Mathematics (MMS1)

If you are interested in doing an Internship as part of Stage 4, you must indicate your interest now (in Stage 3).
See full details www.ucd.ie/science/careers/internships/students/

Curricular information is subject to change

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This programme is aimed at students who wish to gain a deep understanding of the concepts of modern mathematics and statistics, and a mastery of the associated skills and technologies. Our students will become autonomous inquisitive learners capable of formulating and creatively solving relevant problems in the language of mathematics and statistics. Our graduates will be in demand by employers and academic research institutesfor their ability to explain, describe and predict using the tools they have learned. We value students who are motivated to find the underlying mathematical causes and reasons for observations and patterns. We aim to provide a teaching and learning environment that develops confidence and independence through a wide variety of interactive formats, both inside and outside the classroom, including lectures, tutorials, webwork, blackboard and computer assisted labs.


1 - Demonstrate an in-depth understanding of mathematics
2 - Use the language of logic to reason correctly and make deductions
3 - Approach problems in an analytical, precise and rigorous way
4 - Explore and manipulate abstract concepts
5 - Apply mathematical reasoning and techniques to formulate and solve problems
6 - Model real-world problems in a mathematical framework
7 - Confidently analyze and draw information from large quantities of data
8 - Analyze and interpret data, find patterns and draw conclusions
9 - Use the power of modern technology to augment mathematical problem solving
10 - Work independently and as part of a team
11 - Carry out research into a specific topic, including a survey and synthesis of the known literature
12 - Give oral presentations of technical mathematical material at a level appropriate for the audience, whether specialist or nonspecialist
13 - Prepare a written report on technical mathematical content in clear and precise language
Approved Additional Standards for Continuation in undergraduate degree programmes in Science (all majors):

Students who return failing grades in a semester amounting to 15 credits, or more, will be identified under the UCD Continuation and Readmission Policy. Students whose rate of progression and performance over two academic sessions (2 years) is deemed unacceptable will be referred to the Academic Council Committee on Student Conduct and Capacity for exclusion from the programme.

As Stages 3 and 4 have the most dynamic components of the programme, and the material studied previously may no longer be relevant, a student who has been away from the programme for a significant period should be required to register again to Stage 3. The upper limit for completion of Stages 3 and 4 should be six years, if they choose to do 120 credits with 20 in each year.
Each year sees new applications of sophisticated mathematical models and procedures, using computers, in insurance and actuarial services, the stock market, banking and industry. Employers in all of these areas seek mathematics graduates. Our recent graduates have found work in diverse areas including:

  • Actuarial science
  • Banking and financial services
  • Civil service executive and administrative grades
  • Coding and cryptography companies
  • IT industry
  • Meteorology

    Graduate opportunities for Mathematics graduates include MSc programmes in Mathematics and Mathematical Sciences, as well as PhDs, in Ireland and abroad, leading to research in universities, research institutes or the industrial world.
  • Stage 3

    Students take 6 core modules and 4 option modules from the list given below. Elective modules may be selected from this list to complete Stage 3.
    If you are interested in doing an Internship as part of Stage 4, you must indicate your interest now (in Stage 3). See full details www.ucd.ie/science/careers/internships/students/

    Stage 4

    Students take 7 core modules and 25 credits from the list of option modules.

    Module ID Module Title Trimester Credits
    Stage 3 Core Modules
         
    MATH30030 Advanced Linear Algebra Autumn

    5

    MATH30090 Metric Spaces Autumn

    5

    MATH30360 Measure Theory and Integration Autumn

    5

    MATH30040 Functions of One Complex Variable Spring

    5

    MATH30130 Number Theory Spring

    5

    MATH40630 Ring Theory Spring

    5

    Stage 3 Core Modules
         
    Stage 3 Options - A)MIN3OF:
    Students not required to take STAT20110 should select at least four option modules listed below.
         
    ACM30080 PDEs in Financial Maths Autumn

    5

    MATH30290 Mathematical Logic Autumn

    5

    MATH40240 Combinatorics Autumn

    5

    MATH40370 Differential Geometry Autumn

    5

    MATH40510 Set Theory Autumn

    5

    ACM30020 Advanced Mathematical Methods Spring

    5

    MATH30250 Cryptography: Theory & Practice Spring

    5

    MATH40310 Functional Analysis Spring

    5

    STAT20100 Inferential Statistics Spring

    5

    Stage 3 Options - A)MIN3OF:
    Students not required to take STAT20110 should select at least four option modules listed below.
         
    Stage 3 Options - B)MIN0OF:
    For students registered to Stage 3 Mathematics, STAT20110 must be taken if not previously taken in Stage 2. This will count as your Stage 3 Option module.
         
    STAT20110 Probability Theory Autumn

    5

    Stage 3 Options - B)MIN0OF:
    For students registered to Stage 3 Mathematics, STAT20110 must be taken if not previously taken in Stage 2. This will count as your Stage 3 Option module.
         
    Stage 4 Core Modules
         
    MATH40240 Combinatorics Autumn

    5

    MATH40370 Differential Geometry Autumn

    5

    MATH40510 Set Theory Autumn

    5

    MATH30250 Cryptography: Theory & Practice Spring

    5

    MATH40310 Functional Analysis Spring

    5

    MATH40480 Stochastic Analysis Spring

    5

    MATH40630 Ring Theory Spring

    5

    Stage 4 Core Modules
         
    Stage 4 Options - A)MIN4OF:
    Students must select at least 25 credits from the list of options below. Students who successfully completed SCI30080 will be registered by the School to the module.
         
    ACM40290 Numerical Algorithms Autumn

    5

    MATH30290 Mathematical Logic Autumn

    5

    MST30020 History of Mathematics Autumn

    5

    SCI30080 Professional Placement-Science Autumn

    5

    STAT30090 Models - Stochastic Models Autumn

    5

    STAT30240 Predictive Analytics I Autumn

    5

    ACM30100 Maths of machine Learning Spring

    5

    ACM40690 Survey of Appl and Comp Math Spring

    5

    MATH40560 Undergraduate Research Project Spring

    10

    MST30030 Financial Mathematics Spring

    5

    STAT40150 Multivariate Analysis Spring

    5

    Stage 4 Options - A)MIN4OF:
    Students must select at least 25 credits from the list of options below. Students who successfully completed SCI30080 will be registered by the School to the module.
         
    Stage 4 Options - B)MIN0OF:
    Students take MST30060 subject to resourcing and approval of the module coordinator. Students can only take MST30060 in Stage 4 if they have taken MATH30340 in Stage 3.
         
    MST30060 Undergraduate Ambassadors Scheme Spring

    5


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