Algebra: Index Numbers

Reminder of Rules


Recap p.247

Standard Index Form p 249 (Straightforward)
Exercise B p250/251

A-Level: Chain Rule, Product rule, Quotient Rule

Wikibooks
Utube Chain Rule 1
Chain Rule including Trig

Exercise 5A p.105 to 107

Differentiate exponential function and natural logs. Ex 5b, Ex 5c

A-Level:: Formula Sheet

Follow this link - but beware 35 pages long in Pdf - you are principally interested in pages 4 and 5

A-Level:Trigonometric functions Chapter 16

Wikibooks - a good reference for what you must learn, with some worked examples

Unit circle - UTube - watch twice 16A

Radians boring voice but good
What is a radian? How do I convert degrees to radians?
Equivalent angles using trig graphs *****
Solve trig equations - using mode on calculators - degrees or radians
More difficult trig equations using substitution

A-Level: AP, GP & BINOMIAL

Wiki Books for all theory in this topic
Binomial Expansion Chapter 15
Binomial - Maths Net
Some Utube worked examples
Edexcel C2 June 2006 Q1

Arithmetic Series and Geometric Series Chapter 19
GP - Maths Net
Be able to memorise the correct formulas

Sequences and Series
Arithmetic and Geometric series sums and the nth terms With a silly Hat

A-Level: Exponentials and Logarithms

Chapter 18

• This sets out the theory you need to know.
• Wikibooks has a dry presentation
  
• Log functions and exponential functions are inverses of each other. One undoes the other.
• This Utube video is lengthy but very comprehensive. If you watch this a couple of times it should click.
• The graph of y=a^x
  

A-Level: Differentiation (including negative and fractional indices)

Chapter 20 Try this. Notes from MathsRevision.net so worth printing out

• Differentiation
  
• Tangents & Normals
  
• Turning Points
• Second Derivative

You Tube

• AS & A Level Maths No.15 Calculus 1 10 minute introduction (Gradients)
  
• AS & A Level Maths No.16 Calculus 2 rate of change, ds/dt
  
• AS & A Level Maths No.17 Calculus 3 finding the equations of tangents and normals to a curve
• Exercise 20E p.367 (Review) Q all. See the Key points p.369
• Test yourself and Extension Exercise
• Complete sections in Past Examination Questions