Module Title: Advanced Mathematics III English
 Credits: 5
 NFQ Level: 8
Module Delivered In 2 programme(s)
Teaching & Learning Strategies: Lectures; Practical Work; Private Study
Module Aim: The aims of this module are: (1) to introduce students to the mathematical concepts and techniques that they will encounter in the various engineering disciplines that form part of a civil engineering degree course; (2) to 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 solve problems involving differentiation and integration;
LO2 solve systems of linear equations using matrix methods;
LO3 apply vector methods to the solution of simple problems in statics and structures;
LO4 use MATLAB and write MATLAB programs to model and solve civil engineering problems;
LO5 apply statistical methods in the analysis of risk and reliability of engineering systems.
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
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed.
Bachelor of Engineering (Ordinary) in Civil Engineering

## Module Content & Assessment

Indicative Content
Calculus revision
(1) Product, quotient, chain rules for differentiation; (2) Implicit, parametric and logarithmic differentiation; (3) Integration using substitution, partial fractions and parts; (4) Partial differentiation.
Linear Algebra
(1) Matrices and matrix operations; (2) Matrix inverses, determinants and ranks; (3) Solution of systems of linear equations; (4) Eigenvalues, eigenvectors, diagonalisation.
Vectors and Vector Calculus
(1) Scalar and vector products; (2) Vector differential calculus; (3) Gradient, divergence and curl.
MATLAB
(1) Introduction to MATLAB; (2) Linear algebra and matrices using MATLAB.
Statistics
(1) Probability concepts and the axioms of probability; (2) Binomial, Poisson and geometric distributions; (3) The normal, exponential and uniform distributions.
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 assessments. 1,2,3,4,5 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 Exam 1,2,3,5 60.00 End-of-Semester

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