Cambridge International Examinations (CIE)

AS Pure Mathematics - P2

This is only to be used as a rough guide and is not the official specification

2. Logarithmic
and exponential
functions

Exponential functions

Logarithms

Exponential Function ex

Natural Log Functions

Modelling Curves of the form y=kxn and y=kax

3. Trigonometry

Secant, Cosecant and Cotangent

Identities

 

 

Solving Equations using:

  • the identities : sin²x + cos²x ≡1 ; 1 + tan²x ≡ sec²x ; 1 + cot²x ≡ cosec²x
    • Examples: 1 | 2 | 3

 

  • the identities for sin2A, cos2A and tan2A
    • Examples: 1 | 2 | 3

 

Miscellaneous Exam Practice

5. Integration

(ax+b)n types

The exponential functions : ex, eax and e(ax+b)

Reciprocal Functions : 1/x and 1/(ax+b)

Integrals of the form : f'(x)/f(x)

Integrals of the form : f'(x)ef(x)

Trigonometric types

Trapezium Rule

6. Numerical
solution of
equations

Specification and Modules

Specification

P1 | P2 | P3 | M1 | M2 | S1 | S2

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