Monash University Handbook 2010 Undergraduate - Unit

Synopsis

This unit conveys the fundamentals of numerical analysis techniques for root-finding, interpolation, integration, the solution of ordinary differential equations and data analysis, and Matlab is employed to demonstrate their implementation. The role computers play in both the solution of engineering problems and the acquisition and analysis of data is explored through consideration of common partial differential equations in mechanics, and their solution via finite difference, finite volume, and finite element methods. Exposure to commercial finite-element analysis and computational fluid dynamics codes provides experience in solving practical engineering problems.

Objectives

Understanding of the role of computers and numerical analysis in modern engineering practice
Appreciation of stability, efficiency and accuracy constraints on available methods for numerical approximation of engineering solutions
Understanding of numerical methods for interpolation, root-finding, integration, solution of ordinary and partial differential equations, and analysis of data.
Knowledge and skills to generate accurate solutions to engineering problems using numerical computing
Knowledge of the types of equations which arise in computational mechanics
Understanding of finite difference, finite volume and finite element methods, and their application to computational mechanics problems
Understanding of methods for data analysis, including sampling, Fourier transforms and filtering
Solve engineering problems numerically
Determine the appropriate technique to solve a problem through consideration of the accuracy, efficiency and stability of available methods
Acquire, analyse and interpret data
Complete tasks as part of a team
Improve oral and written communication skills
Appreciation of the role of computers in engineering industry
Confidence in identifying engineering problems and formulating original solutions.

Assessment

Laboratory and Assignments: 30%
Examination (3 hours): 70%

Chief examiner(s)

Professor Mark Thompson

Contact hours

3 hour lectures, 3 hours practice sessions or laboratories per week (this may alternate with 2 hours lectures and 4 hours practice sessions/laboratories) and 6 hours of private study per week

Prerequisites

ENG1060 or ENG1603 or MEC2490