TSR Wiki > Study Help > Subjects and Revision > Mathematics > Mathematics A Level > Maths A Level C2


Contents

Textbook Questions

Chapter 3 - Logarithms:

  • Ex 3G - 10 // Old Link

Chapter 6 - Radians:

  • Ex 6D - 2

Chapter 11 - Integration:

  • Ex 11C - 5

Your question not answered? Go post it in the Maths Forum.

TSR Revision

How TSR revised for this exam in June 2005 and how TSR reacted to the paper. TSR also revised for the paper in January 2006.

Also, take a look at the mathematics revision notes section of this wiki!

Textbook

Studying on your own? Grab the textbook from Amazon and the revision book for more practice.

Learning Objective and Topics

The contents and objectives for the Core 2 module does vary slightly from exam board to exam board. Below is a list of most of the topics covered in Core 2 modules. Not every topic will in all exam boards core 2 and some small topics may be missing - see Core 1, 3 or 4 pages for these other topics.


Algebra and functions

Pupils should be able to:

  • know an understand exponential functions
  • sketch the graphs of exponential functions
  • know and understand the laws of logarithms
  • use logs to solve equations of the form ax = b

Topic list:

  • exponential functions and their graphs
  • logarithms and Laws of Logarithms
  • solving equations of the form ax = b

Sequences and Series

Pupils should be able to:

  • understand and recognise the different ways of describing a sequence and the different notation used
  • understand series notation
  • recognise arithmetic and geometric progressions and work out the sum of their series
  • discover if an infinite term geometric progression is finite or infinite and calculate the value if it is finite
  • understand and use the binomial expansion

Topic list:

  • sequences and sequence notation
    • recurrence relations
    • arithmetic progressions
    • geometric progressions
    • common ratios
  • series notation
    • arithmetic series
    • geometric series (including the sum to infinity formula)
  • factorials and nCr notation
  • the Binomial expansion

Trigonometry

Pupils should be able to:

  • state the exact values of sine, cosine and tangent for certain values
  • sketch and know the properties of sine, cosine and tangent functions
  • know the sine and cosine rules and use them to solve triangles
  • know an use the formula for the area of a triangle
  • understand the radian measure for angles and us it to calculate arc length and sector areas
  • solve trigonometric equations (in degrees and radians) for specified intervals

Topic list:

  • sine, cosine and tangent of special angles
  • graphs of the sine, cosine and tangent functions
  • transformation of trigonometric functions
  • the sine rule
  • the cosine rule
  • formula for the area of triangle (using sine)
  • radians
  • arc length and area of sectors via radian measure
  • solving trigonometric functions in degrees
  • solving trigonometric functions in radian
  • trigonometric identities
  • integration, indefinite integrals and constants of integration

Differentiation and Integration

Pupils should be able to:

  • differentiate a larger number of functions
  • find the indefinite integral of a larger number of functions
  • evaluate definite integrals
  • find the area under a curve
  • use and understand the trapezium rule

Topic list:

  • differentiation and the derivative (gradient function)
  • integration, indefinite integrals and constants of integration
  • definite integration and limits of integration
  • finding the area under a curve
  • The trapezium rule – a numerical integration technique

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