| CODE | MAT1802 | ||||||||
| TITLE | Mathematics for Engineers 2 | ||||||||
| UM LEVEL | 01 - Year 1 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 5 | ||||||||
| ECTS CREDITS | 4 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | Study-Unit Aims: The main aims of this study-unit are to discuss the theories of vectors and matrices, and to utilise the associated vector algebra and matrix algebra. It aims at exploiting the relationship between these two fields of mathematics through their application to linear objects, systems of linear equations and transformations. This study-unit also introduces vector spaces and eigensystems, notions that are often encountered in engineering studies. In brief, this study-unit aims at laying a sound foundation in the areas of: - matrices and determinants; - systems of linear equations; - matrices, eigenvalues and eigenvectors; - vector algebra and vector spaces; - transformation of rectangular Cartesian coordinates on a plane and in space; - linear transformations; and - linear objects (lines in 2D and 3D and; planes (in 3D)). Learning Outcomes: 1. Knowledge & Understanding: By the end of the study-unit the student will be able to: - Work with matrices, determinants and vectors to solve problems in engineering; - Describe the fundamental notions underlying vector spaces; - Construct equations of lines and planes and use them to locate points/lines of intersection; - Apply transformations to points and coordinate systems; - Determine the eigenvalues and eigenvectors of a given matrix. 2. Skills: By the end of the study-unit the student will be able to: - Formulate solutions to problems by using appropriate mathematical techniques; - Evaluate the applicability of different theorems and results to engineering problems; - Address engineering problems by applying appropriate mathematical tools. Main Text/s and any supplementary readings: Main Text: - Larson R., Edwards B.H. and O' Neil P., Mathematics for Engineers, Custom Edition for the University of Malta, Cengage, 2015. Supplementary Readings: - Zill D.G. and Wright W.S., Advanced Engineering Mathematics, Jones and Bartlett Publishers, 5th Edition, 2012. - Vaisman I., Analytical Geometry, World Scientific Publishing Company, 1998. - Roe J., Elementary Geometry, Oxford Science Publications, Clarendon Press, 1997. |
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| ADDITIONAL NOTES | Follows from: Advanced Level in Pure Mathematics | ||||||||
| STUDY-UNIT TYPE | Lecture and Tutorial | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Pierre Sandre Farrugia John B. Gauci |
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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 2024/5. It may be subject to change in subsequent years. |
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