Description
Number and algebra
- Operations with numbers in standard form
- Complex numbers
- Exponential form of a complex number
- Conversion between forms of a complex number
- Geometric interpretation of complex numbers
Functions
- Points of intersection
- Exponential growth and decay models
- Quadratic models
- The parameters of a model
- Piecewise models
Geometry and trigonometry
- Distance between points in three-dimensional space
- Use of sine, cosine, tangent ratios in right-angled triangles
- The cosine rule
- Area of a triangle
- Applications of trigonometry
- Area of a sector
- Geometric transformations using matrices
- Concept of a vector
- Vector product and geometrical interpretation
- Graph theory
- Directed graphs
- Walks
- Eulerian trails and circuits
Statistics and probability
- Interpretation of outliers
- Cumulative frequency graphs
- Measures of dispersion
- The binomial distribution
- The normal distribution
- Chi-squared test for independence
- Non-linear regression
- Sum of square residuals
- Linear combinations of random variables
- Critical regions, hypothesis testing, type II errors
Calculus
- Derivatives
- Tangents
- Volumes of revolution
- Exact solutions and future paths of coupled systems