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- MATH2111
- Engineering Mathematics

- MATH2111
- Engineering Mathematics

- Credits (ECTS): 5

- Mechanical and Design Engineering

Modules are delivered

as part of a programme.

To apply for the

programme,

see the DIT website

## Overview

This Module builds on the fundamental mathematics introduced in first year mathematics and provides a basis for advanced modules in 3rd and 4th year Manufacturing engineering e.g. Mathematics, Fluid Mechanics The module is structured as follows: Knowledge Breadth: This module draws on the fundamental mathematical tools introduced in first year, and introduces further advanced mathematics. This course will give the learner a thorough appreciation of the origins of these mathematics and their applications Knowledge Kind: The learner will have an applied knowledge of the relevant mathematics Know-how and Skill Range: The learner will have an extensive range of skills in the areas of advanced calculus, numerical methods, and linear algebra Know-how and Skill Selectivity: The learner will have a deep knowledge of the areas outlined above, they will also be able to apply these mathematics to advanced problems in many areas of engineering Competence Context: The learner will be able to apply the range of skills developed in this module in a range of manufacturing /mechanical industries. These skills will also be adaptable and may also be applied to both research and development in a diverse variety of areas Competence Role: The learner, as an individual or as part of a team , will be able to perform in the role of an engineer or transfer the knowledge to other situations. Competence Learning to Learn: The learner will have developed skills in the area of self taught research, and the learner will have acquired the skills to further their knowledge. Competence Insight: The learner will have performed many tasks which depend on them thinking for themselves

Module AimsThe aim of this module is to further develop the mathematics introduced in first year and provide a basis for the mathematics in third and fourth year. This module will also link the mathematics learned to applications and provide the mathematical tools necessary for advanced modules in 3rd and 4th year e.g. mathematics and control engineering.

Indicative Syllabus1. Higher Partial derivatives and their physical interpretations, exact differential equations. Directional derivatives, gradient curl and their application to engineering problems e.g. fluid mechanics. Taylor's for several independent variables. Extrema, constrained extrema and their application to engineering for several independent variables. Extrema, constrained extrema and their application to engineering problems.

2. Complex differential calculus, introductory conformal mapping.

3. Solution of differential equations by Laplace transforms.

Calculus

Direct and iterative methods for the solution of linear equations including the Jacobi method and Gauss-Seidel.

Linear Algebra

Numerical methods

Vector spaces, linear transformations, norm, rank, inner product, orthogonality, Gram-Schmidt method, LU decomposition.

Total Contact Teaching Hours:36

Class Size:120

Please note that the catalogue is provided as a guide to modules in DIT. Not all modules listed will necessarily be offered every year and new modules may also be added. Information subject to change. For detail on specific programmes/modules please contact the relevant School directly.