Module Title:Advanced Mathematics IV
Language of Instruction:English
Credits: 5
NFQ Level:8
Module Delivered In 2 programme(s)
Teaching & Learning Strategies: Lectures Practical Work Private Study
Module Aim: The aim of this module is to further develop an awareness of the role of mathematics in the solution of engineering problems.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1 apply statistical methods in the analysis of risk and reliability of engineering systems.
LO2 formulate and solve certain types of initial value and boundary value problems encountered in a civil engineering context.
LO3 use MATLAB and write MATLAB programmes to model and solve civil engineering problems.
Pre-requisite learning
Module Recommendations

This is prior learning (or a practical skill) that is recommended before enrolment in this module.

No recommendations listed
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed.
No requirements listed

Module Content & Assessment

Indicative Content
(1) Statistics
(a) Linear correlation (b) Linear regression, confidence intervals and prediction intervals.
(2) Ordinary Differential Equations
(a) First order differential equations. (b) Linear second order differential equations and initial value problems. (c) Free and forced vibrations, resonance and damping. (d) Boundary value problems. (e) Systems of linear first order equations.
(3) Partial Differential Equations
(a) Introduction to partial differential equations. (b) Solution of boundary value problems.
(4) Numerical methods
(a) Numerical solution of ordinary differential equations using MATLAB and/or Excel. (b) Introduction to finite element methods using MATLAB. (c) Numerical integration.
Assessment Breakdown%
Continuous Assessment40.00%
End of Module Formal Examination60.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other Typically end of module examinations and practical exercises. 1,2,3 40.00 n/a
No Project
No Practical
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam No Description 1,2 60.00 End-of-Semester

ITCarlow reserves the right to alter the nature and timings of assessment


Module Workload

Workload: Full Time
Workload Type Frequency Average Weekly Learner Workload
Lecture 30 Weeks per Stage 1.00
Estimated Learner Hours 30 Weeks per Stage 1.50
Practicals 30 Weeks per Stage 1.00
Total Hours 105.00

Module Delivered In

Programme Code Programme Semester Delivery
CW_CMHCE_B Bachelor of Engineering (Honours) in Civil Engineering - Ab Initio 7 Mandatory
CW_CMCEN_B Bachelor of Engineering (Honours) in Civil Engineering - Add On 3 Mandatory