Short Title:  Mathematics 2 

Full Title:  Mathematics 2 

Field of Study:  Mechanics and metal work 

Reviewed By:  DIARMUID RUSH 

Module Author:  Ciaran O Sullivan 

Module Description:  The aim of Mathematics 2 is to enable the student to master a broad range of standard mathematical techniques in linear algebra, analysis and calculus to a high level of proficiency. This proficiency is required to support engineering subjects and forms the basis for further mathematical study in year 2. 

Learning Outcomes 
On successful completion of this module the learner will be able to: 
LO1 
Write down geometric transformations as matrices and use matrices to implement geometric transformations. 
LO2 
Use matrix techniques to describe, solve and interpret the solution to systems of linear equations of the type occurring in engineering problems. 
LO3 
Use vectors to describe and solve geometric problems in 3D. 
LO4 
Recognise different engineering signal types such as even, odd, monotonic, convex, concave, piecewise ( constant and linear) and rational functions. 
LO5 
Apply knowledge of engineering functions to solve models (growth and decay models). 
LO6 
Extend the differential calculus to parametrically defined functions. 
LO7 
Apply differential calculus to analyse the graph of a function and to solve problems in mechanics and other engineering contexts. 
LO8 
Use the definition of integration to integrate an exact function. 
LO9 
Integrate the basic monomials, exponential, logarithmic and trigonometric functions of the type occurring in engineering and use linearity to integrate sums of such. 
LO10 
Use Simpsonâ€™s and the Trapezoid rules to evaluate definite integrals numerically, with an estimate of the error. 
LO11 
Apply integration to find a variety of areas and volumes and to solve problems in mechanics and other engineering contexts. 
LO12 
Demonstrate a sound knowledge of the vocabulary and syntax of a modern programming language. 
LO13 
Perform programming basics such as the assembling of programmes/scripts which correctly use variable assignment, comments and indentation and are able to debug and test such programmes. 
LO14 
Use programming control structures (selection structures and repetition) 
Module Content & Assessment
Course Work 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Continuous Assessment 
High threshold test on vectors and linear algebra. 
1,2,3 
10.00 
Week 5 
Assignment 
Exercises and lab test on the use of appropriate software [for example MATLAB] to manipulate matrices, solve simultaneous equations and visualize engineering functions. 
1,2,3,4,5,7,11 
10.00 
Week 10 
Continuous Assessment 
High threshold coursework (test or assignment) on application of calculus 
4,5,6,7 
10.00 
Week 12 
End of Module Formal Examination 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Formal Exam 
EndofSemester Final Examination 
1,2,3,4,5,6,7,8,9,10,11 
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 lab on using Matlab augmented by tutorial work on problem sheet questions. 
1.00 
Every Week 
1.00 
Independent Learning 
Review of lecture material between lectures, completion of problem sheet questions, completion of computer assignments. Synthesis of course material ahead of final semester exam. 
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 
Lecture 
PT Workload same at FT 
3.00 
Every Week 
3.00 
Lab 
Computer lab on using Matlab augmented by tutorial work on problem sheet questions. 
1.00 
Every Week 
1.00 
Independent Learning 
Review of lecture material between lectures, completion of problem sheet questions, completion of computer assignments. Synthesis of course material ahead of final semester exam. 
3.00 
Every Week 
3.00 
Total Weekly Learner Workload 
7.00 
Total Weekly Contact Hours 
4.00 
Module ResourcesRecommended Book Resources 

 Kuldeep Singh 2011, Engineering Mathematics Through Applications, Palgrave MacMillan [ISBN: 9780230274792]
 Glyn James... [et al.], Modern engineering mathematics, Pearson Prentice Hall Harlow [ISBN: ISBN: 9780132391443]
 Tony Croft,, Foundation Maths, 4ed Ed., Pearson Education [ISBN: ISBN: 9780131979215]
 Brian Hahn,Daniel T. Valentine 2016, Essential MATLAB for Engineers and Scientists, Academic Press [ISBN: 0081008775]
 Recommended Article/Paper Resources 

 David Zarrouk, Moshe Mann, Nir Degani, Tal Yehuda, Nissan Jarbi and Amotz Hess 2016, Single actuator wavelike robot (SAW): design, modeling, and experiments, Bioinspir. Biomim. 11 (2016) 046004
 Other Resources 

 Website: GeoGebra
 Website: Introduction to Matlab' to accompany
'Engineering Mathematics Through
Applications

Module Delivered in
