# Unit information: Numerical Analysis Using MATLAB in 2020/21

Unit name Numerical Analysis Using MATLAB CENGM0029 10 M/7 Teaching Block 1 (weeks 1 - 12) Dr. Woods Not open None None Department of Civil Engineering Faculty of Engineering

## Description

In this unit students will learn introductory numerical analysis using the MATLAB computing environment.

The unit will include an introduction to

• the importance of limited numerical precision in numerical computing,
• standard numerical methods such as root-finding, optimization, solution of linear systems, interpolation of data, numerical differentiation and integration, and the numerical solution of differential equations.
• the fundamentals of MATLAB, including core functions, toolboxes, data entry and loading data files, matrix algebra, plotting in two and three dimensions, and simple programming constructs.

The main aims of the unit are that students

• learn the fundamental concepts of numerical analysis, and
• become proficient in the basic data entry, manipulation, and analysis skills that are necessary for water and environmental engineering, and to build water resource models
• develop sufficient skills to be able to analyse the environmental data provided in subsequent units, and to be able to use MATLAB to support their research work later in the course.

## Intended learning outcomes

At the end of this module, the successful student will be able to:

M3.1 explain and apply the fundamental concepts behind numerical analysis;

M3.2 explain and apply standard methods of numerical analysis using MATLAB;

M3.3 import data and export results in suitable formats, interpret and compare these outputs;

M3.4 construct and execute simple programmes, for example, to create graphs and other visual representations of data.

## Teaching details

Teaching will be delivered through a combination of synchronous and asynchronous sessions, which may include lectures, practical activities supported by drop-in sessions, problem sheets and self-directed exercises.

## Assessment Details

This unit will be assessed by coursework (a report/workbook will be submitted to show competency in computational numerical analysis). Formative assessment/feedback will also be provided throughout the unit from tutorial exercises, to help students prepare for the summative assessments.

## Reading and References

Chapra, S.C. (2011) Applied Numerical Methods W/MATLAB for Engineers & Scientists, 3rd edition, McGraw-Hill, 0073401102