Pure Mathematics – Content Overview:
Algebra: surds, indices, logarithms, polynomials, quadratic equations
Sequences and series: arithmetic, geometric, binomial expansions
Functions: composition, inverses, rational and modulus functions
Trigonometry: identities, equations, graphs, and applications
Calculus: differentiation and integration, including applications
Vectors and geometry: lines, planes, scalar and vector products
Matrices: algebra, inverses, transformations in 2D and 3D
Complex numbers: basic operations, De Moivre’s theorem, loci
Probability and combinatorics: permutations, combinations, conditional probability
Differential equations: first and second order
Numerical methods: Newton-Raphson, approximation techniques
Polar coordinates, further integration, and curve sketching
Learning Outcomes – Pure Maths:
Students gain a solid foundation in algebra, calculus, and mathematical reasoning. They learn to construct logical arguments, solve complex equations, work with abstract concepts, and model real-life problems mathematically. These skills are essential for mathematically intensive fields and further academic study.
Educational and Career Relevance:
This programme follows the official Advanced Level Mathematics syllabus requirements in Malta, preparing students for success in national examinations and further studies. Both Pure and Applied Mathematics support entry into a wide range of university courses such as mathematics, physics, statistics, engineering, architecture, economics, finance, data science, computer science, and other mathematically based careers.