Study-Unit Description

Study-Unit Description


CODE CVE1631

 
TITLE Mathematics for Architects and Engineers

 
UM LEVEL 01 - Year 1 in Modular Undergraduate Course

 
MQF LEVEL 5

 
ECTS CREDITS 3

 
DEPARTMENT Civil and Structural Engineering

 
DESCRIPTION Architects and civil engineers require a collection of fundamental mathematical tools in order to tackle a number of practical problems. These can include geometrical problems, structural, energy calculations, fluid flows and so on. The mathematical topics addressed in this study-unit prepare the student to tackle such problems. This will allow students to attain a solid background in the application of mathematics to the technical topics encountered during the course.

The topics covered are as follows:
- Systems of linear equations – statics and building energy problems
- First order differential equations – application to system modelling
- Second order differential equations (linear and constant coefficients) – application to sound and vibration
- Introduction to numerical methods for differentiation – application to building related computations

Study-unit Aims:

This unit introduces students to the basic mathematical tools necessary in the fields of architecture and civil engineering. It aims at stimulating the current knowledge in pure or applied mathematics from A-level and extends it to more advanced topics with direct application to civil engineers and architects such as systems of linear equations and differential equations. Numerical methods are introduced which are the cornerstone of modern computational methods in engineering.

Learning Outcomes:

1. Knowledge & Understanding:

By the end of the study-unit the student will be able to:
- Model and analyze systems using linear equations;
- Model and solve engineering and architectural problems using differential equations of the first or second order type;
- Use numerical methods for differentiation.

2. Skills:

By the end of the study-unit the student will be able to:
- Apply mathematical tools for the formulation and solution of civil engineering and architectural problems;
- Apply logical thinking and refine mathematical flair for solving engineering problems;
- Apply mathematical tools in building physics.

Main Text/s and any supplementary readings:

Stroud, K.A. Booth, Dexter J.. Engineering mathematics. Palgrave Macmillan; 5th Revised edition edition, 2001.
Kreyszig, Erwin. Advanced engineering mathematics. John Wiley & Sons; 9th edition edition, 2006.
Zill, Dennis G. Wright, Warren S.; Cullen, Michael R. Advanced engineering mathematics. Jones and Bartlett Publishers, Inc; 4th Revised edition, 2011.

 
ADDITIONAL NOTES Pre-requisite Qualification: A-level Pure or Applied Mathematics

 
STUDY-UNIT TYPE Lecture, Independent Study & Tutorial

 
METHOD OF ASSESSMENT
Assessment Component/s Assessment Due Sept. Asst Session Weighting
Examination (2 Hours) SEM1 Yes 100%

 
LECTURER/S Daniel Micallef

 

 
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.

https://www.um.edu.mt/course/studyunit