Module: Engineering Mathematics I

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Engineering Mathematics I
Module Code	EM121 (ITS) / EEG1007 (Banner)
Faculty	Engineering & Computing	School	Mechanical & Manufacturing Eng
Module Co-ordinator	Conor Brennan
Module Teachers	Bryan Mac Donald
NFQ level	6	Credit Rating	5
Pre-requisite	Not Available
Co-requisite	Not Available
Compatibles	Not Available
Incompatibles	Not Available

None
Resit of formal examination only

Description

The aims of the modules are - To introduce engineering students to the central role that mathematics plays in the development and practice of engineering. To motivate the comprehension and use of important analytical concepts, calculus methods and linear mathematics fundamental to engineering. To help students to begin to develop the skill of analysing problems in a rational (rigorous, logical) and methodical manner. To develop the students’ ability to transfer their mathematical understanding (and the associated methods) to diverse engineering application areas. To introduce students to mathematical computation, realisation and visualisation using Matlab. To help students towards self-diagnosis and self-help in filling gaps in their mathematical education.

Learning Outcomes

1. Use vectors and associated coordinate systems appropriately in the representation and manipulation of measured quantities
2. Manipulate algebraic expressions.
3. Appropriately apply and manipulate real-valued functions commonly used in engineering applications
4. Demonstrate a repertoire of problem-solving skills and an ability to generalise and transfer ideas, appropriate to simple engineering applications of mathematical concepts;
5. Make effective use of a mathematical software tool such as Matlab in understanding, solving and visualising simple engineering mathematics problems;
6. Use references to appropriately acknowledge the work of others in any work that they submit for assessment
7. Demonstrate self-learning skills for the use of mathematical techniques in engineering contexts, with particular reference to (i) recognising and remedying gaps in their mathematical knowledge and (ii) developing strategies for life-long learning;
8. Use mathematical terminology and formulae to communicate effectively to other technically literate people

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	36	Formal lectures
Laboratory	4	Matlab based practical assessment of numerical methods in mathematics
Tutorial	12	Practical exercises that apply theory learned in lectures
Online activity	40	Online homeworks due every two weeks with immediate feedback (via webworks)
Independent Study	33	No Description
Total Workload: 125

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Review of algebraic techniques

Coordinate Systems

Vectors

Real valued function concepts

Compositions

Inverses

Standard functions

Polynomials

Rational functions

Trigonometric & exponential functions

Introduction to Calculus

Assessment Breakdown
Continuous Assessment	25%	Examination Weight	75%

Type	Description	% of total	Assessment Date
Course Work Breakdown
Participation	Homework problems entered into Webworks	25%	Every Second Week

Reassessment Requirement Type
Resit arrangements are explained by the following categories: Resit category 1: A resit is available for both* components of the module. Resit category 2: No resit is available for a 100% continuous assessment module. Resit category 3: No resit is available for the continuous assessment component where there is a continuous assessment and examination element.
* ‘Both’ is used in the context of the module having a Continuous Assessment/Examination split; where the module is 100% continuous assessment, there will also be a resit of the assessment
This module is category 3

Indicative Reading List

K.A. Stroud: 2020, Engineering Mathematics, 8th Edition, Red Globe Press, 978-135201027

Other Resources

None