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

Module Aim:

To give the student sufficient mathematical knowledge to support the other modules of the course and provide a solid foundation for further studies

Learning Outcomes

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

LO1

Find the partial derivatives and total differentials of multivariable functions and use them to calculate small changes

LO2

Perform vector operations and apply them in an engineering context

LO3

Solve first order ODEs by various methods and solve engineering problems that involve first order ODEs

LO4

Solve second order ODEs (linear, constant coefficients) and apply them to the solution of initial value and boundary value problems in an engineering context

LO5

Apply probability laws and statistical techniques to practical engineering situations

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.

Year 2 Mathematics or equivalent

Module Content & Assessment

Indicative Content

Partial Differentiation

First and second order partial derivatives
Small change and total differential in engineering

Vectors

Vectors in two and three dimensions
Dot and cross products
Engineering problems with vectors

Laplace Transforms

Introduction to differential equations and their solutions.
Use Laplace Transforms to solve first and second order differential equations.

Statistics and Probability

Representation of data.
Evaluation of mean and standard deviation of ordinary data and data in a frequency distribution
Probability rules and applications
Random variables and simple probability distributions
Binomial and Poisson probability distributions
Continuous random variables.
The Normal distribution.

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

Examination

Each student will be obliged to complete a continuous assessment program

1,2,3,4,5

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 open book examination at the end of the module.

1,2,3,4,5

70.00

End-of-Semester

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