Short Title:Technical Mathematics 5
Full Title:Technical Mathematics 5
Module Code:MATH H3073
Credits: 5
Field of Study:Electricity and energy
Module Delivered in 2 programme(s)
Module Description:This module has two aims: 1. to introduce basic matrix techniques for the formulation and solution of engineering problems. These techniques include the representation of geometric transformations, the power method to find eigenvalues and the solution of systems of differential equations. 2. to use partial differentiation to formulate and solve optimisation problems in several variables and to perform error analysis.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Use matrices to construct and analyse geometric transformations in 2D
LO2 Find the eigenvalues of a 2 by 2 matrix and apply to diagonalisation and power of a matrix
LO3 Find the largest and smallest eigenvalue of a matrix using the Power Method
LO4 Solve a system of first order differential equations (homogeneous and none homogeneous) with constant coefficients (2D) using matrix techniques both analytically and numerically (Euler Method).
LO5 Convert a higher order DE into a system of first order DE’s
LO6 Use matrix techniques to find the normal modes and frequencies of undamped coupled oscillators
LO7 Calculate partial derivatives of polynomials to solve max/min problems in 2D and do error analysis

Module Content & Assessment

Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Continuous Assessment CA Test covering Linear Transformations and coupled first order differential equations 1,2,3,4 10.00 Week 7
Continuous Assessment High threshold Keyskills test in lab 1,2,3,4,5,6,7 10.00 Week 11
Assignment Implement the Power Method and Euler's Method in the lab 3,4 10.00 Week 7
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination 1,2,3,4,5,6,7 70.00 End-of-Semester

TU Dublin – Tallaght Campus 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 Classwork 3.00 Every Week 3.00
Independent Learning Time Outside of Class 4.00 Every Week 4.00
Lecturer/Lab Session in Computing Laboratory 1.00 Every Week 1.00
Total Weekly Learner Workload 8.00
Total Weekly Contact Hours 4.00
This module has no Part Time workload.

Module Resources

Recommended Book Resources
  • K. A. Stroud,Dexter J. Booth, Engineering Mathematics, 4th ed Ed. [ISBN: 9780831133276]
  • K. A. Stroud,Dexter J. Booth, Advanced Engineering Mathematics, 4th ed Ed., Palgrave MacMillan [ISBN: 9781403903129]
  • Michael E. Mortenson, Geometric Transformations for 3D Modeling [ISBN: 9780831133382]
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_EAEEE_B Bachelor of Engineering (Honours) in Sustainable Energy Engineering 5 Mandatory
TA_EAEEE_D Bachelor of Engineering in Sustainable Energy and Environmental Engineering 5 Mandatory