Maths: Analysis and Approaches: every topic explained
29 short explanations for Maths: Analysis and Approaches, one per syllabus topic: the idea, the rules, the common mistake and a worked example. Each one links to our notes and a free test on that topic.
Free Maths: Analysis and Approaches testMaths: Analysis and Approaches notes
Number and algebra
- Arithmetic sequences and series
- Geometric sequences, series and financial applications
- Standard form, exponents and logarithms
- Simple deductive proof
- The binomial theorem
Functions
- Equations of straight lines
- Functions, graphs, composites and inverses
- Quadratic functions, equations and inequalities
- Reciprocal and rational functions
- Exponential and logarithmic functions; solving equations
- Transformations of graphs
Geometry and trigonometry
- Three-dimensional geometry
- Trigonometry of triangles and its applications
- Radians, the unit circle and exact values
- Trigonometric identities and equations
- Circular functions and their graphs
Statistics and probability
- Collecting data and sampling
- Presenting and summarising data
- Correlation and regression
- Probability and combined events
- Conditional probability and independence
- Discrete random variables and the binomial distribution
- The normal distribution
Calculus
- Introduction to differentiation, tangents and normals
- Further differentiation
- Second derivative, stationary points and optimisation
- Anti-differentiation and indefinite integrals
- Definite integrals and areas
- Kinematics
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