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Mathematics (YMA01)

9個單元

Unit P1: Pure Mathematics 1

Algebra and functions
Coordinate geometry in the (x, y) plane
Trigonometry
Differentiation
Integration

Unit P2: Pure Mathematics 2

Proof
Algebra and functions
Coordinate geometry in the (x, y) plane
Sequences and series
Exponentials and logarithms
Trigonometry
Differentiation
Integration

Unit P3: Pure Mathematics 3

Algebra and functions
Trigonometry
Exponential and logarithms
Differentiation
Integration
Numerical methods

Unit P4: Pure Mathematics 4

Proof
Algebra and functions
Coordinate geometry in the (x, y) plane
Binomial expansion
Differentiation
Integration
Vectors

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
Moments

Unit M2: Mechanics 2

Kinematics of a particle moving in a straight line or plane
Centres of mass
Work and energy
Collisions
Statics of rigid bodies

Unit S1: Statistics 1

Mathematical models in probability and statistics
Representation and summary of data
Probability
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 D1: Decision Mathematics 1

Algorithms
Algorithms on graphs
Algorithms on graphs II
Critical path analysis
Linear programming

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