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MATH7020 - Technological Mathematics 301

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Title:Technological Mathematics 301
Long Title:Technological Mathematics 301
Module Code:MATH7020
 
Duration:1 Semester
Credits: 5
NFQ Level:Intermediate
Field of Study: Mathematics
Valid From: Semester 1 - 2013/14 ( September 2013 )
Module Delivered in 7 programme(s)
Module Coordinator: David Goulding
Module Author: MARETTA BRENNAN
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:
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.
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).
No recommendations listed
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
Co-requisites
No Co Requisites listed
 

Module Content & Assessment

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.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other Series of in class assessments based on homework 1,2,3 30.0 Every Week
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 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 Lectures 3.0 Every Week 3.00
Tutorial Problem Solving 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Class notes & exercise sheets 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 Lectures 3.0 Every Week 3.00
Tutorial Problem Solving 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Class notes & exercise sheets 3.0 Every Week 3.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
 

Module Resources

Recommended Book Resources
  • John Bird 2010, Higher Engineering Mathematics, Sixth Edition, Newnes [ISBN: 9-78-1-856-17767-2]
  • John Bird 2010, Higher Engineering Mathematics [electronic book], Sixth Ed., Newnes [ISBN: 9780080962122]
Supplementary Book Resources
  • K A Stroud 2013, Engineering Mathematics, Seventh Edition, Palgrave Macmillan [ISBN: 978-1-137-03120-4]
  • Kuldeep Singh 2012, Engineering Mathematics Through Applications, Second Edition, Palgrave Macmillan [ISBN: 978-0-230-27479-2]
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_EMANF_7 Bachelor of Engineering in Manufacturing 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

Cork Institute of Technology
Rossa Avenue, Bishopstown, Cork

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