Applied mathematics is the branch of mathematics focused on developing mathematical methods and applying them to solve real-world problems in science, engineering, industry and technology. Computational mathematics utilises computational techniques and simulations to produce problem-solving techniques and methodologies. This programme is aimed at students who wish to gain a deep understanding of the concepts of modern applied mathematics, and a mastery of the associated mathematical and computational skills. Our students will become autonomous learners capable of formulating and creatively solving relevant problems through techniques in mathematical and computational modeling. Our students will become flexible enough in their thinking and training to apply these techniques to a wide range of fields in the traditional application areas in the Physical Sciences, but also in emerging application areas, such as finance and biology. Our graduates will be in demand by employers and academic research institutes for their ability to use the tools they have learned to explain, describe and predict. We value students who are motivated to find the underlying physical causes 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, on-line course material and computer assisted labs.
- School
- School of Mathematics and Statistics
- Attendance
- Full Time
- Level
- Undergraduate
- NFQ Level
- 8
- Award
- Bachelor of Science
- Mode of Delivery
- On Campus
- Programme Director
- Dr James Herterich
- Overall Programme Credits:
- 240
- Programme Credits:
- Stage 1
Core/Option: 55 Electives: 5
Stage 2
Core/Option: 50 Electives: 10
Stage 3
Core/Option: 50 Electives: 10
Stage 4
Core/Option: 60 Electives: 0 - Major/Minor Core & Option Credits:
- Stage 3: 50
Stage 4: 60
Curricular information is subject to change.
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/
1 - Demonstrate an in-depth understanding of core mathematics and a solid knowledge of both abstract mathematics and statistics
2 - Demonstrate strong proficiency in mathematical and computational methods, including computer programming
3 - Apply the tools of mathematical and computational methods, including computer programming, to at least one application area which the students will have studied in depth
4 - Model real-world problems in a mathematical framework, at the same time demonstrating a real understanding of the limitations of modeling and the restrictions imposed by modeling assumptions
5 - Use the language of logic to reason correctly and make deductions
6 - Approach problems in an analytical, precise and rigorous way
7 - Analyze and interpret data and model predictions, find patterns and draw conclusions
8 - Work independently and as part of a team
9 - Carry out research into a specific topic, including a survey and synthesis of the known literature
10 - Give oral presentations of technical mathematical material at a level appropriate for the audience
11 - Prepare a written report on technical mathematical content in clear and precise language
2 - Demonstrate strong proficiency in mathematical and computational methods, including computer programming
3 - Apply the tools of mathematical and computational methods, including computer programming, to at least one application area which the students will have studied in depth
4 - Model real-world problems in a mathematical framework, at the same time demonstrating a real understanding of the limitations of modeling and the restrictions imposed by modeling assumptions
5 - Use the language of logic to reason correctly and make deductions
6 - Approach problems in an analytical, precise and rigorous way
7 - Analyze and interpret data and model predictions, find patterns and draw conclusions
8 - Work independently and as part of a team
9 - Carry out research into a specific topic, including a survey and synthesis of the known literature
10 - Give oral presentations of technical mathematical material at a level appropriate for the audience
11 - Prepare a written report on technical mathematical content in clear and precise language
Students’ performance will be reviewed at the end of the academic year. Students who fail 50% or more of their registered modules, and who fail to progress to the next stage of their programme, will be identified under the UCD Continuation – Academic progress policy. Students’ performance will continue to be reviewed in subsequent trimesters and students will be invited to meetings with the College of Science office for support and guidance.
Where the rate of progression and performance over two academic years is deemed unacceptable, a case will be submitted to the Governing Board for review. A recommendation for discontinuation may be the outcome of this review.
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.
Where the rate of progression and performance over two academic years is deemed unacceptable, a case will be submitted to the Governing Board for review. A recommendation for discontinuation may be the outcome of this review.
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 may apply to study abroad for a trimester in third year in partner institutions internationally.
Graduates with training in Applied & Computational Mathematics work in fields as diverse as analytics and forecasting, meteorology, energy systems, electronics, biomedical applications and bio-information, finance, pharmaceutical industry, environmental agencies and companies, and computing in business, technology, research, and academia.
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).
Stage 3
Students take 6 core modules and 20 credits of option modules. Additional modules can be selected from the list of option modules below. Students can also select 10 credits from elective modules.
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 2 core modules and 9 option modules.
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.
| Trimester | Credits | |||
|---|---|---|---|---|
Stage 3 Core Modules |
ACM30130 | Advanced Computational Science | Autumn | 5 |
Stage 3 Core Modules |
ACM30190 | Dynamical Systems | Autumn | 5 |
Stage 3 Core Modules |
ACM30220 | Partial Differential Equations | Autumn | 5 |
Stage 3 Core Modules |
ACM30020 | Applied Analysis | Spring | 5 |
Stage 3 Core Modules |
ACM30140 | Numerical Methods for PDEs | Spring | 5 |
Stage 3 Core Modules |
MATH30040 | Complex Analysis | Spring | 5 |
Stage 3 Options - A) Min 0 of: If not previously taken in Stage 2, students must take MATH20300 and STAT20100 in Stage 3. |
MATH20300 | Linear Algebra 2 for the Mathematical Sciences | Autumn | 5 |
Stage 3 Options - A) Min 0 of: If not previously taken in Stage 2, students must take MATH20300 and STAT20100 in Stage 3. |
STAT20100 | Inferential Statistics | Spring | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
MATH30090 | Metric Spaces | Autumn | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
PHYC30020 | Classical Mechanics and Relativity | Autumn | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
STAT20230 | Modern Regression Analysis | Autumn | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
STAT30090 | Models - Stochastic Models | Autumn | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
ACM30090 | Mathematical Biology | Spring | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
ACM30110 | Advanced Computational Finance | Spring | 10 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
ACM30200 | Mathematical Fluid Dynamics I | Spring | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
ACM30210 | Foundations of Quantum Theory | Spring | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
MATH20310 | Groups, Rings and Fields | Spring | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
MATH30120 | Topology | Spring | 5 |
Stage 3 Options - B) Min 0 of: Students must select a minimum of 20 credits of options in Stage 3. If not previously taken in Stage 2 these options may need to include MATH20300, or STAT20100. Otherwise, all Stage 3 option modules must be taken from the list below. |
MATH30250 | Cryptography: Theory & Practice | Spring | 5 |
Stage 4 Core Modules |
ACM40980 | Research Project | 2 Trimester duration (Aut-Spr) | 10 |
Stage 4 Core Modules |
ACM40690 | Applied Complex Variables | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
ACM40010 | Electrodynamics & Gauge Theory | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
ACM40070 | Math Fluid Dynamics II | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
ACM40750 | Gen Relativity & Black Holes | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
ACM41020 | Maths of Machine Learning | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
MATH30340 | Peer-Assisted Tutoring | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
MATH30360 | Measure Theory and Integration | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
SCI30080 | Professional Placement-Science | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
STAT30010 | Time Series | Autumn | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
ACM40890 | Advanced Fluid Mechanics | Spring | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
ACM41010 | Math of Sust & Environment | Spring | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
ACM41030 | Optimization Algorithms | Spring | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
ACM41040 | GR and Gravitational Waves | Spring | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
MATH30250 | Cryptography: Theory & Practice | Spring | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
MATH30370 | Markov Chains | Spring | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
MATH40480 | Probability Theory | Spring | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
MATH40830 | Maths of Quantum Computation | Spring | 5 |
Stage 4 Options - B) Min 9 of: Students should select at least 9 modules from the list below. Please note that students who successfully completed SCI30080 will be registered by the School to the module. Additional options may be selected, subject to the approval by the program director of ACM and depending on timetable and availability of places. Students take MATH30340 subject to resourcing and approval of module coordinator. |
STAT40150 | Multivariate Analysis | Spring | 5 |
See the UCD Assessment website for further details, including worked examples of how degree award GPAs are calculated
Module Weighting Info
Module Weighting Info
| Award | GPA | ||||
|---|---|---|---|---|---|
| Programme | Module Weightings | Rule Description | Description | ||
| BHSCI001 | Stage 4 - 70.00% Stage 3 - 30.00% |
Standard Honours Award | First Class Honours | 3.68 |
4.20 |
| Second Class Honours, Grade 1 | 3.08 |
3.67 |
|||
| Second Class Honours, Grade 2 | 2.48 |
3.07 |
|||
| Pass | 2.00 |
2.47 |
|||