Module Title: Engineering Mathematics 3 English
 Credits: 5
 NFQ Level: 6
Module Delivered In 8 programme(s)
Teaching & Learning Strategies: • 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, Python) 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 Differentiate common mathematical functions
LO2 Apply differential calculus to the solution of engineering-type problems
LO3 Find the partial derivatives and total differentials of multivariable functions and use them to calculate small changes
LO4 Solve mathematical problems using computer programmes
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.
No requirements listed

## Module Content & Assessment

Indicative Content
Differentiation
Derivative in terms of the limit of a function Derivatives of common engineering functions and apply rules of differentiation Second order derivatives and application to engineering problems Second derivative test to find maxima, minima and points of inflection and applications in engineering and kinematics
Partial differentiation
Find the partial derivatives and total differentials of multivariable functions and use them to calculate small changes
Fourier Series
Recognise periodic functions. Fourier Series of a periodic function.
Software Applications
Solve engineering problems, plot graphs and perform mathematical computations through software packages such as Python and/or Matlab
Assessment Breakdown%
Continuous Assessment70.00%
Practical30.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Examination Each student will be obliged to complete a continuous assessment program for which 30% will be awarded. 1,2,3 70.00 n/a
 No Project
Practical
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation Use of software techniques to solve mathematical problems 4 30.00 n/a
 No End of Module Formal Examination

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

Lecture 12 Weeks per Stage 3.00
Practicals 12 Weeks per Stage 2.00
Independent Learning Time 15 Weeks per Stage 4.33
Total Hours 125.00

## Module Delivered In

Programme Code Programme Semester Delivery
CW_EEAER_B Bachelor of Engineering (Honours) in Aerospace Engineering 3 Mandatory
CW_EFARG_B Bachelor of Engineering (Honours) in Agricultural Systems Engineering 3 Mandatory
CW_EMMEC_B Bachelor of Engineering (Honours) in Mechanical Engineering 3 Mandatory
CW_EEROB_B Bachelor of Engineering (Honours) in Robotics and Automated Systems 3 Mandatory
CW_EFARG_D Bachelor of Engineering in Agricultural Systems Engineering 3 Mandatory
CW_EEACS_D Bachelor of Engineering in Aircraft Systems 3 Mandatory
CW_EEMEC_D Bachelor of Engineering in Mechanical Engineering 3 Mandatory
CW_EEROO_D Bachelor of Engineering in Robotics and Automated Systems 3 Mandatory