Students who return failing grades in a trimester amounting to 15 credits, or more, will be identified under the UCD Continuation – Academic Progress policy. Students whose rate of progression and performance over two academic years is deemed unacceptable will be referred to the Governing Board to be reviewed for exclusion from the programme.

Students who fail to progress from the stage of the programme they are registered to for more than two academic years (except where a period of Leave of Absence has been granted for one of those years) will also be contacted under the Continuation – Academic Progress Policy.

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.

Students must select a total of 12 modules (60 credits) in Stage 1 with a minimum of 11 modules taken from core and option modules. Core, programme core and option modules are to be taken as directed. An elective module can be taken in the Spring trimester or alternatively, students can register for an additional module from the Science programme.

Students take a minimum of 50 credits of programme modules (core and options). Students must take MATH10040 and MATH10320 in Stage 2 if not previously taken in Stage 1. Students can take up to 10 credits from elective modules or alternatively, they can choose 10 credits from Science option modules.

Module ID	Module Title	Trimester	Credits
Stage 1 Core Modules
MATH10350	Calculus in the Mathematical and Physical Sciences	Autumn	5
SCI10010	Principles of Scientific Enquiry	Autumn	5
ACM10060	Applications of Differential Equations	Spring	5
MATH10340	Linear Algebra in the Mathematical and Physical Sciences	Spring	5
MATH10410	Mathematics & Science Education & Communication	Spring	5
STAT10060	Statistical Modelling	Spring	5
Stage 1 Core Modules
Stage 1 Options - B)MIN0OF: Students wishing to take Mathematics, Applied Mathematics and Education in Stage 2 must take MATH10040 and MATH10320 in Stage 1 or Stage 2.
MATH10040	Numbers & Functions	Autumn	5
MATH10320	Mathematical Analysis	Spring	5
Stage 1 Options - B)MIN0OF: Students wishing to take Mathematics, Applied Mathematics and Education in Stage 2 must take MATH10040 and MATH10320 in Stage 1 or Stage 2.
Stage 1 Options - C)MIN0OF: Students who intend to do Mathematics, Applied Mathematics and Education in Stage 2 who did not achieve a H5 or higher in Higher Level Leaving Certificate Applied Mathematics or equivalent must take ACM10080 in Stage 1.
ACM10080	Introduction to Applied and Computational Mathematics	Autumn	5
Stage 1 Options - C)MIN0OF: Students who intend to do Mathematics, Applied Mathematics and Education in Stage 2 who did not achieve a H5 or higher in Higher Level Leaving Certificate Applied Mathematics or equivalent must take ACM10080 in Stage 1.
Stage 1 Options - D)MIN0OF: Students interested in pursuing Applied and Computational Mathematics or Applied Mathematics and Education may wish to consider the following as option modules.
COMP10290	Computation for Scientists	Autumn	5
STAT10050	Practical Statistics	Autumn and Spring (separate)	5
COMP10020	Introduction to Programming II	Spring	5
Stage 1 Options - D)MIN0OF: Students interested in pursuing Applied and Computational Mathematics or Applied Mathematics and Education may wish to consider the following as option modules.
Stage 1 Options - E)MIN0OF: Students must have a minimum of 55 credits in Science Programme modules. Students may select 60 credits from Science programme modules or they can choose 55 credits and one 5-credit elective for Spring. Careful selection of modules can increase the number of subject areas available to a student in Stage 2.
BIOL00010	Fundamentals of Biology	Autumn	5
BIOL10130	Biology in Action	Autumn	5
BIOL10140	Life on Earth	Autumn	5
CHEM00010	Introductory Chemistry	Autumn	5
CHEM10040	The Molecular World	Autumn	5
CHEM20100	Basis of Inorganic Chemistry	Autumn	5
COMP10010	Introduction to Programming I	Autumn	5
PHIL10160	Critical Thinking	Autumn	5
PHYC10050	Astronomy & Space Science	Autumn	5
PHYC10070	Foundations of Physics	Autumn	5
PHYC10210	Quanta, Particles & Relativity	Autumn	5
PHYC20080	Fields, Waves and Light	Autumn	5
GEOL10050	Earth and Humanity	Autumn and Spring (separate)	5
GEOL10060	Introduction to Earth Sciences	Autumn and Spring (separate)	5
STAT10050	Practical Statistics	Autumn and Spring (separate)	5
ACM10090	Climate Change:Causes & Consequences	Spring	5
BIOL10110	Cell Biology & Genetics	Spring	5
BMOL10030	Biomedical Sciences: Understanding Human Disease.	Spring	5
CHEM10050	Basis of Organic and Biological Chemistry	Spring	5
CHEM20140	Introductory Transition Metal Chemistry	Spring	5
COMP10020	Introduction to Programming II	Spring	5
COMP10060	Computer Science for Engineers I	Spring	5
GEOL10020	Earth Science and Materials	Spring	5
Stage 1 Options - E)MIN0OF: Students must have a minimum of 55 credits in Science Programme modules. Students may select 60 credits from Science programme modules or they can choose 55 credits and one 5-credit elective for Spring. Careful selection of modules can increase the number of subject areas available to a student in Stage 2.
Stage 2 Core Modules
ACM20030	Computational Science	Autumn	5
ACM20050	Classical Mechanics	Autumn	5
EDUC20030	Key Ideas in Education	Autumn	5
MATH20060	Calculus of Several Variables	Autumn	5
MATH20300	Linear Algebra 2 for the Mathematical Sciences	Autumn	5
STAT20110	Introduction to Probability	Autumn	5
ACM20060	Oscillations and Waves	Spring	5
ACM20150	Vector Integral & Differential Calculus	Spring	5
MATH20310	Groups, Rings and Fields	Spring	5
Stage 2 Core Modules
Stage 2 Options - A)MIN0OF: If not previously taken in Stage 1, students enrolled to Stage 2 Mathematics, Applied Mathematics and Education must take MATH10040 and MATH10320 in Stage 2.
MATH10040	Numbers & Functions	Autumn	5
MATH10320	Mathematical Analysis	Spring	5
Stage 2 Options - A)MIN0OF: If not previously taken in Stage 1, students enrolled to Stage 2 Mathematics, Applied Mathematics and Education must take MATH10040 and MATH10320 in Stage 2.
Stage 2 Options - B)MIN0OF: Students who wish to keep Mathematics or ACM open as patways should take STAT20100 and STAT20230 in Stage 2 or Stage 3. Students may wish to consider other options listed her to align with Mathematics and ACM pathways.
STAT20230	Modern Regression Analysis	Autumn	5
STAT10050	Practical Statistics	Autumn and Spring (separate)	5
STAT20100	Inferential Statistics	Spring	5
Stage 2 Options - B)MIN0OF: Students who wish to keep Mathematics or ACM open as patways should take STAT20100 and STAT20230 in Stage 2 or Stage 3. Students may wish to consider other options listed her to align with Mathematics and ACM pathways.
Stage 2 Options - C)MIN0OF: Students may wish to take EDUC20020 in line with other Education pathways.
EDUC20020	Science and Maths Pedagogy	Spring	5
Stage 2 Options - C)MIN0OF: Students may wish to take EDUC20020 in line with other Education pathways.