Module Title: Engineering Mathematics IV English
 Credits: 5
 NFQ Level: 8
Module Delivered In 1 programme(s)
Teaching & Learning Strategies: Lectures, practicals, private study
Module Aim: The aim of this module is to equip students with the skills to use vector and matrix methods to model and solve civil engineering problems.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1 Use vectors to model more complicated problems involving forces and motion.
LO2 Describe the nature and behaviour of scalar and vector fields.
LO3 Use matrix methods to solve systems of linear equations and linear differential equations.
LO4 Write simple programs using MATLAB.
Pre-requisite learning
Module Recommendations

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

10415 MATH C2502 Mathematics and Statistics II
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.
No requirements listed

## Module Content & Assessment

Indicative Content
Vector methods
(a) Review of material previously covered. (b) Scalar and vector products. (c) Calculus for vector functions of a variable. (d) Application of vector methods to modelling of forces and motion.
Scalar and vector fields
(a) Scalar and vector fields. (b) Gradient, divergence and curl. (c) Application to heat and fluid flow.
Matrix methods
(a) Review of material previously covered. (b) Types of solution sets for non-homogeneous systems and homogeneous systems, overdetermined and underdetermined systems. (c) Eigenvalues and eigenvectors. (d) Using eigenvalues and eigenvectors to solve systems of linear differential equations.
Introduction to programming with MATLAB
(a) Operators and arrays. (b) Script files. (c) Function files. (d) Plotting 2-D and 3-D graphs. (d) Relational and logical operators. (e) Conditional statements and Loops.
Assessment Breakdown%
Continuous Assessment60.00%
Practical40.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Examination Class Test 1 1,2 30.00 Week 8
Examination Class Test 2 3 20.00 Week 13
Short Answer Questions Quiz questions 1,2,3 10.00 Ongoing
 No Project
Practical
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation Assessed Practical 1 1,2,4 20.00 Week 6
Practical/Skills Evaluation Assessed Practical 2 3,4 20.00 Week 12
 No End of Module Formal Examination

SETU Carlow Campus reserves the right to alter the nature and timings of assessment