Short Title:Technical Mathematics 2
Full Title:Technical Mathematics 2
Module Code:MATH H1075
Credits: 5
NFQ Level:6
Field of Study:Electricity and energy
Module Delivered in 2 programme(s)
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, co-ordinate 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.
Pre-requisite learning
Co-requisite Modules
No Co-requisite 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 non-normal patterns and their causes. Population and sample. Summary statistics: mean, median, mode, range, standard deviation.
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 2-d, use of funtool GUI, simple script files for plotting.
Simultaneous linear equations. Completing the square.
Basic concepts. Graphs of functions. Drawing graphs of quadratic functions using the completed square. Function inverses
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).
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 2-D. Transformation of vectors in 2-D by f: (x,y) ?( ax + by, cx + dy)
Sine and cosine rules. Solving trigonometric equations of form Acos(Bx+C) = D and Asin(Bx+C) = D .
Assessment Breakdown%
Course Work35.00%
End of Module Formal Examination65.00%
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 re-take 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 End-of-Semester Final Examination 1,2,3,4,5,6,7,8 65.00 End-of-Semester
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 Resources

Required 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

Programme Code Programme Semester Delivery
TA_EAEEE_B Bachelor of Engineering (Honours) in Sustainable Energy Engineering 2 Mandatory
TA_EAEEE_D Bachelor of Engineering in Sustainable Energy & Environmental Engineering 2 Mandatory