(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 differentiating a variety single variable and multi variable functions.

LO2

Apply differentiation to a range of real problems in Engineering.

LO3

Demonstrate a competence in integrating a variety of functions and solve simple first order differential equations.

LO4

Apply integration to a range of real problems in Engineering.

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 1” or equivalent

Module Content & Assessment

Indicative Content

(b)Integration

The integral as an anti-derivative. Integration of basic functions by rule. Integration of functions using the special methods of partial fractions, algebraic substitutions and integration by parts. Areas under curves, average and RMS values using the definite integral. Application of integration to areas of engineering

(a) Differentiation

First principles, differentiation as rate of change and slope of a tangent. Basic, product, quotient and chain rules. Applications of derivative to engineering.

Assessment Breakdown

%

Continuous Assessment

40.00%

End of Module Formal Examination

60.00%

Continuous Assessment

Assessment Type

Assessment Description

Outcome addressed

% of total

Assessment Date

Case Studies

n/a

1,2,3,4

40.00

n/a

No Project

No Practical

End of Module Formal Examination

Assessment Type

Assessment Description

Outcome addressed

% of total

Assessment Date

Formal Exam

n/a

1,2,3,4

60.00

End-of-Semester

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