Short Title:  Mathematics 1 

Full Title:  Mathematics 1 

Field of Study:  Mechanics and metal work 

Reviewed By:  DIARMUID RUSH 

Module Author:  Ciaran O Sullivan 

Module Description:  The first aim of Mathematics 1 is to allow a thorough revision and consolidation of key basic mathematical topics that have been encountered by students prior to entry to higher education. The second aim is to deepen the students understanding of key mathematical ideas regarding engineering functions, iteration and calculus in such a way as to support other engineering modules. 

Learning Outcomes 
On successful completion of this module the learner will be able to: 
LO1 
Manipulate and solve algebraic expressions and equations. 
LO2 
Apply the basic techniques of trigonometry to solve problems in engineering. 
LO3 
Find the equation of a straight line through data. 
LO4 
Convert coordinates from Cartesian to polar form. 
LO5 
Manipulate vectors and apply them to simple problems in engineering 
LO6 
Perform algebra involving complex numbers. 
LO7 
Graph functions, identify 11 functions, apply the algebra of functions, recognise and do calculations with periodic functions, log and exponential functions. 
LO8 
Solve a variety of trigonometric equations involving engineering waves. 
LO9 
Apply the standard techniques of differential calculus. 
LO10 
Safely backup electronic data by managing files and folders using a file management system. 
LO11 
Use common Mathematical, Engineering and Financial formulae in a spreadsheet. 
LO12 
Plot linear data, draw inferences, find the equation of the line of best fit and use appropriate software (e.g. Excel) to plot linear data and find its equation. 
Module Content & Assessment
Course Work 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Short Answer Questions 
Diagnostic test to identify for students key areas of consolidation in the first 5 weeks of term. 
1,2,3,6 
1.00 
Week 1 
Continuous Assessment 
High threshold test at the end of review material. 
1,2,3,4,6 
14.00 
Week 5 
Assignment 
Assignment to
(a) collect, plot and interpolate linear data;
(b)to plot polynomial, power law, exponential, logarithmic and trigonometric functions using appropriate software tools (for example Excel or Geogrebra). 
3,7,10,11,12 
10.00 
Week 10 
Continuous Assessment 
High threshold coursework ( test or assignment) on rules on vectors and rules of differentiation. 
5,9 
5.00 
Week 12 
End of Module Formal Examination 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Formal Exam 
EndofSemester Final Examination 
1,2,3,4,5,6,7,9 
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 labs on graphing engineering function and using excel. Followed by tutorial work on problem sheets. 
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 
No Description 
3.00 
Every Week 
3.00 
Lab 
Computer labs on graphing engineering function and using excel. Followed by tutorial work on problem sheets. 
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, 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 [ISBN: 9780131979215]
 Anthony Croft, Robert Davison, Martin Hargreaves, Engineering mathematics [ISBN: ISBN 0130268585]
 This module does not have any article/paper resources 

Other Resources 


Module Delivered in
