Short Title:Mathematical Methods
Full Title:Mathematical Methods
Language of Instruction:English
Module Code:MATH H4000
 
Credits: 5
Field of Study:Mechanics and metal work
Module Delivered in 5 programme(s)
Reviewed By:DIARMUID RUSH
Module Author:NOEL GORMAN
Module Description:This module aims to equip students with the calculus and linear algebra based mathematical methods needed in the analysis of many engineering systems
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Use Taylor’s Theorem and Maclaurin series to construct approximation schemes.
LO2 Test a power series for convergence using the Ratio Test.
LO3 Calculate derivatives implicitly and partial derivatives with the nabla operator.
LO4 Calculate single integrals by reduction formulas and multiple integrals by changing variables.
LO5 Use integral transform methods to solve ordinary and partial differential equations occurring in engineering.
LO6 Apply the algebra of matrices to engineering applications.
LO7 Relate the concepts of matrices and vectors in both geometric and algebraic applications.
LO8 Solve dense and tridiagonal systems of equations occurring in engineering modelling directly.
LO9 Solve sparse systems of equations occurring in engineering modelling using efficient iterative methods.
LO10 Recognise the importance of conditioning and sensitivity in the use of Linear Algebra in the solution of real engineering models using computers.
 

Module Content & Assessment

Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Continuous Assessment In class tests in calculus methods and linear algebra. 1,2,3,6,7,8 20.00 n/a
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination 1,2,3,4,5,6,7,8,9,10 80.00 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 6.00 Every Week 6.00
Independent Learning Time No Description 4.00 Every Week 4.00
Total Weekly Learner Workload 10.00
Total Weekly Contact Hours 6.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture 4 4.00 Every Week 4.00
Independent Learning 3 3.00 Every Week 3.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
 

Module Resources

Required Book Resources
  • Course Notes
Recommended Book Resources
  • Erwin Kreyszig 2011, Advanced Engineering Mathematics, 10th Ed. Ed., John Wiley & Sons [ISBN: 978-047064613]
  • K A Stroud 2011, Advanced Engineering Mathematics, 7th Ed. Ed., Palgrave Macmillan [ISBN: 978-023027548]
  • Glyn James, David Burley, Dick Clements, Phil Dyke, John Searl 2010, Advanced Modern Engineering Mathematics, Prentice Hall [ISBN: 978-0273719236]
  • Gilbert Strang, Introduction to Linear Algebra, 10th ed. Ed., Wellesley Cambridge Pr [ISBN: 9780980232714]
  • Gilbert Strang 2006, Linear algebra and its applications, Thomson Brooks/Cole Belmont, Calif. [ISBN: 978-0030105678]
  • Howard Anton, Robert C. Busby 2003, Contemporary linear algebra, Wiley New York [ISBN: 0471163627]
  • Howard Anton, Chris Rorres, Elementary Linear Algebra with Supplemental Applications, Wiley [ISBN: 978-0470561577]
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_EMECH_B B.Eng (Honours) in Mechanical Engineering [1 year Add-On] 7 Mandatory
TA_EBIOM_B B.Eng (Hons) in Biomedical Design 7 Mandatory
TA_EAMEC_B B.Eng(Hons) in Mechanical Engineering [Ab Initio] 7 Mandatory
TA_EAUTO_B Bachelor of Engineering (Honours) in Mechanical Engineering (Automation) 7 Mandatory
TA_EAAUT_B Bachelor of Engineering (Honours) in Mechanical Engineering (Automation) (1 yr Add on) 7 Mandatory