Numerical Methods

Learning Outcomes

Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Convert an algorithm into a programming script.
• Demonstrate the accuracy of a numerical solution.
• Recognise engineering problems that may be approximated/solved numerically using numerical methods.

Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Conceptualise the solution of practical engineering problems using systematic steps (i.e., a programmable algorithm).
• Think in a logical and critical manner.
• Present data and analyse results in a scientific manner.
• Use of MATLAB software for coding.
• Time management and independent learning.

Subject Specific Practical Skills

Having successfully completed this module you will be able to:

• Apply numerical methods algorithms in practice. This includes methods such as error quantification and mitigation, root finding, regression analysis, numerical differentiation and integration, Fourier transformation, Eigenvalues & Eigenvectors, solving differential equations and linear systems.
• Write, compile, execute and test programs using MATLAB to solve a range of problems numerically.
• Utilise user manuals and online help pages/tutorials to learn and gain familiarity with commercial software platforms.

Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• The significance of numerical methods in modern day life and technology as well as their applications in solving a wide range of practical engineering problems.
• The theory of most common numerical methods that are used by scientists and engineers.
• The fundamental concepts of programing.

Part 1: Numerical analysis for engineers

Types of errors and propagation of errors; Numerical solution of non-linear equations; Regression analysis/Curve fitting methods; Taylor series and applications; Numerical differentiation & integration (quadrature); Ordinary Differential Equation solvers; Partial differential equations

Part 2: Programming for engineers (MATLAB)

Writing, compiling and executing MATLAB codes to solve a range of practical numerical problems through a mixture of lectures and computer workshops.

Teaching and learning methods

Teaching methods include

• Lectures
• Tutorials
• Computer workshops

Learning activities include

• Worked examples
• Tutorial questions
• Coursework
• Problem assignments
• Private study

PowerPoint slides, tutorial sheets and solutions, worked examples and pre-recorded videos available from module Blackboard

Resources & Reading list

General Resources

ABAQUS. User manual

Internet Resources

Mathworks references (Mathworks is the official owner of Matlab).

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Repeat

An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.

Repeat Information

Repeat type: Internal & External