln(x+1)

arc tan x

Hyperbolic functions

MIT video: Taylor series

Visualizing

Visualizing 2

Visualizing 3

ln x

e

^{x}1/x

O-test

Randomised Exam Q 2006

Randomised Exam Q 2008

Example 3

Cobweb diagrams 4

Cobweb diagrams 3

Cobweb diagrams 2

Graphical illustration

Rearranging equations

Rearranging equations 2

Rearranging equations 3

Rearranging equations 4

Example 1

Example 2

Cobweb diagrams

x

_{n+1}=x_{n}²-ax

_{n+1}=rx_{n}(1-x_{n})Using a spreadsheet

Xtra

Using a GDC

Checking on a GDC

O-test 1

O-test 2

Convergence O-test

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2004

Randomised Exam Q 2005

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Randomised Exam Q 2011

Randomised Exam Q 2014

Exact equations

Exact equations 2

Integrating factors 1

Example 2

Example 3

Example 4

Example 5

Example 6

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2002

Randomised Exam Q 2005

Randomised Exam Q 2007

Randomised Exam Q 2008

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Distinct roots

Distinct roots 2

Equal roots

Complex roots

Graphs of solutions

Graphs of solutions 2

Graphs of solutions 3

Graphs of solutions 4

Graphs of solutions 5

O-test 1

O-test 2

Example 1

Example 3

Example 2

O-test

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2003

Randomised Exam Q 2006

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Linear

Quadratic

Cubic

Exponential

Trigonometrical

Trigonometrical 2

Linear combination

The failure case

O-test 1

O-test 2

O-test 3

O-test 4

MIT video: ODE methods

Example 1

Example 2

Example 6

Sum of squares

Divisibility

Divisibility 2

Matrices

Matrices 2

Randomised Exam Q 2006

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Summation formulae

Summation formulae 2

Summation formulae 3

Summation formulae 4

Summation formulae 5

Summation formulae 6

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2006

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2014

Randomised Exam Q 2014

Randomised Exam Q 2014

Rule 1

Rule 2

Rule 3

Rule 4

Remainders

The division algorithm

Division algorithm extended

Division algorithm extended 2

Division algorithm extended 3

GCD

Euclid's Algorithm for GCD

LCM

LCM using the GCD

Relatively prime numbers

Relatively prime numbers 2

GCD and LCM on a GDC

O-test 1

O-test 2

Exam O-test

Randomised Exam Q 2007

Randomised Exam Q 2009

Addition

Multiplication

Linear congruences

Linear congruences 2

Other congruences

Fermat's little theorem

Convert to base ten

Convert to base ten 2

Binary to base ten 2

Convert from base ten

Addition

Subtraction

Multiplication

Perfect cube

Exam O-test

Randomised Exam Q 2006

Mindmap