Module Details

Module Code: MATH7020
Title: Technological Mathematics 301
Long Title: Technological Mathematics 301
NFQ Level: Intermediate
Valid From: Semester 1 - 2023/24 ( September 2023 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 6 programme(s)
Module Description: This module introduces the basic terminology of differential equations, examines how differential equations model physical phenomena, and examines various methods for solving and interpreting differential equations.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Formulate and identify differential equations.
LO2 Solve first and second order differential equations using classical methods and interpret the solutions.
LO3 Solve first and second order differential equations using Laplace transforms and interpret the solutions.
Dependencies
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 MTU 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
 
Indicative Content
Differential Equations
Formulation and solution of first order differential equations. Solution of equations: direct integration; variables separable; integrating factor; Euler's method. Second order differential equations: auxilary equations, method of undetermined coefficients, complementary functions; particular integral. Applications to include problems in mechanics.
Laplace Transforms
Definitions and notation. Derivation of Laplace transforms of common functions. Laplace transforms of derivatives. The First Shift Theorem. Application to the solution of first and second order constant-coefficient linear differential equations.
Module Content & Assessment
Assessment Breakdown%
Coursework40.00%
End of Module Formal Examination60.00%

Assessments

Coursework
Assessment Type Other % of Total Mark 40
Timing Every Week Learning Outcomes 1,2,3
Assessment Description
Series of in class assessments based on homework
End of Module Formal Examination
Assessment Type Formal Exam % of Total Mark 60
Timing End-of-Semester Learning Outcomes 1,2,3
Assessment Description
End-of-Semester Final Examination
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 University reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Lectures Every Week 3.00 3
Tutorial Contact Problem Solving Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Class notes & exercise sheets Every Week 3.00 3
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Lectures Every Week 3.00 3
Tutorial Contact Problem Solving Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Class notes & exercise sheets Every Week 3.00 3
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
 
Module Resources
Recommended Book Resources
  • John Bird. (2021), Higher Engineering Mathematics, 9th. Routledge, [ISBN: 9780367643737].
  • John Bird. (2021), Higher Engineering Mathematics [electronic book], 9th. Routledge, [ISBN: 9781003124221].
Supplementary Book Resources
  • K A Stroud, Dexter J Booth. (2020), Engineering Mathematics, 8th. Red Globe Press, [ISBN: 9781352010275].
  • KA Stroud, Dexter J Booth. (2020), Engineering Mathematics [electronic book], 8th. Red Globe Press, [ISBN: 9781352010282].
  • Kuldeep Singh. (2012), Engineering Mathematics Through Applications, Second Edition, Palgrave Macmillan, [ISBN: 9780230274792].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_EBENS_8 Bachelor of Engineering (Honours) in Building Energy Systems 5 Mandatory
CR_ESENT_8 Bachelor of Engineering (Honours) in Sustainable Energy Engineering 5 Mandatory
CR_EBIME_7 Bachelor of Engineering in Biomedical Engineering 5 Mandatory
CR_EBSEN_7 Bachelor of Engineering in Building Services Engineering 5 Mandatory
CR_EMECH_7 Bachelor of Engineering in Mechanical Engineering 5 Mandatory
CR_EMECN_7 Parttime - Bachelor of Engineering in Mechanical Engineering 5 Group Elective 1