Pure Mathematics topics covered:
Surds, indices, and logarithms
Functions, including exponential and logarithmic
Polynomials, partial fractions, and rational expressions
Quadratic equations and properties of roots
Sequences and series (arithmetic and geometric)
Permutations, combinations, and probability
Straight line geometry and linear laws
Trigonometric functions, identities, and equations
Curve sketching and inequalities
Differentiation and its applications
Integration and its applications
Simple differential equations (first order, separable)
Matrices and linear transformations
Learning Outcomes:
Students are expected to demonstrate understanding of key mathematical concepts, apply standard techniques to solve problems, and reason logically through mathematical arguments. They should be able to use functions, calculus, algebraic methods, and geometry effectively. Competence in using calculators and formula booklets, as well as applying mathematics in real-life contexts, is also developed.
This material follows the official Intermediate Level Pure Mathematics syllabus in Malta. It supports progression to university courses that rely on strong theoretical foundations, including mathematics, statistics, computer science, economics, data science, finance, and related disciplines. The subject helps students build essential reasoning and abstract thinking skills needed for advanced mathematical and analytical studies.