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## The Complete Co-Educational Day and Boarding School

Applied Mathematics

# Applied Mathematics

### Introduction

Applied Mathematics is the use of the language of mathematics to study and solve real-world problems. Student will learn how to model real-world phenomena in the physical, natural and economic worlds. This modelling process requires students to turn authentic situations into mathematical structures. They will follow a cycle of defining the problem, translating it into mathematics, calculating and evaluating the solution.

Engaging with real problems is motivating for students; it allows them to see the relevance of mathematics to situations that are important in their lives. The open-ended nature of mathematical modelling problems allows students to employ the mathematical tools that they prefer as well as practise skills they need to reinforce. The fact that the process itself involves iteration (evaluation and reworking of the model) clearly communicates that a straight path to success is unlikely and contributes to the development of students' tenacity.

While it is an enjoyable and challenging course, students need good mathematical skills to Higher Leaving Certificate standard and the ability to think clearly when solving problems.  Students choosing a career in Engineering, or Sciences might wish to study this subject.

Students will be applying mathematics to problems such as:

• Can we engineer a car to accelerate to 1000 kph?
• Where do you build distribution centres to minimize a company’s transportation costs?
• How can we minimize the spread of contagious diseases?

The specification is split up into three distinct strands with a unifying strand of Mathematical Modelling underpinning the whole course.

·       Mathematical modelling with networks and graphs

·       Mathematical modelling the physical world

·       Mathematical modelling a changing world

### Assessment

There are two assessment components at Higher and Ordinary Level.

·       Modelling project 20%

·       Written examination 80%

### 5th Year

 Term 1 Term 2 & 3 Vectors Linear Motion              Projectiles on the Horizontal Plane Impacts and Collisions Newton’s Laws and Connected Particles Work, Power, Energy and Momentum Motion in a Circle

### 6th Year

 Term 1 Term 2 & 3 Difference Equations Networks and Graphs Optimal Paths Differentiation and Integration Differential Equations Examination papers.