CODE 
MAT1802 

TITLE 
Mathematics for Engineers 2 

LEVEL 
01  Year 1 in Modular Undergraduate Course 

ECTS CREDITS 
4 

DEPARTMENT 
Mathematics 

DESCRIPTION 
Studyunit Aims:
This studyunit 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 studyunit 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 studyunit 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 studyunit 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: ALevel 

STUDYUNIT 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 (Coord.) Cettina Gauci Pulo


The University makes every effort to ensure that the published Courses Plans, Programmes of Study and StudyUnit information are complete and uptodate 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 studyunit description above applies to the academic year 2017/8, if studyunit is available during this academic year, and may be subject to change in subsequent years.

21 January 2018
https://www.um.edu.mt/science/studyunit