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MATH7006 - Engineering Mathematics 211

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Title:Engineering Mathematics 211
Long Title:Engineering Mathematics 211
Module Code:MATH7006
 
Duration:1 Semester
Credits: 5
NFQ Level:Intermediate
Field of Study: Mathematics
Valid From: Semester 2 - 2019/20 ( January 2020 )
Module Delivered in 6 programme(s)
Module Coordinator: David Goulding
Module Author: Maryna Lishchynska
Module Description: This module introduces the student to differential equations and examines classical and modern (Laplace transforms) methods for solving differential equations. It also treats further topics in calculus such as line and multiple integrals.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Formulate, identify and solve first order differential equations.
LO2 Solve second order linear differential equations with constant coefficients using classical methods.
LO3 Use the method of Laplace transforms to solve differential equations and systems of differential equations.
LO4 Evaluate line, 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).
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
Differential Equations
Formulation and solution of first order differential equations. Techniques to include direct integration, variables separation and integrating factor. Solution of second order differential equations using classical methods. Solution of 2 × 2 linear systems of differential equations with constant coefficients.
Laplace Transforms
Construction of a short table of Laplace transforms. Inverse Laplace transforms using table look-up and partial fractions. Solution of first and second order differential equations. Solution of 2 x 2 systems of simultaneous linear differential equations with constant coefficients.
Further Calculus
Development and evaluation of line integrals along various paths. Development and evaluation of double integrals over various regions. Polar coordinates and Jacobians. Applications to include centroids and second moment of area about axes. Development and evaluation of triple integrals.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other In class test 1,2 15.0 Week 6
Other In class test 3 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 Lecture 3.0 Every Week 3.00
Tutorial Based on exercise sheets 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Study of lecture material and exercise sheets 3.0 Every Week 3.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
This module has no Part Time workload.
 

Module Resources

Recommended Book Resources
  • Erwin Kreyszig 2011, Advanced Engineering Mathematics, 10th Ed., John Wiley & Sons [ISBN: 9780470913611]
Supplementary Book Resources
  • Denis G. Zill, Warren S. Wright & Michael R. Cullen 2016, Advanced Engineering Mathematics, 6th Ed., Jones and Bartlett [ISBN: 9781284105902]
  • K.A.Stroud, J.B. Dexter 2011, Advanced Engineering Mathematics, 5th Ed., Palgrave MacMillian [ISBN: 9780230275485]
This module does not have any article/paper resources
Other Resources
 

Module Delivered in

Programme Code Programme Semester Delivery
CR_EBIOM_8 Bachelor of Engineering (Honours) in Biomedical Engineering 3 Mandatory
CR_ECPEN_8 Bachelor of Engineering (Honours) in Chemical and Biopharmaceutical Engineering 3 Mandatory
CR_EMECH_8 Bachelor of Engineering (Honours) in Mechanical Engineering 3 Mandatory
CR_CSTRU_8 Bachelor of Engineering (Honours) in Structural Engineering 3 Mandatory
CR_CCEEE_9 Master of Engineering in Civil Engineering (Environment and Energy) 3 Mandatory
CR_CSTEN_9 Master of Engineering in Structural Engineering 3 Mandatory

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