Mathematics A - H230
19 个单元 · 75 个章节
免费 Mathematics A - H230 学习笔记，适合 Cambridge OCR AS 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
Algebra and Functions
Coordinate Geometry in the x-y Plane
Sequences and Series
Trigonometry
Exponentials and Logarithms
Differentiation
Integration
Vectors
Pure Mathematics: Algebra and Functions
Indices
Surds
Simultaneous equations
Quadratic functions
Inequalities
Polynomials
Curve sketching
Functions
Graph transformations
Statistics
Statistical Sampling
Data Presentation and Interpretation
Probability
Statistical Distributions
Statistical Hypothesis Testing
Pure Mathematics: Coordinate Geometry in the x-y Plane
Straight lines
Circles
Mechanics
Quantities and Units in Mechanics
Kinematics
Forces and Newton’s Laws
Pure Mathematics: Sequences and Series
Binomial expansion
Pure Mathematics: Trigonometry
sin, cos and tan for all arguments
Sine and cosine rules
Graphs of the basic trigonometric functions
Exact values of trigonometric functions
Trigonometric identities
Trigonometric equations
Pure Mathematics: Exponentials and Logarithms
Properties of the exponential function
Gradient of e^(kx)
Properties of the logarithm
Laws of logarithms
Equations involving exponentials
Reduction to linear form
Modelling using exponential functions
Pure Mathematics: Differentiation
Gradients
Differentiation from first principles
Differentiation of standard functions
Tangents, normals, stationary points, increasing and decreasing functions
Pure Mathematics: Integration
Fundamental theorem of calculus
Indefinite integrals
Definite integrals and areas
Pure Mathematics: Vectors
Vectors
Magnitude and direction of vectors
Basic operations on vectors
Distance between points
Problem solving using vectors
Statistics: Statistical Sampling
Statistical sampling
Statistics: Data Presentation and Interpretation
Single variable data
Bivariate data
Measures of average and spread
Calculations of mean and standard deviation
Outliers and cleaning data
Statistics: Probability
Mutually exclusive and independent events
Probability
Statistics: Statistical Distributions
Discrete probability distributions
Statistics: Statistical Hypothesis Testing
The language of hypothesis testing
Hypothesis test for the proportion in a binomial distribution
Mechanics: Quantities and Units in Mechanics
SI units
Mechanics: Kinematics
Language of kinematics
Graphical representation
Constant acceleration
Non uniform acceleration
Mechanics: Forces and Newton’s Laws
Newton’s first law
Newton’s second law
Weight
Newton’s third law
Frictional forces
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