University of Malta

Study-Unit Description
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TITLE Mathematics for Engineers 1

LEVEL 01 - Year 1 in Modular Undergraduate Course


DEPARTMENT Mathematics

DESCRIPTION Study-unit Aims:

This study-unit mainly focuses on developing the necessary analytical skills which the students could then apply to address problems in engineering. Techniques for solving several types of first and second order ordinary differential equations are discussed. Functions of several variables are introduced, together with basic operations that can be applied on these functions, namely partial differentiation and double integration. The properties of sequences, series and Fourier series are also discussed and analysed.

- First order differential equations;
- Second order linear differential equations with constant coefficients;
- Partial differentiation;
- Sequences and series;
- Fourier series;
- Double integrals.

Learning Outcomes:

1. Knowledge & Understanding:

By the end of the study-unit the student will be able to:
- Solve a variety of first order and second order ordinary differential equations;
- Work with functions of several variables;
- Employ relevant tests and techniques to analyse sequences and series;
- Set up double integrals to determine volumes;
- Write functions in terms of their Fourier series expansions.

2. Skills:

By the end of the study-unit the student will be able to:
- 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.
- Spiegel M.R., Advanced Calculus, Schaum’s Outline Series, McGraw-Hill, 1981.
- Hass J.R. and Weir M.D., Thomas’ Calculus, Pearson, 13th Edition, 2014.

ADDITIONAL NOTES Follows from: A-Level

STUDY-UNIT TYPE Lecture and Tutorial

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

LECTURER/S Beatriz Zamora-Aviles
James L. Borg (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.
MSc (Research) and PhD application deadlines
Application Deadlines for Academic Year 2017/18 
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