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Study-Unit Description
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CODE MAT1802

 
TITLE Mathematics for Engineers 2

 
LEVEL 01 - Year 1 in Modular Undergraduate Course

 
ECTS CREDITS 4

 
DEPARTMENT Mathematics

 
DESCRIPTION Study-unit Aims:

This study-unit discusses the theories of vectors and matrices, and utilises the associated vector algebra and matrix algebra. The relationship between these two fields of mathematics is exploited through their application to linear objects, systems of linear equations and transformations. The students are also introduced to vector spaces and eigensystems. All these notions are often encountered in engineering studies, and thus this study-unit aims at laying a sound foundation in these areas:
- Matrices and determinants;
- Systems of linear equations;
- Matrices: eigenvalues and eigenvectors;
- Vector algebra and introduction to vector spaces;
- Transformation of rectangular Cartesian coordinates on a plane and in space; linear transformations;
- Linear objects: lines (in 2D and 3D), 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 Textbook:

- 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.

 
ADDITIONAL NOTES Follows from: A-Level

 
STUDY-UNIT TYPE Lecture and Tutorial

 
METHOD OF ASSESSMENT
Assessment Component/s Resit Availability Weighting
Examination (2 Hours) Yes 100%

 
LECTURER/S Victoria Gatt
John B. Gauci (Co-ord.)
Cettina Gauci Pulo

 
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 study-unit description above applies to the academic year 2017/8, if study-unit is available during this academic year, and may be subject to change in subsequent years.
Calendar
Notices
MSc (Research) and PhD application deadlines
Application Deadlines for Academic Year 2017/18 
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