Pages: 473

1 - Algebra## XLatest Additions

8129Sequences and Series : Recurrence relations : Exam Question

8055Algebra and Functions : Simultaneous equations : Unique solutions

8054Algebra and Functions : Simultaneous equations : No solutions

8053Algebra and Functions : Simultaneous equations : Simultaneous equations

8052Algebra and Functions : Simultaneous equations : Simultaneous equations

8038Sequences and series : Arithmetic series : Exam Question

8036Exponentials and logs : Logarithms : Exam Question

8022Sequences and series : Geometric series : Exam Question

8015Exponentials and logs : Exponentials : Exam Question

8004Sequences and series : Geometric series : Exam Question

7962Sequences and series : Binomial Expansion : Exam Question

7959Sequences and series : Geometric series : Exam Question

7952Sequences and series : Arithmetic series : Exam Question

7945Sequences and series : Recurrence relations : Exam Question

7933Sequences and series : Binomial Expansion : Exam Question

Symbols are the basic building blocks of mathematics. After you have studied mathematics at advanced level for a while you will come to appreciate that certain symbols tend to mean certain things. For example x and y are used to represent variables, whereas a and b are used to stand for constants. Greek symbols are commonly used too.

Timed Symbols O-test

Greek Symbols O-test

Functions O-test

Numbers O-test

Learn about arithmetic sequences and series, sum of finite arithmetic series, geometric sequences and series, sum of finite and infinite geometric series, the binomial expansion and sigma notation. Find out how to apply these methods to compound interest and population growth.

Examples

Examples 2

Finding a formula

O-test

Randomised Exam Q 2008

Sigma notation

Understanding it

Using it

Using it some more

True or false O-test

Exam O-test

Randomised Exam Q 2002

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2005

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2010

The nth term 4

Sums 3

The nth term

Memorise the formulae

What they are

The nth term 2

The nth term 3

Consecutive numbers

Gauss's method 1

Gauss's method 2

Sums

Sums 2

Sums 4

Insect population

Loan repayments

Fitness campaign

Prove a series

Prove the formula for S

_{n}Sequences on a GDC

Sums on a GDC

True or false

Matching O-test

Timed O-test

O-test 1

O-test 2

Exam O-test 2

Exam O-test 1

Exam O-test 3

Exam O-test 4

Exam O-test 5

Randomised Exam Q 2000

Randomised Exam Q 2002

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

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 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2011

Randomised Exam Q 2011

Randomised Exam Q 2014

Convergence

Divergence

Forming recurrence relations 3

Forming recurrence relations 2

Forming recurrence relations

Forming recurrence relations 4

u

_{n+1}= f(u_{n})Example

Example 2

Example 3

Bird feeder

The Isle of Blight

The Reservoir

Quiz

Using a GDC

Graphing on a GDC

Timed O-test

O-test

Exam O-test 1

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2002

Randomised Exam Q 2003

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2011

Randomised Exam Q 2014

Randomised Exam Q 2014

Randomised Exam Q 2014

Randomised Exam Q 2014

Randomised Exam Q 2015

What they look like

Investigate

nth term

nth term 2

Sum of n terms

Find n

Spreadsheet investigation

Consecutive terms

Depreciation

Interest

Salary increase

Infinite geometric series

Infinite geometric series 2

Infinite geometric series 3

Infinite geometric series 4

Infinite geometric series 5

Recurring decimals 2

Recurring decimals

Recurring decimals 3

Recurring decimals 4

Prove the formula for S

_{n}Memorise the formulae

Sequences on a GDC

Sums on a GDC

Matching quiz

Exam O-test 5

O-test 2

Timed O-test

O-test 1

True or false O-test

O-test 3

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 2002

Randomised Exam Q 2002

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2005

Randomised Exam Q 2005

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

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 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2011

Randomised Exam Q 2014

Randomised Exam Q 2014

Using (a+b)

^{n}Permutations

Factorials 2

Factorials 3

Factorials 4

nCr

nCr 2

nCr 3

nCr 4

nCr 5

nCr 6

nCr 7

(1+x)

^{n}(a+b)

^{n}(a+b)

^{n}2(a+b)

^{n}3(a+b)

^{n}4(a+b)

^{n}5(a+b)

^{n}7Timed O-test

O-test 2

O-test 1

True or false O-test

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam O-test 5

Exam timed O-test

Randomised Exam Q 2000

Randomised Exam Q 2000

Randomised Exam Q 2001

Randomised Exam Q 2002

Randomised Exam Q 2003

Randomised Exam Q 2003

Randomised Exam Q 2003

Randomised Exam Q 2004

Randomised Exam Q 2005

Randomised Exam Q 2005

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2007

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 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2011

Randomised Exam Q 2011

Randomised Exam Q 2014

Division

Imaginary numbers

Sum

Subtraction

Product

Complex conjugate

Calculations

More calculations

Simplifying expressions

Modulus properties

Properties of conjugates

Properties 2

Properties 3

Properties 4

Properties 5

Modulus and conjugate

Calculations on a GDC

O-test

Matching O-test

Sequence O-test

Exam O-test 1

Exam O-test 2

Exam O-test

Exam timed O-test

Randomised Exam Q 2003

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Summary

Definitions

Modulus and argument

Modulus and argument 2

Modulus and argument 3

Addition

Subtraction

Product

Quotient

O-test 1

O-test 2

O-test 3

Randomised Exam Q 2002

Randomised Exam Q 2002

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2007

Randomised Exam Q 2007

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2014

Roots

Polar form

Polar form 2

Polar form 3

Properties of polar form

De Moivre's theorem

Trig identities

Trig identities 2

Trig identities 3

Powers

Roots 2

nth roots 2

nth roots

nth roots of unity

O-test

Randomised Exam Q 2008

Definition

A proof

More proofs

The Mandelbrot set videos

The Mandelbrot set

The Mandelbrot process

Zoom in on The Mandelbrot set

Exponential functions

Exponential equations

Timed O-test

Plotting O-test

O-test

Randomised Exam Q 2007

Randomised Exam Q 2010

Randomised Exam Q 2011

Log bases

Log bases 2

Log bases 3

The laws of logs 2

The laws of logs

The laws of logs 3

Memorise the laws of logs

Change of base

Simplifying

Simplifying 2

Simplifying 3

Simplifying 4

Convert to Y=aX+b

Convert from Y=aX+b

Quiz

Timed O-test

Plotting O-test 1

Plotting O-test 2

True or false O-test 1

Sequence O-test 1

Sequence O-test 2

Plotting O-test 3

True or false O-test 2

Matching O-test

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam timed O-test

Randomised Exam Q 2004

Randomised Exam Q 2007

Randomised Exam Q 2007

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

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2010

Randomised Exam Q 2010

Review the rules

Equations

Equations 2

Equations 3

Equations 4

Simultaneous equations

O-test 2

Linear graphs

Solve by elimination 1

Solve by elimination 2

Solve by elimination 3

Solve by elimination 4

Solve by substitution 1

Solve by substitution 2

Simultaneous equations

Simultaneous equations

No solutions

Unique solutions

Linear equations on a GDC

Linear equations on a GDC 2

O-test 1

O-test 2

Symbols in Proofs

Introduction

Introduction continued

Sum of series

Sum of series 2

Sum of squares

De Moivre's theorem

Sequences

Sequences 2

Divisibility

Factorials

Divisibility 2

Matrices

Matrices 2

O-test

Randomised Exam Q 2005

Randomised Exam Q 2006

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2008

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Randomised Exam Q 2009

Mindmap

Formulae