Short Title:Mathematics 5
Full Title:Mathematics 5 (Differential Equations)
Language of Instruction:English
Module Code:MATH H3010
 
Credits: 5
Field of Study:Mechanics and metal work
Module Delivered in 6 programme(s)
Reviewed By:DIARMUID RUSH
Module Author:CIARAN TAYLOR
Module Description:The first aim of Mathematics 5 is to reinforce the student’s competence in a range of mathematical techniques to support the analytical content of other modules in the course. The second aim is to enable the student to apply these mathematical techniques to the solution of engineering problems, such as the analysis of system behaviour and solution of control problems.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Solve first order differential equations by separating the variables. [POa, POb]
LO2 Solve first order linear differential equations by the integrating factor method. [POa, POb]
LO3 Solve second order linear differential equations with constant coefficients using the complementary equation. [POa, POb,POd]
LO4 Find and invert Laplace transforms using a standard table, linearity, shift theorems. [POa, POb]
LO5 Invert a Laplace transform by partial fraction techniques. [POa, POb]
LO6 Solve first and second order linear differential equations with constant coefficients using the Laplace transform method. [POa, POb, POd]
LO7 Solve a system of first order linear differential equations using Laplace transforms. [POa, POb]
LO8 Use differential equation techniques to create and solve models of engineering systems. [POa, POb, POd]
LO9 Interpret the solutions of differential equation models of engineering systems appropriately. [POa, POb, POd]
 

Module Content & Assessment

Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other High threshold test on solution of differential equations.   15.00 Week 5
Other High threshold test on Laplace transform techniques.   15.00 Week 9
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination   70.00 End-of-Semester

IT Tallaght 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 No Description 4.00 Every Week 4.00
Independent Learning Time No Description 4.00 Every Week 4.00
Total Weekly Learner Workload 8.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture No Description 2.00 Every Week 2.00
Lecture No Description 6.00 Week 13 0.46
Independent Learning Time No Description 6.00 Every Week 6.00
Total Weekly Learner Workload 8.46
Total Weekly Contact Hours 2.46
 

Module Resources

Recommended Book Resources
  • Anthony Croft, Robert Davison, James Flint, Martin Hargreaves 2017, Engineering Mathematics, 5th ed. Ed., Pearson [ISBN: 1292146656]
  • K. A. Stroud, Dexter J. Booth 2013, Engineering Mathematics, 7th ed. Ed., Palgrave MacMillan [ISBN: 1137031204]
  • K. A. Stroud, Dexter J. Booth 2011, Advanced Engineering Mathematics, 5th ed. Ed., Palgrave MacMillan [ISBN: 0230275486]
  • Erwin Kreyszig 2011, Advanced Engineering Mathematics, 10th ed. Ed., John Wiley and Sons [ISBN: 0470646136]
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
TA_EBIOM_B B.Eng (Hons) in Biomedical Design 5 Mandatory
TA_EAMEC_B Bachelor of Engineering (Honours) in Mechanical Engineering 5 Mandatory
TA_EAUTO_B Bachelor of Engineering (Honours) in Mechanical Engineering (Automation) 5 Mandatory
TA_EBIOM_D Bachelor of Engineering in Biomedical Design 5 Mandatory
TA_EAMEC_D Bachelor of Engineering in Mechanical Engineering 5 Mandatory
TA_EAUTO_D Bachelor of Mechanical Engineering (Automation) 5 Mandatory