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MATH7021 - Maths for Civil Engineering

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Title:Maths for Civil Engineering
Long Title:Mathematics for Civil Engineering
Module Code:MATH7021
 
Duration:1 Semester
Credits: 5
NFQ Level:Intermediate
Field of Study: Mathematics
Valid From: Semester 1 - 2019/20 ( September 2019 )
Module Delivered in 2 programme(s)
Module Coordinator: David Goulding
Module Author: Jeremiah McCarthy
Module Description: This module covers: linear systems; the methods of undetermined coefficients, and Laplace transforms, for the solution of linear differential equations; multiple integrals.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Formulate and solve linear systems using matrix methods.
LO2 Use both the methods of undetermined coefficients and of Laplace transforms to solve differential equations.
LO3 Solve systems of differential equations.
LO4 Evaluate double and triple integrals.
Pre-requisite learning
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named CIT module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
10145 MATH6040 Technological Mathematics 201
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements

This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.

No requirements listed
 

Module Content & Assessment

Indicative Content
Linear Systems
Linear systems including those arising from truss systems and network flows. Gaussian Elimination. Partial Pivoting. The Jacobi Method for solving heat distribution problems.
Differential Equations
Solution of second order linear differential equations using the method of undetermined coefficients. Laplace transforms. The inverse Laplace transform via table look-up and partial fraction expansions. Solution of first and second order differential equations. Solution of 2x2 systems of linear differential equations.
Multiple Integrals
Development and evaluation of double integrals over rectangular and circular regions. Applications to include mass of a non-homogeneous solid, centroids, and second moment of area about an axis. Development and evaluation of triple integrals over boxes and cylinders.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Written Report Short report utilising software such as Microsoft Excel to assist in applying Gaussian elimination to linear systems. To include truss systems. 1 15.0 Week 5
Written Report Short written project investigating various differential equations. 2 15.0 Week 10
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination 1,2,3,4 70.0 End-of-Semester
Reassessment Requirement
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.

The institute reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Delivery of syllabus material 3.0 Every Week 3.00
Tutorial Based on exercises 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Review of lecture material, completion of exercises 3.0 Every Week 3.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Lecture 2.0 Every Week 2.00
Tutorial Based on exercises 2.0 Every Second Week 1.00
Independent & Directed Learning (Non-contact) No Description 4.0 Every Week 4.00
Total Hours 8.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.00
 

Module Resources

Recommended Book Resources
  • K A Stroud, Dexter J Booth 2013, Advanced Engineering Mathematics, 7th Ed., Palgrave Macmillan Hampshire [ISBN: 9781137031204]
Supplementary Book Resources
  • Dennis G. Zill, Warren S. Wright, Michael R. Cullen 2011, Advanced Engineering Mathematics, 4th Ed., Jones and Bartlett Sudbury, Mass [ISBN: 9780763779665]
  • Steven C. Chapra, Raymond P. Canale 2010, Numerical Methods for Engineers, 6th Ed., McGraw-Hill Higher Education Boston [ISBN: 9780071267595]
This module does not have any article/paper resources
This module does not have any other resources
 

Module Delivered in

Programme Code Programme Semester Delivery
CR_CCIVL_7 Bachelor of Engineering in Civil Engineering 6 Elective
CR_CENVI_7 Bachelor of Engineering in Environmental Engineering 6 Elective

Cork Institute of Technology
Rossa Avenue, Bishopstown, Cork

Tel: 021-4326100     Fax: 021-4545343
Email: help@cit.edu.ie