Short Title:  Mathematics 4 

Full Title:  Mathematics 4 

Language of Instruction:  English 

Field of Study:  Mechanics and metal work 

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 nonlinear 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 3D 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 
EndofSemester Final Examination 

70.00 
EndofSemester 
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 
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 ResourcesRequired 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
