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MST10040

Academic Year 2024/2025

Combinatorics & Number Theory (MST10040)

Subject:
Mathematical Studies
College:
Science
School:
Mathematics & Statistics
Level:
1 (Introductory)
Credits:
5
Module Coordinator:
Assoc Professor Mark Dukes
Trimester:
Autumn
Mode of Delivery:
On Campus
Internship Module:
No
How will I be graded?
Letter grades

Curricular information is subject to change.

In this module we introduce and develop some of the basic ideas in the areas of Combinatorics and Number Theory.

A sample of topics covered are: mathematical induction; permutations and combinations; counting arguments; modular arithmetic; Euclidean algorithm; Fermat's and Euler's theorems; fundamental theorem of arithmetic; systems of linear congruences and the Chinese remainder theorem.

About this Module

Learning Outcomes:

Students should be able to recognise, read and correctly use standard mathematical symbols and notation. They should be able to ask pertinent questions, to decide which questions are relevant, answerable and so on. They must understand the reasoning behind any methods or procedures they use and be able to demonstrate that understanding. Students must also be able to produce examples themselves, in order to illustrate a definition, show a method, or test boundaries of an idea.

Student Effort Hours:
Student Effort Type Hours
Lectures

18

Tutorial

11

Specified Learning Activities

54

Autonomous Student Learning

17

Total

100


Approaches to Teaching and Learning:
Lectures, tutorials, enquiry and problem-based learning

Requirements, Exclusions and Recommendations
Learning Recommendations:

To take this course you must have achieved at least H4 at Higher Level Leaving Certificate Mathematics (Project Maths) or equivalent. In particular, Ordinary Level Leaving Certificate Mathematics is NOT adequate.


Module Requisites and Incompatibles
Incompatibles:
MATH10040 - Numbers & Functions, MATH20130 - Fund. Actuarial Mathematics I


 

Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Exam (In-person): Mid-term exam Week 7 Standard conversion grade scale 40% No
40
No
Exam (In-person): Final exam End of trimester
Duration:
2 hr(s)
Standard conversion grade scale 40% No
40
No
Quizzes/Short Exercises: Quizzes during tutorials Week 3, Week 5, Week 8, Week 10 Standard conversion grade scale 40% No
20
No

Carry forward of passed components
No
 

Resit In Terminal Exam
Spring Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Sebastian Benedikt Flad Tutor
Andrew Mullins Tutor
Mr Pádraig Ryan Tutor

Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Autumn Lecture Offering 1 Week(s) - Autumn: All Weeks Fri 14:00 - 14:50
Autumn Lecture Offering 1 Week(s) - Autumn: All Weeks Thurs 13:00 - 13:50
Autumn Tutorial Offering 1 Week(s) - Autumn: All Weeks Mon 13:00 - 13:50
Autumn Tutorial Offering 2 Week(s) - Autumn: All Weeks Mon 16:00 - 16:50
Autumn Tutorial Offering 3 Week(s) - Autumn: All Weeks Wed 15:00 - 15:50