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Further Mathematics (XFM01)

10个单元

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

Unit M1: Mechanics 1

Mathematical models in mechanics

Vectors in mechanics

Kinematics of a particle moving in a straight line

Dynamics of a particle moving in a straight line or plane

Statics of a particle

Unit M2: Mechanics 2

Kinematics of a particle moving in a straight line or plane

Centres of mass

Work and energy

Statics of rigid bodies

Unit M3: Mechanics 3

Further kinematics

Elastic strings and springs

Further dynamics

Motion in a circle

Statics of rigid bodies

Unit S1: Statistics 1

Mathematical models in probability and statistics

Representation and summary of data

Correlation and regression

Discrete random variables

The Normal distribution

Unit S2: Statistics 2

The Binomial and Poisson distributions

Continuous random variables

Continuous distributions

Hypothesis tests

Unit S3: Statistics 3

Combinations of random variables

Estimation, confidence intervals and tests

Goodness of fit and contingency tables

Regression and correlation

Unit D1: Decision Mathematics 1

Algorithms on graphs

Algorithms on graphs II

Critical path analysis

Linear programming

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