| CODE | CVE2631 | ||||||||
| TITLE | Further Mathematics for Architects and Engineers | ||||||||
| UM LEVEL | 02 - Years 2, 3 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 5 | ||||||||
| ECTS CREDITS | 4 | ||||||||
| DEPARTMENT | Civil and Structural Engineering | ||||||||
| DESCRIPTION | This study-unit builds on the foundations of Mathematics for architects and engineers. New topics are introduced which are again of particular relevance to architects and civil engineers. Using these new mathematical tools, the student will be able to solve a more diverse range of problems in civil engineering and architecture. The content of this study-unit will provide problem solving skills using mathematical methods in topics such as geometrical properties of objects and spaces, vector analysis as well as partial differentiation which is fundamental to the analysis of property variations in space. The topics covered are as follows: - Vectors and basic vector calculus – applications to air flows in buildings; - Multiple integrals – application to moments of inertia and centroid of objects in 3D; - Partial differentiation and partial differential equations – application to the heat equation; - Numerical methods in integration. Study-Unit Aims: The aim of this study-unit is to enable the student to have a follow-up to the topics covered in Mathematics in Architecture and Civil Engineering 1. This will enable the student to have a much deeper insight not only in the mathematical methods presented, but also in the topics that they will encounter during the course of their studies. The student will therefore be able to further apply the knowledge gained in this unit to other study-units in the course thus making it simpler to grasp the more technical subjects which require a more advanced mathematical background. Learning Outcomes: 1. Knowledge & Understanding: By the end of the study-unit the student will be able to: - Analyze civil engineering and architectural problems using vectors; - Use differentiation and integration of vectors to find quantities such as velocities and accelerations of air through buildings; - Find the centroid and moment of inertia of 3D objects; - Apply numerical procedures to solve integrals. 2. Skills: By the end of the study-unit the student will be able to: - Apply more advanced mathematical tools for the formulation and solution of civil engineering and architectural problems; - Assess how the properties of objects in 3D space can be represented by mathematical means; - Apply numerical tools to find integrals in architectural and civil engineering problems. 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 edition, 2011. |
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| RULES/CONDITIONS | Before TAKING THIS UNIT YOU ARE ADVISED TO TAKE CVE1631 | ||||||||
| ADDITIONAL NOTES | Pre-requisite Qualifications: A-Level Pure or Applied Mathematics | ||||||||
| STUDY-UNIT TYPE | Lecture, Independent Study & Tutorial | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Daniel Micallef |
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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 2023/4. It may be subject to change in subsequent years. |
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