Mathematics A - H230

19 sections available · 75 chapters available

Free Mathematics A - H230 study notes for Cambridge OCR AS Level students. Each chapter covers a key topic with examples and practice prompts you can continue inside the thinka app.

Pure Mathematics: Proof

Pure Mathematics: Algebra and Functions

Statistics

  • Statistical Sampling

  • Data Presentation and Interpretation

  • Probability

  • Statistical Distributions

  • Statistical Hypothesis Testing

Pure Mathematics: Coordinate Geometry in the x-y Plane

Mechanics

  • Quantities and Units in Mechanics

  • Kinematics

  • Forces and Newton’s Laws

Pure Mathematics: Sequences and Series

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

Mechanics: Kinematics

  • Language of kinematics

  • Graphical representation

  • Constant acceleration

  • Non uniform acceleration

Mechanics: Forces and Newton’s Laws

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