Explore UCD

UCD Home >

Physics, Mathematics & Education

BSc (NFQ Level 8)
I am an

This course is available through the following application route(s)

Contact UsContact Us

If you are interested in Physics and Mathematics, and think you might like to teach these subjects at post-primary level, then this degree subject may be for you. you. It is designed so that you study physics, mathematics and education in an integrated manner. Throughout the course you will gain teaching experience through structured educational placements.

About This Course

If you are interested in Physics and Mathematics, and think you might like to teach these subjects at post-primary level, then this degree subject may be for you. you. It is designed so that you study physics, mathematics and education in an integrated manner. Throughout the course you will gain teaching experience through structured educational placements.

The four-year BSc Physics, Mathematics & Education leads directly to the one-year MSc Mathematics and Science Education. On completion of both degrees, you are fully qualified to teach Physics and Mathematics to Higher Level Leaving Certificate Level and Science to Junior Certificate Level.

Information on all our courses including pathways, internships and careers information is available in the UCD Science Undergraduate Courses Entry 2025 Brochure (PDF).

Physics, Mathematics & Education is one of the degree subjects in the Science, Mathematics & Education stream in the common entry Science course. Students study the modules required for the Physics, Mathematics & Education in first year and will study modules for a minimum of two degree subjects in second year. Students interested in Science, Mathematics & Education degree subjects also have the choice to pursue the modules required for degree subjects in other streams within the common entry Science course. At the end of second year, students choose their degree subject. As we offer a number of degree subjects in each stream, students have a number of similar degree subjects to choose from and if a degree subject is oversubscribed, places are allocated on a competitive basis.

For more information on choosing a degree subject at the end of Second Year, visit the Science, Mathematics & Education stream page.

This is a sample set of modules that a Physics Mathematics & Education student could study each year in UCD.

First Year

Scientific Enquiry • Mathematics & Science Education & Communication • Foundations of Physics • Frontiers of Physics • Linear Algebra • Calculus • Statistical Modelling • Option Modules • Elective Module

Second Year

Key Ideas in Education • Science & Mathematics Pedagogy • Quantum Mechanics • Electronics and Devices • Fields, Waves and Light • Methods for Physicists • Thermal Physics • Calculus of Several Variables • Differential Equations • Mathematical Analysis • Elective Modules

Third Year

Schools and Society • Post-Primary Placement • Peer-Assisted Tutoring • Classical Mechanics and Relativity • Electromagnetism • Nuclear Physics • Algebraic Structures • Probability Theory • Option Modules • Elective Modules

Fourth Year

Pedagogical Approaches to Mathematics and Science • Psychology for Teaching & Learning • Year-Long Placement in Post-Primary School • Group Theory • Geometry • Complex Analysis • History of Mathematics

Fifth Year

Research Methods • Professional Dissertation • Year-Long Placement in Post-Primary School • Continuous Professional Development

After graduating with their BSc, students proceed to the MSc in Mathematics and Science Education.

Placements are integrated into this 5-year course from first year, with all undergraduate placements arranged for you.

During the last two years of the course, students complete year-long placements at two different post-primary schools. These placements are designed so that students not only obtain teaching experience, but also gain a whole-of-school experience through participating in parent-teacher meetings, timetabling etc. The complete five- year course is fully accredited by the Teaching Council of Ireland.

UCD Science Office

You can contact the UCD Science Office in the following ways:




  • Submit your query using our dedicated Contact Form.

  • Drop into the office in the UCD O'Brien Centre for Science, Science East, Room E1.09. Our office opening hours are 10am to 4pm (during term time).


Below is a list of all modules offered for this degree in the current academic year. Click on the module to discover what you will learn in the module, how you will learn and assessment feedback profile amongst other information.

Incoming Stage 1 undergraduates can usually select an Elective in the Spring Trimester. Most continuing undergraduate students can select up to two Elective modules (10 Credits) per stage. There is also the possibility to take up to 10 extra Elective credits.

Module Type Module   Trimester Credits
Stage 1 Core Modules
 MATH10350 Calculus in the Mathematical and Physical Sciences Autumn  5
Stage 1 Core Modules
 SCI10010 Principles of Scientific Enquiry Autumn  5
Stage 1 Core Modules
 ACM10060 Applications of Differential Equations Spring  5
Stage 1 Core Modules
 MATH10340 Linear Algebra in the Mathematical and Physical Sciences Spring  5
Stage 1 Core Modules
 MATH10410 Mathematics & Science Education & Communication Spring  5
Stage 1 Core Modules
 PHYC10080 Frontiers of Physics Spring  5
Stage 1 Core Modules
 STAT10060 Statistical Modelling Spring  5
Stage 1 Options - A) Min 0 of:
Students who did not achieve a H5 or better in Leaving Certificate Physics must take PHYC10070 in Stage 1. Students who did not achieve a H5 or better in Leaving Certified Applied Mathematics must take ACM10080 in Stage 1. Students who did not achieve a H5 or better in Leaving Certified Computer Science or equivalent must take COMP10290 in Stage 1.
ACM10080 Introduction to Applied and Computational Mathematics Autumn  5
Stage 1 Options - A) Min 0 of:
Students who did not achieve a H5 or better in Leaving Certificate Physics must take PHYC10070 in Stage 1. Students who did not achieve a H5 or better in Leaving Certified Applied Mathematics must take ACM10080 in Stage 1. Students who did not achieve a H5 or better in Leaving Certified Computer Science or equivalent must take COMP10290 in Stage 1.
COMP10290 Computation for Scientists Autumn  5
Stage 1 Options - A) Min 0 of:
Students who did not achieve a H5 or better in Leaving Certificate Physics must take PHYC10070 in Stage 1. Students who did not achieve a H5 or better in Leaving Certified Applied Mathematics must take ACM10080 in Stage 1. Students who did not achieve a H5 or better in Leaving Certified Computer Science or equivalent must take COMP10290 in Stage 1.
PHYC10070 Foundations of Physics Autumn  5
Stage 1 Options - B) Min 0 of:
Students who intend to take Mathematics, Physics and Education in Stage 2 must take MATH10320, PHYC10250 and PHYC20080 in either Stage 1 or Stage 2. PHYC20080 should only be taken by students in Stage 1 if they have achieved H5 in both Mathematics and Physics at Leaving Certificate or equivalent.
 PHYC10250 Thermal Physics and Materials Autumn  5
Stage 1 Options - B) Min 0 of:
Students who intend to take Mathematics, Physics and Education in Stage 2 must take MATH10320, PHYC10250 and PHYC20080 in either Stage 1 or Stage 2. PHYC20080 should only be taken by students in Stage 1 if they have achieved H5 in both Mathematics and Physics at Leaving Certificate or equivalent.
 MATH10320 Mathematical Analysis Spring  5
Stage 1 Options - B) Min 0 of:
Students who intend to take Mathematics, Physics and Education in Stage 2 must take MATH10320, PHYC10250 and PHYC20080 in either Stage 1 or Stage 2. PHYC20080 should only be taken by students in Stage 1 if they have achieved H5 in both Mathematics and Physics at Leaving Certificate or equivalent.
 PHYC20080 Fields, Waves and Light Spring  5
Stage 1 Options - C) Min 0 of:
Students who intend to take Mathematics, Physics and Education in Stage 2 and are NOT taking ACM10080 or PHYC10070, must take an additional Physics module in Stage 1 (other than the core and programme cores outlined above - PHYC10080, PHYC20080 and PHYC10250). This is in order to meet the Teaching Council Criteria for teaching Physics. Some Physics modules are recommended below.
 PHYC10050 Astronomy & Space Science Autumn  5
Stage 1 Options - C) Min 0 of:
Students who intend to take Mathematics, Physics and Education in Stage 2 and are NOT taking ACM10080 or PHYC10070, must take an additional Physics module in Stage 1 (other than the core and programme cores outlined above - PHYC10080, PHYC20080 and PHYC10250). This is in order to meet the Teaching Council Criteria for teaching Physics. Some Physics modules are recommended below.
 PHYC10210 Quanta, Particles & Relativity Autumn  5
Stage 1 Options - D) Min 0 of:
If students take MATH10040 Numbers and Functions in Stage 1 or Stage 2, they can also qualify to teach Applied Mathematics.
 MATH10040 Numbers & Functions Autumn  5
Stage 1 Options - E) Min 0 of:
Students who intend to pursue a pathway in Mathematics, Physcs and Education may wish to consider taking 5 credits in Chemistry and in Biology in order to prepare them for teaching Junior Cycle Science. If you have not taken Chemistry before, you may wish to take CHEM00010 Introduction to Chemistry. If you have taken Chemistry and achieved an O2 or H5 or better in Leaving Cert Physics (or equivalent), you may wish to consider other listed Chemistry modules. If you have not taken Biology before, you may wish to take BIOL00010 Fundamentals of Biology. If you have taken Biology and achieved an O2 or H5 or better in Leaving Certificate Biology (or equivalent) you may wish to consider other listed Biology modules.
BIOL00010 Fundamentals of Biology Autumn  5
Stage 1 Options - E) Min 0 of:
Students who intend to pursue a pathway in Mathematics, Physcs and Education may wish to consider taking 5 credits in Chemistry and in Biology in order to prepare them for teaching Junior Cycle Science. If you have not taken Chemistry before, you may wish to take CHEM00010 Introduction to Chemistry. If you have taken Chemistry and achieved an O2 or H5 or better in Leaving Cert Physics (or equivalent), you may wish to consider other listed Chemistry modules. If you have not taken Biology before, you may wish to take BIOL00010 Fundamentals of Biology. If you have taken Biology and achieved an O2 or H5 or better in Leaving Certificate Biology (or equivalent) you may wish to consider other listed Biology modules.
BIOL10130 Biology in Action Autumn  5
Stage 1 Options - E) Min 0 of:
Students who intend to pursue a pathway in Mathematics, Physcs and Education may wish to consider taking 5 credits in Chemistry and in Biology in order to prepare them for teaching Junior Cycle Science. If you have not taken Chemistry before, you may wish to take CHEM00010 Introduction to Chemistry. If you have taken Chemistry and achieved an O2 or H5 or better in Leaving Cert Physics (or equivalent), you may wish to consider other listed Chemistry modules. If you have not taken Biology before, you may wish to take BIOL00010 Fundamentals of Biology. If you have taken Biology and achieved an O2 or H5 or better in Leaving Certificate Biology (or equivalent) you may wish to consider other listed Biology modules.
BIOL10140 Life on Earth Autumn  5
Stage 1 Options - E) Min 0 of:
Students who intend to pursue a pathway in Mathematics, Physcs and Education may wish to consider taking 5 credits in Chemistry and in Biology in order to prepare them for teaching Junior Cycle Science. If you have not taken Chemistry before, you may wish to take CHEM00010 Introduction to Chemistry. If you have taken Chemistry and achieved an O2 or H5 or better in Leaving Cert Physics (or equivalent), you may wish to consider other listed Chemistry modules. If you have not taken Biology before, you may wish to take BIOL00010 Fundamentals of Biology. If you have taken Biology and achieved an O2 or H5 or better in Leaving Certificate Biology (or equivalent) you may wish to consider other listed Biology modules.
CHEM00010 Introductory Chemistry Autumn  5
Stage 1 Options - E) Min 0 of:
Students who intend to pursue a pathway in Mathematics, Physcs and Education may wish to consider taking 5 credits in Chemistry and in Biology in order to prepare them for teaching Junior Cycle Science. If you have not taken Chemistry before, you may wish to take CHEM00010 Introduction to Chemistry. If you have taken Chemistry and achieved an O2 or H5 or better in Leaving Cert Physics (or equivalent), you may wish to consider other listed Chemistry modules. If you have not taken Biology before, you may wish to take BIOL00010 Fundamentals of Biology. If you have taken Biology and achieved an O2 or H5 or better in Leaving Certificate Biology (or equivalent) you may wish to consider other listed Biology modules.
BMOL10030 Biomedical Sciences: Understanding Human Disease. Spring  5
Stage 1 Options - E) Min 0 of:
Students who intend to pursue a pathway in Mathematics, Physcs and Education may wish to consider taking 5 credits in Chemistry and in Biology in order to prepare them for teaching Junior Cycle Science. If you have not taken Chemistry before, you may wish to take CHEM00010 Introduction to Chemistry. If you have taken Chemistry and achieved an O2 or H5 or better in Leaving Cert Physics (or equivalent), you may wish to consider other listed Chemistry modules. If you have not taken Biology before, you may wish to take BIOL00010 Fundamentals of Biology. If you have taken Biology and achieved an O2 or H5 or better in Leaving Certificate Biology (or equivalent) you may wish to consider other listed Biology modules.
CHEM10050 Basis of Organic and Biological Chemistry Spring  5
Stage 1 Options - F) Min 0 of:
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.
 CHEM10040 The Molecular World Autumn  5
Stage 1 Options - F) Min 0 of:
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.
 CHEM20100 Basis of Inorganic Chemistry Autumn  5
Stage 1 Options - F) Min 0 of:
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.
 COMP10010 Introduction to Programming I Autumn  5
Stage 1 Options - F) Min 0 of:
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.
 PHIL10160 Critical Thinking Autumn  5
Stage 1 Options - F) Min 0 of:
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.
 PHYC10210 Quanta, Particles & Relativity Autumn  5
Stage 1 Options - F) Min 0 of:
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.
 GEOL10060 Introduction to Earth Sciences Autumn and Spring (separate)  5
Stage 1 Options - F) Min 0 of:
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.
 STAT10050 Practical Statistics Autumn and Spring (separate)  5
Stage 1 Options - F) Min 0 of:
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.
 ACM10090 Climate Change:Causes & Consequences Spring  5
Stage 1 Options - F) Min 0 of:
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.
 BIOL10110 Cell Biology & Genetics Spring  5
Stage 1 Options - F) Min 0 of:
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.
 CHEM20140 Introductory Transition Metal Chemistry Spring  5
Stage 1 Options - F) Min 0 of:
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.
 COMP10020 Introduction to Programming II Spring  5
Stage 1 Options - F) Min 0 of:
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.
 COMP10060 Computer Science for Engineers I Spring  5
Stage 1 Options - F) Min 0 of:
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.
 GEOL10070 Understanding Earth Systems Spring  5
Stage 2 Core Modules
 ACM20030 Computational Science Autumn  5
Stage 2 Core Modules
 EDUC20030 Key Ideas in Education Autumn  5
Stage 2 Core Modules
 MATH20060 Calculus of Several Variables Autumn  5
Stage 2 Core Modules
 PHYC20020 Introductory Quantum Mechanics Autumn  5
Stage 2 Core Modules
 ACM20150 Vector Integral & Differential Calculus Spring  5
Stage 2 Core Modules
 EDUC20020 Science and Maths Pedagogy Spring  5
Stage 2 Core Modules
 PHYC20060 Methods for Physicists Spring  5
Stage 2 Core Modules
 PHYC20090 Electronics and Devices Spring  5
Stage 2 Options - A) Min 0 of:
If not previously taken in Stage 1, students in Stage 2 Mathematics, Physics and Education must take MATH10320, PHYC10250 and PHYC20080 in Stage 2.
 PHYC10250 Thermal Physics and Materials Autumn  5
Stage 2 Options - A) Min 0 of:
If not previously taken in Stage 1, students in Stage 2 Mathematics, Physics and Education must take MATH10320, PHYC10250 and PHYC20080 in Stage 2.
 MATH10320 Mathematical Analysis Spring  5
Stage 2 Options - A) Min 0 of:
If not previously taken in Stage 1, students in Stage 2 Mathematics, Physics and Education must take MATH10320, PHYC10250 and PHYC20080 in Stage 2.
 PHYC20080 Fields, Waves and Light Spring  5
Stage 2 Options - B) Min 0 of:
Students must take PHYC20100 in Stage 2 or Stage 3, but must complete PHYC10250 prior to taking PHYC20100. Students who intend to take Stage 3 Mathematics, Physics and Education must take STAT20110 in either Stage 2 or Stage 3.
 PHYC20100 Thermo & Stat Physics Autumn  5
Stage 2 Options - B) Min 0 of:
Students must take PHYC20100 in Stage 2 or Stage 3, but must complete PHYC10250 prior to taking PHYC20100. Students who intend to take Stage 3 Mathematics, Physics and Education must take STAT20110 in either Stage 2 or Stage 3.
 STAT20110 Introduction to Probability Autumn  5
Stage 2 Options - C) Min 0 of:
If students take MATH10040 Numbers and Functions in Stage 1 or Stage 2, they can also qualify to teach Applied Mathematics.
 MATH10040 Numbers & Functions Autumn  5
Stage 3 Core Modules
 MATH30340 Peer-Assisted Tutoring Autumn  5
Stage 3 Core Modules
 MST20010 Algebraic Structures Autumn  5
Stage 3 Core Modules
 PHYC30020 Classical Mechanics and Relativity Autumn  5
Stage 3 Core Modules
 PHYC30370 Study Abroad Physics Labs (5) Autumn and Spring (separate)  5
Stage 3 Core Modules
 EDUC30050 Schools and Society Spring  5
Stage 3 Core Modules
 MATH30390 Mathematics Pedagogy & Curriculum in Placement Spring  5
Stage 3 Core Modules
 PHYC30070 Electromagnetism Spring  5
Stage 3 Core Modules
 PHYC30090 Nuclear Physics Spring  5
Stage 3 Options - A) Min 0 of:
If not taken in Stage 2, STAT20110 and PHYC20100 must be taken in Stage 3.
PHYC20100 Thermo & Stat Physics Autumn  5
Stage 3 Options - A) Min 0 of:
If not taken in Stage 2, STAT20110 and PHYC20100 must be taken in Stage 3.
STAT20110 Introduction to Probability Autumn  5
Stage 3 Options - B) Min 0 of:
Students must take PSY10050 and MST30070 in Stage 3 or Stage 4.
 PSY10050 Introduction to Psychology Autumn and Spring (separate)  5
Stage 3 Options - B) Min 0 of:
Students must take PSY10050 and MST30070 in Stage 3 or Stage 4.
 MST30070 Differential Geometry Spring  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 EDUC10180 Irish Childhoods Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MATH20150 Graphs and Networks Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MATH30030 Advanced Linear Algebra Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MATH30090 Metric Spaces Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MATH30360 Measure Theory and Integration Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MST30010 Group Theory and Applications Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MST30020 History of Mathematics Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 PHYC30030 Quantum Mechanics Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 SUST10010 Introduction to Sustainability Autumn  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 BSEN10010 Biosystems Engineering Design Challenge Spring  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 DSCY10040 Childhood Spring  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 DSCY10060 Energy, Climate Change & Policy Spring  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MATH30120 Topology Spring  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MATH30250 Cryptography: Theory & Practice Spring  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 MATH30370 Markov Chains Spring  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 PSY10040 Introduction to the Psychology of Perception and Cognition Spring  5
Stage 3 Options - C) Min 0 of:
Students may take 10 credits from elective modules to complete Stage 3. Alternatively, students may take modules from the list below to complete Stage 3.
 STAT20100 Inferential Statistics Spring  5
Stage 4 Core Modules
 EDUC42180 Professional Placement & Portfolio 1 2 Trimester duration (Aut-Spr)  20
Stage 4 Core Modules
 EDUC42850 Teaching Science A Autumn  5
Stage 4 Core Modules
 MATH40810 Mathematics Pedagogy for Classroom Practice Autumn  5
Stage 4 Core Modules
 MST30010 Group Theory and Applications Autumn  5
Stage 4 Core Modules
 MST30050 Complex Analysis Autumn  5
Stage 4 Core Modules
 EDUC42840 Maths Pedagogy in Placement Spring  5
Stage 4 Core Modules
 EDUC42860 Teaching Science B Spring  5
Stage 4 Options - C) Min 0 of:
If not taken in Stage 3, PSY10050 and MST30070 should be taken in Stage 4.
 PSY10050 Introduction to Psychology Autumn and Spring (separate)  5
Stage 4 Options - C) Min 0 of:
If not taken in Stage 3, PSY10050 and MST30070 should be taken in Stage 4.
 MST30070 Differential Geometry Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 EDUC10180 Irish Childhoods Autumn  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 EDUC43370 Teaching Second Level Science Autumn  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 EDUC43930 Maths/Applied Maths Methods 1A Autumn  2.5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 MATH30360 Measure Theory and Integration Autumn  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 MST30020 History of Mathematics Autumn  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 PHYC30030 Quantum Mechanics Autumn  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 PSY20020 Child & Adolescent Development Autumn  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 SCI30080 Professional Placement-Science Autumn  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 SUST10010 Introduction to Sustainability Autumn  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 BSEN10010 Biosystems Engineering Design Challenge Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 DSCY10040 Childhood Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 DSCY10060 Energy, Climate Change & Policy Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 EDUC43940 Maths/Applied Maths Methods 1B Spring  2.5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 MATH30120 Topology Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 MATH30250 Cryptography: Theory & Practice Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 MATH30370 Markov Chains Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 MST30030 Financial Mathematics Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 PSY10040 Introduction to the Psychology of Perception and Cognition Spring  5
Stage 4 Options - D) Min 0 of:
Students who have taken PSY10050 and MST30070 in Stage 3 select 10 credits from the list below to complete Stage 4. Students who take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit.
 STAT20100 Inferential Statistics Spring  5

I had trouble choosing the right course because I had so many interests; maths and physics, essay writing, public speaking, and children’s development. I wanted a course that combined all these interests; then I found the Physics, Mathematics & Education degree. It combined all these areas and was the perfect fit for me. I encounter unique perspectives and ideas in every class. The structure of the course was also extremely appealing with plenty of time to think about our decisions. In UCD, I am currently part of the leadership committee for Draw Society, and I highly recommend everyone to get involved in clubs and societies.

Hanna Biju, Student

Print this page

General application route(s) for Irish/UK/EU applicants* for International (non-EU) applicants* to Physics, Mathematics & Education:

ROWCLASS Apply to   Application Type  
showAudience-audienceInt SCU1
Science
Bachelor of Science
Full-Time
Commencing September 2024
 Undergraduate Degree (Non EU)
Non EU Undergraduates		 Closed
showAudience-audienceInt SCU1
Science
Bachelor of Science
Full-Time
Commencing September 2025
 Undergraduate Degree (Non EU)
Non EU Undergraduates		 Apply
showAudience-audienceEU DN200
Science
Bachelor of Science
Full-Time
Commencing September 2025
 Application through CAO Apply via CAO
showAudience-audienceEU DN200
Science, Mathematics & Education
Bachelor of Science
Full-Time
Commencing September 2025
 Application through CAO Apply via CAO
* you can change options at the top of the page

Additional special entry route(s) to Physics, Mathematics & Education:

These options have additional eligibility requirements to cater for specific applicant cohorts. You should not apply via these routes before consulting the requirements or contacting the responsible UCD office.

ROWCLASS Apply to   Application Type  
showAudience-audienceEU showAudience-audienceInt SCU1
Science
Bachelor of Science		 Full-Time

Commencing September 2025		 Access Progression Pathway
Access Progression Pathway
Application to this Non-EU Access Progression Pathway is by invitation only. If you are not currently enrolled on an Access programme at UCD, your application will be marked as invalid.
If you are not a current Access student, but you are a non-EU applicant seeking admission to an undergraduate degree, please submit an application via the "Undergraduate Degree (Non-EU)" course type.		 Apply
Chat to StudentsContact UsEvent AlertsVisit UCD GlobalVisit MyUCDDownload BrochureDownload BrochureView UCD Prospectus
Fill in the following details:
Enter the body of your query here.

From time to time UCD would like to send you further information that we feel, based on your enquiry, would be of interest to you.