(a) A series of lectures will be delivered using whiteboard and data projector.
(b) The Institute Managed Learning Environment will be used to interactively communicate with students e.g. on-line test, discussion forums, reference information
(c) Mathematical software (e.g. Matlab) will be used by students to re-enforce the mathematical principles and practices

Module Aim:

To give the students the knowledge, competencies and skills necessary to support the mathematical procedures encountered in the other modules of this course.

Learning Outcomes

On successful completion of this module the learner should be able to:

LO1

Demonstrate a competence in solving First and Second order differential equations.

LO2

Use Fourier series to analyse periodic functions.

LO3

Use Laplace transforms to solve first and second order IVP's.

LO4

Use probability distributions to model uncertainty.

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.

Mathematics 2 or equivalent

Module Content & Assessment

Indicative Content

A.Differential Equations

Solve variable separable and linear first order differential equations.
Solve second order homogeneous and non-homogeneous differential equations.

B.Fourier Series

Recognise periodic functions. Even and odd functions. Be able to obtain the Fourier Series of a periodic function. Derive half-range sine and cosine series

C.Laplace Transforms

Find the Laplace Transform of standard functions. Find inverse Laplace Transforms. Find the Laplace Transform of derivatives and use Laplace Transforms to solve IVP's.

D.Probability

Use probability distributions to calculate probability values.

Assessment Breakdown

%

Continuous Assessment

30.00%

End of Module Formal Examination

70.00%

Continuous Assessment

Assessment Type

Assessment Description

Outcome addressed

% of total

Assessment Date

Other

Each student will be obliged to complete a continuous assessment program for which a maximum of 30% will be awarded.

1,2,3,4

30.00

n/a

No Project

No Practical

End of Module Formal Examination

Assessment Type

Assessment Description

Outcome addressed

% of total

Assessment Date

Formal Exam

Each student will sit a formal written examination at the end of the module for which 70%will be awarded

1,2,3,4

70.00

End-of-Semester

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