BSc Mathematics wth Extended Studies in Europe
Academic Year 2018/19
A programme specification is required for any programme on which a student may be registered. All programmes of the University are subject to the University's Quality Assurance processes. All degrees are awarded by Queen's University Belfast.
Programme Title |
BSc Mathematics wth Extended Studies in Europe |
Final Award |
Bachelor of Science |
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Programme Code |
MTH-BSC-S |
UCAS Code |
G104 |
HECoS Code |
100329 |
ATAS Clearance Required |
No |
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Mode of Study |
Full Time |
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Type of Programme |
Single Honours |
Length of Programme |
4 Academic Year(s) |
Total Credits for Programme |
480 |
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Exit Awards available |
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INSTITUTE INFORMATION
Teaching Institution |
Queen's University Belfast |
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School/Department |
Mathematics & Physics |
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Framework for Higher Education Qualification Level |
Level 6 |
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QAA Benchmark Group |
Mathematics, Statistics and Operational Research (2015) |
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Accreditations (PSRB) |
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Institute of Mathematics and its Applications |
Date of most recent Accreditation Visit 04-06-13 |
REGULATION INFORMATION
Does the Programme have any approved exemptions from the University General Regulations No |
Programme Specific Regulations Students will not be permitted to register for Stage 2 unless they have passed all their core Level 1 modules. |
Students with protected characteristics N/A |
Are students subject to Fitness to Practise Regulations (Please see General Regulations) No |
EDUCATIONAL AIMS OF PROGRAMME
- Demonstrate appropriate understanding of the basic body of knowledge of mathematics, and appropriate skill in manipulation of this knowledge, including in its application to problem solving
- Apply core mathematics concepts in well-defined contexts, through the judicious use of analytical and computational methods, tools and techniques and the judicious use of logical arguments
- Analyse problems through their formulation in terms of mathematics
- Communicate mathematical arguments to a range of audiences in both written and oral form
- Demonstrate advanced French or Spanish language skills, knowledge of the cultures and societies in which French or Spanish is spoken
LEARNING OUTCOMES
Learning Outcomes: Cognitive SkillsOn the completion of this course successful students will be able to: |
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Apply mathematical knowledge logically and accurately in the solution of examples and small-scale problems. |
Teaching/Learning Methods and Strategies By its nature, mathematics has to be presented logically. The lectures and model examples to problems provide exemplars of this logical structure. They also identify the tools needed to address certain problems. Tutorial problems and assignments offer the students opportunities to develop their logical reasoning skills, to develop skills in organising their reasoning and application of mathematics, and to develop skills in the selection of techniques. Methods of Assessment The assessment of these skills is implicit in most methods of assessment, including exams, coursework, practical and project work. The overall degree of success in any assessment depends to a large extent on students’ mastery of logical and accurate methods of solution, well-organised structure of answers, and the identification of the appropriate solution method. |
Conduct a small-scale mathematical investigation under supervision. |
Teaching/Learning Methods and Strategies The project modules will offer the students the opportunity to identify what it takes to carry out a longer mathematics investigation. These skills are also developed through extended assignments in a wide range of modules across the entire spectrum. Methods of Assessment These skills are assessed mainly through project reports and oral presentations on project work of increasing complexity, culminating in the final project |
Analyse small-scale problems and situations in mathematical terms, and identify the appropriate mathematical tools and techniques for their solution. |
Teaching/Learning Methods and Strategies By its nature, mathematics has to be presented logically. The lectures and model examples to problems provide exemplars of this logical structure. They also identify the tools needed to address certain problems. Tutorial problems and assignments offer the students opportunities to develop their logical reasoning skills, to develop skills in organising their reasoning and application of mathematics, and to develop skills in the selection of techniques. Methods of Assessment The assessment of these skills is implicit in most methods of assessment, including exams, coursework, practical and project work. The overall degree of success in any assessment depends to a large extent on students’ mastery of logical and accurate methods of solution, well-organised structure of answers, and the identification of the appropriate solution method. |
Organise their work in a structured manner |
Teaching/Learning Methods and Strategies By its nature, mathematics has to be presented logically. The lectures and model examples to problems provide exemplars of this logical structure. They also identify the tools needed to address certain problems. Tutorial problems and assignments offer the students opportunities to develop their logical reasoning skills, to develop skills in organising their reasoning and application of mathematics, and to develop skills in the selection of techniques. Methods of Assessment The assessment of these skills is implicit in most methods of assessment, including exams, coursework, practical and project work. The overall degree of success in any assessment depends to a large extent on students’ mastery of logical and accurate methods of solution, well-organised structure of answers, and the identification of the appropriate solution method. |
Learning Outcomes: Knowledge & UnderstandingOn the completion of this course successful students will be able to: |
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Demonstrate some understanding of the connection between different areas of mathematics and/or between mathematics and other sciences and application areas |
Teaching/Learning Methods and Strategies Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study. Methods of Assessment This is tested in particular in the project modules, as this is where outside applications may primarily appear. Modules in applied mathematics and statistics may demonstrate application in physics, medicine, business and finance. |
Demonstrate understanding, and application of this understanding, within a range of more specialist optional topics |
Teaching/Learning Methods and Strategies Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study. Methods of Assessment Formal exams, class tests, small reports, presentations |
Understand and appreciate the importance of mathematical logic |
Teaching/Learning Methods and Strategies Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study. Methods of Assessment Formal exams, class tests, small reports, presentations |
Use these fundamental concepts and techniques in a range of application areas, including, for example, partial differential equations, mechanics, numerical analysis, statistics and operational research |
Teaching/Learning Methods and Strategies Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study. Methods of Assessment Formal exams, class tests, small reports, presentations |
Demonstrate understanding of the fundamental concepts and techniques of calculus, analysis, algebra, linear algebra and numerical methods |
Teaching/Learning Methods and Strategies Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study. Methods of Assessment Formal exams, class tests, small reports, presentations |
Learning Outcomes: Subject SpecificOn the completion of this course successful students will be able to: |
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Demonstrate understanding of logical mathematical arguments, including mathematical proofs and their construction, and apply these arguments appropriately. |
Teaching/Learning Methods and Strategies Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding and application of logical mathematical arguments and/or analytic/numerical mathematical techniques. Assignments also assist the development of understanding in these areas. Methods of Assessment Assessment is mainly through formal examination and class tests for lecture-based modules. This assessment is supplemented through written reports and oral presentations. For project modules, the latter is the main method of assessment. |
Apply a wide range of analytic and/or numerical mathematical techniques within well-defined contexts, and to formulate and solve problems in more loosely defined contexts. |
Teaching/Learning Methods and Strategies Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding and application of logical mathematical arguments and/or analytic/numerical mathematical techniques. Assignments also assist the development of understanding in these areas. Methods of Assessment Assessment is mainly through formal examination and class tests for lecture-based modules. This assessment is supplemented through written reports and oral presentations. For project modules, the latter is the main method of assessment. |
Use a range of mathematical software for the solution of mathematical problems. |
Teaching/Learning Methods and Strategies Basic skills are developed through the mathematical modelling module and the computer algebra module. Numerical analysis and statistics oriented modules have associated computer practicals, using appropriate specialist software. Methods of Assessment These skills are primarily assessed through reports and presentations associated with work carried out using mathematical software. |
Present mathematical findings through oral and written means to a range of audiences. |
Teaching/Learning Methods and Strategies Communication through reports and/or oral presentations forms a compulsory part of many modules across the entire range of modules offered. Methods of Assessment These skills are primarily assessed through compulsory reports and presentations within many modules. |
Learning Outcomes: Transferable SkillsOn the completion of this course successful students will be able to: |
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Adopt an analytic approach to problem solving. |
Teaching/Learning Methods and Strategies Analytic thinking is part of any module in mathematics, and is therefore cultivated through the tutorials, practicals and assignments associated with each lecture-based module, including all the project components. Methods of Assessment Analytic thinking is embedded implicitly in every assessment within mathematics. |
Use computer technology efficiently for a variety of purposes. |
Teaching/Learning Methods and Strategies Basic computer modelling skills are developed through the mathematical modelling module and the computer algebra module. Numerical analysis and statistics oriented modules have associated computer –oriented tasks, where students can develop skills in the use of appropriate specialist software. Methods of Assessment Computer modelling skills are primarily assessed through reports and presentations associated with work carried out using mathematical software. |
Use computer technology efficiently for a variety of purposes. |
Teaching/Learning Methods and Strategies Any assignment or coursework or project work involves the communication of mathematical ideas, and these skills are thus embedded indirectly in any module. Methods of Assessment The assessment of communication skills takes place through the reports and presentations, where higher skill levels will result in higher overall marks. |
Manage their time. |
Teaching/Learning Methods and Strategies Project work associated with modules at each Level are the prime method for development. The increase in level of complexity of such projects throughout the programme, in line with student’s overall development, will implicitly develop the students’ skills in project management. Methods of Assessment These skills are assessed implicitly as part of any project component to a module. A higher level of skill in time management will provide student with greater opportunity to present a well thought-through report, which allows the students to better highlight their achievements. |
Oversee small-scale projects. |
Teaching/Learning Methods and Strategies Project work associated with modules at each Level are the prime method for development. The increase in level of complexity of such projects throughout the programme, in line with student’s overall development, will implicitly develop the students’ skills in project management. Methods of Assessment These skills are assessed implicitly as part of any project component to a module. A higher level of skill in time management will provide student with greater opportunity to present a well thought-through report, which allows the students to better highlight their achievements. |
Present findings through oral communication. |
Teaching/Learning Methods and Strategies Any assignment or coursework or project work involves the communication of mathematical ideas, and these skills are thus embedded indirectly in any module. Methods of Assessment The assessment of communication skills takes place through the reports and presentations, where higher skill levels will result in higher overall marks. |
Present findings through written reports. |
Teaching/Learning Methods and Strategies Any assignment or coursework or project work involves the communication of mathematical ideas, and these skills are thus embedded indirectly in any module. Methods of Assessment The assessment of communication skills takes place through the reports and presentations, where higher skill levels will result in higher overall marks. |
Learning Outcomes: Cognitive SkillsOn the completion of this course successful students will be able to: |
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Discuss certain mathematical topics reasonably accurately in French or Spanish |
Teaching/Learning Methods and Strategies The full year placement in a partner University provides an opportunity for personal development in another institution and culture while maintaining academic progress. Modules selected with the partner institution provide the equivalent core concepts as developed in the home institution and offer the opportunity to learn mathematics using French or Spanish Methods of Assessment Calculated mark based on local assessment results |
Learning Outcomes: Knowledge & UnderstandingOn the completion of this course successful students will be able to: |
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Demonstrate knowledge of how to recognise, understand, analyse and produce a range of registers, media and types of French or Spanish discourse. |
Teaching/Learning Methods and Strategies Lectures and tutorials; group presentations; essays; guided independent study. French written and oral communication skills are developed through presentations, translations of literature and contemporary journalistic material and the preparation of different types and styles of documentation. These core skills are developed more thoroughly during the year placement in a French-speaking or Spanish-speaking institution Methods of Assessment Written examinations; oral presentations; oral examinations; essays and other written coursework exercises |
Learning Outcomes: Subject SpecificOn the completion of this course successful students will be able to: |
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Demonstrate effective subject-specific mathematics learning in French or Spanish |
Teaching/Learning Methods and Strategies The full year placement in a partner University provides an opportunity for personal development in another institution and culture while maintaining academic progress. modules selected with the partner institution provide the equivalent core concepts as developed in the home institution Methods of Assessment Calculated mark based on local assessment results |
Learning Outcomes: Transferable SkillsOn the completion of this course successful students will be able to: |
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Demonstrate knowledge of how to make successful oral presentations in French or Spanish and how to sustain advanced discourse in the language. |
Teaching/Learning Methods and Strategies Lectures and tutorials; group presentations; essays; guided independent study. French written and oral communication skills are developed through presentations, translations of literature and contemporary journalistic material and the preparation of different types and styles of documentation. These core skills are developed more thoroughly during the year placement in a French-speaking or Spanish-speaking institution Methods of Assessment Oral presentations; oral examinations; essays and other coursework exercises |
Demonstrate advanced knowledge of contextual topics in either French and francophone literature, culture, linguistics and the visual arts or Spanish and Hispanic literature, culture, linguistics and the visual arts. |
Teaching/Learning Methods and Strategies Lectures and tutorials; group presentations; essays; guided independent study. French or Spanish written and oral communication skills are developed through presentations, translations of literature and contemporary journalistic material and the preparation of different types and styles of documentation. These core skills are developed more thoroughly during the year placement in a French-speaking or Spanish-speaking institution Methods of Assessment Written examinations; oral presentations; oral examinations; essays and other written coursework exercises |
MODULE INFORMATION
Stages and Modules
Module Title |
Module Code |
Level/ stage |
Credits |
Availability | Duration |
Pre-requisite |
Assessment | |||||
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S1 | S2 | Core | Option | Coursework % | Practical % | Examination % | ||||||
Spanish 1 | SPA1101 | 1 | 40 | YES | YES | 24 weeks | N | YES | 45% | 20% | 35% | |
French 1 | FRH1101 | 1 | 40 | YES | YES | 24 weeks | N | YES | 45% | 20% | 35% | |
Analysis and Calculus | AMA1020 | 1 | 30 | YES | YES | 24 weeks | N | YES | 0% | 10% | 90% | |
Numbers, Vectors and Matrices | PMA1020 | 1 | 30 | YES | YES | 12 weeks | N | YES | 0% | 10% | 90% | |
Mathematical Reasoning | PMA1021 | 1 | 10 | YES | 24 weeks | N | YES | 60% | 40% | 0% | ||
Mathematical Modelling | AMA1021 | 1 | 10 | YES | 12 weeks | N | YES | 80% | 20% | 0% | ||
Fluid Mechanics | AMA2005 | 2 | 20 | YES | 12 weeks | Y | YES | 20% | 0% | 80% | ||
Analysis | PMA2002 | 2 | 20 | YES | 12 weeks | Y | YES | 25% | 0% | 75% | ||
Numerical Analysis | AMA2004 | 2 | 20 | YES | 12 weeks | Y | YES | 40% | 10% | 50% | ||
Classical Mechanics | AMA2001 | 2 | 20 | YES | 12 weeks | Y | YES | 20% | 0% | 80% | ||
Group Theory | PMA2008 | 2 | 20 | YES | 12 weeks | Y | YES | 20% | 0% | 80% | ||
Spanish 2 | SPA2101 | 2 | 40 | YES | YES | 24 weeks | Y | YES | 45% | 20% | 35% | |
French 2 | FRH2101 | 2 | 40 | YES | YES | 24 weeks | N | YES | 45% | 20% | 35% | |
Introduction to Partial Differential Equations | AMA2008 | 2 | 10 | YES | 6 weeks | Y | YES | 60% | 0% | 40% | ||
Linear Algebra & Complex Variables | PMA2020 | 2 | 30 | YES | YES | 18 weeks | Y | YES | 10% | 0% | 90% | |
Working and Studying Abroad | FRH3050 | 3 | 20 | YES | YES | 52 weeks | N | YES | 50% | 50% | 0% | |
Working and Studying Abroad | SPA3050 | 3 | 20 | YES | YES | 52 weeks | N | YES | 50% | 50% | 0% | |
International Placement: Languages Year Abroad | MML3040 | 3 | 100 | YES | YES | 52 weeks | N | YES | 0% | 100% | 0% | |
Quantum Theory | AMA3002 | 4 | 20 | YES | 12 weeks | N | YES | 30% | 0% | 70% | ||
Linear & Dynamic Programming | SOR3001 | 4 | 20 | YES | 12 weeks | Y | YES | 20% | 10% | 70% | ||
Tensor Field Theory | AMA3003 | 4 | 20 | YES | 12 weeks | N | YES | 20% | 0% | 80% | ||
Partial Differential Equations | AMA3006 | 4 | 20 | YES | 12 weeks | N | YES | 20% | 0% | 80% | ||
Computer Algebra | PMA3008 | 4 | 20 | YES | YES | 12 weeks | N | YES | 0% | 100% | 0% | |
Ring Theory | PMA3012 | 4 | 20 | YES | 12 weeks | N | YES | 20% | 0% | 80% | ||
Set Theory | PMA3014 | 4 | 20 | YES | 12 weeks | N | YES | 30% | 0% | 70% | ||
Financial Mathematics | AMA3007 | 4 | 20 | YES | 12 weeks | N | YES | 20% | 10% | 70% | ||
Mathematical Investigations | PMA3013 | 4 | 20 | YES | 12 weeks | N | YES | 90% | 10% | 0% | ||
Calculus of Variations & Hamiltonian Mechanics | AMA3013 | 4 | 20 | YES | 12 weeks | N | YES | 30% | 0% | 70% | ||
Mathematical Modelling in Biology and Medicine | AMA3014 | 4 | 20 | YES | 12 weeks | N | YES | 50% | 0% | 50% | ||
Metric and Normed Spaces | PMA3017 | 4 | 20 | YES | 12 weeks | N | YES | 20% | 0% | 80% | ||
Algebraic Equations | PMA3018 | 4 | 20 | YES | 12 weeks | N | YES | 10% | 10% | 80% | ||
Spanish 3 | SPA3101 | 4 | 40 | YES | YES | 24 weeks | Y | YES | 45% | 20% | 35% | |
French 3 | FRH3101 | 4 | 40 | YES | YES | 24 weeks | N | YES | 45% | 20% | 35% | |
Applied Mathematics Project | AMA3011 | 4 | 20 | YES | YES | 12 weeks | N | YES | 80% | 20% | 0% |
Notes
At Stage 1 Students are required to take the four compulsory modules listed below and either FRH1101 or SPA1101
At Stage 2 Students must take either FRH2101 or SPA2101 and an approved combination of 4 Level 2 modules . This choice must include AMA2008 and PMA2020. To avail of the full range of Pure Mathematics modules at level 3 Students should also include PMA2002. Not all of the modules below will necessarily be offered in every academic year.
At Stage 4 Students must take FRH 3101 or SPA3101 and an approved combination of four Level 3 modules. The choice must include either PMA3013 or AMA3011.
Stage 3 - Year abroad (not assessed): Students are expected to take an approved Erasmus programme of study at a French-speaking or Spanish-speaking university or, alternatively, an approved placement in a French-speaking or Spanish-speaking country.