| CODE | SCE2201 | ||||||||||||
| TITLE | Numerical Methods for Engineers | ||||||||||||
| UM LEVEL | 02 - Years 2, 3 in Modular Undergraduate Course | ||||||||||||
| ECTS CREDITS | 4 | ||||||||||||
| DEPARTMENT | Systems and Control Engineering | ||||||||||||
| DESCRIPTION | This study-unit introduces the MATLAB Programming Language to engineering students and uses this tool to implement numerical methods to solve various engineering problems. The study-unit also presents the basic theory behind a number of numerical methods as used in both electrical and mechanical engineering. Study-Unit Aims: The aims of the study-unit are to: - Introduce the students to the Matlab programming language as a tool for scientific computing and highlight some of the alternatives; - Explore approximation and truncation errors, together with the common trade-off between accuracy and computational complexity common to all algorithms; - Explore engineering design concepts for mechanical structures and electrical circuits though the numerical identification of the roots of modelling equations; - Analyse of coupled mass-spring-damper systems, electrical circuits and statically determinate trusses based on the numerical solutions of linear algebraic equations; - Introduce linear regression and interpolation methods for the estimation of model parameters and the representation of results for heat transfer and signal processing applications; - Employ numerical integration and differentiation models for the calculation of various engineering quantities such a work, energy and forces in complex mechanical systems and mean power, voltages and current in switching electrical circuits; - Employ numerical solutions to ordinary differential equations (ODEs) to evaluate the transit behaviour of various engineering systems whose evolution is dictated by well-known ODEs such a Newton's second law, Fourier's heat law and Faraday's law; - Explore the use of partial difference methods to solve partial differential equations in simple heat transfer examples with fixed boundary conditions. Learning Outcomes: 1. Knowledge & Understanding: By the end of the study-unit the student will be able to: - Identify the appropriate numerical method to apply to different engineering applications; - Explain the advantages and disadvantages of competing methodologies in relation to the applications being considered; - Explain the underpinnings for all methodologies presented; - Identify the possible pit-falls in the different implementations. 2. Skills: By the end of the study-unit the student will be able to: - Develop solutions to numerical problems in engineering using any of the numerical analysis methods taught in this unit using the Matlab programming language; - Work-out empirically solutions to simpler numerical problems; - Present results to numerical problems using the appropriate graphical tools in Matlab; - Clearly explain any limitations in their numerical solutions for each specific example. Main Text/s and any supplementary readings: Main Text: - Chapra S.C., Numerical Methods for Engineers, 5th Edition, Mcgraw-Hill, 2006. Supplementary Readings: - Durden R. and Douglas F.J., Numerical Analysis, 9th Edition, Cengage Learning, 2010. - Otto S., Introduction to Programming and Numerical Methods in Matlab, Springer, 2005. - Conte S.D., Elementary Numerical Analysis: Algorithmic Approach, McGraw-Hill, 1980. |
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| ADDITIONAL NOTES | Pre-requisite Study-units: MAT1801 & MAT1802 | ||||||||||||
| STUDY-UNIT TYPE | Lecture, Independent Study & Practicum | ||||||||||||
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| LECTURER/S | Brian Azzopardi Kenneth M. Scerri |
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The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
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