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Pure Mathematics (XPM01)

7セクション

Unit P1: Pure Mathematics 1

Algebra and functions

Coordinate geometry in the (x, y) plane

Differentiation

Unit P2: Pure Mathematics 2

Algebra and functions

Coordinate geometry in the (x, y) plane

Sequences and series

Exponentials and logarithms

Differentiation

Unit P3: Pure Mathematics 3

Algebra and functions

Exponential and logarithms

Differentiation

Numerical methods

Unit P4: Pure Mathematics 4

Algebra and functions

Coordinate geometry in the (x, y) plane

Binomial expansion

Differentiation

Unit FP1: Further Pure Mathematics 1

Complex numbers

Roots of quadratic equations

Numerical solution of equations

Coordinate systems

Matrix algebra integration

Transformations using matrices

Unit FP2: Further Pure Mathematics 2

Further complex numbers

First order differential equations

Second order differential equations

Maclaurin and Taylor series

Polar coordinates

Unit FP3: Further Pure Mathematics 3

Hyperbolic functions

Further coordinate systems

Differentiation

Further matrix algebra

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