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Mathematics & Computer Studies

About

This department was founded in Mary Immaculate College in 1975 to provide a subject programme in Mathematics for the newly established Bachelor of Education degree. Today, the Department of Mathematics & Computer Studies continues to offer specialized elective Mathematics modules for the B Ed degree as well as undergraduate Mathematics modules for the BA (Liberal Arts).

The name was changed to its present form in 1987 to reflect the involvement of the department in Computer Studies courses for all students and in a number of action-research projects on the applications of computers in education. We offer first year BA students a Computer Skills unit within their Foundation Studies and in second year, we offer BA Elective modules through which students may further advance their knowledge and skills in the area of Information Technology.

Postgraduate research opportunities are also available in mathematics for MA and PhD degrees.

The department also offers undergraduate modules in Business Studies and Accounting, as part of three concurrent BA in Education (post-primary teaching) programmes offered at MIC, St Patrick's Campus, Thurles.

Contact
Head of Department
Bernd Kreussler
+353 61 204578

Staff

Dr Ronan Flatley

BE; BA; HDip Math Sci; MA and PhD (NUI)
Lecturer
  • Phone: +353 61 204308
  • Email: Ronan.Flatley@mic.ul.ie
  • Location: N30

Dr Derek Kitson

PhD (Trinity College Dublin); FHEA; FIMA
Assistant Professor in Mathematics
  • Phone: +353 504 20392
  • Email: Derek.Kitson@mic.ul.ie
  • Location: P215

Dr Arundhathi Krishnan

BSc (University of Madras), MSc, PhD (IIT Madras)
Assistant Professor in Mathematics
  • Email: Arundhathi.Krishnan@mic.ul.ie
  • Location: Thurles, P116

Dr John McCarthy

BSc (Biochemistry, UL), BSc (Computing, London), MBS. Res (UL), PhD in Strategy (Nottingham), Spec. Diploma in Teaching and Learning (UL).
Assistant Professor/Lecturer in Business
  • Email: John.McCarthy@mic.ul.ie
  • Location: R61, Foundation Building

Dr Cian O'Brien

BSc, PhD
Lecturer in Mathematics
  • Phone: 061204970
  • Email: Cian.OBrien@mic.ul.ie
  • Location: N33, Gerard House, Limerick Campus

Dr Páraic Treacy

PhD (UL), B. Sc. (UL), Senior Fellowship (HEA, UK)
Assistant Professor of Mathematics
  • Email: Paraic.Treacy@mic.ul.ie
  • Location: P212 St Patrick's Campus, Thurles

Undergraduate Teaching

Limerick Campus - Mathematics

Broadly speaking, mathematics is the study of quantities and hidden structures through analysis, deduction and calculation. A maths degree should give you the basic ideas of pure and applied mathematics (number theory, linear and abstract algebra, geometry, calculus, computational mathematics, etc), and of probability and statistics.

Maths modules in the BA

Maths elective modules in the BEd

 

Mathematics Support Unit

Weekly tutorial classes in all modules provide considerable assistance towards the development of mathematical understanding and expertise. In conjuction with the Academic Learning Centre a Mathematics Support Unit (MSU) has been established. Through MSU, extra support in an individual or small-group setting is available. The support provision of MSU is coordinated by Bernd Kreussler (Email: Bernd.Kreussler@mic.ul.ie), from whom further details may be obtained.

Limerick Campus - Information Technology

We provide Information Technology modules for Students of Psychology in the BA or BSc as well as elective modules for all BA students in their second year. Taking these modules, students develop a competence in the use of Information and Communication Technologies (ICT) tools to enhance their use of ICT in college and their working life. Participants will be provided with the knowledge, understanding, skills and competencies that allows them to adapt to a world of continuous technological innovations.

Thurles Campus - Business Studies and Accounting

Below is a list of Business Studies & Accounting modules currently on offer at MIC Thurles as part of programmes MI009, MI010, MI012, MI014 and MI015. 

Module Description

The purpose of Fundamental Accounting is to provide learners with introductory knowledge of accounting concepts and principles of accounting. The module will focus on developing a technical competency in the area of double entry accounting. The module will also provide an introduction to accounts preparation for various types of businesses, as well as a preliminary investigation of Business Ethics from an Accounting perspective. 

Learning Outcomes

  • Identify the various user groups of accounting information and describe their respective information requirements
  • Apply fundamental accounting concepts 
  • Interpret the role of Business Ethics from a financial Accounting perspective
  • Evaluate the form and content of accounting records and demonstrate the ability to record financial
  • transactions in the books of original entry
  • Demonstrate an understanding of, and application of the double entry system of bookkeeping and preparation of a trial balance 

ECTS Credits: 6

Year: 1

Module Description

The purpose of the module Regulatory and Legal Framework of Accounting is to provide learners with an appreciation of the factors that shape and govern financial accounting, including the format and content of financial statements as required by certain statutes and other influences. 

Learning Outcomes

  • Evaluate the influence of legislation and accounting standards on the production of published accounting information for organisatios
  • Appraise the accounting standard setting process and analyse specified accounting standards
  • Identify and comment on professional ethical issues relevant to business owners, managers and accountants
  • Describe Business ethics, Corporate Social Responsibility, Corporate Governance and Company Law requirements

ECTS Credits: 6

Year: 1

Module Description

Financial Accounting Principles aims to ensure that learners build on the competencies gained in Fundamental Accounting. The module introduces additional introductory financial accounting concepts and international standards, including IAS 2 and IAS 18. 

Learning Outcomes

  • Compare and contrast various forms of business ownership and key features of financial statements
  • Apply further the double entry system of book keeping including applying financial accounting concepts, accruals and prepayments
  • Prepare financial statements with adjustments for IAS 2 Inventory and IAS 18 revenue recognition, and IAS 16 Depreciation for additions, disposals and revaluations
  • Apply IAS 37 for provisions and deal with Bad Debts
  • Explain and use control accounts

ECTS Credits: 6

Year: 1

Module Description

The purpose of this module is to ensure that learners build on the competencies gained in Fundamental Accounting and Financial Accounting Principles and enhance their knowledge and understanding of more advanced financial accounting issues. This includes a more advanced application of the double entry system of book keeping and the preparation of associated financial statements. 

Learning Outcomes

  • A knowledge of and ability to analyse specified accounting standards
  • An understanding of the distinction between capital and revenue expenditure
  • Prepare the final accounts of different types of sole traders & manufacturing accounts of limited companies
  • Prepare and interpret basic final accounts of limited companies

ECTS Credits: 6

Year: 2

Module Description

The purpose of Management Accounting Principles is to provide learners with introductory knowledge and technical competency in the area of management accounting, with a view to supporting business functions, activities and decision making. 

Learning Outcomes

  • Distinguish between Financial Accounting and Management Accounting in terms of nature, scope and users
  • Examine materials, stock and remuneration methods and calculate the costs involved
  • Generate appropriate product and service costs using traditional and modern approaches, notably activity based and traditional absorption costing
  • Apply fundamental management accounting principles and techniques

ECTS Credits: 6

Year: 2

Module Description

The purpose of the module Management Accounting I is to further develop the technical competency in the field of management accounting. This module will provide learners with the knowledge, skills and competencies to apply the key management accounting principles necessary for management to make better decisions in relation to costing and pricing of products, effective budgets and improving profitability. 

Learning Outcomes

  • Calculate and interpret the cost of products and services using absorption costing
  • Apply marginal costing principles in decision making including cost volume profit
  • Interpret the price setting process and calculate and analyse appropriate variances
  • Analyse budget administration procedures and the processes and principles of budgetary planning and control and prepare various types of budgets
  • Apply fundamental management accounting principles and techniques

ECTS Credits: 6

Year: 2

Module Description

The purpose of this module is to ensure that learners build on the competencies gained in the previous Financial Accounting modules and develop a knowledge and understanding of how to apply more advanced financial accounting issues, including dealing with companies that manufacture products including those which have not maintained a double entry book-keeping system. 

Learning Outcomes

  1. Prepare complete departmental Statement of Comprehensive Income and Statement of Financial Position with adjustments
  2. Explain and use suspense accounts as part of the internal control of an organization and prepare the year end accounts for different enterprises which have not maintained a double entry system of bookkeeping
  3. Explain and demonstrate and critically analyse and interpret financial statements through the use of ratio analysis as a technique in decision making and performance evaluation and demonstrate an ability to communicate these in professional manner to relevant interested parties
  4. Deal with leasing and Borrowing costs

ECTS Credits: 6

Year: 3

Module Description

Advanced Management Accounting aims to provide learners with a comprehensive understanding of the nature and application of advanced management accounting techniques, building on those developed in Management Accounting I. Advanced Management Accounting will focus on the application of this knowledge to aid decision making in organisations, with a particular focus on evaluative situations such as pricing and profitability analysis and allowing for risk. 

Learning Outcomes

  • Comprehensively evaluate the relevant costs and benefits of particular decisions in order to formulate a recommended course of action
  • Evaluate and calculate the implications of various pricing strategies and Identify the optimal transfer pricing for trading situations
  • Calculate and explain a significant range of variances
  • Comprehensively assess and calculate the related measures in order to conduct performance analysis in divisionalised structures

ECTS Credits: 6

Year: 3

Module Description

The purpose of this module is to introduce central concepts of financial management. In so doing, the module examines the operations of capital markets and techniques used to aid corporate long-term and short-term planning. The module will also review the importance of managing working capital and the utilisation of the various sources of finance, including state aid. The workings of the Irish stock exchange and the workings of other financial institutions both home and abroad, will also be examined, as will the skills required to assess the feasibility of investing funds in capital equipment and the cost of capital to be used.

Learning Outcomes

  • Discuss the nature of financial management, the role of the finance manager and the finance function and corporate objectives
  • Assess and evaluate the sources of finance available to a business
  • Demonstrate the management of working capital. Describe the importance of managing working capital and the utilisation of the various sources of finance,including state aid.
  • Calculate the weighted average cost of capital and explain the capital structure debate and systematic & unsystematic risk and portfolio theory
  • Assess the feasibility of investing funds in capital equipment and apply a range of analytical tools in the appraisal of capital investment opportunities

ECTS Credits: 6

Year: 3

Module Description

The purpose of Financial Reporting is to provide learners with the necessary knowledge, skills and competencies required to prepare the final accounts of different types of enterprise incorporating more advanced International Accounting Standards. Also to complete published accounts in line with these and prior international standards and analysis thereof and complete cash flow statements in line with IAS 7. 

Learning Outcomes

  1. Prepare final accounts of different types of enterprises, including published accounts preparation, applying the relevant standards including IAS 36, IAS 32 & IAS 39 with previous standards.
  2. Critically analyse and apply specific accounting standards & IAS 7

ECTS Credits: 6

Year: 4

Module Description

An understanding of statistical and mathematical concepts is central to the modern practice of business. Much of the relevant academic business literature and corporate research is highly mathematical, thus the ability to interpret and analyse mathematical findings is essential for modern business students. The purpose of this module is to develop computational and mathematical skills and to prepare learners for the practical application of these concepts in relevant business and financial situations. This module also seeks to develop, with students, a systematic approach to dealing with numerical data in business and financial contexts.

Learning Outcomes

  • Analyse, interpret and present statistical data and business problems in a logical and coherent manner
  • Apply algebraic formulae to a range of business problems and solve financial problems using relevant tools and techniques
  • Perform calculations using Time Series and Index Numbers and provide interpretations of the results
  • Apply the techniques of regression analysis and linear programming to relevant business and financial examples
  • Develop a confident approach to using and applying business mathematics.
  • Develop information technology skills using spreadsheets to present and manipulate data.

ECTS Credits: 6

Year: 1

Module Description

This module is designed to provide a comprehensive introduction to the area of management. It introduces students to key managerial issues and wider environmental factors affecting organisations. This module aims to develop with students a realistic understanding about management practice and to investigate this in line with management theory. 

Learning Outcomes

  • Investigate the concept of the organisation, the organisation’s environments and the tools available to managers when evaluating their internal and external environment
  • Explain the concepts of stakeholders, business ethics and corporate social responsibility
  • Evaluate key management concepts, including the functions of management and the skills of effective and efficient management practice
  • Analyse a business case study
  • Appreciate historical influences on contemporary management approaches.
  • Recognise the complex nature of management in organisations

ECTS Credits: 6

Year: 1

Module Description

This module seeks to examine the nature and purpose of Marketing. As a discipline, Marketing has both organisational and societal underpinnings. This module is designed to support students in exploring marketing practice from both an organisational and societal perspective.  The module will trace the development of marketing as a business philosophy. Students will also engage with contemporary marketing issues including changing consumption behaviour, the global factors at play in marketing and the focus on customer experience and engagement. 

Learning Outcomes

  • Evaluate the activities conducted by marketers.
  • Analyse the factors impacting on the marketing function, including environmental and consumer based factors.
  • Engage with marketing mix activities from both a theoretical and a practical perspective.
  • Evaluate the impact of marketing as a cultural force on society

ECTS Credits: 6

Year: 1

Module Description

An understanding of statistical and mathematical concepts is central to the modern practice of business. Much of the relevant academic business literature and corporate research is highly mathematical, thus the ability to interpret and analyse mathematical findings is essential for modern business students. The purpose of this module is to introduce students to fundamental computational and mathematical skills applicable to business and to prepare learners for the practical application of these concepts in relevant situations. This module also helps students develop a systematic approach to dealing with numerical data in business and financial contexts. This module differs from the 6 credit Business Mathematics module (MH4741) in terms of the syllabus, teaching strategy, learning outcomes and mode of assessment.

Learning Outcomes

  • Prepare, interpret and present statistical data in a logical and coherent manner
  • Demonstrate the application of algebraic formulae to a range of business problems and solve financial problems using relevant tools and techniques
  • Perform fundamental calculations using Time Series analysis and interpret the results
  • Use the techniques of regression analysis in relevant business and financial examples
  • Develop a confident approach to using and applying business mathematics.
  • Develop information technology skills using spreadsheet techniques to present and manipulate data.

ECTS Credits: 3

Year: 1

Module Description

Business Studies Accounting aims to provide learners with the necessary skills, knowledge and competence to assemble, record, process, analyse and interpret financial statements with adjustments. It also aims to provide the skills necessary to prepare and interpret cash budgets, as well as providing for material and stock control. 

Learning Outcomes

  • Apply fundamental accounting concepts and introduction to accounting terminology
  • Apply principles of the Double Entry System of Book-keeping in order to prepare a Trial Balance , Statement of Comprehensive Income and Statement of Financial Position with adjustments
  • Perform, interpret and report on ratio analysis of financial statements
  • Examine various IASs, including IAS 2, IAS 16 and IAS 37
  • Prepare and Interpret cash budgets

ECTS Credits: 6

Year: 2

Module Description

Those involved in decision making in organisations must have a broad knowledge of the principles of Irish and EU law and their impact on commercial transactions. The purpose of this module is to introduce learners to the legal and regulatory environment in which a business operates and to develop an awareness of the legal issues relevant to management practice. In so doing this module provides an overview of the legal context of business through an examination of Irish and EU law. This module also investigates contract law and tort. Learners are also exposed to an investigation of the law relating to commercial transactions, company law and the protection of proprietary knowledge through intellectual property law.

Learning Outcomes

  • Identify the key structures of the Irish and European legal system and explain how they apply to business in Ireland
  • Evaluate the principles of contract law, tort, commercial law and EU law
  • Demonstrate a critical understanding of the duty of intellectual property law and its role in the creation of value for organisations
  • Apply the concepts and principles of the law to business situations

ECTS Credits: 6

Year: 2

Module Description

Those involved in decision making in organisations must have a broad knowledge of the principles of Irish and EU law and their impact on commercial transactions. The purpose of this 3 credit module is to introduce learners to the legal and regulatory environment in which a business operates and to develop an awareness of the legal issues relevant to management practice. In so doing this module provides an overview of the legal context of business through an examination of Irish and EU law. This module also investigates contract law and tort. Learners are also exposed to an investigation of the law relating to commercial transactions, company law and the protection of proprietary knowledge through intellectual property law. 

Learning Outcomes

  • Identify the key structures and processes involved in Irish and European law
  • Explain what the law of Tort and law of contract are and how they apply to Irish business
  • Describe the key aspects of Irish commercial and intellectual property law
  • Outline the details and significance of employment law to Irish business

ECTS Credits: 3

Year: 2

Module Description

Organisations do not operate in a vacuum; instead they form part of a complex eco-system consisting of other firms, local communities, the Government and the wider domestic and international economies. This module introduces students to economic theory. The objectives are to provide students with the basic tools to apply economic analysis to real life problems and to ensure an understanding of macroeconomic issues such as unemployment and inflation. 

Learning Outcomes

  • Assess the theoretical basis of micro- and macro-economic issues and the debates surrounding them.
  • Estimate price, quantity and equilibrium of different market structures.
  • Evaluate the impact and effect of micro-economic and macro-economic issues and policies on national key economic indicators.
  • Appreciate Economics as a discipline and its applications for everyday life.
  • Form opinions on Economic issues based on considered research and informed thought.

ECTS Credits: 6

Year: 2

Module Description

Increasingly managers are tasked with managing information and information systems, to improve their personal performance and the overall performance of the organisation. The purpose of this module is to introduce students to Information Systems in the context of business, with a focus on the application of Information Systems in the facilitation of business processes. The module aims to give students a realistic understanding of how continuing developments in Information Technology influence the use of Business Information Systems and contribute to business success. In addition, students will gain skills in business analytics and decision support systems by engaging with advanced spreadsheet and database management programs, using MS Excel and MS Access respectively. 

Learning Outcomes

  • Analyse the concept of Information Systems, the management of IS and how IT impacts business environments
  • Explain how ethical, legal and security issues impact on an organisation’s use of IS
  • Discuss the importance of networks and data communication, and systems analysis, design and control to business
  • Demonstrate proficiency in advanced MS Excel and MS Access skills
  • Develop information technology skills using spreadsheet and database software to present and manipulate data

ECTS Credits: 6

Year: 3

Module Description

Organisations are complex social entities encompassing many problematic organizational and managerial issues. The purpose of this module is to familiarise students with this ambiguity, through a political, psychological and sociological understandings of human behaviour in organisations. This module aims to investigate the complex behavioural issues that concern individuals and groups in the workplace, while also emphasising that organizational behaviour does not occur in a vacuum, but happens within a wider social, political, economic and cultural context. Overall, this module aims to highlight the complexities arising from the social processes that constitute life in organisations.

Learning Outcomes

  • Analyse the complexities of organisations as social systems
  • Evaluate key concepts and theories with regard to individual behaviour in organisations
  • Evaluate key concepts and theories with regard to group and team behaviour in organisations
  • Evaluate key concepts and theories with regard to organizational level processes and structure

ECTS Credits: 6

Year: 3

Module Description

The Irish economy is one of the most globally integrated economies in world. As such the objective of this module is to explore Ireland’s position within the world economy. This exploration is built upon an understanding of the Irish economy itself and its transition from a small closed economy to a regional economy with high levels of integration with the global economy. The course then explores the global economy in terms of growth, production and international trade. The overall aim of this module is to provide students with an evidence-based analysis of the Irish economy and its place within the global economy. 

Learning Outcomes

  • Analyse the factors that have led to Ireland's economic development
  • Critically evaluate Ireland's role in the world economy
  • Critically assess the theoretical basis of global economic issues and the debates surrounding them
  • Evaluate current economic issues and challenges facing the global economy.

ECTS Credits: 6

Year: 3

Module Description

This module introduces students to both the theoretical and practical underpinnings of entrepreneurship. Through an exploration of the entrepreneurial context and new firm formation the module provides opportunities for students to develop and demonstrate knowledge and understanding of the importance of entrepreneurship and the entrepreneurial process. Building upon theoretical concepts, the module also gives students a more pragmatic insight into the processes and systems required to conceive, research, and present a credible business plan in order to gain the necessary resources to start a new entrepreneurial firm. The overall aim of the module is to aid in the development of an entrepreneurial 

mind-set among students, including; developing abilities in creativity, innovation and problem solving, all of which are built upon an appreciation of the role and function of entrepreneurs and their impact on society. 

Learning Outcomes

  • Evaluate the nature of entrepreneurship and the characteristics and roles of the entrepreneur
  • Discuss the economic and societal functions of entrepreneurship
  • Evaluate the management challenges faced by entrepreneurs
  • Analyse the role of the social entrepreneur and the values underpinning social entrepreneurship
  • Critically assess the economic/social viability of a new business through the application and use of business planning.
  • Develop an appreciation of the entrepreneurial mind-set and the entrepreneurial journey

ECTS Credits: 6

Year: 3

Module Description

Strategy is concerned with the overall direction of the firm, and the complex and uncertain decision-making processes taken with a view to creating a sustainable competitive advantage. The module examines the complexities surrounding managerial decision making at the strategic level of the firm. In so doing, the module aims to provide an appreciation of the dynamic and uncertain nature of strategic management in practice, the process of strategy formulation, and the structures and systems required for strategy implementation within an organisation.

Learning Outcomes

  • Critically evaluate organisational systems from a strategy perspective, including the strategic purpose of the firm&
  • Determine the use of appropriate models and analytical tools to analyse the firm’s internal and external environment, in the context of sustaining competitive advantage
  • Explain methods used to pursue strategies and evaluate strategic options
  • Explain methods of strategy development and critique issues faced by managers when formulating and implementing strategy
  • Apply strategic management theory to case scenarios of strategic management challenges.

ECTS Credits: 6

Year: 3

Postgraduate Studies

MA and PhD in Mathematics at MIC

The Department of Mathematics and Computer Studies at Mary Immaculate College invites applications from graduates who wish to pursue postgraduate research in Mathematics for an MA or PhD thesis.

Requirements

General requirements and regulations follow those set out by the University of Limerick.

While, in general, the minimum entry requirement for students who wish to pursue postgraduate studies by research and thesis is a second-class honours (grade two) at undergraduate level, it is likely that successful candidates will have a 2.1 honours degree or higher. However, the most important prerequisite is a strong interest in the subject, independent of previous academic awards.

Well-qualified and highly-motivated graduates (B.A. or B.Ed.) are encouraged to proceed by research and thesis to M.A. and Ph.D. levels of postgraduate study in mathematics.

To Apply

If you are thinking about postgraduate studies as an option for you, don't hesitate to talk to a member of the Department of Mathematics and Computer Studies.

Departmental Assistantships 2023 - Applications Open

The Department of Mathematics and Computer Studies is now accepting applications from potential research MA/PhD students for at least one funded Departmental Assistantship in Mathematics beginning in September 2023.

Application deadline: 19 May 2023.

General information on the Departmental Assistantship funding scheme

To be considered for a Departmental Assistantship, applicants should identify a research topic
and supervisor, and complete a research postgraduate application.

For further information, please contact Bernd Kreussler, Head of Department (Bernd.Kreussler@mic.ul.ie).

Research

Research activities of department members are conducted in the following areas.

Mathematics and Computer Studies

  • Pedagogical strategies that utilise ICT to enhance the Teaching & Learning environment; development and expansion of our Graduate Diploma Master in ICT to post primary sector.  (Niamh Armstrong)
  • Complex Algebraic geometry and Homological Algebra; Homological Mirror Symmetry; Bridgeland Stability Conditions; Classification of complex manifolds and Twistor spaces.  (Bernd Kreussler)
  • Algebraic Vector Bundles and Principal Bundles, Moduli Spaces and Moduli Stacks.  (Norbert Hoffmann)
  • Central simple algebras with involution; The algebraic theory of quadratic forms.  (Ronan Flatley)
  • Operator theory; discrete geometry; combinatorics.  (Derek Kitson)
  • Mathematics Education; STEM Education; mathematics curriculum change; student transition from second level to third level mathematics study.  (Páraic Treacy)

Business and Accounting

  • Qualitative and quantitative research methods, IT management and digital transformation, IT and organisational capability maturity, digital technology adoption within the education sector, digital literacy.  (Dr Marian Carcary)
  • Management Education, Reflective Learning Journals, Literary Networks and Connections, Business History, Creative Industries.  (Dr Deirdre Brady)

Maths Enrichment

Academic mathematicians from UL and MIC help interested secondary school students to deepen their understanding of mathematics, improve their problem-solving skills and prepare them for participation in Mathematical Olympiads.

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