Short Title:Mathematics 4
Full Title:Mathematics 4
Language of Instruction:English
Module Code:MATH H2005
 
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 4 is to further develop the broad range of standard mathematical techniques in linear algebra, analysis and calculus assimilated in Mathematics 2. The second aim is to enable the student to apply these mathematical techniques to the solution of bounded engineering problems.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Find partial derivatives of functions of several variables.
LO2 Use partial derivatives to find the gradient of a scalar field and the divergence and curl of a vector field. [POa, POb, POd, POg]
LO3 Obtain definite and indefinite integrals of functions using standard integration methods. [POa, POb]
LO4 Obtain eigenvalues and eigenvectors of 2 × 2 and 3 × 3 matrices. [POa, POb, POd]
LO5 Use cofactors to find 4 × 4 determinants and 3 × 3 inverses. [POa, POb, POd]
LO6 Use appropriate numerical techniques to solve relevant non-linear engineering problems and understand the limitations of these methods [POa, POb, POd]
LO7 Write algorithms to solve problems involving numerical techniques and implement them in programs using a modern programming language.
 

Module Content & Assessment

Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other Assignment in the visualization of functions in 3-D using appropriate software and the use symbolic of mathematics software. (Using for example MATLAB).   10.00 Week 4
Other High threshold test in methods of integral calculus.   10.00 Week 7
Continuous Assessment Assignment on the application of programming to solve problems using numerical techniques.   10.00 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 3.00 Every Week 3.00
Lab Computer packages, problem solving 1.00 Every Week 1.00
Independent Learning 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
Lab Computer packages, problem solving 5.00 Week 13 0.38
Independent Learning Time No Description 6.00 Every Week 6.00
Total Weekly Learner Workload 8.38
Total Weekly Contact Hours 2.38
 

Module Resources

Required Book Resources
  • Glyn James 2015, Modern Engineering Mathematics, 5th ed. Ed., Pearson Education [ISBN: 1292080736]
Recommended Book Resources
  • Howard Anton,Chris Rorres 2014, Elementary Linear Algebra with Supplemental Applications, 11th ed. Ed., Wiley New York [ISBN: 1118677455]
  • K. A. Stroud,Dexter J. Booth 2013, Engineering Mathematics, 7th ed. Ed., Palgrave MacMillan [ISBN: 1137031204]
  • Anthony Croft, Robert Davison, James Flint, Martin Hargreaves 2017, Engineering Mathematics, A Foundation for Electronic, Electrical, Communications and Systems Engineers, 5th ed. Ed., Pearson [ISBN: 1292146656]
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 4 Mandatory
TA_EAMEC_B B.Eng(Hons) in Mechanical Engineering [Ab Initio] 4 Mandatory
TA_EAUTO_B Bachelor of Engineering (Honours) in Mechanical Engineering (Automation) 4 Mandatory
TA_EBIOM_D Bachelor of Engineering in Biomedical Design 4 Mandatory
TA_EAMEC_D Bachelor of Engineering in Mechanical Engineering 4 Mandatory
TA_EAUTO_D Bachelor of Mechanical Engineering (Automation) 4 Mandatory