Mathematics A - H230
17 个单元 · 59 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
Pure Mathematics: Algebra and Functions
Indices
Surds
Simultaneous equations
Quadratic functions
Inequalities
Polynomials
Curve sketching
Functions
Graph transformations
Pure Mathematics: Coordinate Geometry in the x-y Plane
Straight lines
Circles
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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