### Overview

**NFQ Level 8, Major Award**

### Regulations and Programme Requirements

Students enter the Single Honours BSc (Hons) Mathematical Sciences through CK407 (Mathematical Sciences) Area of Study.

#### Notes**:**

*The final set of electives and 'project-related' modules offered is subject to the availability of adequate staff resources and therefore may need to be a subset of those indicated. *

### Eligibility for Entry to Second Year Programmes

Students from the Mathematical Sciences Area of Study (CK407) who pass First Science may opt to enter the Single Honours Mathematical Sciences.

### BSc Ordinary Degree - NFQ Level 7, Major Award

Students who pass Third Year may choose not to proceed to Fourth Year and may opt instead to be conferred with a BSc Ordinary Degree.

### Programme Requirements

For information about modules, module choice, options and credit weightings, please go to Programme Requirements.

### Programme Requirements

Module List
Code |
Title |
Credits |

| |

AM1052 | Introduction to Mechanics | 5 |

AM1053 | Introduction to Mathematical Modelling | 5 |

AM1054 | Mathematical Software | 5 |

MA1057 | Introduction to Abstract Algebra | 5 |

MA1058 | Introduction to Linear Algebra | 5 |

MA1059 | Calculus | 5 |

MA1060 | Introduction to Analysis | 5 |

ST1051 | Introduction to Probability and Statistics | 5 |

| 20 |

| Investment in Capital Assets | |

| Introduction to Valuation and Risk | |

| Habitats and Ecosystems | |

| Introduction to Chemistry for Physicists and Mathematicians | |

| Programming in C | |

| Computer Applications Programming | |

| Introduction to Internet Technologies | |

| Geometry | |

| Principles of Market Analysis | |

| Introductory Physics I | |

| Introductory Physics II | |

| Statistical Programming in R | |

| |

AM2052 | Mathematical Modelling | 5 |

AM2060 | Object Oriented Programming with Applications | 5 |

AM2061 | Computer Modelling and Numerical Techniques | 5 |

AM2071 | Fourier Methods | 5 |

MA2051 | Mathematical Analysis I | 5 |

MA2054 | Ordinary Differential Equations | 5 |

MA2055 | Linear Algebra | 5 |

MA2071 | Multivariable Calculus | 5 |

MA3054 | Complex Analysis | 5 |

ST2053 | Introduction to Regression Analysis | 5 |

ST2054 | Probability and Mathematical Statistics | 10 |

| |

AM3051 | Vector and Tensor Methods | 5 |

AM3063 | Partial Differential Equations with Applications I | 5 |

AM3064 | Computational Techniques | 5 |

MA3051 | Mathematical Analysis II | 5 |

MA3052 | Ring and Field Theory | 5 |

ST3061 | Statistical Theory of Estimation | 5 |

ST3062 | Statistical Theory of Hypothesis Testing | 5 |

| 25 |

| Introduction to Fluid Mechanics and Wave Theories (5) | |

| Optimisation and the Calculus of Variations (5) | |

| Dynamical Systems and Bifurcation Theory (5) | |

| Metric Spaces and Topology (5) | |

| Introduction to Modern Algebra (5) | |

| Introduction to Differential Geometry (5) | |

| Stochastic Modelling I (5) | |

| Survival Analysis (5) | |

| Generalised Linear Models (5) | |

| Statistical Methods for Non-Life Insurance (5) | |

| Statistical Methods for Machine Learning I (5) | |

^{1} | |

MS4090 | Mathematical Sciences Project | 10 |

| |

| Introduction to Fluid Mechanics and Wave Theories () | |

| Optimisation and the Calculus of Variations () | |

| Dynamical Systems and Bifurcation Theory () | |

| Complex Analysis (5) | |

| Metric Spaces and Topology () | |

| Stochastic Modelling I () | |

| Survival Analysis () | |

| Generalised Linear Models () | |

| Statistical Methods for Non-Life Insurance () | |

| Statistical Methods for Machine Learning I () | |

| |

| Partial Differential Equations with Applications II () | |

| Perturbation and Asymptotic Methods () | |

| Network Science: Theory and Applications () | |

| Applications of Machine Learning () | |

| Functional Analysis () | |

| Measure Theory and Martingales () | |

| Topics in Modern Algebra () | |

| Topics in Differential Geometry () | |

| Stochastic Analysis () | |

| Statistical Consulting () | |

| Statistical Methods for Machine Learning II () | |

| Time Series () | |

| Gravitation and Cosmology () | |

Total Credits | 240 |

### Examinations

Full details and regulations governing Examinations for each programme will be contained in the *Marks and Standards Book* and for each module in the *Book of Modules*.

### Programme Learning Outcomes

**Programme Learning Outcomes for BSc in Mathematical Sciences (NFQ Level 8, Major Award)**

On successful completion of this programme, students should be able to:

- Apply their knowledge and understanding of the basic concepts, theories, principles and practical methods of the mathematical sciences to analyse and solve theoretical and practical problems;

- Give clear and organized written and verbal explanations of mathematical and statistical ideas;

- Demonstrate mastery of the core concepts of several areas of pure mathematics, applied mathematics and statistics;

- Extend course material to solve original problems;

- Recognize the interdependency of different areas of the mathematical sciences;

- Contribute effectively as members of project teams dealing with mathematical/statistical topics, including the delivery of oral presentations and written reports.