Short Title:  Technical Mathematics 2 

Full Title:  Technical Mathematics 2 

Field of Study:  Electricity and energy 

Reviewed By:  JOHN ANDREW DONNELLAN 

Module Author:  Ciaran O Sullivan 

Module Description:  The first aim of Technical Mathematics 2 is to enable the student to master a broad range of
standard mathematical techniques in statistics, algebra, geometry, coordinate geometry and
trigonometry 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. The second aim is to
deepen the students understanding of key mathematical ideas regarding data presentation and
interpretation, engineering functions, and trigonometry in such a way as to support other
engineering modules. The third aim is to extend the students use of software applications in
the visualisation and processing of engineering data. 

Learning Outcomes 
On successful completion of this module the learner will be able to: 
LO1 
Collect and organise data using appropriate software. 
LO2 
Present suitable data sets using line diagrams,
histograms and frequency curves constructed using
appropriate software. 
LO3 
Calculate summary statistics: mean, median, mode,
range, standard deviation using appropriate software. 
LO4 
Manipulate vectors and apply them to simple problems
in engineering. 
LO5 
Solve simultaneously a pair of linear equations. 
LO6 
Perform calculations with such engineering functions as
rational, periodic, log and exponential functions using a
scientific calculator. 
LO7 
Plot engineering functions manually and using
appropriate software. 
LO8 
Apply log and exponential functions to engineering
problems involving growth and decay models using
appropriate tools. 
Prerequisite learning 

Corequisite Modules
 No Corequisite modules listed 
Module Content & Assessment
Content (The percentage workload breakdown is inidcative and subject to change) 
% 
Working with data: Collecting data: tallies. Organising data: frequency tables. Graphs:
histograms, pie charts, frequency curves  typical nonnormal
patterns and their causes. Population and sample. Summary
statistics: mean, median, mode, range, standard deviation.

17.00% 
Software skills: Spreadsheets: Formatting text, cells, number, %, currency. Borders
and fills. Headers/footers. Sorting data. Zoom. Worksheets. Page
set up and printing. Further plotting charts & graphs. Selection.
Simple macros.
Visualisation package (eg.Matlab): plotting data in 2d, use of funtool
GUI, simple script files for plotting.

10.00% 
Algebra: Simultaneous linear equations. Completing the square.

8.00% 
Functions: Basic concepts. Graphs of functions. Drawing graphs of quadratic
functions using the completed square. Function inverses

9.00% 
Engineering Functions: Engineering functions on a calculator. Polynomials, rational, power,
exponential and logarithmic (natural, base 2, base 10) functions.
Plotting functions using appropriate tools. Application of
engineering functions: solving equations involving logarithmic and
exponential functions; growth and decay model problems. Definition
of periodic functions. Graphs of trigonometric functions. Alteration
of a functional description as a result of transformations in the
plane. Plotting the graph of f(x+a) given graph of f(x). Classification
of types of signals (even, odd, convex, concave, monotone,
continuous, differentiable). Construction of simple 2 part piecewise
defined functions using if then else ( e.g. sawtooth wave).

25.00% 
Vectors: Scalars and vectors. Addition and subtraction of vectors. Modulus of a vector. Unit vectors. Resolution into component form. Scalar product. Angle between two vectors in 2D. Transformation of vectors in 2D by f: (x,y) ?( ax + by, cx + dy)

19.00% 
Trigonometry: Sine and cosine rules. Solving trigonometric equations of form Acos(Bx+C) = D and Asin(Bx+C) = D .

12.00% 
Assessment Breakdown  % 
Course Work  35.00% 
End of Module Formal Examination  65.00% 
Course Work 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Continuous Assessment 
High threshold ‘Key Skills’ quiz, testing key basic mathematical techniques needed for this semester. First opportunity to take the test is in week 1 and several opprotunities will be given the student during the semester to retake the test to improve their score. 
3,4,5,6,7,8 
15.00 
Week 1 
Project 
Assignment on collecting, representing and analysing data using appropriate software (for example Excel or MINITAB) 
1,2,3 
10.00 
Week 6 
Practical/Skills Evaluation 
Laboratory based test to plot functions and investigate polynomial, power law, exponential, logarithmic and trigonometric functions using appropriate software tools (for example Excel and MATLAB) 
5,6,7,8 
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 
65.00 
EndofSemester 
Reassessment Requirement 

Repeat examination Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element. 
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 
Laboratories 
Computer labs using excel, minitab or matlab 
1.00 
Every Week 
1.00 
Independent Learning 
Review of lecture material between lectures, completion of problem sheet questions, reflection on keyskills. 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 
This module has no Part Time workload. 

Module ResourcesRequired Book Resources 

 Anthony Croft, Robert Davison, Foundation Maths, 4th ed Ed., Pearson Education [ISBN: 9780131979215]
 James Reilly, Using Statistics, 1st ed Ed., Gill & Macmillan [ISBN: 9780717140220]
 Recommended Book Resources 

 CALMAT Learning Environment, CALMAT Team, 4th ed Ed., Glasgow Caledonian Uni UK
 Kuldeep Singh, Engineering mathematics through applications, 1st ed Ed. [ISBN: 0  333 – 92224 – 7]
 This module does not have any article/paper resources 

This module does not have any other resources 

Module Delivered in
