Courses / Course

The minimum requirement for entry to the Higher Diploma in Mathematics is a primary degree in which Mathematics formed a substantial component. This includes degrees such as Mathematical Studies, Computer Science, or Education (with three years of Mathematics). Applicants must have a recognised primary degree which is considered equivalent to Irish university primary degree level.

Minimum English language requirements

• IELTS: 6.5 minimum overall score
• TOEFL (Paper based test): 585
• TOEFL (Internet based test): 95
• PTE(Pearson): 62

National University of Ireland Maynooth’s TOEFL code is 8850

Online application only www.pac.ie/nuim

PAC Code

MHR54 Full-time

MHR55 Part-time 

The following information should be forwarded to PAC, 1 Courthouse Square, Galway or uploaded to your online application form:

Certified copies of all official transcripts of results for all non-NUI Maynooth qualifications listed MUST accompany the application. Failure to do so will delay your application being processed. Non-NUI Maynooth students are asked to provide two academic references and a copy of birth certificate or valid passport.

This is a one-year full-time course, though it may also be taken part-time over two or more years.

Duration: 1 year Full-time, 2 years or more Part-time

Disclaimer
The modules below are indicative of the content associated with this course of study.
The modules are subject to change as the curriculum is revised and reviewed annually. Please check periodically for updates.

Year 1

MATHEMATICS MT500 - MATHEMATICS Credits: 60 Compulsory: Module Code Credits Semester Compulsory ANALYSIS 1 (P) MT232P 5 1 COMPLEX ANALYSIS 1 MT333P 5 2 COMPLEX ANALYSIS 2 MT433P 5 1 DIFFERENTIAL GEOMETRY MT451P 5 1 FRACTALS AND REAL DYNAMICAL SYSTEMS MT480E 5 2 GALOIS THEORY MT442P 5 2 GROUP THEORY 1 MT342P 5 1 GROUP THEORY 2 MT441P 5 1 INTRO.TO PROGRAMMING FOR MATHEMATICIANS MT471S 5 1 METRIC SPACES (REAL ANALYSIS 2) MT332P 5 2 NUMBER THEORY MT444P 5 2 NUMERICAL ANALYSIS MT472S 5 2 PARTIAL DIFFERENTIAL EQUATIONS MT401S 5 2 POINT SET TOPOLOGY MT434P 5 2 READING COURSE MT495R 5 1 READING COURSE MT497R 7.5 1 READING COURSE MT597 10 1 READING COURSE MT697 15 1 READING COURSE MT496R 5 2 READING COURSE MT498R 7.5 2 READING COURSE MT596 7.5 2 READING COURSE MT598 10 2 READING COURSE MT698 15 2 READING COURSE MT594 5 Year-Long READING COURSE MT595 5 Year-Long REAL ANALYSIS 1 MT331P 5 1 RESEARCH PROJECT MT499 7.5 2 RESEARCH PROJECT MT499R 10 2 RESEARCH PROJECT MT699 15 2 RESEARCH PROJECT MT599 10 Year-Long RESEARCH PROJECT MT696 20 Year-Long RINGS & FIELDS 1 MT341P 5 1 RINGS & FIELDS 2 MT344P 5 2 MT500P - MATHEMATICS Credits: 30 Compulsory: Module Code Credits Semester Compulsory ANALYSIS 1 (P) MT232P 5 1 COMPLEX ANALYSIS 1 MT333P 5 2 GROUP THEORY 1 MT342P 5 1 METRIC SPACES (REAL ANALYSIS 2) MT332P 5 2 PARTIAL DIFFERENTIAL EQUATIONS MT401S 5 2 READING COURSE MT397R 5 1 READING COURSE MT398R 5 2 REAL ANALYSIS 1 MT331P 5 1 RINGS & FIELDS 1 MT341P 5 1 RINGS & FIELDS 2 MT344P 5 2

Year 2

MATHEMATICS P/T MT502P - MATHEMATICS P/T Credits: 30 Compulsory: Module Code Credits Semester Compulsory COMPLEX ANALYSIS 2 MT433P 5 1 DIFFERENTIAL GEOMETRY MT451P 5 1 FRACTALS AND REAL DYNAMICAL SYSTEMS MT480E 5 2 GALOIS THEORY MT442P 5 2 GROUP THEORY 2 MT441P 5 1 INTRO.TO PROGRAMMING FOR MATHEMATICIANS MT471S 5 1 NUMBER THEORY MT444P 5 2 NUMERICAL ANALYSIS MT472S 5 2 PARTIAL DIFFERENTIAL EQUATIONS MT401S 5 2 POINT SET TOPOLOGY MT434P 5 2 READING COURSE MT495R 5 1 READING COURSE MT497R 7.5 1 READING COURSE MT597 10 1 READING COURSE MT697 15 1 READING COURSE MT496R 5 2 READING COURSE MT498R 7.5 2 READING COURSE MT596 7.5 2 READING COURSE MT598 10 2 READING COURSE MT698 15 2 READING COURSE MT594 5 Year-Long READING COURSE MT595 5 Year-Long RESEARCH PROJECT MT499 7.5 2 RESEARCH PROJECT MT499R 10 2 RESEARCH PROJECT MT699 15 2 RESEARCH PROJECT MT599 10 Year-Long RESEARCH PROJECT MT696 20 Year-Long

Students who attain First Class Honours or Second Class Grade 1 in the Diploma are eligible to apply to higher postgraduate programs in Mathematics or related fields. The Diploma may also be taken as a final course in Mathematics for those wishing to take up employment in, for example, Industry, Commerce, Banking and Finance, Insurance, Software Development, Process Engineering or Education.

For further information on Postgraduate options please go to the Graduate Studies site