Mathematics B (MEI) - H640
21 个单元 · 83 个章节
免费 Mathematics B (MEI) - H640 学习笔记，适合 Cambridge OCR A Level 学生。每个章节都覆盖一个重点主题，并附例题与可延伸到 thinka app 的练习提示。
Pure Mathematics: Proof
Proof
Pure Mathematics: Algebra
Algebraic language
Solution of equations
Inequalities
Surds Indices
Proportion
Partial fractions
Rational expressions
Pure Mathematics: Functions
Polynomials
The language of functions
The modulus function
Modelling
Pure Mathematics: Graphs
Sketching curves
Transformations
Pure Mathematics: Coordinate Geometry
The coordinate geometry of straight lines
The coordinate geometry of curves
Parametric equations
Pure Mathematics: Sequences and Series
Binomial expansions
Sequences
Arithmetic series
Geometric series
Modelling
Pure Mathematics: Trigonometry
Basic trigonometry
Trig. functions
Area of triangle; sine and cosine rules
Identities
Equations
Radians
Secant, cosecant and cotangent
Compound angle formulae
Proofs and problems
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
Product, quotient and chain rules
Implicit differentiation
Integration as reverse of differentiation
Integration to find area under a curve
Integration by substitution
Integration by parts
Partial fractions
Differential equations
Pure Mathematics: Numerical Methods
Solution of equations
Integration
Problem solving
Pure Mathematics: Vectors
General vectors
Position vectors
Using 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
Conditional probability
Statistics: Probability Distributions
Situations leading to a binomial distribution
Calculations relating to binomial distribution
Mean and expected frequencies for binomial distribution
Discrete probability distributions
Normal distribution
Modelling with probability
Statistics: Statistical Hypothesis Testing
Hypothesis testing for a binomial probability p
Hypothesis testing for a mean using Normal distribution
Informal hypothesis testing for correlation/ association
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
Motion in 2 dimensions
Motion under gravity in 2 dimensions
Mechanics: Forces
Identifying and representing forces
Vector treatment of forces
Frictional force and normal contact force
Mechanics: Newton's Laws of Motion
Newton’s laws for a particle
Connected particles
Mechanics: Rigid Bodies
Rigid bodies in equilibrium
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