Mathematics B (MEI) - H630

Pure Mathematics: Proof

• Proof

  筆記

Pure Mathematics: Algebra

• Algebraic language

  筆記

• Solution of equations

  筆記

• Solution of equations

  筆記

• Inequalities

  筆記

• Surds and indices

  筆記

• Proportion

  筆記

• Polynomials

  筆記

Pure Mathematics: Functions

Pure Mathematics: Graphs

• Graphs

  筆記

• Sketching curves

  筆記

• Transformations

  筆記

Pure Mathematics: Coordinate Geometry

• The coordinate geometry of straight lines

  筆記

• The coordinate geometry of curves

  筆記

Pure Mathematics: Sequences and Series

• Binomial expansions

  筆記

Pure Mathematics: Trigonometry

• Basic trigonometry

  筆記

• Trig. functions

  筆記

• Area of triangle; sine and cosine rules

  筆記

• Identities

  筆記

• Equations

  筆記

Pure Mathematics: Exponentials and Logarithms

• Exponentials and Logarithms

  筆記

• Exponentials and natural logarithms

  筆記

• Exponential growth and decay

  筆記

Pure Mathematics: Calculus

• Basic differentiation

  筆記

• Differentiation of functions

  筆記

• Applications of differentiation to functions and graphs

  筆記

• Integration as reverse of differentiation

  筆記

• Integration to find area under a curve

  筆記

Pure Mathematics: Vectors

• General vectors

  筆記

• Position vectors

  筆記

• Using vectors

  筆記

Statistics: Sampling

• Population and sample

  筆記

• Sampling techniques

  筆記

Statistics: Data representation and interpretation

• Data presentation for single variable

  筆記

• Data presentation

  筆記

• Summary measures

  筆記

Statistics: Probability

• Probability of events in a finite sample space

  筆記

• Probability of two or more events

  筆記

Statistics: Probability Distributions

• Situations leading to a binomial distribution

  筆記

• Calculations relating to binomial distribution

  筆記

• Mean and expected frequencies for binomial distribution

  筆記

• Discrete probability distributions

  筆記

Statistics: Statistical Hypothesis Testing

• Hypothesis testing

  筆記

• Hypothesis testing for a binomial probability p

  筆記

Mechanics: Models and Quantities

• Standard models in mechanics

  筆記

• Units and quantities

  筆記

Mechanics: Kinematics in 1 Dimension

• Motion in 1 dimension

  筆記

• Kinematics graphs

  筆記

• Calculus in kinematics

  筆記

• Constant acceleration formulae

  筆記

• Problem solving

  筆記

Mechanics: Forces

• Identifying and representing forces

  筆記

• Vector treatment of forces

  筆記

• Newton’s laws for a particle

  筆記

• Connected particles

  筆記