Applied Mathematics employs a stepwise approach using mathematical reasoning, principles and patterns to develop models, test conjectures and judge the validity of arguments and conclusions.

This courses explores problems using symbolic, graphical, numerical, physical and verbal techniques in the context of finite or discrete real-word situations.  Applied Mathematics utilises mathematical thinking and modelling to examine and solve problems arising in a wide variety of disciplines including, but not limited to, economics, medicine, agriculture, marine sciences, law, transportations, engineering, banking, natural sciences, social sciences and computing.

The CAPE Applied Mathematics syllabus makes provision for a diversity of specialised interests through three carefully articulated options that are available to students.  Each option has central core of discrete mathematical concepts which establish the importance of reasoning, counting, modelling and algorithmic thinking.  This central core establishes the finiteness of the space in which modelling occurs, the discreteness of the number system used in modelling and the appropriate nature of computation.  The three options are as follows:

• Option A: addresses graphical and numerical concepts by way of Discrete Mathematics and Statistics;
• Option B: examines graphical and physical concepts using Discrete Mathematics and Mechanics;
• Option C: addresses graphical, numerical and physical ideas through the medium of Discrete Mathematics, Statistics and Mechanics.

The syllabus aims to:

• Develop an awareness of exciting applications of Mathematics;
• Develop a willingness to apply Mathematics to relevant problems that are encountered in daily activities;
• Provide an understanding of certain mathematical concepts and structures, their development and their interrelationships;
• Enable the use of calculators and computers to enhance mathematics investigations;
• Encourage a spirit of mathematical curiosity and creativity;
• Develop the skills of recognising essential aspects of real-world problems and translating these problems into mathematical forms;
• Develop the skills of defining the limitations of the model and the solution;
• Assist students in applying Mathematics across the subjects of the school curriculum;
• Provide students with opportunities to acquire relevant skills and knowledge for access to advanced courses in Mathematics and/or its applications in other subject areas;
• Provide experiences that will act as a motivating tool for the use of technology.

The Applied Mathematics syllabus is a 1-Unit course, organised in three Modules.  Each Module requires 50 hours.

• Module 1: Discrete Mathematics
• Module 2: (1) Probability and Distributions; (2) Particle Mechanics
• Module 3: (1) Statistical Inference; (2) Rigid Bodies, Elasticity, Circular and Harmonic Motion