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 Assessment
60.00%
Practical
40.00%
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