Short Title:Mathematics 4
Full Title:Mathematics 4
Language of Instruction:English
Module Code:MATH H2066
 
Credits: 5
Field of Study:Electronics and automation
Module Delivered in 5 programme(s)
Reviewed By:JAMES WRIGHT
Module Author:PAUL FARRELL
Module Description:This subject builds on the student’s ability to use calculus, to introduce more advanced techniques of integration and their application to separable differential equations, and to analogue signals via Laplace transforms and digital signals via Fourier coefficients. The subject also introduces the basic concepts of differential equations and uses the techniques of calculus and Laplace Transforms to solve first and second order differential equations. The subject also introduces Transfer functions, writing them in standard form, calculating poles and zeros, applying the Routh Criterion for stability to the transfer function in second and third order stability problems in Electronic Engineering. Convergence of sequences and series are introduced. Matrices are used to determine stability in first and second order stability problems in Electronic Engineering via the Hurwiz Criterion.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Calculate integrals using a range of integration techniques, including the use of Maclaurin series and Taylor series, and including integrals involving Sinusoidal Oscillations, Piecewise linear signals and odd and even signals, and applied to solving separable differential equations.
LO2 Calculate and invert Laplace transforms for standard functions. Write Transfer functions in standard form, calculate poles and zeros. Calculate Transfer function from poles and zeros. Apply Routh Criterion for stability to Transfer functions for second and third order stability problems.
LO3 Solve simple differential equations associated with circuits using Laplace transforms.
LO4 Use matrices to determine stability in 2nd and 3rd order stability problems in Electronic Engineering via the Hurwiz criterion.
LO5 Calculate limits, sum geometric series and test series for convergence.
 

Module Content & Assessment

Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Continuous Assessment Mid-term test 1,2 30.00 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 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
Lecturer/Lab Class based instruction 4.00 Every Week 4.00
Independent Learning Time Student study 3.00 Every Week 3.00
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
Lecturer/Lab Class based instruction 3.00 Every Week 3.00
Independent Learning Time Student study 4.00 Every Week 4.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.00
 

Module Resources

Required Book Resources
  • Dr. Anthony Croft, Robert Davidson, Martin Hargreaves and James Flint 2012, Engineering Mathematics: A Foundation for Electronic, Electrical, Communications and Systems Engineers, 4th edition Ed., Pearson Education Limited [ISBN: ISBN: 978 0 273 719779]
Recommended Book Resources
  • Dexter J. Booth,, Engineering Mathematics [ISBN: 9781403942463]
  • Kuldeep Singh, Engineering mathematics through applications, Palgrave Macmillan Basingstoke [ISBN: 0333922247]
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_EAELE_B Bachelor Degree in Engineering (Honours) in Electronic Engineering 4 Mandatory
TA_EAENS_B Bachelor of Engineering (Hons) in Engineering Software 4 Mandatory
TA_EAELE_D Bachelor of Engineering in Electronic Engineering 4 Mandatory
TA_EAENS_D Bachelor of Engineering in Engineering Software 4 Mandatory
TA_EELEC_C Higher Certificate in Engineering in Electronic Engineering 4 Mandatory