Description
Number and algebra
- Complex roots of polynomial equations
Functions
- Concept of a function
- The graph of a function
- Composite functions
- Points of intersection
- Rational functions
- Asymptotes
- Quadratic functions, discriminant
- Exponential and logarithmic functions
- Transformation of functions
- The factor theorem
- Sum and product of roots of polynomial equations
Geometry and Trigonometry
- Radian measure
- Reciprocal trigonometric ratios
- Inverse trigonometric functions
- Solving trigonometric equations
- The concept of a vector
- Magnitude of a vector
- Scalar product
- Area of a parallelogram
Statistics and Probability
- Linear correlation
- Pearson’s product-moment correlation coefficient
- Equation of regression line y on x
- Predictions
- Probability of combined events
- The normal distribution
- Inverse normal calculations
- Discrete random variables and probability distributions
- Continuous random variables and probability distributions, mean and variance
- The binomial distribution
Calculus
- Differentiation
- Area between two curves
- First order differential equations
- Separation of variables
- Limits
- Points of inflexion
- Derivatives of inverse trigonometric functions
- Chain rule
- Optimization
- Volumes of revolution
