Overview

The core ideas from calculus are typically first presented informally, focussing on applying results rather than understanding why they work. Mirroring the way mathematics developed historically, this topic revisits the central ideas seen in calculus and introduces methods to formalise these. This begins with the study of mathematical proof, including … For more content click the Read More button below.

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Aims

This topic aims to provide an introduction to the modern formulation of set theory, differential and integral calculus, including the ability to understand proofs related to these concepts.

Learning outcomes

On completion of this topic you will be expected to be able to:
1.
Understand, construct and communicate mathematical proofs
2.
Describe the fundamental properties of the real numbers
3.
Formally derive the core results of calculus
4.
Solve problems using the fundamental ideas of mathematical analysis

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Requisites information

Pre-requisites:
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