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Mathematics B (MEI) - H630

18個單元

Pure Mathematics: Proof

Pure Mathematics: Algebra

Algebraic language

Solution of equations

Solution of equations

Pure Mathematics: Functions

Pure Mathematics: Graphs

Sketching curves

Transformations

Pure Mathematics: Coordinate Geometry

The coordinate geometry of straight lines

The coordinate geometry of curves

Pure Mathematics: Sequences and Series

Binomial expansions

Pure Mathematics: Trigonometry

Basic trigonometry

Trig. functions

Area of triangle; sine and cosine rules

Pure Mathematics: Exponentials and Logarithms

Exponentials and Logarithms

Exponentials and natural logarithms

Exponential growth and decay

Pure Mathematics: Calculus

Basic differentiation

Differentiation of functions

Applications of differentiation to functions and graphs

Integration as reverse of differentiation

Integration to find area under a curve

Pure Mathematics: Vectors

General vectors

Position vectors

Statistics: Sampling

Population and sample

Sampling techniques

Statistics: Data representation and interpretation

Data presentation for single variable

Data presentation

Summary measures

Statistics: Probability

Probability of events in a finite sample space

Probability of two or more events

Statistics: Probability Distributions

Situations leading to a binomial distribution

Calculations relating to binomial distribution

Mean and expected frequencies for binomial distribution

Discrete probability distributions

Statistics: Statistical Hypothesis Testing

Hypothesis testing

Hypothesis testing for a binomial probability p

Mechanics: Models and Quantities

Standard models in mechanics

Units and quantities

Mechanics: Kinematics in 1 Dimension

Motion in 1 dimension

Kinematics graphs

Calculus in kinematics

Constant acceleration formulae

Problem solving

Mechanics: Forces

Identifying and representing forces

Vector treatment of forces

Newton’s laws for a particle

Connected particles

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